1

Module 1 : Shear and Moment Diagrams for a

FrameDr Yan ZhugeDr Yan Zhuge

CIVCIVE3011E3011 Structural Structural AnalysisAnalysis

2

Introduction - Frames

• Frames are often used in buildings and are composed of beams and columns that are either pin or fixed connected.

• Frame members are subjected to axial, shear and moment loadings.

• The strength of rigid joint connection frame is derived from the moment interactions between the beams and the columns at the joints.

3

Simple Frames

pitched flat

4

Procedure for analysis

• Determine the reactions at the frame supports.

• Find the axial force, shear force and moment acting at the ends of each member.

• Draw shear force and moment diagrams for each member.

5

Example 2 - FrameDraw the shear and moment diagrams for the frame. Assume A is a pin, and C is a roller.

6

Example 3 – FrameDraw the shear and moment diagrams for the frame. Assume A is a pin, C is a roller and B is a fixed joint.

7

Example 3 - Frame

8

Example 4 – Three pin Frames6m 3m 3m

12kN4kN/m

8m

A

BC D

E

F 10.25kN

19.667kN7.667kN

21.75kN

9

Example 4 – Three pin Frames12kN

A

BC

DE

F

10.25kN

19.667kN7.667kN

21.75kN 10.25kN

A

46kNm

59.16kNm

82kNm

23kNm