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Draft Code of Practice for the Geometric Design of Trunk Roads September 1998 (Reprinted July 2001) Prepared by the Division of Roads and Transport Technology, CSIR

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Page 1: Draft Code of Practice for the Geometric Design of … Code of Practice for the Geometric Design of Trunk Roads September 1998 (Reprinted July 2001) Prepared by the Division of Roads

Draft

Code of Practicefor the

Geometric Design of Trunk RoadsSeptember 1998

(Reprinted July 2001)

Prepared by the Division of Roads and Transport Technology, CSIR

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FORWARD

The geometric design standards of the southern African rural road authorities were derived largely fromAmerican and English practice. Local experience and opinion over the years however have led todifferences between the sets of standards used by the various authorities.

The Southern African Transport and Communications Commission is aware that uniformity of designpractice will be of value in meeting the expectations of a rapidly growing and increasingly mobile driverpopulation. Furthermore, this increase in mobility has resulted in an increase in cross-border traffic sothat there is a greater need than before for uniformity of design practice between the member states ofthe Southern African Development Community. Finally, geometric design guidelines should bespecifically oriented towards southern African conditions. The Commission has therefore decided thatthe objectives of uniformity and local relevance should be more actively pursued than in the past.

This document is a further step towards the achievement of the first of these objectives and is asuccessor to the document “Recommendations on Road Design Standards: Volume 1 - GeometricDesign of Rural Roads”. It is based on current practice as described in the original document as well ason currently available national Geometric Design Manuals and is regarded as a pilot document. Thesecond objective is to be attained by an on-going process of amendment of the pilot document, throughconsultation between the authorities, discussion with practitioners and by research. The ultimate goalof both objectives is a definitive portfolio of statements on the geometric design of rural roads on thesouthern African continent.

The wide variety of topographic and climatic conditions prevailing in southern Africa precludes theprovision of standards that can cover all circumstances. The rigid application of standards is, in anyevent, inimical to good design. This document therefore offers guidelines in preference to standards.In addition, brief reasons are given for the suggested values of the guidelines. These should be usefulto the designer in judging the validity of the guidelines in a specific situation, as well as the consequencesof departing from the values suggested.

A soundly based philosophy means far more to good design than any book of standards. It is to thedevelopment, encouragement and maintenance of this philosophy of design that this document isdedicated.

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TABLE OF CONTENTS

LIST OF TABLES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v

LIST OF FIGURES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vi

1. INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-11.1 Background . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-11.2 Scope of the Document . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-11.3 Traffic Volumes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-21.4 Traffic Speeds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-21.5 Capacity and Level of Service . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-31.6 Classification of Rural Roads . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-51.7 Design Approach . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-7

2. BASIC CRITERIA . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2-12.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2-12.2 The Design Vehicle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2-12.3 The Driver . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2-22.4 The Road Surface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2-62.5 Sight Distance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2-6

3. HORIZONTAL ALIGNMENT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-13.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-13.2 Tangents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-13.3 Curvature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-23.4 Successive Curves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-43.5 Transition Curves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-63.6 Super-elevation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-83.7 Curve Widening . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-17

4. VERTICAL ALIGNMENT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-14.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-14.2 Curvature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-14.3 Gradients . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-34.4 Phasing of Vertical and Horizontal Alignment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-44.5 Climbing Lanes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-5

5. CROSS-SECTIONAL ELEMENTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5-15.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5-15.2 Lanes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5-15.3 Shoulders . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5-35.4 Medians . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5-45.5 Verges . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5-55.6 Slopes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5-65.7 Minor Structures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5-75.8 Clearances . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5-7

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6. DRAINAGE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6-16.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6-16.2 Silting and Scouring . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6-16.3 Channel Profiles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6-26.4 Types of Drain . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6-36.5 Discharge from Drains . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6-5

7. SAFETY BARRIERS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7-17.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7-17.2 Guardrails . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7-17.3 Median Barriers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7-7

8. INTERSECTIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8-18.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8-18.2 Location of Intersections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8-18.3 Unchannelised Intersections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8-48.4 Speed-change Lanes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8-48.5 Channelised Intersections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8-78.6 Median Openings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8-128.7 Typical Intersections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8-14

9. INTERCHANGES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9-19.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9-19.2 Warrants for Interchanges . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9-19.3 The Function of Interchanges . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9-29.4 Interchange Types . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9-29.5 Ramps and Their Application . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9-109.6 Lane Balance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9-139.7 Weaving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9-159.8 Minimum Spacing of Interchanges . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9-15

10. INTERCHANGE DESIGN . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10-110.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10-110.2 Ramp Design Speed . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10-110.3 Decision Sight Distance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10-210.4 Horizontal Curvature on Ramps . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10-210.5 Super-elevation on Ramps . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10-310.6 Crossover Crown . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10-410.7 Vertical Alignment of Ramps . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10-410.8 Ramp Cross-section . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10-510.9 Ramp Terminals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10-6

11. PEDESTRIANS AND PEDAL CYCLISTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11-111.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11-111.2 Footways . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11-111.3 Bridges . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11-211.4 Bus Stops . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11-211.5 Refuge Islands . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11-411.6 Footbridges and Subways . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11-411.7 Lighting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11-5

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11.8 Cycle Lanes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11-511.9 Speed Zoning . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11-6

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LIST OF TABLES

Table 1.1: Capacity of two-lane two-way roads (level terrain) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-4Table 1.2: Design factors for two-lane two-way roads . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-5Table 1.3: Design factors for four-lane freeways . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-6Table 2.1: Dimensions of design vehicles (m) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2-1Table 2.2: Minimum turning radii . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2-2Table 2.3: Brake force coefficients . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2-6Table 2.4: Stopping sight distance on level roads . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2-7Table 2.5: Barrier sight distance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2-9Table 2.6: Decision sight distance on level roads . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2-11Table 2.7: Passing sight distance on level roads . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2-11Table 3.1: Minimum radii of horizontal curvature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-3Table 3.2: Relative slope factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-10Table 3.3: Minimum length of super-elevation run-off for two-lane roads . . . . . . . . . . . . . . . . . . . 3-10Table 3.4: Lane factors for super-elevation run-off . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-14Table 4.1: Minimum values of k for vertical curves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-2Table 4.2: Minimum lengths of vertical curves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-3Table 4.3: Maximum gradients . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-3Table 4.4: Critical length of grade . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-4Table 4.5: Traffic volume warrants for climbing lanes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-7Table 5.1: Values of adt warranting the provision of passing lanes . . . . . . . . . . . . . . . . . . . . . . . . 5-3Table 6.1: Scour velocities for various materials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6-2Table 8.1: Deceleration lane length . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8-6Table 8.2: Allowance for gradient . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8-6Table 8.3: Acceleration lane lengths . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8-7Table 8.4: Turning roadway widths . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8-11Table 8.5: Minimum radii of horizontal curvature on turning roadways . . . . . . . . . . . . . . . . . . . . . 8-12Table 9.1: Minimum spacing between rest areas and adjacent interchanges . . . . . . . . . . . . . . . . 9-16Table 10.1: Design speed of semi-directional ramps . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10-1Table 10.2: Minimum radii of horizontal curvature on ramps . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10-2Table 10.3: Rate of super-elevation development . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10-3Table 10.4: Maximum change in slope across cross-over crown line . . . . . . . . . . . . . . . . . . . . . . 10-4Table 10.5: Minimum values of k for vertical curves on ramps . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10-5Table 10.6: Minimum lengths of vertical curves on ramps . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10-5Table 11.1: Warrants for pedestrian footways . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11-1Table 11.2: Pedestrian sight distances . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11-4Table 11.3: Recommended minimum subway dimensions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11-5

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LIST OF FIGURES

Figure 1.1: Influence of speed on level of service . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-4Figure 2.1: Wheeltracks for rigid chassis vehicles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2-3Figure 2.2: Wheeltracks for articulated vehicles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2-4Figure 2.3: Truck speeds on grades . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2-5Figure 2.4: Stopping sight distance on grades . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2-8Figure 2.5: Minimum horizontal radius for stopping sight distance . . . . . . . . . . . . . . . . . . . . . . . . . 2-10Figure 2.6: Intersection sight distance for crossing manoeuvre (Stop condition) . . . . . . . . . . . . . . 2-13Figure 2.7: Intersection sight distance for turning manoeuvre (Stop condition) . . . . . . . . . . . . . . . 2-14Figure 2.8: Intersection sight distance for crossing and turning manouevre (Yield Condition) . . . 2-15Figure 3.1: Super-elevation of reverse curves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-5Figure 3.2: Super-elevation of broken-back curves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-7Figure 3.3: Lengths of transition curves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-9Figure 3.4: Super-elevation rates for above-minimum radii of curvature and emax = 6 % . . . . . . . . 3-11Figure 3.5: Super-elevation rates for above-minimum radii of curvature and emax = 8 % . . . . . . . . 3-12Figure 3.6: Super-elevation rates for above minimum radii of curvature and emax = 10 % . . . . . . . 3-13Figure 3.7: Attainment of super-elevation without a transition curve . . . . . . . . . . . . . . . . . . . . . . . 3-15Figure 3.8: Attainment of super-elevation with use of a transition curve . . . . . . . . . . . . . . . . . . . . 3-16Figure 3.9: Curve widening . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-18Figure 4.1: Layout of climbing lane . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-6Figure 5.1: Cross-sectional elements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5-2Figure 5.2: Transition from single- to split grading . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5-9Figure 6.1: Typical drain profiles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6-4Figure 7.1: Equal severity index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7-2Figure 7.2: Application of equal severity curve . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7-3Figure 7.3: Mounting of guardrails . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7-5Figure 7.4: Guardrail end treatment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7-6Figure 7.5: Median barriers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7-8Figure 7.6: End treatment of median barriers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7-9Figure 8.1: Angle of skew . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8-3Figure 8.2: Kerb types . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8-5Figure 8.3: Typical channelised intersection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8-9Figure 8.4: Channelising island . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8-10Figure 8.5: Median end treatment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8-13Figure 8.6: Bellmouth intersections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8-15Figure 9.1: The Diamond Interchange . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9-3Figure 9.2: The Par-Clo Interchange . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9-5Figure 9.3: Cloverleaf Interchanges . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9-7Figure 9.4: Directional Interchanges . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9-8Figure 9.5: Three-legged Interchanges . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9-9Figure 9.6: Ramp types for left turns . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9-11Figure 9.7: Ramp types for right turns . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9-12Figure 9.8: Lane balance and continuity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9-14Figure 10.1: Single-lane entrance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10-7Figure 10.2: Single-lane exit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10-8Figure 10.3: Two-lane entrance (with one lane added) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10-9Figure 10.4: Two-lane exit (with one lane dropped) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10-10Figure 11.1: Typical bus bay layout . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11-3

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1. INTRODUCTION

1.1 Background

This is a comprehensive portfolio of geometric design guidelines for all classes of rural roadsbut with special emphasis on paved two-lane rural roads and directed mainly towards theSADC trunk road system. It represents agreement on uniformity of geometric guidelines andis based on current practices and standards applied in the various SADC countries. Thedocument will be subject to on-going amendment as suggested by research and experiencegained, thus tailoring adopted values to current local conditions.

This document contains three major departures from normal design manuals:

• Design manuals are usually prepared by road authorities in respect of those roads undertheir control and are prescriptive in nature, whereas this document representsagreement by the road authorities of the SADC countries on matters of common interest.

• The values quoted in this document are guidelines and not standards. The designer isexpected to apply his own judgment in the selection of design values appropriate to theproject in hand. Although, typically, the need for the application of engineering judgmentis stated in road authority design manuals, the phraseology of this document is intendedto emphasize the point.

• In most cases a brief explanation of the reasons for the recommended values is given.This will aid the evaluation of the applicability of these values to a specific set ofcircumstances, and facilitate the assessment of the consequences of departing from theguideline values. Severe economic or topographic constraints may justify adoption ofa lower geometric standard than is desirable. These constraints will, however, not justifyabandoning a balanced design by downgrading only some of the design elements suchas, for example, reducing the formation width without adjustment of the design speed.

1.2 Scope of the Document

The scope of this document is restricted to the trunk road network as defined by the roadauthorities of the member countries of the Southern Africa Development Community.

For the purpose of this document, the trunk road network is regarded as being essentially ruralin the sense that the individual links are not likely to acquire urban characteristics during theirdesign life.

This document was prepared under the aegis of the Southern African Transport andCommunications Commission by the Division of Roads and Transport Technology, CSIR, ofSouth Africa.

From time to time, individual authorities may wish to issue supplementary guidelines orstandards appropriate to circumstances prevailing in their specific areas of responsibility.These separately published guidelines will advise users of this document of differencesbetween the requirements of the various authorities. They will also serve as the basis ofongoing discussion between the authorities aimed at preserving the uniformity of practice thathas already been achieved. Should it be found that there are significant areas of agreement

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in the supplementary guidelines, the material will be incorporated into the body of thisdocument.

1.3 Traffic Volumes

The design of new routes or improvements to existing routes should be based on projectedtraffic volumes. A design life of 20 years is often assumed for rural roads. This period may bealtered subject to the planning of the authority concerned, and the evaluation of the economicconsequences of departure from the suggested time span. For example, a relatively low-costroad carrying light traffic volumes may justify a shorter design life because of the savingsaccruing from the lower number of axle-load repetitions in the shorter period. A road in veryhilly or mountainous terrain may require a longer design life to achieve a reasonable return onthe initial cost of construction.

Projected traffic volumes should preferably not be derived only by applying a growth factor topresent-day traffic counts. Where an alternative route is available, an origin-destination surveymay be necessary. Where there are many possible alternatives, a full-scale transportationstudy may have to be considered.

Traffic volumes are usually expressed in terms of average daily traffic (ADT) measured invehicles per day with the ADT referring to average traffic over an extended period, typically ofthe order of a year. Reference is made to Annual Average Daily Traffic (AADT) only if trafficcounts are available for the period 1 January to 31 December. The ADT does not reflectmonthly or daily fluctuations in traffic volume unless the month or day is explicitly specified.

On rural roads the design hourly volume is frequently assumed to be the 30th highest hourlyvolume of the future year chosen for design, i.e. the hourly volume exceeded during only 29hours of that year. The design hourly volume, as a percentage of the ADT, is referred as theK-Factor and typically varies between 12 and 18 per cent. A value of 15 per cent is thusnormally assumed unless actual traffic counts suggest another value. On an annual basis, thedirectional split on most rural roads is approximately 50:50. However, during any specific hourthe volume in one direction may be much heavier than in the other. The directional split isoften in the ratio of 60:40, and the heavier flow is the design criterion.

1.4 Traffic Speeds

Traffic speeds are measured and quoted in kilometres per hour. The Highway CapacityManual published by the Transportation Research Board lists definitions of ten differentspeeds, such as spot speed, time mean speed, space mean speed, overall travel speed,running speed, etc. In this document, reference is principally to design speed and operatingspeed.

The design speed is a speed selected for the purposes of the design and correlation of thosefeatures of a road (such as horizontal curvature, vertical curvature, sight distance and super-elevation) upon which the safe operation of vehicles depends. The design speed is linked tothe speed environment which comprises the driver’s perception of the road alignment andstandards, terrain and prevailing traffic.

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Where it is necessary to vary the design speed along a section of road because of topographicor other limiting features, care should be taken to ensure that adequate transitions from higherto lower standards are provided. Where design speeds exceed 90 km/h the variation betweensuccessive speeds should be limited to 10 km/h and, below 80 km/h, the variation should belimited to 20 km/h. Where it is necessary to change the design speed, the new design speedshould apply to an extended section of road and the reason for the change should be obviousto the driver. A case in point is where a road leaves relatively level terrain and starts traversinghilly or mountainous terrain.

Even if properly signposted, isolated design speed variations are extremely dangerous as theydo not match driver expectations and it is always possible that the signpost may be obscured,illegible, removed or even simply not perceived by the driver. Isolated design speed changesare, therefore to be actively discouraged.

The need for a multilane cross-section suggests that traffic volumes are high. To minimiseroad user costs, a design speed of 120 km/h should be used if the topography permits. Trunkroads, even if two-lane two-way, should also be designed to this speed if possible. Rollingterrain may, however, necessitate a reduction to 100 km/h in the design speed and, in the caseof mountainous terrain, it may even be necessary to reduce the design speed to 80 km/h.

Secondary and tertiary roads may have lower design speeds than those advocated for thetrunk road network. However, driver expectations are an important consideration in theselection of an appropriate design speed. Where, even on these roads, traffic is likely to moveat relatively high speeds the higher design speeds should be selected.

The operating speed is the highest running speed at which a driver can travel on a given roadunder favourable weather and prevailing traffic conditions, without at any time exceeding thedesign speed. Implicit in this definition of operating speed is the idea that the design speed isalso the maximum safe speed that can be maintained on a given section of road when trafficconditions are so favourable that the design features of the road govern the driver's selectionof speed. One should not lose sight of the fact that a degree of arbitrariness attaches to theconcept of maximum safe speed. The absolute maximum speed at which an individual driveris safe depends as much on the driver's skill and reaction time, the quality and condition of thevehicle and its tyres, the weather conditions and the time of day, insofar as this affects visibility,as on the design features of the road.

1.5 Capacity and Level of Service

In the absence of a detailed inventory of traffic flow characteristics on southern African trunkroads, reference should be made to the document published by the American TransportationResearch Board, being TRB Special Report 209: Highway Capacity Manual.

The concept of Level of Service (LoS) is a qualitative measure describing operationalconditions within a traffic stream and their perception by drivers and/or passengers. A Levelof Service definition generally describes these conditions in terms of such factors as speed andtravel time, freedom to manoeuvre, traffic interruptions, comfort, convenience and safety. Sixlevels are defined for each type of facility ranging from LoS A, which is the highest level to LoSF which is the lowest and subject to instability and total breakdown of flow. The capacity of aroad is defined as the volume of traffic associated with Level of Service E. Level of Service B

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Speed (km/h)

420

760

1200

1800

50 60 70 80 90403020 100

ED

CB A

F

Stableflow

2800

Forcedflow

Unstable flow

is usually selected for design purposes. Tables 1.1 to 1.3 give some useful values forcapacities and service volumes from the 1994 edition of the Highway Capacity Manual.

LoS A represents free flow whereby individual road users are virtually unaffected by thepresence of others in the traffic stream. LoS B to D are described as representing stable flowbut with increasing influence by other road users in the traffic stream on the freedom tomanoeuvre. As stated above, LoS E is considered to represent capacity conditions taken inthe case of two-lane two-way roads as occurring in the region of 2 800 passenger cars per hourin both directions (ie 1 400 pcph in each direction). The sketch below (Figure 1.1) illustratesthat LoS is remarkably insensitive to speed. There is relatively change in the speeds applyingto the various levels of service although the flows vary quite dramatically. For this reason, theHighway Capacity Manual uses delay (which is directly correlated with flow levels) as theMeasure of Effectiveness of two-lane two-way roads.

Figure 1.1: Influence of speed on level of service

Table 1.1: Capacity of two-lane two-way roads (level terrain)

Directional split Total capacity*

50:5060:4070:3080:2090:10100:0

2 8002 6302 4902 3202 1001 990

*passenger cars per hour, both directions

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1.6 Classification of Rural Roads

Because of differences in legal and historical backgrounds and administrative requirements,there are differences between the classification systems adopted by the various authorities.

In spite of differences in nomenclature and application, all the classification systems arebroadly functional. The road network consists of a three-level hierarchy, with the highest leveldivided into two sub-groups. Each level is possibly subject to further subdivision to match localrequirements.

Table 1.2: Design factors for two-lane two-way roads

K Factor

Level of service

A B C D E

Flat terrain

0.100.110.120.130.140.15

2 4002 2002 0001 9001 7001 600

4 8004 4004 0003 7003 4003 200

7 9007 2006 6006 1005 7005 300

13 50012 20011 20010 400 9 600 9 000

22 90020 80019 00017 60016 30015 200

Rolling terrain

0.100.110.120.130.140.15

1 1001 000 900 900 800 700

2 8002 5002 3002 1002 0001 800

5 2004 7004 4004 0003 7003 500

8 0007 2006 6006 1005 7005 300

14 80013 50012 30011 40010 600 9 900

Mountainous terrain

0.100.110.120.130.140.15

500400400400300300

1 3001 2001 1001 000 900 900

2 4002 2002 0001 8001 7001 600

3 7003 4003 1202 9002 7002 500

8 1007 3006 7006 2005 8005 400

Flat terrain: Et = 2.0, no-passing zones 20%Rolling terrain: Et = 5.0, no-passing zones 40% Mountainous terrain: Et = 12.0, no-passing zones 60%All cases: A 60:40 directional split and 14% trucks in the traffic stream are assumed

K = Proportion of average daily traffic (ADT) in the design hour Et = Truck equivalency factor

1.6.1 Primary LevelThe primary level road is intended for main movement, i.e. relatively uninterrupted high-speedflow between origin and destination. This level comprises the:

• Principal Arterial System

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- The international and regional road network comprising the national road systemsof the various SADC countries.

- Linkage between provincial capitals, main centres of population and productioncentres.

• Minor Arterial System - Connection between local centres of population. - Linkage between districts, local centres of population and developed areas with

the principal arterial system.

A distinction is also drawn between freeways, expressways and undivided roads because ofthe different levels of access control brought to bear on them. The trunk road networkaddressed by this document is considered to be a principal arterial system.

Table 1.3: Design factors for four-lane freeways

K Factor Level of service

A B C D E

Flat terrain

0.100.110.120.130.140.15

20 50018 70017 10015 70014 70013 700

35 800 31 80029 20026 90025 00023 300

50 10045 50041 70038 50035 70033 400

50 10052 90048 50044 70041 60038 800

58 30054 80050 20046 40043 10040 200

Rolling terrain

0.100.110.120.130.140.15

15 70014 20013 00012 00011 20010 400

26 70024 20022 20020 50019 10017 700

38 200 34 700 31 800 29 300 27 200 25 400

44 40040 30037 00034 20031 70029 600

46 00041 80038 30035 30032 80030 700

Mountainous terrain

0.100.110.120.130.140.15

11 10010 100 9 200 8 500 7 900 7 300

18 80017 20015 70014 50013 50012 600

27 00024 60022 50020 70019 20018 000

31 40028 50026 20024 20022 40020 900

32 50029 60027 10025 00023 20021 700

Flat terrain: Et = 1.7Rolling terrain: Et = 4.0Mountainous terrain: Et = 8.0All cases: A 60:40 directional split and 15% trucks are assumed.

K = Proportion of ADT in design hour Et = Truck equivalency factor

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1.6.2 Secondary LevelIn order to draw a distinction between the trunk road network and the other roads forming partof the national networks of the various member countries, the lower levels of the functionalhierarchy of roads are described below.

The secondary level road has a collector-distributor function, linking locally important trafficgenerators with their rural hinterland and providing service to the smaller communities. Theseroads provide some degree of mobility and also serve abutting properties. An intermediatedesign speed and level of service is required.

While primary routes have towns as their destinations, secondary roads invariably connectlocal areas to the primary network. While a secondary road may connect a local area directlyto the nearest town, it is more likely to have one of its terminals on a primary road. The otherterminal might be on another primary or secondary road or even at the intersection of two ormore tertiary roads. Travel speeds on the secondary road network are generally not as highas those on primary roads.

Traffic volumes very often do not warrant the surfacing of secondary roads, which are thereforedivided into the two categories of unsurfaced and surfaced secondary roads.

1.6.3 Tertiary Level Tertiary roads are intended to provide access to properties, i.e. they link them to the higher-order routes in the hierarchy. It follows that traffic volumes and speeds on these roads tendto be low, so that tertiary roads are rarely surfaced. Properties are also linked directly tosecondary and primary routes, but the control of access to a route is more stringently appliedas the importance of the route in the hierarchy increases. In the case of a long-distanceinterregional freeway, direct access is prohibited, whereas on an inter-regional route accessmay perhaps be restricted to one access per property, with virtually no restriction on accessto a secondary road, except as dictated by road geometry.

1.7 Design Approach

The functional classification of the various elements of a road system does not automaticallylead to the selection of a design speed and cross-section for a specific link in that network,although it is an aid in the evaluation process. A short intra-regional primary road may berequired to serve such high volumes of traffic that a freeway is warranted, whereas a long-distance route connecting several regions may traverse a sparsely populated area of thecountry and carry traffic volumes that barely justify surfacing. In level terrain any route,regardless of its position in the general hierarchy, could be designed to a high design speedwhile, in rugged terrain, the design speed of the most important link in the network would beforced down.

In general, higher-order routes tend to have higher design speeds and serve greater volumesof traffic, and hence require cross-sections with greater lane and shoulder widths, perhapsincorporating medians.

Provided that land-use patterns do not change, annual traffic growth on the lower-order routes,in terms of vehicle numbers, is likely to be low. On longer-distance primary routes, urbangrowth will influence traffic growth on the links between urban areas, causing the growth rate

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to be higher on these routes. The selection of an appropriate growth factor is based on theposition a road occupies in the hierarchy. Furthermore, the seasonal, weekly, daily or hourlyfluctuation in traffic volumes on a given route varies with the function of the route. Functionalclassification of the road network is therefore useful as a guide in the selection of appropriatedesign parameters.

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Code of practice for geometric design Basic criteria

2. BASIC CRITERIA

2.1 Introduction

This chapter discusses the parameters from which the guidelines quoted in this document arederived. Knowledge of the design vehicle, its dimensions and performance characteristics, isnecessary before climbing lanes, maximum permissible grades, intersection layout and turningroadway radii and widths can be decided on. The driver's eye height above the road surfaceand his or her reaction time in conjunction with the coefficient of longitudinal friction are usedto derive stopping and other sight distances. The side force coefficient, otherwise known asthe transverse coefficient of friction, and the maximum super-elevation dictate the minimumradius of curvature for any given design speed. With stopping sight distances known, rates ofvertical curvature can be derived.

The derivation of the recommended values is given so that the designer dealing with someother design vehicle or circumstance will be in a position to calculate appropriate values.

2.2 The Design Vehicle

2.2.1 Dimensions The dimensions offered below were determined in respect of the South African vehiclepopulation. It is believed that these dimensions are representative of vehicles generally foundin the SADC member countries. Where dimensions are not available, the dimensions of theAmerican design vehicle have been adopted. Two vehicles are recommended for use in thedesign of rural roads. The passenger car should be used for speed-related standards and thesingle unit truck for standards relating to manoeuvrability, typically at intersections.

The dimensions adopted for the various design vehicles are given in Table 2.1.

Table 2.1: Dimensions of design vehicles (m)

Vehicle Wheel base Front overhang Rear overhang Width

Passenger car (P) 3.1 0.7 1.0 1.8

Single unit (SU) 6.1 1.2 1.8 2.5

Single unit +trailer (SU+T)

6.7+3.4*+6.1 1.2 1.8 2.5

Single unit bus(BUS)

7.6 2.1 2.6 2.6

Semi-trailer (WB-15)

6.1+9.4 0.9 0.6 2.5

* Distance between SU rear wheels and trailer front wheels

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The values quoted in the table above are 95 percentile values. Because of its application inthe determination of passing sight distance, the fifth percentile value of height is selected. Theheight of passenger cars is thus taken as 1.3 m. A height of 2.6 m is adopted for all othervehicles.

2.2.2 Templates The use of templates is recommended for establishing the layout of intersections and medianopenings. Once roadway edges have been established, it is recommended that they should,for ease of construction, be approximated by simple or compound curves.

Figures 2.1 and 2.2 give dimensions for the construction of templates for rigid chassis vehiclesand articulated vehicles respectively.

For the purposes of construction of these templates it is assumed that the outside front wheelfollows either a straight or a circular path, ie there is no allowance for a transition. The innerrearmost wheel follows a parabolic path from a point one wheelbase length before the startof the circular curve to a point two wheelbase lengths beyond it, whereafter its path is also atrue circular curve. This circular curve terminates one wheelbase length before the end of thecircular curve described by the outside front wheel with the track width returning to its originalvalue at a point two wheelbase lengths beyond the end of the circular curve.

2.2.3 Minimum Turning Radius In constricted situations where the templates are not appropriate, the capabilities of the designvehicle become critical. Minimum turning radii for the outer side of the vehicle are given inTable 2.2. It is stressed that these radii are appropriate only to crawl speeds.

Table 2.2: Minimum turning radii

Vehicle Radius (m)

Passenger Car (P)Single unit truck (SU)Bus (B)Articulated vehicle (ARCTIC)

6.810.011.511.0

2.2.4 Performance on GradeTruck speeds on various grades have been the subject of much study under southern Africanconditions, and it has been found that performance is not significantly affected by height abovesea-level. Performance can therefore be represented by a single family of curves calculatedon the basis of the 95 percentile mass/power ratio of 275 kg/kW and as shown in Figure 2.3.

2.3 The Driver

2.3.1 Eye Height Research has indicated that 95 per cent of passenger car drivers have an eye height at orabove 1.05 m, and 95 per cent of truck drivers an eye height of 1.8 m or more. These valueshave accordingly been adopted for use in these guidelines.

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Figure 2.1: Wheeltracks for rigid chassis vehicles

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Figure 2.2: Wheeltracks for articulated vehicles

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Figure 2.3: Truck speeds on grades

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2.3.2 Reaction Time A figure of 2.5 seconds has been generally adopted for reaction time for response to a singlestimulus, typically where the response is to stop. American practice also makes provision fora reaction time of 5.7 to 10.0 seconds for more complex multiple-choice situations, where morethan one external circumstance must be evaluated and the most appropriate response selectedand initiated. This usually occurs at interchanges or complex intersections

2.4 The Road Surface

The road surface has numerous qualities which can affect the driver's perception of thesituation ahead of him, but skid resistance is the only one of these qualities taken into accountin these guidelines.

Skid resistance has been the subject of research worldwide, and it has been established locallythat the derived values of brake force coefficient are appropriate to the southern Africanenvironment. A limiting value of 0.4 is appropriate to gravel surface for all speeds whereas thelimiting value for bituminous surfaces can be as high as 0.7. On surfaced roads, there is aconsiderable range of values. At 50 km/h the skid resistance of a worn tyre on a smoothsurface is half that of a new tyre on a rough surface, and at 100 km/h it is five times lower. Skid resistance also decreases as speed increases.

The values adopted for design in these guidelines are conservative, and the speed used in thecalculation of guideline values is the operating speed, generally 80 to 85 per cent of designspeed.

Brake force coefficients are given in Table 2.3. No allowance is made for a safety factor, asthese represent actually measured values for a worn tyre on a smooth wet surface, which inengineering terms constitutes a 'worst case'. Furthermore, the coefficient of friction is lowerin sliding than in rolling, so that, as long as the driver is not involved in an emergency situation,he has adequate distance for a comfortable stop under normal conditions.

Table 2.3: Brake force coefficients

Speed (km/h) Coefficients

406080100120

0.370.320.300.290.28

2.5 Sight Distance

Sight distance is a fundamental criterion in the design of any road, be it urban or rural. It isessential for the driver to be able to perceive hazards on the road and to have sufficient timein hand to initiate any necessary evasive action safely. On a two-lane two-way road it is alsonecessary for him or her to be able to enter the opposing lane safely while overtaking. In

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intersection design, the application of sight distance is slightly different from its application indesign for the open road but safety is always the chief consideration.

2.5.1 Stopping Sight Distance (SSD)Stopping distance involves the capability of the driver to bring the vehicle safely to a standstill ,and is thus based on speed, driver reaction time and skid resistance. The total distancetravelled in bringing the vehicle to a stop comprises two components:

• The distance covered during the driver's reaction period. • The distance required to decelerate to zero km/h.

The stopping distance is expressed as:

s = 0.694 v + v2/254 f

where s = total distance travelled (m) v = speed (km/h)

f = brake force coefficient

Stopping sight distances based on operating speeds and the appropriate brake forcecoefficients have been adopted for design, and are given in Table 2.4.

Table 2.4: Stopping sight distance on level roads

Design speed(km/h)

Stopping sight distance(m)

405060708090100110120130140

50 658095115135155180210230255

Stopping sight distance is measured from an eye height of 1.05 m to an object height of0.15 m. This object height is used because an obstacle of a lower height would not normallyrepresent a significant hazard. Object height is taken into account also because measuring thesight distance to the road surface would substantially increase the length of the vertical curveand hence the earthworks required.

The gradient has a marked effect on the stopping distance requirements. Figure 2.4 is anexpansion of Table 2.4 which demonstrates this effect.

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Figure 2.4: Stopping sight distance on grades

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Stopping sight distance can also be affected by a visual obstruction (such as a cut slope) nextto the lane on the inside of a horizontal curve, as shown in Figure 2.5.

2.5.2 Barrier Sight Distance (BSD)Barrier sight distance is the limit below which overtaking is legally prohibited. Two opposingvehicles travelling in the same lane should be able to come to a standstill before impact. Alogical basis for the determination of the barrier sight distance is therefore that it should equaltwice the stopping distance plus a further distance of 10 m to allow an additional safety margin.The values given in Table 2.5 reflect this approach.

Table 2.5: Barrier sight distance

Design speed(km/h)

Barrier sight distance(m)

406080100120

110170240320430

Barrier sight distance is measured to an object height of 1.3 m, with eye height remainingunaltered at 1.05 m. The greater object height is realistic because it represents the height ofa low approaching vehicle.

Hidden dip alignments are commonly accepted as poor design practice, but are still found onmany rural roads. They typically mislead drivers into believing that there is more sight distanceavailable than actually exists. In checking the alignment in terms of barrier sight distance, thedesigner must pay detailed attention to areas where this form of alignment occurs, to ensurethat drivers are made aware of any inadequacies of design.

2.5.3 Decision Sight Distance (DSD)The best visual cue to the driver is the roadway ahead. For this reason it is necessary incertain circumstances for the road surface itself to be visible to the driver for a given distanceahead, to allow sufficient time for the assimilation of a message and the safe initiation of anyaction required. An example is the gore markings at the nose of an off-ramp. A furtherexample is the marking allocating specific lanes at an intersection for turning, where warningof this must be given sufficiently far in advance of the intersection to permit a lane change thatdoes not detrimentally affect the operation of the intersection itself.

Decision sight distance, as given in Table 2.6, is related to the reaction time involved in acomplex driving task. The reaction time selected for this purpose is 7.5 seconds, which isroughly the mean of values quoted in American practice. The calculated value in Table 2.6 isthus based on stopping sight distance to allow for the condition where the decision is to bringthe vehicle to rest. This has the effect of increasing the normal reaction time of 2.5 secondsby a further five seconds of travel at the operating speed of the road. Decision sight distanceis measured from an eye height of 1.05 m to the road surface, i.e. to an object height of zerometres.

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Figure 2.5: Minimum horizontal radius for stopping sight distance

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Table 2.6: Decision sight distance on level roads

Design speed(km/h)

Decision sight distance(m)

406080100120

130190240300350

2.5.4 Passing Sight Distance (PSD)Passing sight distance is seen as an important criterion indicative of the quality of serviceprovided by the road. The initial road design is required to provide stopping sight distance overthe full length of the road, with passing sight distance being checked afterwards. A heavilytrafficked road requires a higher percentage of passing sight distance than a lightly traffickedroad to provide the same level of service. Insufficient passing sight distance can be remedied,for example, either by lengthening a vertical curve to provide passing sight distance within thelength of the curve itself, or by shortening the curve to extend the passing opportunities oneither side of the curve, depending on the prevailing circumstances. Horizontal curves cansimilarly be lengthened or shortened.

Passing sight distance can be calculated on one of two bases, being either the sight distancerequired for a successful overtaking manoeuvre or that required for an aborted manouevre.The former could be described as being a desirable standard and the latter as the minimum.Passing sight distance in respect of a successful manouevre makes adequate provision for anaborted manouevre in the case of a truck attempting to pass another truck.

Table 2.7: Passing sight distance on level roads

Design speed(km/h)

Passing sight distance (m)

Successful manoeuvre Aborted manoeuvre

406080100120

290410540670800

-226312395471

2.5.5 Intersection Sight Distance (ISD)At a stop-controlled intersection, the driver of a stationary vehicle must be able to see enoughof the major highway to be able to carry out one of three operations before an approachingvehicle reaches the intersection, even if this vehicle comes into view just as the stopped vehiclestarts to move. These three operations are to:

• Turn to the left in advance of a vehicle approaching from the right.

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• Turn to the right, crossing the path of a vehicle approaching from the right and inadvance of a vehicle approaching from the left.

• To move across the major highway in advance of a vehicle approaching from the left.

In the first case, the assumptions are that the turning vehicle will accelerate to operating speedof the major highway and that the approaching vehicle on the major highway will deceleratefrom the design speed also to operating speed leaving a two second headway between themat the end of the manouevre. According to AASHTO, the intersection sight distance requiredis about 1.0 m less than that required for the right turn, given the same assumptions as madein the first case.

In the last mentioned case, the distance the crossing vehicle must travel is the sum of thedistance from the stop line to the edge of the through carriageway, the width of the road beingcrossed and the length of the crossing vehicle. This manoeuvre must be completed in the timeit takes the approaching vehicle to reach the intersection, assuming that the approachingvehicle is travelling at the design speed of the through road. For safety, the time availableshould also include allowance for the time it takes for the crossing driver to establish that it issafe to cross, engage gear and set his vehicle in motion; a period of about two seconds isnormally used.

The line of sight is taken from a point on the centre line of the crossing road and 5.0 m backfrom the edge of the through road to a point on the centre line of the through road, as shownin Figures 2.6 and 2.7.

The object height is 1.3 m. The eye height is 1.05 m for a passenger car and 1.8 m for all otherdesign vehicles. There must be no obstruction to the view in the sight triangle which is definedas the area enclosed by the sight line and the centre lines of the intersecting roads.

Intersection sight distances, recommended in accordance with the principles outlined above,are also given in Figures 2.6 and 2.7. Before a lower value is adopted in a specific case, theimplications of deviating from the recommended values should be studied.

Where an intersection is subject to yield control, the unobstructed sight triangle must be larger.It is assumed that the driver approaching the intersection on the minor leg will be travelling at60 km/h and preparing to stop, in which case a distance of 45 m is required for him to bringhis vehicle to a standstill. If he does not stop, but turns to travel in the same direction as avehicle approaching at the design speed of the through road, the driver of the latter vehicle willbe forced to slow down to match speeds at a safe following distance. The intersection sightdistance required for this manoeuvre is shown in Figure 2.8.

Because the driver approaching the yield sign may be required to stop, intersection sightdistance as defined and measured for the stop condition must also be available.

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Figure 2.6: Intersection sight distance for crossing manoeuvre (Stop condition)

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Figure 2.7: Intersection sight distance for turning manoeuvre (Stop condition)

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Figure 2.8: Intersection sight distance for crossing and turning manouevre (Yield Condition)

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3. HORIZONTAL ALIGNMENT

3.1 Introduction

The ease, comfort and safety of operation of a vehicle on a road are determined by consistencyof design, among other things. This consistency is achieved partly by relating the magnitudeof successive elements of horizontal and vertical alignment to a speed. Although theseelements are subject to the laws of mechanics, it has been found in practice that the distributionof speed across the vehicle population and the variations in vehicle characteristics sometimesmake it necessary to depart from theoretically calculated values. It has also been found thatvarious combinations of elements are aesthetically unpleasing, so that the appearance of theroad spoils the general environment.

This chapter details radii of horizontal curvature appropriate to various design speeds,discusses super-elevation and makes suggestions on the aesthetic influence of variations inhorizontal alignment.

3.2 Tangents

The two points of concern regarding the tangent (often referred to also as the straight) are itslength and its bearing.

3.2.1 Length of TangentsA tangent that is too long is monotonous and correspondingly likely to introduce boredom andreduce safety. A tangent that is too short, on the other hand, will not allow sufficient distancein which to introduce the super-elevation required for the next curve. Furthermore, whentangents are very short, ie curves follow each other in quick succession, safety is also reduced. American studies have shown that when the distance between successive curves is such thatsuper-elevation development is represented by a continuous rollover from one side of the roadto the other, the accident rate is high. When the distance from the end of one curve to thecommencement of the next curve is of the order of 20 km the accident rate is at about thesame value as for continuous curvature. In between these two values the collision ratedeclines and then increases in a nearly symmetrical parabolic fashion with its minimum valuebeing at a tangent length of about 12 km. It is recommended that this should be considereda desirable length of tangent in the case where vehicles tend to travel at unaltered speed alongtangents and around curves, ie for a design speed of the order of 120 km/h.

At lower design speeds, a tangent of this length would cause speeds to creep up to about120 km/h or even higher and the driver would have to reduce speed to negotiate the followingcurve thereafter accelerating again. Ideally, drivers should be encouraged to maintain a speedwhich is close to that selected for design purposes to reduce the possibility of an error ofjudgment leading to an accident. It has been found that, under these circumstances, amaximum tangent length which, when measured in metres, is 20 times the design speed inkm/h, achieves this effect. For example, a design speed of 80 km/h would suggest thattangents should not be longer than about 1.6 km.

Where the topography is flat, a long tangent is a significant problem in night driving. A driveris very aware of approaching lights for as much as two minutes before the vehicles actually

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pass each other and, in the second of the two minutes, reference can be made to dazzle whichbecomes increasingly severe. Two vehicles approaching each other, when they are bothtravelling at say 120 km/h, are as much as 8.0 km apart at the commencement of the twominute period referred to and are still 4.0 km apart at the onset of dazzle. During the last fifteenseconds, at the commencement of which the two vehicles are still a kilometre apart, the driverscan only really guide their vehicles by concentrating on their left road edge at a point which willnot be much more than about 50 m in advance of their present position. Seeing that, at120 km/h, a vehicle requires a stopping distance of 210 m, this is a potentially hazardoussituation.

Where large volumes of nighttime traffic are expected, it may be necessary to consider tangentlengths shorter than the 12 km proposed above. In extreme cases, it may even be necessaryto consider including a median in the cross-section and planting shrubs in it or providing someother means of reducing dazzle. Because light from headlights hit it at a very flat angle, aconventional fence is remarkably effective in reducing glare.

The minimum length of tangent must allow for the run-off of the super-elevation of thepreceding curve followed by the development of that for the following curve. This distanceshould actually be calculated during detailed design but, as a rough rule of thumb, a tangentlength of less than 200 m is likely to prove inadequate.

3.2.2 Bearing of TangentsA tangent with a bearing that is east-west will present the driver with a major problem of dazzleat sunrise and sunset. Avoiding this problem can tax the skill of the designer but an attempthas to be made to limit the distance over which the driver is effectively blinded.

Various combinations of bearing and gradient can cause the same situation to arise at differenttimes of the day and the year. A bearing that is due north supposedly has the least possibilityof creating problems of glare. However, during the winter months, a steep upgrade can createa problem for the driver. A six per cent gradient and a bearing of 5° north of west will have thesun more or less resting on the centreline of the road at about four o’clock in the afternoon.

While the other constraints on the horizontal and vertical alignment are such that there isrelatively little that the designer can do to eliminate the problem of glare, it is recommendedthat the design should be evaluated, potential trouble spots identified and an attempt made tominimise the problem by varying either the bearing or gradient of the road where necessaryand where possible.

3.3 Curvature

Attempts have been made from time to time to introduce various forms of curvilinear alignment.These have included a process of fitting curves into the topography and then connecting themwith relatively short tangent sections. It has also been suggested that circular curves could bereplaced by higher order polynomials. For the purposes of these guidelines it is assumedthat, in the process of route location, the location of a series of tangents is done first, followedby the selection of curvature.

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3.3.1 Minimum Radii The minimum radius is a limiting value for a given design speed, and is determined from themaximum rate of super-elevation and the maximum allowable side friction factor (seeSubsection 3.5). Minimum radii for the various design speeds and maximum super-elevationup to 10 per cent are given in Table 3.1. In general, these radii should be used only under themost critical conditions. The deviation angle of each curve should be as small as the physicalconditions permit, so that the road is as directional as possible. This deviation should beabsorbed in the flattest possible curve so that passing opportunities will not be undulyrestricted. It should be borne in mind however, that excessively long curves may generateoperational problems as discussed below.

Table 3.1: Minimum radii of horizontal curvature

Design speed(km/h)

Radius (m) for maximum super-elevation of

6 % 8 % 10 %

5060708090100110120

90140190250330420530650

85125175230300380475580

80110160210270350430530

3.3.2 Minimum Length of Curve For small deflection angles, curves should be long enough to avoid the appearance of a kink.A minimum length of 300 m is suggested. If space is limited, this length may be reduced to150 m. For deflection angles of less than 5°, the minimum length of the curve should beincreased from 150 m by 30 m for each 1° decrease in the deflection angle.

3.3.3 Maximum Length of CurveA long curve, particularly if it is of near-minimum radius, may cause tracking problems. Theseare experienced principally by vehicles travelling at speeds markedly different from the designspeed of the road.

The chief complication introduced by a long curve, however, is its possible effect on passingopportunities. It should be noted that on a two-lane road the principal obstruction to sightdistance is, in fact, the vehicle to be overtaken. On a left-hand curve, the overtakingmanoeuvre would thus have to commence at a considerable distance behind the leadingvehicle. Furthermore the distance to be traversed during the overtaking manoeuvre on a left-hand curve (an outside path) is greater than that on a right-hand (an inside path), apart fromthe need for earlier commencement of the overtaking manoeuvre. On a right-hand curve, sightdistance is less of a problem than on a tangent section. Apart from having the road in viewwithout having to move out from behind the leading vehicle, the presence of super-elevationfavours an increase in available sight distance.

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Consequently, the length of a curve should not exceed 1 000 m, the preferred maximum lengthbeing 800 m. This length applies also to multilane cross-section because, while passingopportunities no longer pose a problem, tracking still remains an issue.

3.4 Successive Curves

The process of locating a road as a series of tangents tends to cause curves to be relativelyfar from each other, so that each curve is an independent feature. As the topography becomesmore rugged, the intervals between curves shorten, until the stage is reached when successivecurves can no longer be dealt with in isolation. Three cases must be considered. These are:

• The curve followed by a curve in the opposite direction (reverse curve) • The curve followed by a curve in the same direction (broken-back or flat-back) • The compound curve which, like the broken- back curve, consists of successive curves

in the same direction, but does not have an intervening tangent.

3.4.1 Reverse CurvesAny abrupt reversal in alignment should be avoided. Such a change makes it difficult for thedriver to keep within his own lane. It is also difficult to super-elevate both curves adequatelyand erratic operation may result. A reversal of alignment should therefore include a length ofconnecting tangent or, preferably, a section of equal length including spiral curves. Thedistance between circular curves is dictated by the requirements of super-elevationdevelopment. Figure 3.1 shows a treatment of reverse curvature which is not only aestheticallypleasing, but also has the advantage that the connecting tangent can be made shorter thandictated by the inclusion of a cambered section.

3.4.2 Broken-back CurvesBroken-back curves are generally considered undesirable, since drivers do not expectsuccessive curves to be in the same direction. The preponderance of successive curves inopposite directions has developed in drivers a subconscious habit of following them.

Operational problems introduced by an unexpected camber between the curves, or drainageproblems caused by flat spots on the road surface, are further undesirable aspects of broken-back curves, apart from their unpleasing appearance.

Broken-back curves cannot always be avoided and it is suggested that the connecting tangentshould be at least 150 m long. It is also suggested that the tangent should have a singlecrossfall, rather than reverting to a normal camber for a short distance. This treatment of abroken-back curve is illustrated in Figure 3.2.

The term 'broken-back' is not usually employed when the connecting tangent is 500 m or morein length.

3.4.3 Compound CurvesThe use of compound curves affords flexibility in fitting the road to the terrain and othercontrols, and the simplicity with which such curves can be used may tempt the designer to usethem without restraint. Caution should, however, be exercised in the use of compound curves,because, with the possible exception of the interchange loop, the driver does not expect to be

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confronted by a change in radius once he has entered a curve. Their use should also beavoided where curves are sharp.

Figure 3.1: Super-elevation of reverse curves

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Compound curves with large differences in curvature introduce the same problems as thosefound at the transition from a tangent to a small-radius curve. Where the use of compoundcurves cannot be avoided, the radius of the flatter circular arc should not be more than 50 percent greater than that of the sharper arc, i.e. R1 should not exceed 1.5 R2. A several-stepcompound arc on this basis is suitable as a form of transition from either a flat curve or atangent to a sharper curve, although a spiral is to be preferred.

3.5 Transition Curves

Any vehicle follows a transitional path as it enters or leaves a circular horizontal curve. In mostcases, this path is contained within the limits of normal lane width. With combinations of highspeeds and sharp curvature, however, the resultant longer transitions may encroach on anadjoining lane. It has also been found that drivers sometimes enter the curve beforecommencing their change of direction. In consequence, the circular path ultimately followedhas a lesser radius than that provided, apart from the fact that the vehicle in the lane on theinside of the curve has a lesser radius than that on the centreline of the road. If the latter radiusis already at a minimum, the consequences could be unfortunate. The principal advantage,therefore, of a transition curve is that it gives the driver a natural path that is easy to follow and,at the same time, provides a suitable arrangement for super-elevation run-off. The appearanceof the road is also enhanced by the use of spirals, since this avoids noticeable breaks at thebeginning of circular curves, these breaks often being made more pronounced by the super-elevation run-off.

Transition curves are recommended for use where the associated circular arc is to have asuper-elevation of 60 per cent or more of the maximum. The form recommended is theclothoid, and the length of the transition is equal to the length required for the development ofsuper-elevation from the point where a crossfall equal to normal camber has been achieved,i.e. from reverse camber (RC).

The equation of the clothoid is :

L = 0.0702V3/(R .C)

where L = Length of the clothoidV = Speed (km/h)R = Radius at the end of the clothoidC = Rate of increase in centripetal acceleration (m/s3)

C can vary from 1.0 m/s3 to 3.0 m/s3, the lower value representing the maximum length of thetransition curve and the higher value the minimum length. The range of lengths of transitioncurves is illustrated in Figure 3.3.

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Figure 3.2: Super-elevation of broken-back curves

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3.6 Super-elevation

A vehicle following a circular path is forced outwards by centrifugal force. This force iscounterbalanced by the vehicle weight component caused by super-elevation, e, or the sidefriction, f, developed between the tyre and the road surface or a combination of the two. Thiscombination is given in the expression:

e + f = V2/127 R

where V = Speed (km/h)R = Radius (m)

From the maximum rate of super-elevation and side friction, the minimum radius of curvaturefor given speed can be determined. Minimum radii calculated on this basis and rounded offfor design purposes are given in Table 3.1 for a maximum rate of super-elevation of 10 percent and side friction factors as discussed below.

3.6.1 Maximum Rates of Super-elevation and Side Friction FactorsThe maximum rate of super-elevation recommended for the design of rural roads is 10 percent. Gravelled surfaces would, however, scour at this rate of super-elevation and a lowervalue should be applied to these surfaces.

The maximum side friction factor accepted for design purposes is expressed as:

f max = 0.19 - V/1600

where V = Speed (km/h)

representing a safety factor of approximately three.

3.6.2 Design Super-elevation Rates AASHTO recognises five methods of distributing super-elevation, e, and side friction factor, f.The method recommended for southern Africa is based on using super-elevation to balanceall the centrifugal force generated at the average running speed, with side friction balancingadditional centrifugal forces generated at higher speeds. Figures 3.4 to 3.6 shows rates ofsuper-elevation appropriate to above-minimum radii of curvature for the various design speedsand maximum rates of super-elevation.

3.6.3 Run-off Super-elevation run-off is the term generally used to denote the length of road needed toaccomplish the change in cross-slope from a fully superelevated section to a section with theadverse camber removed. Crown run-off, also referred to as tangent runout, refers to thedistance from this section to a normally cambered section. In current design practice, theappearance of the super-elevation run-off largely governs its length. A too-rapid rotation givesthe road surface a warped appearance and breaks the smooth three-dimensional flow of theroad edge, which is probably the most notable feature of the road to the driver.

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Figure 3.3: Lengths of transition curves

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Rate of Rotation

The rate of rotation is measured by the relative slope between the edge of the carriageway andthe axis of rotation. The slope factors quoted in Table 3.2 have been found in practice to giveacceptable lengths of run-off.

Table 3.2: Relative slope factor

Design speed(km/h)

Relative Slope Factor(%)

406080100120

0.70.60.50.40.3

Calculation of Run-off LengthThe run-off length is calculated from the difference in height between the fully superelevatedcarriageway edge and the axis of rotation, divided by the relative slope between them. Thecalculated length of run-off is thus:

L = ewl/s

where L = Length of super-elevation run-off(m)w = Lane width(m)e = Super-elevation (%)s = Relative slope factor (%) l = Lane factor

Crown run-off is calculated in the same way, with the super-elevation replaced by the normalcamber, usually two per cent.

Minimum Run-off LengthMinimum lengths for super-elevation run-off are given in Table 3.3 for two-lane roads. Theseare based on relative slopes that are 50 per cent higher than the values given in Table 3.2.While no maximum lengths are suggested, too long a run-off might cause drainage problemsat the commencement of the run-off section.

Table 3.3: Minimum length of super-elevation run-off for two-lane roads

Design speed Run-off (m)

406080100120

3035405070

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Figure 3.4: Super-elevation rates for above-minimum radii of curvature and emax = 6 %

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Figure 3.5: Super-elevation rates for above-minimum radii of curvature and emax = 8 %

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Figure 3.6: Super-elevation rates for above minimum radii of curvature and emax = 10 %

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The length of run-off for surfaces wider than one lane is subject to the same considerations asthose applying to a two-lane road rotated about its centre line. On this basis, the length of run-off for a four-lane road would be twice that for two-lane roads, and for six- lane roads the lengthof run-off would be three times as long. Often, however, it is not feasible to provide lengthsbased on such direct ratios, although it is generally agreed that super-elevation run-off lengthsshould be greater for roads wider than two lanes. On a purely empirical basis it is concludedthat minimum design super-elevation lengths for wider pavements should be calculated by useof the lane factors given in Table 3.4.

Table 3.4: Lane factors for super-elevation run-off

Cross-section No of lanes Median width (m) Lane Factor

Undivided 234

---

1.01.21.5

Divided

23

Less than 4.6 1.52.0

23

Between 4.6and 12.2

1.0 or 1.51.2 or 2.0

23

Greater than12.2

1.01.5

In the case of a divided road, if the median is narrower that 4.6 m, it is disregarded in selectionof the lane factor. If the median is wider than 12.2 m, the two carriageways are regarded asseparate entities. For intermediate widths of median either the higher or the lower lane factormay be selected.

Location Relative to CurveWhere a circular arc is preceded by a transition curve, the full super-elevation will be achievedat the start of the circular arc. As stated previously, the length of the transition should besufficient to contain the super-elevation run-off from the point at which the road reaches acrossfall equal to the normal camber. The rest of the super-elevation run-off and the crownrun-off occurs on the tangent preceding the transition curve. Where no transition curve hasbeen provided the super-elevation development must be distributed between the tangent andthe curve, because full super-elevation at the end of a tangent is as undesirable as no super-elevation at the start of a curve. The compromise generally employed is to have two-thirds ofthe super-elevation run-off on the tangent, and one- third on the curve. The path of the vehicle,even if there is no transition curve, will be a spiral commencing before the start of the curve andending some distance beyond it; this compromise to some extent matches the actual path ofthe vehicle.

The attainment of super-elevation is illustrated in Figures 3.7 and 3.8.

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Figure 3.7: Attainment of super-elevation without a transition curve

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Figure 3.8: Attainment of super-elevation with use of a transition curve

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3.7 Curve Widening

Roadway widths are sometimes increased on curves to make operating conditions on thesecurves comparable with those on tangents. Widening is needed for the following reasons:

• Vehicles, particularly articulated vehicles, occupy a greater width on curves because therear wheels track inside the front wheels.

• Drivers experience difficulty in maintaining their position in the centre of their lane whilenegotiating a curve.

The off-tracking of the rear wheels of the vehicle can be calculated from simple geometricrelationships. However, when the curve is superelevated and the speed at which the curve isbeing negotiated is substantially less than that for which the super-elevation was designed, off-tracking can assume greater values than those calculated. This is because of the slip angleassumed by the tyres relative to the direction of travel as a result of the side friction developedbetween the tyres and the pavement.

From a constructional point of view, curve widening is a nuisance and is correspondinglyexpensive. Furthermore, very little is gained from small amounts of widening. A minimumwidening of 0.6 m is recommended. Where calculation suggests values lower than this, theselower values should be disregarded.

It is important to note that the widening applies to the total width of the carriageway and not tothe individual lanes.

The curves shown in Figure 3.9 are derived from AASHTO. These curves show the total widthof travelled way required for the various radii of curvature and design speeds. The wideningto be applied is the difference between these widths and the travelled way width on a tangent.

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Figure 3.9: Curve widening

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4. VERTICAL ALIGNMENT

4.1 Introduction

Vertical alignment is the combination of parabolic vertical curves and tangent sections of aparticular slope. The selection of rates of grade and lengths of vertical curves is based onassumptions about characteristics of the driver, the vehicle and the roadway. Vertical curvaturemay impose limitations on sight distance, particularly when combined with horizontal curvature.The slope of tangent sections introduces forces which affect vehicle speed, driver comfort andthe ability to accelerate and decelerate.

With the whole-life economy of the road in mind, vertical alignment should always be designedto as high a standard as is consistent with the topography.

The vertical alignment should also be designed to be aesthetically pleasing. In this regard duerecognition should be given to the inter-relationship between horizontal and vertical curvature.As a general guide, a vertical curve that coincides with a horizontal curve should, if possible,be contained within the horizontal curve, and should ideally have approximately the samelength. Where a vertical curve falls within a horizontal curve, the super-elevation generatedby the horizontal curvature improves the availability of sight distance beyond that suggestedby the value of vertical curvature. This allows edge profiles having a curvature sharper thanthe minimum suggested below. The proviso, however is that the driver's line of sight becontained within the width of the roadway. When the line of sight goes beyond the edge of theroadway, the effect on sight distance of lateral obstructions such as cut faces or high vegetationmust be checked.

A smooth grade line with gradual changes appropriate to the class of road and the characterof the topography is preferable to an alignment with numerous short lengths of grade andvertical curves. The 'roller coaster' or 'hidden dip' type of profile should be avoided. Thisprofile is particularly misleading in terms of availability of sight distance and, where it cannotbe avoided, sight distance greater than that suggested in Table 2.4 may be required in termsof accident experience. A broken- back alignment is not desirable on aesthetic grounds in sagswhere a full view of the profile is possible. On crests the broken back adversely affects passingopportunity.

4.2 Curvature

The horizontal circular curve provides a constant rate of change of bearing. Analogous to thisis the vertical parabola which provides a constant rate of change of gradient. Academicniceties apart, there is little to choose between the application of the parabola or the circularcurve, the differences between them being virtually unplottable and, in any event, within thelevels of accuracy to which the pavement typically is constructed.

From the general form of a parabolic function,

y = ax2 + bx + c

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it follows that the rate of change of grade, d2y/dx2, equals 2a. The reciprocal of 2a, K, is thusthe distance required to effect a unit change of grade. Vertical curves are specified in termsof this factor, K, and their horizontal length calculated by multiplying K by the algebraicdifference, A, in percentage between the gradients on either side of the curves so that

L = A.K

4.2.1 Minimum Rates of Curvature The minimum rate of curvature is determined by sight distance as well as by considerations ofcomfort of operation and aesthetics. The sight distance most frequently employed is thestopping sight distance measured from an eye height of 1.05 m to an object height of 0.15 m,although special circumstances may dictate the use of decision sight distance or even passingsight distance. In the case of sag curves, the sight distance is replaced by a headlightillumination distance of the same magnitude, assuming a headlight height of 0.6 m and adivergence angle of 1° above the longitudinal axis of the headlights. A dipped headlight onlyilluminates about 100 m of the road ahead. At speeds normally encountered on rural roads,the available sight distance will thus be considerably over-driven.

Values of K, based on stopping sight distance in the case of crest curves, and on headlightillumination distance in the case of sag curves, are given in Table 4.1.

Table 4.1: Minimum values of k for vertical curves

Design Speed(km/h)

Crest curves Sag curves

405060708090100110120

611162333466081110

81216202531364352

4.2.2 Minimum Lengths of Vertical CurvesWhere the algebraic difference between successive grades is small, the intervening minimumvertical curve becomes very short and, particularly where the tangents are long, this can createthe impression of a kink in the grade line. Where the difference in grade is less than 0.5 percent, the vertical curve is often omitted. For algebraic differences in grade greater than 0.5 percent, a certain minimum length is suggested for purely aesthetic reasons. For freeways aminimum length of 240 m is recommended. The lengths suggested in Table 4.2 below applyto all roads other than freeways.

Where a crest curve and a succeeding sag curve have a common end and beginning of curve,the visual effect created is that the road has suddenly dropped away. In the reverse case, theillusion of a hump is created. Either effect is removed by inserting a short length of straightgrade between the two curves. Typically, 60 m to 100 m is adequate for this purpose.

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Table 4.2: Minimum lengths of vertical curves

Design Speed (km/h) Length of curve (m)

406080100120

80100140180220

4.3 Gradients

4.3.1 Maximum Gradients The speed of passenger cars is relatively unaffected by gradient and the horizontal alignmentwill tend to govern the selection of speed. Truck speeds are however markedly affected bygradient. The design should therefore aim at grades which will not reduce the speed of heavyvehicles to such an extent as to cause intolerable conditions for following drivers. It has beenfound that the frequency of truck accidents increases sharply when truck speed is reduced bymore than 15 km/h. For southern African conditions a speed reduction of 20 km/h isrecommended as representing intolerable conditions. If gradients on which the truck speedreduction is less than 20 km/h cannot be achieved economically, it may be necessary toprovide auxiliary lanes for the slower-moving vehicles. Local research has established that,on flat grades, 50 percentile truck speeds are about 17 km/h lower than the equivalentpassenger car speeds, so that a speed reduction of 20 km/h actually represents a total speeddifferential between trucks and passenger cars of about 37 km/h.

Suggested maximum gradients for different design speeds and types of topography are givenin Table 4.3. It is stressed that these are guidelines only. The optimization of the design of aspecific road with the whole-life economy of the road taken into account may suggest someother maximum gradient. Where traffic volumes suggest that a freeway is necessary, thetopography being traversed becomes less of a consideration in view of its impact on operatingcosts supported by the multiplier effect of the traffic volume being served. At gradients of threeper cent or less, truck speeds are not significantly influenced by gradient.

Table 4.3: Maximum gradients

Design speed(km/h)

Maximum gradient (%)

Flat Rolling Mountainous

406080100120

76543

87654

98765

Note: Where gradients exceed 9 per cent, additional safety measures,such as climbing/descending lanes, arrester beds, compulsorytruck stops and guardrails, will have to be considered.

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4.3.2 Critical Length of Grade The critical length of any given grade is defined as that length which causes the speed of thedesign truck to be reduced by 20 km/h. The starting point of the grade can be approximatedas a point halfway between the preceding vertical point of intersection and the end of thevertical curve. The critical length therefore indicates where the provision of an auxiliary lanemay have to be considered. Critical lengths of grade are given in Table 4.4.

Table 4.4: Critical length of grade

Gradient (%) Length of grade (m)

345678

500300240200170150

4.4 Phasing of Vertical and Horizontal Alignment

Horizontal and vertical curves may be remote from each other so that there is no interactionbetween them with regard to sight distance considerations or to the overall aesthetics of theroad. Very often, however, the situation arises whereby the traversing of a high or a low pointon the route is accompanied by a combination of a vertical and a horizontal curve in closeproximity to one another. Under these circumstances the phasing of the two curves becomesimportant. A horizontal curve located immediately beyond a crest curve is an obviouslydangerous example of poor phasing of the two alignments. A further example involves thesuper-elevation development related to the horizontal curve commencing at the start of thevertical curve. The outer edge of the road could then create the illusion of an unalteredgradient while the centreline is dropping away and the inner edge dropping away very sharplyas a resultant of the vertical curvature and the super-elevation development. Super-elevationdevelopment invariably creates the impression of a kink in the alignment of the road edges andthe described combination of horizontal and vertical curvature causes these kinks to beparticularly severe. Not only is the end result unaesthetic but drivers have been known toswerve to avoid what appears to be a hole in the road.

Horizontal curves require a specific action of the driver and it is thus necessary that the onsetof the horizontal curve should be visible prior to the vertical curve being traversed. Seeing thatthe road is travelled in both directions, it follows that, for safety, the vertical curve should bewholly contained within the horizontal curve.

In general, a combination of horizontal and vertical curvature can be visually pleasing. Theclassic combination arises when the vertices of the horizontal and the vertical curvature are ata common point and the length of the vertical curve is selected such that the beginning of thevertical curve corresponds with the end of the super-elevation development.

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4.5 Climbing Lanes

A climbing lane is an auxiliary lane added outside the continuous lanes and has the effect ofreducing congestion in the through lanes by removing slower-moving vehicles from the trafficstream. As such, it is used to match the Level of Service on the rising grade to that prevailingon the level sections of the route. The climbing lane is also referred to as a crawler lane, trucklane and, confusingly, even as a passing lane. The passing lane is also an auxiliary lane butis typically provided on level sections of the route. Its application is to raise the overall Levelof Service and capacity of the route. As an extreme example, a four-lane road could beconsidered as a two-lane road with continuous passing lanes in both directions.

Many freight operators subscribe to the view that trucks should not travel at higher speeds ondowngrades than they could maintain if travelling in the opposite direction. This contention isbased on the possibility of overheating and consequent failure of the brakes and appliesparticularly to downgrades of considerable length. If an upgrade warrants a climbing lane andis in excess of 1 000 m long, the opposite side of the road may be a candidate for a descendinglane. It is, however, demonstrably easier to overtake on a downgrade and a Level of Serviceanalysis should be undertaken to determine whether or not the descending lane would haveany worthwhile effect on level of service.

The climbing (and descending) lane is sometimes not effectively utilized, especially when trafficflows are heavy, because the drivers of slower vehicles fear that they will not be allowed tomerge with the faster vehicles where the climbing lane ends. The position of the lane-dropmust therefore allow the slower vehicle to gain enough speed to merge with the faster vehicles.

An alternative layout of the terminal section could force faster vehicles to merge with theslower. In addition to a higher construction cost, however, this could result in the faster vehicleeffectively running out of space to complete the manouevre, thus ending up in the opposinglane. Dropping the auxiliary lane itself would have the effect that a vehicle that is unable tocomplete the merge would at least have the shoulder as an escape route.

If possible, lane-drops should not be situated on curves. In plan view, this layout may beaesthetically pleasing but, unfortunately, the driver does not have the privilege of viewing theroad from this perspective. Under these circumstances, the first time that the driver is awareof the narrowing of the cross-section is when he notices that the vehicle alongside is suddenlymuch closer than it was previously. Figure 4.1 illustrates the recommended layout for climbinglanes.

4.5.1 Warrants for Climbing Lanes As implied earlier, the maintenance of an acceptable level of service over a section of the routeis one of the reasons for the provision of climbing lanes. Another reason is the enhancementof road safety by the reduction of the speed differential in the through lane. The warrants forclimbing lanes are therefore based on both the speed and volume of the traffic.

Any grade which exceeds the critical length given in Table 4.4 will cause truck speed to bereduced by more than 20 km/h. The effect of the preceding grade can, however, not beignored. A truck speed profile should be prepared for each direction of flow. It will then bepossible to identify those sections of the road where speed reductions of 20 km/h or more maywarrant the provision of climbing lanes. The traffic volume warrant is given in Table 4.5.

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Figure 4.1: Layout of climbing lane

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Table 4.5: Traffic volume warrants for climbing lanes

Gradient(%)

Traffic volume in design hour (veh/h)

5 % trucks in stream 10 % trucks in stream

468

10

632468383324

486316257198

A further warrant that could be considered is based on the intention to match levels of servicealong the route. A Level of Service (LOS) analysis would then be undertaken for the grade inquestion. Various warrants have been proposed from time to time. Typically, a drop of twolevels of service, eg from LOS B to LOS D is considered to be adequate grounds for theprovision of a climbing lane. The only weakness of the capacity analysis approach is that eachlevel of service implies a range of operating conditions. A road could be operating at justabove the boundary between LOS B and LOS C while, on the upgrade of interest, the level ofservice is just below the boundary between LOS C and LOS D. In practice, there has not, inthis example, really been a drop of two levels of service.

An alternative to these warrants is to consider some form of economic analysis. For example,software has been developed that relates the cost of construction of the climbing lane to thevalue of time saved by its provision. The analysis is based on calculation of delay that wouldensue over the design life of the road if the climbing lane was not provided.

4.5.2 Location of Climbing Lane Terminals A slow moving vehicle should be completely clear of the through lane by the time its speed hasdropped by 20 km/h, and remain clear of the through lane until it has accelerated again to aspeed which is 20 km/h less than its normal speed. The recommended taper length for thestart taper is as given in Table 8.1. and the taper should commence at this distance in advanceof where the full climbing lane width is required. The recommended length for the end tapercan be read off Table 8.3, and this lane drop should not commence prior to the point at whichthe slow moving vehicle as regained a speed that is 20 km/h less than its normal speed. Ifthere is a barrier line, owing to restricted sight distance, at the point where the speed reductionwarrant falls away, the full lane should be extended to where the barrier marking ends.

4.5.3 Climbing Lane Cross-section The climbing lane should have the same width as the adjacent through lanes. It will be seenin the next chapter that through lanes may have a width of 3.7 m, 3.4 m or 3.1 m. It is unlikelythat climbing lanes will be provided on roads where the traffic volumes are so low that a lanewidth of 3.1 m is adequate. Climbing lanes therefore tend to be either 3.7 m or 3.4 m wide.Even if the through lanes are 3.7 m wide, a climbing lane 3.4 m or perhaps even 3.1 m widemay be considered on the grounds of low lane occupancy and speed.

Like the lane width, the shoulder width alongside a climbing lane should ideally match theshoulder widths in advance of and beyond the climbing lane. Climbing lanes are invariablyrequired in areas where earthworks may be heavy, and a reduction in shoulder width wouldlead to significant savings in construction costs. A minimum usable shoulder width of 1.0 m

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would be acceptable, also on the grounds of low lane occupancy and low speeds. Theshoulders of climbing lanes are normally surfaced. (See also Subsection 5.3.)

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5. CROSS-SECTIONAL ELEMENTS

5.1 Introduction

The cross-section of a road provides accommodation for moving and parked vehicles,drainage, public utilities and pedestrians. For the safety and convenience of drivers, widelanes and shoulders and gently sloping border areas are desirable, since they forgive minorerrors of judgment and promote ease of operation.

Cross-sectional dimensions are discussed in the following sections. Figure 5.1 illustrates thevarious components of the cross-section and the nomenclature employed in this document.

Alternatives to the dimensions suggested may be appropriate for particular conditions.Variations should be selected to suit these conditions. Careful consideration should be givento the function of the cross- sectional element before departing from the recommended values.Where a variation is local, eg to accommodate the use of a narrow structure because it is noteconomically feasible to replace or upgrade it, due attention must be paid to the provision ofadequate road signs and markings warning drivers of the inconsistency in design.

5.2 Lanes

5.2.1 Basic or Through LanesUndivided roads may have either one lane in each direction (two-lane two-way roads) or morethan one lane in each direction (multi-lane roads). Dual carriageway roads have two or morelanes in each direction and are described in terms of the total number of lanes, e.g. as four-lane divided or six-lane divided roads. Roads at the tertiary level of the hierarchy may haveonly one lane with provision being made at intervals for passing.

Customarily, there is symmetry of through lanes, and asymmetry on a particular section of roadshould arise only from the addition of an auxiliary lane that is clearly allocated to one directionof travel. Three-lane two-way roads have been built that were intended to function as two-lanetwo-way roads with a continuous central passing lane. These roads were found to have twicethe capacity of two-lane two-way roads, but they have been abandoned, in spite of the savingin construction costs resulting from the narrower cross-section, because the practical effect ofthe three-lane cross-section is to concentrate the faster vehicles of the two opposing trafficstreams in a common lane. This is similar to the situation found in the overtaking manoeuvreon a two-lane road, but in the latter case it is clear which of two opposing vehicles has the rightof way. When three-lane roads are marked only as having three lanes with no passingrestrictions, there is no clarity regarding right of way; it is this lack of clarity that causes three-lane roads to be unsafe.

The selection of lane width is based on traffic volume and vehicle type and speed. Highervolumes and speeds require wider lanes, and the greatest lane width recommended is 3.7 m.No operational or safety benefit accrues from lane widths wider than 3.7 m although, fordifferent reasons, urban lane widths can be as great as 5.5 m. The narrowest widthrecommended is 3.1 m, giving a clear space of 0.3 m on either side of a vehicle that is 2.5 mwide. This lane width will normally be employed only where speeds or traffic volumes areexpected to be low. Intermediate conditions of volume and speed can be adequately cateredfor by a lane width of 3.4 m.

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Figure 5.1: Cross-sectional elements

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Where traffic volumes are such that a multi-lane cross-section or a divided cross-section isrequired, 3.7 m is a logical lane width to adopt. Lesser lane widths may however be warrantedby abnormal circumstances.

5.2.2 Passing LanesAs stated earlier, passing lanes are auxiliary lanes added to the outside of the travelled wayand are intended to increase the overall capacity of a road by increasing the passingopportunities provided.

As a rule of thumb, it is suggested that passenger car speeds should not decrease to less than60 km/h in mountainous terrain or 100 km/h on flat or rolling terrain. Table 5.1 offers, forvarious percentages of passing opportunity, values of ADT above which passing lanes shouldbe provided in order to match this suggestion. Tapers and the other considerations applyingto climbing lanes are equally applicable to passing lanes.

Table 5.1: Values of adt warranting the provision of passing lanes

Terrain Type % Passing opportunity Maximum ADT

Mountainous 60402010

5 8603 5402 6202 080

Rolling 60402010

6 0004 3003 3302 790

Flat 60402010

5 8105 0784 2003 630

5.3 Shoulders

The shoulder is defined as the usable area alongside the travelled way. Its width does not,therefore, make provision for the mounting of guardrails, for edge drains or for shoulderrounding. The shoulder breakpoint is some distance beyond the edge of the usable shoulder.This distance is usually about 0.5 to 1.0 m.

There are many possible uses for shoulders, including roadside vending, but emergencystopping is the only consideration applied in this document. A stopped vehicle can beadequately accommodated by a shoulder which is 3.0 m wide, and there is no merit in adoptinga shoulder width greater than this. The shoulder should not, on the other hand, be so narrowthat a stopped vehicle would cause congestion by forcing vehicles travelling in both directionsinto a single lane. However, a partly blocked lane is acceptable under conditions of low speedand low traffic volume. Assuming the narrowest width of through lane, i.e. 3.1 m, it is possiblefor two vehicles to pass each other next to a stopped vehicle if the shoulders are not less than1.0 m wide, giving a total cross-sectional width of 8.2 m to accommodate three vehicles. It

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must be stressed that this width is an irreducible minimum and appropriate only to low lanevolumes and low speeds, such as are encountered in climbing lanes. Hazards, including theedges of high fills, tend, if located closer than 1.5 m to the lane edge, to cause a lateral shiftof vehicles. For speeds higher than 60 km/h, a shoulder width of 1.5 m should be regarded asthe minimum.

Intermediate traffic volumes and higher operating speeds require a shoulder width greater than1.0 m. Three alternative shoulder widths are suggested, namely 1.5 m, 2.0 m and 2.5 m. The3.0 m shoulder is appropriate for the highest operating speeds and heavy traffic volumes.

Where the traffic situation dictates a dual-carriageway cross-section, the highest standard ofshoulder width is called for, namely 3.0 m in the case of the outer shoulder. Only 1.0 m isrequired for the inner shoulder where it would be possible to move a broken-down vehicle ontothe median and thus clear the lane, or where the vehicle would have to be moved across onelane only to reach the safety of the outer shoulder, as would occur on a four-lane divided road.As it is generally conceded that crossing two lanes with a defective vehicle could be verydifficult, a six-lane divided road should have inner shoulders 3.0 m wide. The intermediateshoulder widths suggested above would not normally be used for the inner shoulders of adivided road.

The surfacing of shoulders is recommended:

• For freeways • In front of guardrails • Where the total gradient, i.e. the resultant of the longitudinal gradient and the camber

(or super-elevation), exceeds five per cent • Where the materials of which the shoulders are constructed are readily erodible, or

where the availability of materials for shoulder maintenance is restricted • Where heavy vehicles would tend to use the shoulder as an auxiliary lane • In mist belts • Wherever it is economically justified • Wherever significant usage by pedestrians occurs (as specified in Chapter 11).

A patchwork of surfaced shoulders is both unsafe and unsightly. Where the lengths ofintervening unsurfaced shoulders would be relatively short, it is suggested that they should alsobe surfaced. If a warrant exists for surfacing 60 per cent of the shoulders on a route, thebalance should also be surfaced.

5.4 Medians

The median is the total area between the inner edges of the inside traffic lanes of a dividedroad, and includes the inner shoulders and central island. The purpose of the median is toseparate opposing streams of traffic hence reducing the possibility of vehicles crossing intothe path of opposing traffic. This is accomplished by the selection of the width of the medianor by a physical barrier such as a guardrail. Medians are also used to reduce the nuisance ofheadlight glare by the planting of shrubs on the central island. The shrubs should not grow sotall that sunlight could fall into the driver's eyes in bands - the stroboscopic effect encounteredin avenues of trees in the early morning or late afternoon. In addition, the stems of the shrubsshould not grow so thick as to become a further possible hazard to the motorist; a maximum

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stem thickness of 100 mm is recommended. Medians should, as far as possible, not beobstructed by street furniture.

Median width depends not only on traffic volume but also on the function of the road and ontraffic composition. For example, a median functioning purely as a pedestrian refuge could bemuch narrower than one protecting a turning vehicle which could be anything up to acombination vehicle (i.e. semitrailer plus trailer).

A median width of 9.2 m would eliminate most cross-median accidents, and this width isrecommended where no barriers are provided between opposing traffic flows. Where a roadis to be constructed in stages, the median should be wide enough to accommodate futurelanes, without its falling below the recommended width in the final stage. Operationaldifficulties may arise at intersections with very wide medians because of the duration of turningmovements. The median should, however, be wide enough to provide refuge to the designvehicle. If, as suggested in Section 2.2, the design vehicle is the single unit truck, its overalllength of 9.18 m suggests that the recommended width will be adequate.

With severe space limitations, it is possible to use medians that are as little as 1.5 m wide.These would, however, serve only to accommodate back-to-back guardrails to ensurevehicular separation. A median that is 5.0 m wide would be able to accommodate a right turnlane with provision for a pedestrian refuge but would also require guardrail protection toseparate the opposing flows of traffic.

It is suggested that the median island should be depressed rather than raised, because araised or kerbed median island, will automatically require the inner shoulder to be 3.0 m wideto allow sufficient space for emergency manoeuvres, including stopping. A depressed medianwould also facilitate drainage, as discussed in the following chapter.

The purpose of an outer separator is most frequently to separate streams of traffic flowing inthe same direction but at different speeds and also to modify weaving manoeuvres. In general,the standards applied to medians are equally appropriate to outer separators.

5.5 Verges

The verge is defined as the area between the longitudinal works and the road reserveboundary. The boundary of the longitudinal works is taken as being at the top of cut or toe offill. “Longitudinal works” may also include side drains or catchwater drains but for the purposeof this definition they are considered to be located in the verge. Any services not directlyconnected with the road, e.g. telephone or power lines, are normally located in the verge.

The argument applying to the width of the median applies also to the verge, suggesting thatthe sum of the shoulder width and the verge width should be of the order of 9.0 m.

The verge should be clear of all hazards. Furthermore, it should also be kept clear ofvegetation on the inside of horizontal curves where this could cause an obstruction to sightdistance.

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5.6 Slopes

5.6.1 Camber and CrossfallCamber implies two slopes away from a central high point, as in a two-lane two-way road,where the cross-section slopes down from the centre line to the shoulders. Crossfall is a singleslope from shoulder to shoulder. The slope, be it camber or crossfall, is provided to facilitatedrainage of the road surface. The steepness of slope is almost invariably two per cent,although, in areas where heavy rainfall is common or where the most economical longitudinalgradient is zero per cent, this can be increased to an absolute maximum of three per cent.Cambers steeper than three per cent introduce operational problems, both in driving and inincreased wear of vehicle components. Where the shoulder is surfaced, the camber shouldbe taken to the edge of the outer shoulder. Unsurfaced shoulders should have a crossfall offour per cent to ensure that the rate of flow across this rougher surface matches that across thesurfaced area.

5.6.2 MediansTwo different conditions dictate the steepness of the slope across the median: drainage andsafety. As suggested earlier, the normal profile of a median would be a negative camber, i.e.sloping towards a central low point, to facilitate drainage. The flattest slope that isrecommended is 10 per cent. Slopes flatter than this may lead to ponding and to water flowingfrom the median to the carriageway.

Slopes steeper than 1:4 would make control of an errant vehicle more difficult, leading to agreater possibility of cross-median accidents. If surface drainage requires a median slopesteeper than 1:4, this aspect of road safety would serve as a warrant for replacing surfacedrainage by an underground drainage system.

Differential, or split, grading requires the median to be sloped to absorb the height differencebetween the carriageways. This is achieved, in the case of small height differences, bylocating the low point of the median eccentrically, retaining the maximum permissible slope.The limit is reached when the low point is adjacent to the lower carriageway and functions asa side drain. If a steeper slope is required, the carriageways will have to be designed ascompletely independent roadways, with full-width shoulders, guardrails if necessary, andsufficient distance between shoulder breakpoints, with the side slope appropriate to the in-situmaterial, to accommodate the height difference between carriageways. Figure 5.2 illustratesthe transition from a single-graded divided road to a split grading with a slope of 1:1.5 acrossthe median.

5.6.3 Cut and Fill Batters The slopes of the sides of the road prism are, like those of medians, dictated by two differentconditions. Shallow slopes are required for safety and a slope of 1:4 is the steepest acceptableslope for this purpose. The alternative is to accept a steeper slope and provide for safety bysome other means, such as guardrails. In this case the steepest slope that can be used isdictated by the natural angle of repose and erodibility of the construction material. Non-cohesive materials require a batter of 1:2, whereas cohesive soft materials can maintain aslope of 1:1.5. Cuts in firm cohesive materials such as stiffer clays can be built to a slope of1:1. Rock cuts can be constructed to a slope of 1:0.25 (4:1) provided that the material isreasonably unfissured and stable.

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It is stressed that the batters suggested are only an indication of normally used values. Thedetailed design of a project should therefore include geotechnical analysis, which will indicatethe steepest batters appropriate to the construction or in-situ material. Economic analysis willindicate the height of fill above which a slope of 1:4 should be replaced by a steeper slope andalternative provision made for safety. As a rule of thumb, the transition from the flat batterslopes to slopes dictated by the materials typically occurs at a height of fill of about 3.0 m.

5.7 Minor Structures

5.7.1 Agricultural Underpasses Agricultural underpasses provide access across a proclaimed road for mechanical farmimplements. These underpasses offer the benefits of safety to the road user and convenienceto the landowner but are expensive to provide. The provision of an underpass at a particularpoint is therefore a matter of economic evaluation and policy, rather than of design.

The height of the underpass depends on whether it is the only access to the farmhouse fromthe public road, in which case a height of 5.1 m is required. If it is not the only access, theheight can be reduced to 4.0 m. In both cases a width of 4.0 m is generally adequate.

5.7.2 Other Minor Structures Underpasses for stock farming purposes are generally 2.4 m by 2.4 m, but for small stock, suchas sheep, this dimension can be reduced to 1.8 m by 1.8 m. Although sheep can pass throughstructures smaller than 1.8 m by 1.8 m, they will not do so unless driven.

Pedestrian underpasses are discussed in Chapter 11.

5.8 Clearances

Ideally, the area within 9.0 m of the edge of the travelled way should be kept clear ofobstructions as far as possible. However, items of roadside furniture such as road signs wouldlose a lot of their value if located at this distance. It will, therefore, be necessary to allowinfrequent invasions of this clear space.

Sign supports should not be located within 0.5 m of the shoulder break point, thus allowing aclear metre between the edge of the usable shoulder and the inner edge of the sign support.Poles for street lights should be similarly located. Where the travelled way is bounded by akerb, the kerb face should be not less than 0.3 m from the edge of the travelled way and thelateral distance of 0.5 m recommended for sign supports and light poles is measured from thekerb face.

Vertical clearances can be either in respect of road structures such as over- or underpassesor to services provided by others. The latter refers essentially to power and telephone lines.These service providers invariably have their own requirements with regard to clearances.Power suppliers usually specify different clearances depending on the voltage in the power linebeing crossed so that a 33 kV line demands a higher clearance than a 3.3 kV line. Similarly,if a telephone line also serves as a land line for local radio broadcasts, a higher clearance willbe required than for conventional telephone services. It will be necessary to consult the

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relevant authority regarding its requirements prior to commencing design of the verticalalignment.

In the case of clearance to road structures, provision must be made for vehicles with highloads. In the SATCC region, permissible vehicle heights range from 3.6 m to 4.6 m. Using thegreater of these two heights and allowing for a clear space of 0.5 m between the top of the loadand the soffit of the structure, it will be necessary to provide a vertical clearance of 5.1 m at allpoints between the roadbed (ie from shoulder breakpoint to shoulder breakpoint) and the soffitof the structure over it.

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Figure 5.2: Transition from single- to split grading

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6. DRAINAGE

6.1 Introduction

The drainage associated with any road can be divided into two broad categories: the drainageof the catchment area traversed by the road and the drainage of the road reserve itself. It isthe latter which concerns the geometric designer. He must ensure that the constructionmaterials, particularly in the design layers, will not lose their bearing capacity by becomingsaturated. He must also ensure that the road surface can drain quickly so as to minimise thepossibility of vehicles hydroplaning or skidding out of control. Unlike the urban situation, theroad should not serve as a drain for other areas.

As drainage devices, such as inlets or side drains, may be very close to the path traversed byvehicles, the designer has the responsibility of ensuring that effective drainage is achievedwithout the drainage system creating a greater hazard than the stormwater it seeks to remove.Finally, he also has the responsibility of ensuring that the discharge of water from the roadreserve does not create a hazard or nuisance outside the limits of the reserve.

This chapter discusses the various elements of the drainage system commonly encounteredin the rural environment, and makes recommendations regarding their dimensions andlocation.

6.2 Silting and Scouring

Both silting and scouring of a drain increase the hazard to the road user. Scour would lead tothe creation of a deep channel that would be impossible to traverse with any degree of safety.It may also cause erosion of the shoulder and ultimately threaten the integrity of the travelledway itself. Silting may block the drain, so that water that should have been removed would bedischarged onto the road surface.

The effectiveness of the drain depends on water speed, which is a function of longitudinalslope, as well as of other variables. There is a range of slopes over which water speeds on in-situ materials will be so low that silting occurs, and another range where water speeds will behigh enough to cause scour. On slopes between these two ranges neither silting nor scouringwill occur and unpaved drains will be effective.

Paving solves some of the problems caused by both silting and scouring. Paving generally hasa lower coefficient of roughness than in-situ materials, so that water speeds are higher in apaved drain than in an unpaved drain with the same slope. Furthermore, it is possible to forcehigher speeds in the paved drain by selection of the channel cross- section. The problem ofsilting can be resolved, at least partially, by paving the drain.

The flow velocity below which silting is likely to occur is 0.6 m/s. Flow velocities above whichscour is likely to occur are given in Table 6.1. Conventional open-channel hydraulics will, inconjunction with Table 6.1, indicate when either silting or scouring is likely, and hence whetherit is necessary to pave a drain or not.

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As a rough guide to longitudinal slopes, it is suggested that unpaved drains should not besteeper than 1:50, nor flatter than 1:200. Paved drains should not be flatter than 1:300.Practical experience indicates that it is difficult to construct a paved drain accurately to thetolerances demanded by a slope flatter than 1:300, and that local imperfections may causesilting of an otherwise adequate drain.

Table 6.1: Scour velocities for various materials

Material Maximum permissible velocity(m/s)

Fine sandLoamClay

GravelSoft shaleHard shaleHard rock

0.60.91.21.51.82.44.5

Where the longitudinal slope is so flat that self-cleansing water speeds are not achieved, evenwith paving, it will be necessary to consider a piped drainage system.

As an alternative to lining a material subject to scour, it is possible to reduce flow velocity byconstructing weirs across an unpaved drain. The drain will then in effect become a series ofstilling basins at consecutively lower levels. While this could be an economical solution interms of construction cost, it has the disadvantage that an errant vehicle would be confrontedby an area of deep localised erosion, immediately followed by a stone-pitched or concrete wall.If this alternative is to be considered at all, it should be restricted to roads with very low trafficvolumes and the weirs should be spaced as far apart as possible.

6.3 Channel Profiles

6.3.1 Longitudinal Profile Channels that are roughly parallel in plan to the centre line of the road generally follow thevertical alignment of the centre line as well. However, the gradients on the centre line are notalways within the limits suggested above for channel slopes and the designer will have to giveattention to channel grading. An example is the top of a crest vertical curve where, for avertical curve K value of 100, the centre line of the road is flatter than 1:200 for a distance of100 m. In this case, the 50 m of channel on either side of the highest point would have to beindividually designed.

6.3.2 Transverse Profile Drains constructed through in-situ materials generally have flat inverts so that, for a given flow,the flow velocity will be reduced. The flat inverts reduce the possibility of scour and are easyto clear if silting occurs. Paved drains, not being susceptible to scour, have a V-profile. Self-cleansing velocities are thus achieved at relatively small flows and the need for maintenanceis reduced.

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The sides of the drain should not be so steep as to be dangerous to the road user; a maximumslope of 1:4 is recommended. Ideally, both sides of the drain should be designed to this slopeor flatter. Where space for the provision of the drain is restricted, the slope closest to the roadshould remain at 1:4, and the outer slope steepened. This has the effect of positioning thedrain as far as possible from the path of vehicles. One example of this is a side drain in a cut,where the outer slope of the side drain forms an extension of the cut face. These slopes, incombination with the flat invert, give the trapezoidal profile of an unpaved drain.

It is recommended that the bottom of a lined V-profile and the junctions between the sides andbottom of an unlined trapezoidal profile be slightly rounded. The rounding will ease the pathof an errant vehicle across the drain, and reduce the likelihood of a vehicle digging its frontbumper into the far side of the drain and somersaulting.

Because of the need to safeguard the design layers against saturation, it was previouslycommon practice to recommend a minimum depth of drain. Emphasis has now shifted to thesafety of the road user, leading to the recommendation of a maximum depth of drain. Therecommended maximum depth is 500 mm. The volume of water to be conducted by adrain thus indicates the required width of the drain rather than its depth, since the need to keepthe design layers unsaturated has not changed.

6.4 Types of Drain

Typical drain profiles are illustrated in Figure 6.1.

6.4.1 Side DrainsSide drains are located beyond the shoulder breakpoint and parallel to the centre line of theroad. While usually employed in cuts, they may also be used to run water along the toe of afill to a point where the water can conveniently be diverted, either away from the road prism orthrough it, by means of a culvert. When used in conjunction with fills, side drains should belocated as close to the edge of the reserve boundary as is practicable to ensure that erosionof the toe of the fill does not occur. Side drains are intended as collectors of water and the areathat they drain usually includes a cut face and the road surface.

6.4.2 Edge Drains Edge drains are intended to divert water from fill slopes that may otherwise erode eitherbecause of the erodibility of the material or because they are subjected to concentrations ofwater and high flow velocities. Guardrail posts tend to serve as points of concentration ofwater, so that, as a general rule, edge drains are warranted when the fill material is erodibleor when guardrails are to be installed.

Edge drains should preferably be raised rather than depressed in profile. A depressed drainlocated almost under a guardrail would heighten the possibility that a vehicle wheel might snagunder the guardrail.

Edge drains are constructed of either concrete or premixed asphalt. Premix berms normallyhave a height of 75 to 80 mm, and are trapezoidal in profile with a base width of 250 mm anda top width of 100 mm. Concrete edge drains are normal barrier kerbs and channels. Theserequire a properly compacted backing for stability and are, therefore, less convenient toconstruct than premix berms.

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Figure 6.1: Typical drain profiles

6.4.3 Catchwater Drains The catchwater drain, a berm located at the top of a cut, is to the cut face what the edge drainis to a fill. It is intended to deflect overland flow from the area outside the road reserve awayfrom the cut face.

Even if the cut is through material which is not likely to scour, the catchwater drain serve toreduce the volume of water that would otherwise have to be removed by the side drain locatedat the bottom of the cut face.

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Catchwater drains are seldom, if ever, lined. They are constructed with the undisturbed topsoilof the area as their inverts, and can readily be grassed as a protection against scour.Transverse weirs can also be constructed to reduce flow velocities, since the restrictionsmentioned in Section 6.2 do not apply to catchwater drains. The cut face and the profile of thedrain reduce the probability of a vehicle entering the drain but, should this happen, the speedof the vehicle will probably be low.

6.4.4 Median Drains Median drains not only drain the median but also, in the case of a horizontal curve, preventwater from the higher carriageway flowing in a sheet across the lower carriageway. The spaceavailable for the provision of median drains makes it possible to recommend that thetransverse slopes should be in the range of 1:4 to 1:10. If the narrowest median recommendedin Section 5.4 is used, a transverse slope flatter than 1:10 may make it difficult to protect thedesign layers of the road. Unlike side drains, median drains, whether lined or not, aregenerally constructed with a shallow V-profile with the bottom gently rounded.

6.5 Discharge from Drains

The main problem of median drainage is not the transport of the water along the median somuch as the removal of water from the median. Likewise, water concentrated by an edge drainmust be removed from the shoulder before it encroaches on the travelled way. Generally, dis-charge from drains must be considered as carefully as the drainage system itself, if thisdischarge is not to become either a hazard to the road user, damage the permanent works, orbecome a nuisance to adjacent land-owners.

6.5.1 Underground Systems The geometric designer is not directly concerned with the underground system, except for itsinlets. These must be hydraulically efficient and correctly positioned to ensure that water doesnot back up onto the road surface or saturate the design layers. To restrict the hazard to theroad user, inlets that are flush with the surface drain invert are preferable to raised structures.

Underground reticulation is costly both to provide and to maintain. The designer shouldtherefore, without violating the principles discussed above, attempt to reduce the use ofunderground drainage as far as possible by the discerning use of surface drainage.

6.5.2 Chutes Chutes are intended to convey a concentration of water down a slope which, without suchprotection, would be subject to scour. They may vary in size from large structures to half-roundprecast concrete product, but they are all open channels. Flow velocities are high, so thatstilling basins are required if down-stream erosion is to be avoided. An example of theapplication of chutes is the discharge of water down a fill slope from an edge drain. Theentrances to chutes require attention to ensure that water is deflected from the edge drain intothe chute, particularly where the road is on a steep grade.

It is important that chutes be adequately spaced to remove excess water from the shouldersof the road. Furthermore, the dimensions of the chutes and stilling basins should be such thatthese drainage elements do not represent an excessive risk to errant vehicles. Generally, theyshould be as shallow as is compatible with their function and depths in excess of 150 mmshould be viewed with caution.

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Because of the suggested shallow depth, particular attention must be paid to the design andconstruction of chutes to ensure that the highly energised stream is not deflected out of thechute. This is a serious erosion hazard which can be obviated by replacing the chute with apipe.

6.5.3 Mitre Banks As their name implies, these banks are constructed at an angle to the centre line of the road.They are intended to remove water from a drain next to the toe of a fill, and to discharge itbeyond the road reserve boundary. Several mitre banks can be constructed along the lengthof a drain, as the concentration of water in the drain should ideally be dispersed and its speedcorrespondingly reduced before discharge. Speed can be reduced not only by reducing thevolume, and hence the depth, of flow but also by positioning the mitre bank so that its toe isvirtually parallel to the natural contours. The upstream face of a mitre bank is usually protectedby stone pitching, since the volume and speed of flow of water which it deflects may causescour and ultimately lead to breaching of the mitre bank.

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7. SAFETY BARRIERS

7.1 Introduction

Road user safety, or rather its absence, has evident economic consequences in terms ofproperty damage and loss of earnings or production resulting from physical injury, in additionto the emotional consequences of pain, suffering and death. Safety and economy are the twinfoundation stones on which competent design rests. Inadequate consideration of either willautomatically result in inadequate design.

Earlier chapters have discussed, with both safety and economy in mind, the selection ofelements of the vertical and horizontal alignment and the cross-section of the road, as well asthe provision of drainage. This chapter, however is devoted to elements which are primarilyaimed at road user safety.

7.2 Guardrails

7.2.1 Warrants If road safety is to be promoted, there is no real substitute for flat slopes and clear verges.Guardrails are a compromise between the conflicting demands of construction costs and safetyand are, themselves, a hazard.

To be warranted, the guardrails should be a lesser hazard than that which they are intendedto replace. On existing roads an important warrant for guardrail installation is an adverseaccident history. In the case of proposed roads, it is necessary to consider whether theoutcome of an accident is likely to be more serious without guardrails than with them.

The seriousness of an accident involving a vehicle going down a slope is measured in termsof a severity index (SI). This index compares the cost of such an accident with that of aproperty-damage-only accident. The cost of an accident involving a vehicle striking a guardrailis also compared with that of a property-damage-only accident, providing a further SeverityIndex. Comparison of the two indices will indicate whether a guardrail should be installed. Forconvenience, the indices are combined in a single curve, the Equal Severity Curve, for variouscombinations of fill height and fill slope. Figure 7.1 shows curves based on various SeverityIndices. The Severity Index of 4.8 corresponds to an Equal Severity Curve of 1 (i.e. the costimplications of a vehicle rolling down the fill slope are equal to those of striking the guardrail)and is recommended for adoption in the determination of whether a guardrail is warranted ornot. Figure 7.2. illustrates the application of this curve.

Errant vehicles seldom travel more than 9.0 m beyond the edge of the carriageway and thereshould be no hazardous obstructions in this area. If an obstruction cannot be removed,guardrails may be warranted, depending on the extent of the hazard presented by theobstruction. Such obstacles include permanent water deeper than 1.0 m, and drop-offs higherthan 1.0 m. Culvert inlets and outlets, even if higher than 1.0 m, need not necessarily beregarded as drop-offs, as the target area is less than that presented by the length of guardrailrequired for effective protection.

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Figure 7.1: Equal severity index

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Figure 7.2: Application of equal severity curve

If a guardrail installation is of insufficient length, i.e. less than 30 m, with too few posts, it cannotdevelop its full strength in the longitudinal direction and will fail prematurely.

Protection from a rock face close to the edge of the carriageway can best be provided by a rigidbarrier.

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Some authorities are inclined to consider low radii of curvature as a warrant for the installationof guardrails regardless of the height of fill on the outside of the curve. It is, however,recommended, where the height of the fill does not meet SI warrants for a guardrail, that theoutside fill slope be flattened rather than a guardrail installed.

Generally, before it is accepted that a guardrail is warranted, an attempt should be made toremove the obstruction warranting the guardrail, or the possibility of using a slope sufficientlyflat to obviate the need for a guardrail should be investigated.

7.2.2 Mounting of Guardrails Guardrails, which are heavily galvanized 300 mm W-beams, are mounted on creosoted timberposts that are 1.8 m long and in the diameter class 175 to 200 mm with domed tops or 70°tapered tops. Spacer blocks, with dimensions of 360 x 150 x 100 mm, are mounted betweenthe posts and the guardrail to ensure that a vehicle wheel that has been snagged by theguardrail will not hit the posts. As a further safety precaution, the overlap between successiverails is in the direction of travel.

The guardrail should be mounted with its face about 300 mm beyond the edge of the usableshoulder, to ensure that the full width of the shoulder is, in fact, usable. When a guardrail ismounted in front of a rigid object, such as a bridge pier, it should be far enough forward(± 1.0 m) to allow deflection to take place.

Guardrail mounting is illustrated in Figure 7.3.

The centre of the guardrail is usually 530 mm above the edge of the usable shoulder,corresponding to the height of the centre of gravity of the average passenger car.

Guardrail posts should be located at 3.81 m centres to match the predrilled slots in the rails,except as discussed in Subsection 7.2.3.

As a conspicuous element of the driver's view of the road, the guardrail should present acontinuous smoothly flowing appearance, even if this entails slight departures from themounting position recommended above.

7.2.3 End Treatment The leading and trailing ends of a guardrail installation are its most dangerous features, theformer being more so than the latter.

Two different end treatments have been evolved to reduce the consequences of striking aguardrail end on. The first accepts that the guardrail will be struck, and reduces the severityof the accident by impact attenuation and spreading the load across the body of the vehicle byreplacing the chisel edge of the guardrail with a bull-nose of fairly wide radius. The secondtreatment reduces the likelihood that the end of the guardrail will be struck by flaring the endaway from the road, or by burying it. Often the end is both flared and buried.

With both treatments the post spacing is halved over the first three to five lengths, as shownin Figure 7.4.

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Figure 7.3: Mounting of guardrails

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Figure 7.4: Guardrail end treatment

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7.3 Median Barriers

Barriers are installed on medians to reduce the likelihood of cross-median accidents or to offerprotection against obstacles in the median. Very often the barrier used is a guardrail so thatthe comments in Section 7.2 also apply to this section. A hedge, in addition to providingscreening from the glare of approaching headlights, can also serve as a vehicle barrier.

7.3.1 Warrants Median barriers are not normally used on roads with speed limits of less than 80 km/h.

In the case of existing roads, the major warrant for the installation of a median barrier is anadverse accident history.

Median barriers should be considered for a proposed road if the width of the median is lessthan the 9.2 m suggested in Chapter 5. If the slope of the median is steeper than 1:4, thecarriageways are normally considered to be separate roads, and the warrants discussed inSubsection 7.2.1 apply. Median barriers are also warranted if the barrier will present a lesserhazard than some immovable object such as a bridge pier.

Where the median falls away, such as where the dual carriageway crosses over another roador a river on two separate structures, the installation of guardrails at both ends of the openingis warranted. The preferred alternative, in terms of road safety, is to provide a deck over theopening although, depending on the width of the median and the length of the structures, thiswould, in most cases, not be an economically viable option.

7.3.2 Type of Barrier Different types of median barrier are shown in Figure 7.5.

Guardrails mounted back to back shown as Type M1 are used as median barriers if the widthof the median is between 5.0 and 9.2 m.

If the width is between 2.0 and 5.0 m, the guardrails are supplemented by steel channelsections, 102 x 51 x 3.8 mm in section shown as Type M2.

A median less than 2.0 m wide would warrant consideration of a rigid or Type M3 barrier. Someauthorities prefer this barrier to the guardrail regardless of the width of the median. Themodified New Jersey profile, as shown, can be used although the most recent researchsuggests that a single slope is to be preferred.

7.3.3 End Treatment End treatments may be either bull-nosed or buried. Where the median barrier is required asprotection against an obstacle in the median, the median should be wide enough to allow forflaring, although the extent of flaring would possibly be less than that normally used on theouter shoulder. If the barrier is warranted by the width of the median, it would normally beerected on the centre line of the median, which excludes the possibility of flaring. The endtreatment of median barriers is illustrated in Figure 7.6. Impact attenuation, otherwise knownas “crash cushions”, can be used as an alternative end treatment.

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Figure 7.5: Median barriers

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Figure 7.6: End treatment of median barriers

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8. INTERSECTIONS

8.1 Introduction

An intersection is an important part of a road network, because the safety, speed and cost ofoperation of vehicles on the network are greatly influenced by the effectiveness of itsintersections.

The main objectives of intersection design are to ensure effective utilization of the road networkand to reduce the severity of potential conflicts between vehicles or between vehicles andpedestrians, while facilitating the necessary manoeuvres. A three-legged intersectiongenerates six vehicle conflict points and ten vehicle-pedestrian conflict points, and a four-legged intersection has twenty-four vehicle and twenty-four vehicle-pedestrian conflict points.Accident history shows that this increased potential for collision at intersections is, in fact,realized.

In this chapter the location and the various elements of intersections are discussed.

8.2 Location of Intersections

Considerations of safety suggest various restraints on the location of intersections. The needfor drivers to discern and readily perform the manoeuvres necessary to pass through anintersection safely means that decision sight distance as described in Chapter 2 should beavailable on the major road on both sides of the intersection. The driver on the minor road willrequire intersection sight distance, also described in Chapter 2, to be able to enter or cross themajor road safely. Modification of the alignment of either the major or the minor road, or ofboth, may make it possible to meet these requirements for a safe intersection. If not, it will benecessary to relocate the intersection. If heavy earthworks beyond the normal limits of the roadreserve are required in order to secure the necessary sight distances, relocation of theintersection should also be considered.

The location of an intersection on a horizontal curve can create problems for the drivers onboth legs of the minor road. Drivers on the minor road leg on the inside of the curve will findit difficult to see approaching traffic, because this traffic will be partly behind them. The factthat a large part of the sight triangle falls outside the normal width of the road reserve alsomeans that both decision sight distance and shoulder sight distance may be obscured. Driverson the leg of the minor road on the outside of the curve seldom have any problems with sightdistance because, in addition to having approaching traffic partly in front of them, they have theadded height advantage caused by the super-elevation of the curve. They do, however, haveto negotiate the turn onto the major road against an adverse super-elevation. The risk involvedin sharp braking during an emergency should also be borne in mind when locating anintersection on a curve. Generally, an intersection should not be located on a curve with asuper-elevation greater than six per cent.

Figure 2.4 shows the increase in stopping distance requirements with steepening negativegradient. The stopping distance required on a downgrade of six per cent is approximately40 per cent longer than that required on a level road . Drivers seemingly have difficulty injudging the additional distance required for stopping on grades, and it is suggested as a safety

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measure that intersections should not be located on grades steeper than three per cent. If itis not possible to align all the legs of an intersection to a gradient of three per cent or less, thethrough road could have a steeper gradient because vehicles on the intersecting road haveto stop or yield, whereas through vehicles may only have to do so occasionally. In the case ofprivate accesses, steeper grades can be considered.

Tractors drawing trailers or other farming equipment have difficulty in stopping and pulling awayon steep slopes. It is therefore customary to extend the shoulder slope of the major road alonga farm road for a sufficient distance to allow a tractor-trailer combination to stop clear of theshoulder of the major road and pull away with relative ease.

A distance of approximately 8.0 m is usually allowed for this. After that, a gradient of six percent or more can be used to bring the access road to ground level.

One of the consequences of a collision between two vehicles at an intersection is that eitheror both may leave the road. It is therefore advisable to avoid locating an intersection on a highfill. The obstruction of sight distance by bridge parapets should also be considered when thelocation of an intersection is being determined. In the case of the crossing road ramp terminalof a narrow diamond interchange, both problems may arise, i.e. the intersection may be bothon a high fill and adjacent to a structure, so that these intersections call for careful design.

A further restriction on the location of intersections is the distance between successiveintersections. A driver cannot reasonably be expected to utilize the decision sight distance toan intersection effectively if an intervening intersection requires his attention. The signsequence for an intersection typically includes confirmatory signs beyond the intersection andthe driver should be beyond the last of these signs before being required to give his attentionto the following intersection. A minimum spacing of 500 m between successive intersectionsis therefore recommended.

The location of an intersection may be modified by the angle of skew between the intersectingroads, i.e. the change of direction to be negotiated by a vehicle turning left off the major road.Preferably, roads should meet at, or nearly at, right angles. Angles of skew between 60° and120°, with 0° representing the direction of travel on the through road, produce only a smallreduction in visibility for drivers of passenger vehicles, which often does not warrantrealignment of the minor road. However, angles of skew between 60° and 75° should beavoided because a truck driver wishing to enter the major road at an intersection with an angleof skew between these values would find the view to his left obscured by his vehicle.Therefore, if the angle of skew of the intersection falls outside the range of 75° to 120°, theminor road should be relocated. Figure 8.1 illustrates the acceptable angles of skew.

Two possibilities for relocation may be considered. The minor road could be relocated at asingle intersection with an acceptable angle of skew, or the intersection could be staggered.These relocations are illustrated in Figure 8.1. When the staggered intersection option isselected, it should be noted that a right-left stagger (a vehicle crossing the major road will turnright from the minor road onto the major road and then left off the major road onto thecontinuation of the minor road) is preferred to a left-right stagger. The latter places the rightturn on the major road, where it can present a definite hazard to other vehicles.

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Figure 8.1: Angle of skew

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8.3 Unchannelised Intersections

8.3.1 Bellmouth Radii At most intersections, traffic needs can be catered for by the provision of unchannelisedbellmouths, and curve radii of 15 m will usually be adequate.

If the joining road is a private property access, the radii can be reduced, and radii of between10 and 12 m are acceptable. Very often in the case of private accesses, bellmouths areunsurfaced. Radii at the shoulder breakpoint would be about 7.0 m.

8.3.2 Surfacing and Delineation At intersections other than private accesses the bellmouth is surfaced, principally to preventloose material being brought onto the through road with consequent damage to the roadsurface and loss of skid resistance. This surfacing also protects the edge of the through roadfrom crumbling and potholing, and should be taken at least as far as the end of the bellmouth.

A problem frequently encountered at rural intersections is the tendency of vehicles to encroachon the shoulder while turning. Where the shoulder is unsurfaced, this causes the bitumenedges to break up and the shoulder material to ravel. Adequate delineation of the carriagewayedges by means of mountable or semi-mountable kerbing or channelling can, however,alleviate this problem to a large extent. Figure 8.2 illustrates various kerb types that can beemployed. It has been found in practice that the semi-mountable kerb shown as No 8 is aneffective delineators. Placed on edge, it can also serve as a barrier kerb.

8.4 Speed-change Lanes

A speed-change lane is an auxiliary lane, including tapered areas, intended for the accelerationand deceleration of vehicles entering or leaving the through lanes. These lanes are usedbecause undue speed changes on the travelled lanes disrupt the flow of through traffic and areoften hazardous. To preclude or minimize these undesirable aspects of operation atintersections, speed-change lanes are usually provided on roads having expresswaycharacteristics and are frequently used on other major roads as well.

8.4.1 Deceleration Lanes Deceleration lanes are always advantageous, particularly on high speed roads, because thedriver of a vehicle leaving the major road has no option but to slow down on the through-trafficlane if a deceleration lane is not provided. The failure of the following drivers to brake, possiblythrough lack of alertness, causes many rear-end collisions.

The lengths of deceleration lanes are based on a 'comfortable' deceleration rate which isapproximately half that used in the calculation of stopping sight distance. The taper rates areselected on the basis of accommodating a circular path with a radius appropriate to a two percent crossfall and the design speed of the major road. It is assumed that a vehicle will leavethe through lane at operating speed and negotiate the taper at unaltered speed, i.e. zero speeddifferential, and decelerate on the parallel portion of the lane.

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Figure 8.2: Kerb types

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Lengths of deceleration lanes for various design speeds of through roads and turning radiusare given in Table 8.1.

Table 8.1: Deceleration lane length

Deceleration lane length (including taper) (m)

Design speedof major road

(km/h)

Design speed of turning roadway (km/h) Taperrate

Stop 20 30 40 50 60 70 80

6080

100120

150200255310

140195245300

135190240295

125180230285

-165220275

-150205255

--

185240

--

165220

1:151:191:231:27

These lengths are based on level grades. On upgrades, lengths could be decreased and, ondowngrades, they should be increased. Table 8.2 offers suggested ratios between lanelengths on gradients and on level grades.

Table 8.2: Allowance for gradient

Gradient (%) Proportional change in length

-6-4-20246

1.31.21.11.00.90.90.8

8.4.2 Acceleration lanes Acceleration lanes are less useful than deceleration lanes, since entering drivers can alwayswait for an opportunity to merge without disrupting the flow of through traffic.Their principal application is on high volume roads where, at peak periods, gaps betweenvehicles are infrequent and short.

The lengths of acceleration lanes are based on acceleration at a rate of 1.5 m/s² to theoperating speed of the major road, with the merging manoeuvre taking place at operatingspeed. Acceleration also takes place on the taper, which is thus included in the overall lengthof the acceleration lane.

Lengths of acceleration lanes for various design speeds of through roads and curves are givenin Table 8.3.

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Table 8.3: Acceleration lane lengths

Acceleration lane length (including taper) (m)

Design speedof major road

(km/h)

Design speed of turning roadway (km/h) Taperrate

Stop 20 30 40 50 60 70 80

6080

100120

130230390550

130220380540

130200360520

130180340500

-150300460

-150240400

--

170330

--

170240

1:351:401:451:50

8.4.3 Right-turn LanesRight-turning vehicles tend to lower the level of service in the intersection area. Where thelevel of service is already low, i.e. where there are high volumes of traffic, a single vehiclewaiting for a gap in the opposing traffic can cause a considerable queue of following vehicles.

Where the level of service is high, i.e. where there are low volumes of traffic, the restrictiveeffect of a right-turning vehicle on traffic flow may be slight but the presence of a stationaryvehicle in a high-speed traffic stream constitutes a hazard which can be avoided.

Right-turn lanes are therefore normally provided at major rural intersections to provide fordeceleration and right turns from the major to the minor road. These lanes can thus bedesigned in accordance with the suggestions contained in Section 8.4.1.

Two possible treatments of right-turn lanes can be considered, both of which include theprovision of an additional lane. Where traffic volumes are high and speeds accordingly low,the risk of a severe accident is slight and the lane from which the right turn is made can bedesignated for both through and turning traffic. In the absence of turning traffic, the flow ofthrough traffic will benefit. Where speeds are high it is advisable to offer the turning vehiclesthe protection of an exclusive lane. The required use of the outside (left-hand) lane by throughtraffic can be indicated by mandatory arrows, possibly reinforced by a painted island.

The use of a painted island restricts the length of the right-turn lane. The location of the islandmust allow adequate storage for the number of vehicles expected to arrive in an average two-minute period in the peak hour. As a minimum requirement, space for at least two passengercars should be provided; when over 10 per cent of the traffic consists of trucks, provisionshould be made for at least one car and one truck. The two-minute waiting time is arbitrary,and some other period may be used, depending largely on the opportunities for completing theright turn. This, in turn, depends on the volume of opposing traffic.

8.5 Channelised Intersections

At-grade intersections with large paved areas, such as those with large corner radii and thoseat oblique angle crossings, permit hazardous uncontrolled vehicle movements, require longpedestrian crossings and have unused pavement area. Even at a simple intersection theremay be large areas on which some vehicles can wander from natural and expected paths.Under these circumstances it is usual to resort to channelisation of the intersection by the

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introduction of islands, bearing in mind always that islands are also hazards and that theyshould be less hazardous than what they replace.

Figure 8.3 shows a typical channelized intersection.

8.5.1 Islands Islands are included in intersection design for one or more of the following purposes:

• Separation of conflicts • Control of angle of conflict • Reduction of excessive pavement area • Regulation of traffic and indication of proper use of intersection • Arrangement to favour a predominant turning movement • Protection of pedestrians • Protection and storage of turning vehicles • Location of traffic control devices.

Islands are generally either long or triangular in shape and are situated in areas not normallyused as vehicle paths. Kerbed islands are sometimes difficult to see at night because of theglare of oncoming headlights. Painted, flush or depressed medians and islands are generallypreferred in the rural environment, with mountable or semi-mountable kerbs as a secondchoice.

Intersections with multiple turning lanes may require three or more islands to channelise thevarious movements. There is a practical limitation on the use of multiple islands. They maycause confusion leading to inadvertent entrance of a one-way lane by opposing traffic. A fewlarge islands are preferable to a greater number of smaller islands. It is suggested that anisland, to be readily visible, should have an area of not less than 5.0 m2.

The location of islands in relation to the adjacent roadways is indicated in Figure 8.4. The edgeof the island next to the through road is offset from the edge of carriageway by the width of theshoulder plus 1.0 m at the approach end, and by the width of the shoulder only at the otherend. The offset from other road edges for an unkerbed island is 0.6 m. If the island is kerbedthe offset is increased by 0.3 m, to allow for the effect that kerbing has on the lateral placementof moving vehicles.

To enhance the visibility of kerbed islands, the nose at the approach end of an island shouldhave a minimum radius of 0.6 m; while, for the other corners of an island, a minimum radiusof 0.3 m is adequate.

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Figure 8.3: Typical channelised intersection

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Figure 8.4: Channelising island

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8.5.2 Turning Roadways Turning roadways can be designed for three possible types of operation:

• Case 1 One-lane one-way with no provision for the passing of stalled vehicles. • Case 2 One-lane one-way with provision for the passing of stalled vehicles. • Case 3 Two-lane one-way operation.

Three traffic conditions must also be considered:

• Condition A Insufficient trucks in the traffic stream to influence design. • Condition B Sufficient trucks to influence design. • Condition C Sufficient semi-trailers in the traffic stream to influence design.

The lengths of turning roadways at intersections are normally short, so that design for Case 1operation is sufficient. It is reasonable to assume, even in the absence of traffic counts, thatthere will be enough trucks in the traffic stream to warrant consideration, and Condition B isnormally adopted for design purposes. Widths of turning roadway for the various cases andconditions are given in Table 8.4. The radii in the table refer to the inner edge of the pavement.

Table 8.4: Turning roadway widths

Turning roadway widths (m)

InnerRadius

(m)

Case 1 Case 2 Case 3

Condition Condition Condition

A B C A B C A B C

152030406080100150

Tang

4.04.04.03.73.73.73.73.73.7

5.55.24.94.94.94.64.64.34.0

7.96.76.46.45.25.24.94.64.3

6.15.85.85.55.55.55.25.25.2

8.88.27.67.37.06.76.76.76.4

13.411.010.48.88.27.67.37.37.0

7.97.67.67.37.37.37.07.07.0

10.710.19.49.18.88.68.48.28.0

15.212.812.210.710.19.49.19.18.2

8.5.3 Radii and Super-elevation of Turning RoadwaysThe radii of curvature for the various design speeds are given in Table 8.5.

Turning roadways at at-grade intersections are invariably short and, very often, are notpreceded by speed- change lanes. Normal super-elevation run-off is thus not possible toachieve. Cross-over crown lines at either end of the turning roadways would, however, enablea super-elevation of six per cent The minimum radii of curvature for the various design speedsas given in Table 8.5 are based on this rate of super-elevation.

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Table 8.5: Minimum radii of horizontal curvature on turning roadways

Design speed(km/h)

Radius(m)

20304050607080

15305590135190250

Where speed change lanes are provided, the super-elevation of six per cent could bedeveloped within the speed change lane itself, the axis of rotation being the edge of thethrough lane using relative slope factors given in Table 3.2.

8.6 Median Openings

The general layout of median openings at intersections is normally dictated by wheel-tracktemplates. However, median openings should not be shorter than:

• The surfaced width of the crossing road plus its shoulders. • The surfaced width of the crossing road plus 2.5 m (if kerbing is provided). • 12.4 m.

A further control on the layout of the median opening is the volume and distribution of trafficpassing through the intersection area. If the median is wide enough to accommodate them,it may be advisable to make provision for speed-change and storage lanes. The additionallanes will reduce the width of the median at the point where the opening is to be provided andthus influence the median end treatment.

There are three possible shapes of median end to be considered. These are illustrated inFigure 8.5.

The simplest is a semicircle which is adequate for medians of up to 3.0 m wide. For medianswider than 3.0 m, a bullet-nose end treatment is preferred. The bullet-nose is formed by twoportions of control radius arc and an assumed small radius, e.g. 0.6 m. The bullet-nose closelyfollows the path of the inner rear wheel of the design vehicle and results in less intersectionpavement and a shorter length of opening than the semicircular end. For wider medians, abullet-nose end requires shorter lengths of opening. Above a width of 5.0 m the minimumlengths to provide for cross-traffic, as listed above, become the controlling factor. At this stagethe bullet nose end should be replaced by a flattened bullet nose, the flat end being parallel tothe centre line of the crossing road.

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Figure 8.5: Median end treatment

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The advantages of the bullet-nose and the flattened bullet-nose over a semi-circular endtreatment are that the driver of a right-turning vehicle channelised for most of its path has abetter guide for the manoeuvre, and the elongated median is better placed to serve as a refugefor pedestrians crossing the divided road. The bullet-nose curves help to position the right-turning vehicle to turn towards the centre line of the crossing road, whereas the semi-circularcurve directs this vehicle into the opposing traffic lane of the crossing road.

8.7 Typical Intersections

In the preceding sections of this Chapter, the individual components of intersections have beendiscussed in detail. The various possible combinations of these components can be used tocreate intersections ranging from simple bell-mouths to complex layouts which includechannelisation, median islands and turning roadways with their associated active or passivetapers. It is therefore useful to consider some typical layouts and their application.

The bell-mouth has single radius curves joining the edges of the connecting roadways. Theselected radius is dependant on the selection of the design vehicle but usually would have avalue of the order of 12 m to 15 m. These intersections would be applied in the case of lowtraffic flows on both the through and the intersecting roads. Examples include privateaccesses, eg to farms.

With somewhat higher volumes on the minor road, it may be desirable to insert a central islandon the minor road. This island is essentially intended to provide a warning of the need to stopor to yield and, to this end, it should be shaped to extend across the width of the approach lane.The roadway edges are usually in the form of 3-centre curves with the radii in the ratio of 2:1:4with the central radius of the order of 12 m. This configuration is a reasonable approximationof the path of a vehicle traversing a 90° turn. As such, it not only provides guidance to thedriver of the turning vehicle but also reduces the extent of the surfaced area.

When traffic volumes are fairly high on the major road with a fair percentage of this trafficturning at the intersection, it will be necessary to make provision for a right turning lane.Islands should thus be placed on the major road to create a sheltered right turn lane whichwould allow other vehicles to pass to the left of the turning vehicle.

Figures 8.5 and 8.6 demonstrate these layouts.

A further feature is shown in Figure 8.3, being channelising triangular islands which createturning roadways as opposed to turning lanes. These islands are provided where left turningvolumes both to and from the minor road are high. They are also useful in the case where theintersection is skewed. Not only do they reduce the surfaced area, but they also provide usefulguidance to turning vehicles. In addition, the associated acceleration and deceleration lanessupport these manoeuvres well clear of the through lanes. An aspect of intersection design,illustrated in Figure 8.3, is that it is not necessary for the layout to be mirrored around thecentreline of the through road. This layout would apply to the situation of heavy movementsto and from one of the minor roads with relatively light traffic on the opposing minor leg.

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Figure 8.6: Bellmouth intersections

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9. INTERCHANGES

9.1 Introduction

An interchange is an intersection at which conflicts between different traffic movements areresolved by introducing a vertical rather than a temporal separation between them. Thecomplexity of the layout of the interchange may vary from separation of the through flows only,with turning taking place at the level of the lesser movement, to separation of all themovements.

Although certain combinations of ramp type recur so often that they have acquired names,each interchange represents a unique combination of through and turning movements. A moreeffective interchange will therefore result from consideration of the individual movements andthe traffic volumes associated with each than by selecting a layout type and forcing the variousramps to fit it. The discussion of the various types of interchange and their application formsthe major part of this chapter; different ramps and their application are also discussed. Thedetail of geometric design elements is dealt with in Chapter 10.

9.2 Warrants for Interchanges

The need to enhance speed and ease of flow could lead to the decision to limit access to agiven road, and it is this need for control of access that warrants the provision of aninterchange. The fundamental difference between a freeway and any other road is that it issubject to rigid control of access. Entrance to and exit from a freeway may take place only atspecified points, typically remote from each other, and then only at very flat angles of mergingand diverging. As such, the freeway is characterised by the fact that all intersections along itslength are interchanges.

Even if full control of access is not applied, the flow of traffic, expressed in terms of a level ofservice, can still be enhanced by an interchange. Where two expressways intersect, it may befound that traffic volumes are too high to be accommodated at an at-grade intersection,regardless of the level of sophistication of the provision made for turning movements by meansof channelization, signalization and auxiliary lanes for through traffic. Generally, if anintersection is likely to become a bottleneck, and all possibilities for improving its capacity havebeen exhausted, an interchange is warranted. In the planning of a new road under circum-stances where close spacing of heavily trafficked intersections is anticipated, it may benecessary to consider the provision of interchanges at points where the design level of servicecannot be achieved with intersections.

A further warrant for an interchange is its potential contribution to the safety of the road user.An existing intersection may be hazardous for a variety of reasons, for example, steepgradients on one or more legs of the intersection or a heavy turning movement where driversmay feel obliged to accept very small gaps.

In rolling terrain the most suitable available site for an intersection may have restricted sightdistance, or be located on a near-minimum-radius curve. Topography may also result in thenatural alignments of two intersecting routes demonstrating a large vertical separation at the

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point of their intersection. Forcing one or other of the alignments either on to a high fill or intoa deep cut would result in an undesirable intersection location as discussed in Chapter 8.

An interchange may thus be the solution to problems of capacity, road safety or topographicrestraints. As the provision of an interchange is inevitably costly, the designer should notaccept that an interchange is the best solution to a problem without exhaustive analysis of thealternatives. Such an analysis should weigh the effect of the longer travel paths of turningvehicles against reduced delay and a probable reduction in the number of accidents.

9.3 The Function of Interchanges

Interchanges are divided into two functional classes, referred to as access (or minor or service)interchanges, and systems (or major) interchanges. Access interchanges serve local areasby providing access to freeways whereas systems interchanges are the nodes of a freewaynetwork, linking the individual freeways into a cohesive unit. These two fundamentally differentapplications require different types of interchange layout.

Access interchanges are between freeways and roads on which at-grade intersections occur.Generally, the ramps at an access interchange can be regarded as surrogates for the majorhighway, with the crossing road ramp terminals functioning as major at-grade intersections onthat highway. It is possible, by judicious selection of ramp type, to favour heavy turningmovements to a greater extent than is possible with a normal at-grade intersection.

The systems interchange has ramps with free-flowing terminals at both ends, and the volumeof turning movements is high so that there is a need for high design speeds on the ramps. Allturning movements are separated, and, ideally, weaving in the interchanges is reduced to aminimum.

9.4 Interchange Types

9.4.1 Access Interchanges A frequently employed access interchange is the diamond, as shown in Figure 9.1. It has free-flowing terminals onto the freeway, and the single exit simplifies signing of the freeway. Afurther advantage is that it is economical to construct and requires less reserve space than anyother layout. The principal disadvantages of the diamond are that:

• The right turns have an adverse effect on the capacity of the crossing road. • Obtaining adequate intersection sight distance at the crossing road ramp terminals is

difficult when these are located close to the grade separation structure. • Turning traffic leaving the freeway is obliged to stop at the crossing road ramp terminal,

and inadequate storage can result in the queue of waiting vehicles extending back ontothe freeway.

• Wrong-way movements occur more easily at diamond interchanges than at any other.

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Figure 9.1: The Diamond Interchange

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A distinction is drawn between the wide and the narrow diamond interchange. The widediamond owes its origin to the fact that it was considered to be part of a phased constructionprocess, leading ultimately to the construction of a full cloverleaf interchange. In consequence,its crossing road ramp terminals are remote from the grade separation structure, whereas inthe narrow diamond the crossing road ramp terminals are close to it, with the sight distanceproblem mentioned above. In the wide diamond, the crossing road ramp terminals are locatedmore favourably in terms of sight distance and possibly also in terms of height of fill than in thenarrow diamond. Because of the greater area in the quadrants bounded by the ramps, thewide diamond has greater possibilities with regard to future expansion of the interchange tohandle increased volumes of traffic. The greater requirement for land does, however, imposeadditional expropriation costs. The other disadvantage of this diamond is that it imposes alonger travel path on right-turning vehicles. A modification of the diamond interchange is thesplit diamond, which involves the use of two crossing roads. With the turning traffic spreadacross two crossing roads, the volume of turning traffic on each is reduced, hence reducing theimpedance that they present to other vehicles.

The split diamond is, in essence, a combination of two incomplete interchanges. It is generallyconsidered good design practice to have a turning movement and its reverse flow located atthe same interchange, which precludes the possibility of a longitudinally split diamond. Afurther variation is the transposed split diamond, which generates weaving manoeuvres on thefreeway, and thus has very restricted application. A very recent innovation is the Single Pointor Urban Interchange. As its latter name suggests, its principal application is in urban areaswhere it presents two major attractions. It can handle significantly higher volumes of turningtraffic than the conventional diamond because the crossing road ramp terminals are broughttogether immediately over or under the freeway, effectively into a single intersection - hencethe name. This configuration of the ramp terminals also results in a reduction of the arealextent of the interchange which is a distinct advantage in areas where land acquisition costsare high.

The Par-Clo (PARtial CLOverleaf) interchange is a cloverleaf without its full complement ofloops. The remaining loops originally had free-flowing terminals at both ends, which produceda combination of free-flowing and stop-condition terminals within a relatively short distance onthe crossing road. The crossing road free-flowing terminals have subsequently been replacedby stop-condition terminals. Invariably, these terminals are combined with the outer connectionterminals to form conventional three-legged intersections. Although the Par-Clo owes its originto the cloverleaf interchange, the modification of the loop ramp now causes it to be more in thenature of a distorted diamond ramp.

If the traffic flow on the crossing road of the interchange is heavy and the major turningmovement from the freeway to the crossing road is to the right, use of a Par-Clo ramp will bebeneficial. The effect of the ramp is to transpose the turns so that the right turn becomes a leftturn off the ramp. This generally eases the traffic flow and improves the capacity of thecrossing road by either eliminating traffic signals altogether or reducing three signal phases totwo.

There are three generally used configurations of Par-Clo interchanges named according to thequadrants in which the loops are located. These are illustrated in Figure 9.2. The Par-Clo Ahas the loops located in ADVANCE of the grade separation structure, and the Par-Clo B hasthe loops BEYOND the structure. The Par-Clo AB has the loops on the same side of thecrossing road. A fourth possible configuration has the loops on the same side of the freeway,so that vehicles using the loops are forced to weave either on the freeway or on an adjacent

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collector-distributor road. This configuration, like the transposed split diamond, has veryrestricted application and, in practice, has never been built.

Figure 9.2: The Par-Clo Interchange

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9.4.2 Systems Interchanges In systems interchanges, turning movements are catered for by individual ramps, all of whichhave free-flowing terminals at both ends. The layout of these interchanges is invariablycomplex, involving a substantial area and possibly more than one structure.

The cloverleaf owes its characteristic layout to the provision of an outer connection for eachleft turn and a loop for each right turn, as shown in Figure 9.3. This layout has only onestructure but requires considerable space. The principal disadvantage of the cloverleaf is thatall right-turning traffic is required to weave. In the conventional cloverleaf, this manoeuvretakes place on the freeway, thus disrupting the smooth flow of through traffic. If the loopscommence and terminate on collector-distributor roads located alongside the carriageway, thesituation is improved because the frictional effect on the through traffic is eliminated, and theweaving traffic can carry out this manoeuvre unhindered by through traffic on the outside laneof the freeway.

The directional interchange provides all the right turns with semi-directional ramps. Theseramps can be restricted to crossing at a common point, as illustrated in the four-levelinterchange shown in Figure 9.4. Removing one of the levels makes another four structuresnecessary, as in the three-level interchange also illustrated in Figure 9.4. The two typesdiscussed above can be considered extreme cases, i.e. all right turns on loops or all right turnson semi-directional ramps. Between these two extremes are layouts where one or more of theright turns is provided with a loop and the rest with semi-directional ramps. This has the effectof eliminating one or more structures and can thus be used with advantage when traffic on oneof the right turns is relatively light.

When two loops are used in a systems interchange, one of the freeways may have both loopsto one side and weaving will take place, as previously discussed. Generally, loops are locatedin diagonally opposite quadrants. Interchanges with this layout are referred to as 'directionalinterchanges' with a reference to the number of loops included in the layout, e.g. DirectionalInterchange with one Loop.

9.4.3 Three-legged Interchanges The discussion of access and systems interchanges has so far been limited to four-leggedinterchanges. A freeway terminating at its intersection with another would, however, give riseto a three-legged systems interchange. Likewise, access to a local area on only one side ofa freeway would require a three-legged access interchange. In this case, it is oftenadvantageous to allow for development of the area on the other side of the freeway byconstructing a four-legged interchange in the first instance.

Left turns take place on outer connections and right turns are provided with either loops orsemi-directional ramps. It is not customary to provide both right turns with loops, as thesewould give rise to weaving on the through road. The combinations employed are usually onesemi- directional ramp and one loop, or two semi-directional ramps.

The combination of semi-directional ramp and loop is referred to as a Trumpet (or Jughandle)interchange. The heavier of the right turns would normally be favoured by placing it on thesemi-directional ramp, so that two configurations are possible: the Trumpet-A and the Trumpet-B. As in the case of the Par-Clo interchange, the suffix indicates whether the loop is inadvance of or beyond the grade separation structure. These forms of three-leggedinterchanges are illustrated in Figure 9.5. If both right turns are on semi-directional ramps, thethird layout shown in Figure 9.5 results.

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Figure 9.3: Cloverleaf Interchanges

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Figure 9.4: Directional Interchanges

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Figure 9.5: Three-legged Interchanges

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9.5 Ramps and Their Application

9.5.1 Ramp Types There are three basic ramp types, one for left turns and the others for turns to the right.

The outer connection is shown in Figure 9.6 and is provided for left-turning vehicles. Thediamond ramp is a modification of the outer connection, the only difference between the twobeing that the outer connection commences and terminates under free-flowing conditions,whereas the diamond ramp begins with a free-flowing terminal and ends with a stop-conditionterminal. This makes it possible to accommodate right turns at a diamond ramp.

Two possible ramp configurations shown in Figure 9.7 can be considered for a right turn.Where traffic conditions are light a loop ramp is often employed. Turning vehicles are requiredto negotiate a 270° change of direction at relatively low speeds, but the loop has the advantagethat it does not require an additional structure, although it invariably requires lengthening ofthe main structure. Loops commence and terminate under free-flowing conditions.

Replacement of the free-flowing end terminal with a stop condition terminal makes it possibleto accommodate left turns (from the freeway to the crossing road) on the loop. Under thesecircumstances the loop ramp is often referred to as a Par-Clo ramp. The Par-Clo ramp canbe used as a substitute for a diamond ramp where topographic restraints or thedevelopment of the surrounding area would prohibit construction of a diamond ramp, or makeit more expensive than the alternative.

The low travel speeds on a loop cause it to have a low capacity, which is not improved byadding a lane. If the right turn involves a high traffic volume, a more directional ramp can beused with advantage. Purely directional ramps would have the disadvantage that turning trafficdiverges from and merges with through traffic from the right, whereas these lanes are intendedfor fast-flowing through traffic. For this reason (amongst others) directional ramps have beenabandoned. The semi-directional ramp, where traffic departs from and joins through trafficfrom the left, is now general practice, because this is more consistent with drivers' expectationsregarding turns at interchanges and leads to smoother operation. Signposting of theinterchange, which is a major factor in the ease of operation at interchanges, is also vastlysimplified.

9.5.2 Ramp Terminals There are two types of terminal that can be employed as part of a ramp: the free-flowingterminal and the stop-condition terminal.

The term free-flowing implies that the terminal is negotiated at more or less the speedprevailing on the through road. Traffic on the terminals thus diverges from or merges withtraffic on the through road at very flat angles, so that the terminal consists of either a simpletaper or a combination of taper and parallel lane. The parallel lane configuration forces areverse curve path on vehicles negotiating the terminal, and is therefore not favoured. It can,however, usefully be applied where a ramp has to be lengthened to allow for acceleration ordeceleration such as, for example, on a steep grade and where this length cannot be providedby any other means.

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Figure 9.6: Ramp types for left turns

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Figure 9.7: Ramp types for right turns

Major forks, where two routes of roughly equal importance diverge, and merges are also free-flowing terminals. The principal difference between these and other free-flowing terminals isthat the design of the former is based on auxiliary lanes, as required by lane balance(discussed in Section 9.6) rather than on the provision of tapers.

The discussion of at-grade intersections in Chapter 8 also applies to stop-condition terminals.The only variation to be found in these terminals is their location, which may be either remotefrom the grade separation structure or close to it. Individual terminals may vary from a simple

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bellmouth to a complex signalized channelized intersection, depending on the relationshipbetween the turning movements at the intersection and their magnitude. The commondenominator amongst stop-condition terminals is that the ramps are designed for one-wayoperation. Effectively, thus, what would appear to be a four-legged intersection operates morein the nature of two three-legged intersections positioned back-to-back.

9.6 Lane Balance

If a lane were to have an off-ramp as its only destination, a driver in that lane would have nochoice but to exit from the freeway, whether or not this was his intention. The lanes shouldreflect the various options permitted at the interchange by branching off where vehiclesdiverge. In a two-lane exit, the outside lane has to continue along the off-ramp with the secondlane branching off. Proper signing is called for to ensure that the driver is aware of the fact thatthe outside lane is being discontinued.

It would be easier for the entering driver not to have to merge with high-speed traffic on thefreeway, but it is clearly impractical to add a further lane to the freeway at every on-ramp; thedriver has no option but to merge, and this is reflected in the merging of the on-ramp with theoutside lane. At a two-lane entrance the outside lane is added to the total number of lanes onthe freeway, and the second lane merges with the outside lane of the freeway.

Lane balance gives the driver the option of continuing along the freeway or leaving it withouthaving to change lanes to achieve his object.

Allied to the concept of lane balance is continuity of the basic number of lanes on the freeway.It is possible that the volume of traffic exiting from the freeway at a particular interchange maybe sufficiently high to warrant discontinuing a lane beyond the off-ramp and that the volume ofentering traffic at the same interchange may also be sufficiently high to require the addition ofa lane beyond the on-ramp. The short length of freeway between the ramp terminals wouldthus have one lane fewer than the freeway on either side of the interchange. In practice, theprediction of the volumes turning to given destinations along the freeway and the assignmentof this traffic to specific interchanges cannot match the degree of precision required to add anddrop lanes over short distances. Furthermore, this does not allow for the possibility that a givenexit from the freeway may be closed by an accident, for maintenance, or because of somecircumstance off the freeway. All the traffic that would normally have exited at that point wouldtherefore have to travel to the next exit under circumstances of extreme congestion.Continuity of the basic number of lanes over a reasonable length of the freeway contributes toease of operation on the freeway and affords the driver flexibility in the selection of routes tohis chosen destination.

Figure 9.8 illustrates the application of lane balance and continuity of the basic number of lanesat interchanges.

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Figure 9.8: Lane balance and continuity

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9.7 Weaving

Weaving involves two flows of vehicles crossing one another at a flat angle. The section ofroad on which this is accomplished is referred to as a weaving section. In its simplest form, theweaving section consists of two lanes that merge to form one lane and then diverge to form twolanes again. This form of weaving section is found between the loops of a cloverleafinterchange, and the traffic flows involved comprise two inner or crossing flows, and one outeror through flow. More often, the weaving section includes two outer flows in addition to the twoinner flows. Both of these weaving sections are referred to as simple weaves, becausevehicles correctly positioned to carry out the weaving manoeuvre do not change lanes, lanebalance ensuring that the required operations are merging followed by diverging. Successiveclosely spaced entrances and exits may, however, require a lane change to be incorporatedinto the weaving process. Under these circumstances the process is termed compound ormultiple weaving.

In previous sections it has been suggested that weaving should be avoided if at all possible.This does not imply that weaving should be avoided at all costs. The alternative to allowingweaving is to provide the crossing traffic flows with a grade separation, but this is noteconomically justifiable if the flow volumes are light. If the distance required to effect a gradeseparation is not available, there may be no alternative to a weaving section.

9.8 Minimum Spacing of Interchanges

In the previous chapter, reference was frequently made to the adverse effect of weaving on theoperation of an interchange. Weaving can have an equally adverse effect on the operation ofthe freeway, when traffic entering the freeway at one interchange is required to weave withtraffic wishing to exit at the next interchange. Successive interchanges should therefore notbe so closely spaced that weaving causes the level of service on the freeway to drop to anunacceptable level. There are two main factors to be considered in determination of theminimum acceptable spacing of interchanges.

The effective use of an interchange is determined in part by the clarity of its signposting, sincethe driver, particularly a driver unfamiliar with the area, must be given adequate advancewarning of the location of exits to specific destinations. Typically, the sign sequence shouldbegin with a Pre-Advance Sign mounted 2.0 km in advance of the exit and end with aConfirmation Sign (depending on the distance to the next interchange), mounted about 750 mbeyond the entrance. The signing will be equally effective if the Confirmation Sign is replacedby a Pre-Advance Sign to the next interchange.

When locating two consecutive interchanges, the designer should consider the distancerequired to eliminate weaving between them and the distance required for effective signing,taking the greater of these two as the minimum acceptable distance between the interchanges.As a very rough guide, a distance of about 5.0 km would normally be the minimum acceptablespacing between successive interchanges on rural freeways.

Where a rural area is more intensively developed, the spacing of successive interchanges maybe forced to less than the 5.0 km suggested above. Under these circumstances a distance of2.4 km could be considered the absolute minimum for successive access interchanges. Theminimum spacing between an access interchange and a systems interchange should not be

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less than 3.6 km. As these distances are measured from intersecting road to intersecting road,it is clear that weaving between interchanges and the effective signing of the freeway will bothrequire very careful consideration.

Rest areas and their location have an impact on signing requirements. This is expressed asthe minimum distance between edge-line breakpoints, these being the far ends of the tapersof on- and off-ramps of successive interchanges or accesses to rest areas.

A distinction is drawn between two access conditions, being:

• Condition 1: Where the rest area has access directly to the freeway. • Condition 2: Where access is to the crossing road of the interchange.

Three alternative cases are also considered. These refer to the other element that has to beconsidered in the sign sequence between it and the rest area in question. They are:

• Case 1: The other element is an interchange with a major road as its crossing road. • Case 2: The other element is an interchange with a minor road as its crossing road. • Case 3: The other element is another rest area with direct access to the freeway.

Finally, the location of the other element, namely whether it is upstream or downstream of therest area, also has a bearing on the sign sequence employed and on the correspondingminimum spacing between it and the rest area.

The relevant minimum distances are given in Table 9.1. It is stressed that these distances aremeasured between edge-line breakpoints.

Table 9.1: Minimum spacing between rest areas and adjacent interchanges

Condition Case Location ofinterchange

1 2 3

1 2 340 m1 590 m

1 440 m1 590 m

1 440 m1 440 m

DownstreamUpstream

2 2 490 m 1 700 m

1 590 m1 700 m

1 590 m1 550 m

DownstreamUpstream

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10. INTERCHANGE DESIGN

10.1 Introduction

In the previous chapter, warrants for the provision of interchanges were discussed. Varioustypical interchange layouts were illustrated and the components of interchanges weredescribed. Finally, planning principles appropriate to interchanges were also dealt with.

This chapter addresses the detailed design of the various components of interchanges. Suggestions are offered with regard to the dimensions of these components and guidelines areproposed for the selection of the design speeds of ramps and, hence, for their horizontal andvertical alignment.

10.2 Ramp Design Speed

The design speed of a ramp should be related to the design speed of the through andintersecting roads, and should preferably not be less than the operating speed of the throughroad. Ramp design speed can, however, gradually be reduced to half that of the through roadunder restricted circumstances.

In general, a design speed of 40 km/h is adequate for loops as the advantages of a higherdesign speed will very often be nullified by the additional distance of travel resulting from thecorrespondingly larger radii required. As the free-flowing ramp terminal is designed to thespeed of the through road, it may be necessary to achieve the minimum radius bycompounding it with larger radii as discussed in Section 10.4.

A semi-directional layout is selected for a given ramp when a high volume of turning traffic isexpected. Free-flowing terminals at both ends of the ramp will accommodate traffic enteringand leaving the ramp at speeds close to the operating speeds of the through and intersectingroads. A low design speed on the mid-section of the ramp will clearly have a restrictive effecton the capacity of the ramp and is therefore not acceptable. The minimum design speed of asemi- directional ramp should not be less than the speed suggested in Table 10.1.

Table 10.1: Design speed of semi-directional ramps

Through road(km/h)

Ramp(km/h)

6080100120

60708090

Direct connections, such as the outer connectors of a cloverleaf interchange, should also bedesigned for the speeds suggested in the table.

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Diamond ramps always, and Par-Clo ramps usually, have a free-flowing terminal at one endand a stop-condition terminal at the other. The free-flowing terminal and the section of rampimmediately following should have a design speed equivalent to the operating speed of thethrough road, and the design speed should not be less than 80 km/h. After that the designspeed may become progressively lower, but must be at least 40 km/h at the stop-conditionterminal. As in the case of the loop, the Par-Clo ramp may also have a minimum radiusappropriate to a design speed of 40 km/h.

10.3 Decision Sight Distance

In Subsection 2.5.3 it was stated that, under certain circumstances, it may be necessary for thedriver to be able to see the road surface for a given distance ahead measured from an eyeheight of 1.05 m. Free-flowing terminals are examples of the need for decision sight distance.Stop-condition terminals often have more than one lane, even though the major portion of theramp may consist of a single lane only, and these lanes may be allocated specifically to oneor another of the turning movements carried out at the terminal. It is essential for the driver tobe able to see the road markings indicating this lane allocation. The decision sight distancefor a ramp is based on the normal stopping sight distance given in Figure 2.4, but measuredto an object height of 0.0 m rather than 0.15 m.

10.4 Horizontal Curvature on Ramps

The minimum radii of curvature given in Table 3.1 are calculated from the maximum rate ofsuper-elevation and the maximum allowable side friction factor appropriate to the design speedselected. The fact that the curve is located on a ramp does not constitute grounds for themodification of the calculation. The radii given in the table referred to are repeated inTable 10.2 for convenience. The restricted circumstances prevailing on a ramp may, however,provide an insufficient distance for the development of maximum super-elevation. Thedesigner would then have to select a curve of larger radius to match the extent of super-elevation development available to him.

Table 10.2: Minimum radii of horizontal curvature on ramps

Design speed(km/h)

Radius(m)

2030405060708090100110120

10255080110160210270350430530

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It is generally accepted that changes in design speed should not be too marked, so that thesechanges should occur in increments not exceeding 10 km/h. The two lowest speeds inTable 10.2 apply to the design of stop-condition terminals, and the others to the design of theramp itself.

The ratio between succeeding radii is generally about 1:1.5. When a compound curve ofabove-minimum radii is being determined, this ratio can be employed to advantage. Driversare reluctant to brake sharply on a curve, and deceleration along a compound curve would takeplace under conditions of no, or at most gentle, braking. The successive curves forming thecompound curve should thus each be long enough to allow the driver to match his speed tothat judged appropriate to the following section of curve without sharp braking. This conditionis achieved if the length of the arc is approximately a third of its radius.

10.5 Super-elevation on Ramps

The selection of a super-elevation rate of 10 per cent as the maximum for open road conditionsis based on the likelihood of there being vehicles in the traffic stream that will be travelling atspeeds considerably different from the design speed. As ramp design speeds are lower thanthose on the through and intersecting roads of an interchange, it is reasonable to expect thatvehicle speeds on ramps will more closely match the selected design speed, so that higherrates of super-elevation can be adopted. Higher rates of super-elevation would, however,require greater lengths for super-elevation development and, because the necessary lengthwould probably not be available, the maximum rate of 10 per cent is also applied to ramps.

The rates of super-elevation applied to curves of more than the minimum radius, as shown inFigure 3.6, are based on a maximum rate of 10 per cent, and can thus be applied to rampcurvature.

The development of super-elevation on a ramp takes into account the comfort of the occupantsof a vehicle traversing the ramp. Under the less restricted circumstances of the open road thelength of development can be extended to enhance the appearance of the curve. It is conveni-ent to express the rate of development in terms of the change in super-elevation rate per unitlength, as shown in Table 10.3. Grade line levels are usually calculated at 20 m intervals and,for convenience, the table has been extended to include the rates of change over this distance.

Table 10.3: Rate of super-elevation development

Design speed(km/h)

Rate of change per m(%)

Rate of change per 20 m(%)

405060708090100

0.1950.1850.1750.1650.1550.1450.135

3.93.73.53.33.12.92.7

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10.6 Crossover Crown

A crossover crown line is a longitudinal line at which an instantaneous change of slope acrossthe pavement occurs. The only difference between this and the normal crown of the road isthat it may occur at any position across the pavement other than the centre of the road. Theprincipal application of the crossover crown is at ramp tapers, where it can be used to beginthe super-elevation of the first ramp curve earlier than would otherwise be the case. Thecrossover crown may pose a problem to the driver, particularly of a vehicle with a high load,because the vehicle will sway as it crosses over the crown line, and, in extreme cases, may bedifficult to control. For this reason, maximum algebraic differences in slope on either side ofthe crossover crown line are suggested. These are given in Table 10.4.

Table 10.4: Maximum change in slope across cross-over crown line

Design speed(km/h)

Algebraic difference in slope(%)

20 and 3040 and 50

60 and over

5 to 85 to 64 to 5

10.7 Vertical Alignment of Ramps

10.7.1 GradientsHaving the crossing road of the interchange passing over the through road not only improvesthe target value of the interchange, but is also advantageous in terms of the vertical alignmentof the ramps. The off-ramp will climb to the crossing road, reducing the distance required forstopping, and the on-ramp will drop to the through road, making it easier for the driver toaccelerate to the speed prevailing on the through road. In addition, the driver on the on-rampwill be better placed to observe the oncoming flow of traffic on the through road. A decisionto have the crossing road over the through road will, however, have to include considerationof the restrictive effect that the bridge may impose on abnormal loads and the restraints placedon the vertical alignment of the two roads by the topography of the area and local conditions.

Under the above circumstances, a steep ramp is to be preferred, provided that the gradienton the ramp does not exceed eight per cent. In the vicinity of the stop-condition terminal, amaximum gradient of three per cent should be applied, as suggested in Section 8.2. If the off-ramp has a downgrade and the on-ramp an upgrade, the gradients suggested may still beused, but allowance should then be made for the greater distances required for accelerationand deceleration.

10.7.2 Vertical CurvesAs was stated, in Subsection 2.5.3, it is essential that the driver be able to see the roadmarkings on the ramp. The suggested sight distance on ramps should be the normal stoppingsight distance, but measured from an eye height of 1.05 m to the road surface. The verticalcurvature required for this is given in Table 10.5.

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Table 10.5: Minimum values of k for vertical curves on ramps

Design speed(km/h)

Crest curves Sag curves

405060708090100110120

122030436387114154210

121825324151627591

The minimum length of vertical curvature suggested for a ramp is based purely on aesthetics.However, very often it will not be possible to achieve the minima suggested in Table 4.2.Lower values are proposed and are given in Table 10.6, based on a length in metres equal to0.6 of the design speed in kilometres per hour, rounded off to the nearest 10 m.

Table 10.6: Minimum lengths of vertical curves on ramps

Design speed(km/h)

Length of curve(m)

406080100120

3040to6080

10.8 Ramp Cross-section

If a stalled vehicle blocks an off-ramp, the line of stopped vehicles will soon extend back to thefreeway creating a hazardous situation and also affecting the quality of traffic flow on thefreeway. The blocking of an on-ramp will lead to the blocking of the stop-condition terminal,impeding the flow of traffic along the crossing road. An overall ramp width of 8.0 m, comprisingtwo shoulders 2.0 m wide and a lane 4.0 m wide, would be adequate for this situation and alsoallow for future conversion of the single lane into two narrower lanes.

The basic lane width quoted above refers to tangent sections of ramp. The widths given inTable 8.5 for turning roadways for Case 1, Traffic Condition B, can be used on curved sectionsof the ramp, on the assumption that there would be sufficient trucks in the traffic stream toaffect the selection of lane width. The availability of the surfaced shoulders for the passing ofstopped vehicles makes it unnecessary to provide for passing within the width of the lane.

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10.9 Ramp Terminals

Bellmouths are used in the design of the terminal where the ramp joins the intersecting roadand traffic enters the intersecting road at angles near to 90°. Tapers are used for vehiclesentering or exiting from the through road at flat angles. The ramp terminal of the intersectingroad should be designed in accordance with the guidelines given in Chapter 8. Through roadramp terminals are discussed below.

The spacing of successive terminals should be such that the manoeuvres carried out by adriver entering at one terminal are not hampered by vehicles entering at the next terminaldownstream. The distance between an entrance and the following exit should allow forweaving between the two terminals. An exit followed by another exit does not cause anydriving problems, and if this were the only criterion, successive exits could be closely spaced.It is necessary however, for the driver to be able to differentiate clearly between thedestinations served by two successive exits, and adequate space should be allowed foreffective signing. A distance of 300 m between successive terminals is adequate for terminalslocated on the freeway itself. If successive terminals are on a collector-distributor road, or onthe ramps of a systems interchange, the distance between terminals can be reduced to 240 m.If the ramps on which successive terminals occur form part of an access interchange, thedistance between terminals can be further reduced to 180 m. The distances suggestedcorrespond to decision sight distance for the different design speeds that are likely to apply tothe various circumstances.

Two types of free-flowing ramp terminal are discussed in Chapter 9, namely the parallelterminal and the taper. The parallel terminal involves a combination of a taper with a lengthof auxiliary lane and is used when, because of steep gradients, an additional length is requiredfor either acceleration or deceleration and when the necessary distance cannot be obtainedby other means. The length of the auxiliary lane would normally be 600 to 1 000 m. Theseauxiliary lanes could also be introduced for the purpose of achieving lane balance at a terminal.The distance of 600 m corresponds to a travel time of 20 seconds, which is double the reactiontime required for complex decisions.

Two different criteria apply to the selection of taper rate, depending on whether the ramp is anexit or an entrance. If the ramp is an exit, the only task required of the driver is to negotiate achange of direction without encroaching on either the adjacent lane or the shoulder. It iscustomary to indicate the start of the taper clearly by introducing it as an instantaneous changeof direction rather than as a gentle curve. If a crossover crown is not used, the crossfall acrossthe taper will be the same as that on the through lane, i.e. two per cent. This corresponds tothe super-elevation applied to a curve of radius 2 500 m to 3 000 m at a speed of 100 km/h.A vehicle can be contained within the width of travelled way available to it while negotiating acurve of this radius if the taper rate is in the region of 1:15. Higher design speeds and hencehigher operating speeds require flatter tapers, whereas lower design speeds would make itpossible to consider sharper tapers. At an entrance taper, in addition to negotiating a changeof direction, the driver must merge with through traffic in the outside lane of the through road.A rate of convergence of about 1:50 provides an adequate merging length. Tapers that canbe used for single and two-lane entrances and exits are illustrated in Figures 10.1 to 10.4. Thedimensions shown on these figures are also appropriate for major forks and merges. The maindifference between forks, merges and ramps is that the first two are a continuation of throughroads. In the case of forks and merges, through road speeds would be used in design and therestriction on exiting or entering from the right would not apply.

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Figure 10.1: Single-lane entrance

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Figure 10.2: Single-lane exit

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Figure 10.3: Two-lane entrance (with one lane added)

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Figure 10.4: Two-lane exit (with one lane dropped)

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11. PEDESTRIANS AND PEDAL CYCLISTS

11.1 Introduction

Research has indicated that moderate to heavy pedestrian and pedal cycle traffic andconcentrations of accidents are experienced along some surfaced rural roads, especially in thefollowing areas: in the proximity of towns, in densely populated rural areas (e.g. at schools, busstops, shops and housing next to the roadway), at mines and mining compounds, industrialplants, agricultural depots, irrigation schemes, etc. Usually, no specific provision is made forpedestrians and pedal cyclists at these places - pedestrians are entirely dependent on the roadshoulder when walking to bus stops; or from one place to another. The conditions under whichpedestrian and pedal cyclist facilities should be provided are set out in this chapter.

11.2 Footways

Warrants for the provision of footways depend on the vehicle-pedestrian hazard, which isgoverned mainly by the volumes of pedestrian and vehicular traffic, their relative timing and thespeed of vehicular traffic. Paved footways are warranted once the minimum conditionsspecified in Table 11.1 have been met.

Table 11.1: Warrants for pedestrian footways

Location offootway

Average dailytraffic

Pedestrian flow per day

Design speed orlimit of 60 - 80 km/h

Design speed orlimit of 80 - 120 km/h

One side only400 to 1 400

> 1 400300200

200120

Both sides 700 to 1 400> 1 400

1 000600

600400

To ensure that they are used for the purpose intended, footways should have all-weathersurfaces, otherwise pedestrians will choose to walk on the carriageway. Footways should havea minimum width of 1.0 m in rural areas and 1.5 m in peri-urban areas, and should be situatedat least 3.0 m from the travelled way in level terrain. Footways along the reserve boundary arenot popular with pedestrians but may in some circumstances be preferable. When footwaysare to be provided in rolling or mountainous landscape through cuttings and fills, they may besituated adjacent to the roadway. In such cases, however, special provision should be madeto protect pedestrians. This could be by means of premix kerb or guardrails. The protectionoffered against high speed vehicles by kerbs is problematical.

In cases where footways are not warranted but a large number of pedestrians walk alongsidethe road, the road shoulder should be upgraded to cater for them. The minimum width of theseshoulders should be 3.0 m and they should be graded and compacted regularly to providepedestrians with a hard surface to walk on. Paved shoulders, 1.5 m wide should be provided

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in high rainfall areas. Road shoulders should also be well drained to prevent water fromaccumulating on them, otherwise pedestrians would be forced to walk on the carriageway.Where sections of the road shoulder are paved, special care must be taken to ensure that thewater outlets are lower than the road surface.

When a road is realigned or reconstructed, part of the old road surface could be retained asa walkway for pedestrians or as a cycle lane. Where a footway is located on a sharp bend,consideration should be given to the erection of guardrails between the back of the shoulderand the footway.

11.3 Bridges

On routes with footways the footways should be continued across any bridges and, if footwaysare likely to be provided along the route in the foreseeable future, footways should also beprovided on the bridges. The minimum width of the footway on the bridge structure should be1.2 m. Where necessary, footways should be diverted as soon as is practicable beyond thebridge approach fills or cuts from the back of the shoulder to a position of at least 3.0 m fromthe travelled way. On long bridges or on bridges that are intended to carry large numbers ofschool children a separate walkway should be provided. On existing or new bridges, lightaluminium structures can also be used to provide a separate walkway when warranted.

Care should be taken to ensure that the approach footways provide safe and relatively directaccess to the footway on the bridge. This may require the erection of barriers to channelizepedestrians onto the bridge. A flush roadway shoulder should never terminate in a raisedfootway on a bridge. Where such installations exist and their removal is not economicallyjustifiable, the ends of the footway should be protected by a guardrail or by a 20:1 transitionprovided between the raised footway and the shoulder.

11.4 Bus Stops

Pedestrian accidents often occur at bus stops because buses stop too close to the road edge,obstructing drivers’ view of pedestrians crossing the road.

The layout of a bus stop consists of three elements:

• A deceleration lane or taper to permit easy entrance to the loading area;. • A bus bay with holding area far enough from the roadway edge to eliminate sight

distance problems. • A merging area to allow re-entry to the road.

Typical layouts showing the minimum requirements for gravel and surfaced bus bay layoutsare shown in Figure 11.1. On roads with an average daily traffic exceeding 1 500 vehicles, busbays should be surfaced. Deceleration lanes should be tapered at a flat angle of not less than1:5 (preferably 1:10) and, on high speed roads, 1:15 to allow buses to pull off the through lanecompletely. The yellow edge line should be replaced with a broken yellow line where the busleaves or re-enters the carriageway.

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Figure 11.1: Typical bus bay layout

Bus bays should be at least 3.5 m wide and should be placed adjacent to the paved or gravelshoulder so that buses can stop clear of the roadway. The length of a bus bay in rural areasshould be not less than 15 m. Where multiple bus bays are provided - such as in a peri-urbanarea - the length of the individual bays should not be less than 15 m. On heavily traffickedroads, a channelizing island 1.0 m wide may be provided along the road edge line to direct bus

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drivers to stop clear of the road shoulder. A hardened area for passengers should be providedparallel to the bus bay in the ratio of 5.0 m for every 10 persons at peak hour.

The merging taper could be somewhat more abrupt than the deceleration taper, but should notbe sharper than 3:1.

11.5 Refuge Islands

Refuge islands can be used to help pedestrians to cross wide or busy roads. They allowpedestrians to cross one direction of traffic flow at a time without affecting traffic capacity.

Pedestrian accidents often occur at bus stops, shops, schools etc. along rural roads. Theprovision of pedestrian crossings on high-speed roads is not usually practicable unless specialprecautions are taken to safeguard these by means of jiggle bars and other measures. Inmountainous areas or in rolling topography, restricted sight distance does not always allowpedestrians enough time to cross the road safely. In such areas, if the minimum sightdistances for pedestrians crossing rural roads shown in Table 11.2 cannot be attained, refugeislands should be provided. In problem areas, properly designed refuge islands are considereda safe alternative. Where these are used, pedestrian risk is reduced by 50 per cent.

Table 11.2: Pedestrian sight distances

Pedestrian sight distances (m)

Design speed orlimit (km/h)

Road cross-section

Two lanes Three lanes Four lanes

60708090100110120

85100115130140155170

130150170190215235255

170200230255285310340

On new or reconstructed roads, refuge islands should be at least 1.5 m wide (preferably 2.0 m)and may take the form either of raised islands or of painted refuges. If raised, the sides shouldbe semi-mountable. Painted refuges, however, should be safeguarded with protective concretestrips such as jiggle bars or the like. In addition, the approaches to the refuge island shouldbe tapered and clearly demarcated with the necessary road signs and markings. The roadmarkings together with reflectorised road studs should channelise vehicular traffic away fromthe refuge island. A "Keep left" sign should also be displayed prominently to safeguard drivers.

11.6 Footbridges and Subways

Considerations to be taken into account in the provision of grade-separated crossings overfreeways are:

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• The persistent tendency of pedestrians to cross the freeway at-grade at specific points. • The distance from other freeway crossing facilities. • Pedestrian-related accidents on freeways. • Physical characteristics, e.g. topography, which facilitate convenient crossing facilities.

The widths of footbridges and subways should be in the range of 2.1 to 3.0 m. For longsubways without artificial lighting or where natural light can not be allowed in through a centralopening (by means of a break in the median for instance) the dimensions in Table 11.3 mayserve as a guide. Subways should be so designed that the pedestrian can see from one endto the other and therefore feel a sense of security. The minimum clearance required for foot-bridges above road surface is 5.2 m.

Table 11.3: Recommended minimum subway dimensions

Length of subway(m)

Width(m)

Height(m)

< 1414 to 24

>24

2.12.43.0

2.12.43.0

Whenever possible, the access to a foot-bridge or subway should be in line with the normalwalking path. If the access to the crossing requires pedestrians to diverge from their path, itlengthens the walking distance and prolongs the crossing time. These factors increase theprobability of pedestrians being discouraged from using the crossing. Pedestrians should beencouraged to make use of refuge islands, footbridges or subways by means of physicaldevices such as barriers in cases where the facility has to deviate from the normal walkingpath.

11.7 Lighting

If pedestrian casualties occur frequently at night alongside roads in peri-urban and rural areas,the provision of lighting should be considered. On the road shoulders the luminance shouldbe at least 50 per cent of that of the carriageway surface.

11.8 Cycle Lanes

On roads carrying between 20 and 70 pedal cyclists during any one hour of the day, a cyclelane should be provided on a paved shoulder. As the road shoulder is then being used as acycle lane, it becomes a traffic lane and should therefore be appropriately marked. If a hardgravel shoulder is provided next to the cycle lane, a cycle lane width of 1.2 m would suffice but,for a soft shoulder or drop-off, a 1.5 m wide cycle lane is recommended.

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11.9 Speed Zoning

In rural or peri-urban areas where, during any four hours of an average day, more than 200pedestrians cross a road with a central median within a distance of 150 m, a local speed limitshould be set at 80 km/h; on roads without a central median the speed limit should be 70 km/h.In areas where large numbers of pedestrians or pedal cyclists use the road shoulder or cyclelane, the speed limit should be set at 80 km/h.