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AASHTOWare BrD 6.8 Substructure Tutorial Pier 3 Frame Pier Example

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Page 1: Substructure Tutorial - AASHTOWare Bridge

AASHTOWare BrD 6.8

Substructure Tutorial Pier 3 – Frame Pier Example

Page 2: Substructure Tutorial - AASHTOWare Bridge

Pier 3 – Frame Pier Example

Last Modified: 8/3/2016 1

Sta 0+00.00

Ahead Sta

CL Brgs CL Brgs

Sta 2+60.00

BL SR 456

CL Pier

Sta 1+30.00

(Pier Ref. Point)

Bridge Layout

CL Brgs

Exp Exp

CL Brgs

Abut 1

CL Brgs

Abut 2

CL Pier 1

Span Arrangement

Fix

CL Brgs

Pier 1

130'-0" 130'-0"

260'-0"

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51'-0"

18'-9"

5'-3"

17'-7"

3'-9"

9'-0"

EL 76.00

EL 50.00

Groundline EL 54.50

Pier Elevation

Looking Sta Ahead

3'-0"

1'-8"

6'-9"

CL Column1 CL Column2 CL Column3

18'-9" 6'-9"

5'-3"

3'-0" Dia. Column

(Typ)

25'-9"

Superstructure Definition

Reference Line

3'-3" 3'-3"9'-0" 9'-0" 9'-0" 9'-0"

51'-6"

BL SR 456

9'-0"

(Typ)

3'-4"

17'-7"

12'-0"

3'-0"

Pier Side View

3'-0"

1'-8"

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2'-6"1'-6"

Cap Plan View

3'-4"

3'-0" 5 @ 9'-0" = 45'-0" 3'-0"

Sta

Ahead

BL SR 456CL Pier

Sta 1+30.83

(Pier Ref Point)

G1 G2 G3 G4 G5

CL PierPier Long Axis

Pier Trans Axis

G6

CL Brgs

25'-6"

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Section A-A

2" clr

(Typ)#5 Stirrups

2 rows of 5 - #9 bars

2 rows of 6 - #10 bars1 ½" clr

(Typ)

Section B-B

8 - #10 bars

2" clr

(Typ)

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BrD Substructure Training

Pier 3 – Frame Pier Example – Topic 1

This topic is the first of four in a series describing the entry and analysis of a reinforced concrete multi-column

frame pier in BrD Substructure. In this example, a two span continuous steel superstructure is supported by a 3

column frame pier.

Example features:

Reinforced concrete, three column frame pier, spread footings

Pier skew – 0 degrees

Specification checking of reinforcement

Items covered in this series:

Topic 1:

BrD Substructure Capabilities

Locating Substructure Units

Topic 2:

Bridge Data Related to Piers

Pier Alternatives

Pier Geometry

Pier Reinforcement

Pier 3D Schematic

Validating a Pier Alternative

Topic 3:

Superstructure Loads

Superstructure Environmental Loads

Substructure Loads

Load Calculation Reports

Topic 4:

BrD Substructure Toolbar

Finite Element Model

Pier Analysis

Specification Checks

Footing Analysis

Tabular Results

Viewing Results in 3D Schematic

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Additional Reports

Note: It is assumed that users are familiar with the BrD Superstructure module and as such this example does not go

into detail describing BrD Superstructure windows or bridge workspace navigation.

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BrD Substructure Capabilities

The BrD Substructure module currently has the capability to describe the pier gross geometry and reinforcement,

compute loads acting on the pier, perform a finite element analysis of the pier, compute the load combination results

and perform specification checks for the reinforcement. Four types of reinforced concrete pier alternatives can be

described: solid shaft (hammerhead) piers, frame piers, wall piers and pile bent piers.

A three-dimensional schematic is available where you can view a to-scale drawing of your pier alternative. BrD can

compute the loads acting on the pier for you or you can enter your own override forces. Superstructure dead load

and live load reactions are computed for you based on the superstructure definition assigned to the superstructure

supported by the pier. BrD generates a three-dimensional finite element model of the pier based on modeling

parameters you input. A finite element analysis of the pier is performed and load combination results are generated

based on the limit states you choose to include. The analysis results can be viewed in a text output and also be

viewed on the three-dimensional schematic of the pier. Detailed specification check results can be viewed and

summary reports of the specification results can be generated.

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Locating Substructure Units

In BrD, substructures are defined relative to bridge alternatives and the superstructures in a bridge alternative.

Through this arrangement, loads from the superstructure can be carried down to the substructures.

Our example has the following bridge layout:

Sta 0+00.00

Ahead Sta

CL Brgs CL Brgs

Sta 2+60.00

BL SR 456

CL Pier

Sta 1+30.00

(Pier Ref. Point)

Bridge Layout

CL Brgs

We are going to describe this bridge alternative and pier in BrD Substructure by adding a bridge alternative to the

bridge with BID 20 in our sample database.

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Open the bridge workspace for BID 20. As shown below, this bridge already contains several superstructure

definitions and bridge alternatives. We are going to re-use the superstructure definitions and create a new bridge

alternative and a new pier in this example.

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Open the Bridge window for this bridge:

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We do not have to change any data on the Description tab. Switch to the Global Reference Point tab.

This tab contains an “X” and “Y” coordinate field for the bridge global reference point. This data could be used to

describe the state plane coordinates for the bridge. When we view the Pier window later in our example, we will see

that BrD computes the coordinates for the pier based on this bridge global reference point. We are going to leave

the X and Y coordinates as zero in our example. Click Cancel to close the Bridge window.

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We are going to jump down to the Bridge Alternatives section and create a new bridge alternative. Double click the

“BRIDGE ALTERNATIVES” label and enter the following information.

The data on this tab orients the bridge alternative reference line. Our substructure units will be located with respect

to this bridge alternative reference line. Our bridge alternative is 261.67 feet long and the starting station is 0+00.

The default bearing of N 90^ 0’ 0” E is acceptable for our example. The Global Positioning data orients the bridge

alternative reference line with respect to the bridge global reference point. We can leave this data blank in our

example since our bridge alternative is not offset to the bridge global reference point.

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Sta 0+00.00

Ahead Sta

CL Brgs CL Brgs

Sta 2+60.00

BL SR 456

CL Pier

Sta 1+30.00

(Pier Ref. Point)

Bridge Alternative Reference Line

CL Brgs

Bridge Global

Ref. Point

Bridge Alt. Ref. Line

Switch to the Substructures tab and enter the following information to locate the abutments and piers. The

substructure units are located by entering the location of the substructure unit reference point relative to the bridge

alternative reference line. The substructure unit reference point is the point where the superstructure reference line

intersects the pier longitudinal axis or centerline of bearing at an abutment. You can specify the location of

abutments in BrD Substructure but you cannot currently describe the geometry of the abutments.

Click F1 while the

Substructures tab is active to

open the BrD help file which

contains examples for

locating substructure units.

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Click OK. The bridge workspace appears as follows:

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Double click the SUPERSTRUCTURES label to create a new superstructure. Enter the following information to

describe the first superstructure in this bridge alternative.

Our superstructure is located at the start of the bridge alternative reference line so we do not need to enter any data

for the reference line distance or offset. Enter the span length of the superstructure and select the substructure

supports. Click OK to close the window and save the data to memory.

Sta 0+00.00

Ahead Sta

CL Brgs

Abut 1

CL Brgs

Abut 2

Sta 2+60.00

BL SR 456

CL Pier

Sta 1+30.00

(Pier Ref. Point)

Superstructure Layout

CL Brgs

Bridge Global

Ref. Point

Superstructure

Ref. Line

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Double click the SUPERSTRUCTURE ALTERNATIVES label under Superstructure to create a new superstructure

alternative. It is important to assign a superstructure definition to our alternative so BrD will know what

superstructure definitions are carried by the pier. Enter the following data and click OK.

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The bridge workspace appears as follows:

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Pier 3 – Frame Pier Example – Topic 2

This topic is the second of four in a series describing the entry and analysis of a reinforced concrete multi-column

frame pier in BrD Substructure. In this example, a two span continuous steel superstructure is supported by a 3

column frame pier.

Example features:

Reinforced concrete, three column frame pier, spread footings

Pier skew – 0 degrees

Specification checking of reinforcement

Items covered in this series:

Topic 1:

BrD Substructure Capabilities

Locating Substructure Units

Topic 2:

Bridge Data Related to Piers

Pier Alternatives

Pier Geometry

Pier Reinforcement

Pier 3D Schematic

Validating a Pier Alternative

Topic 3:

Superstructure Loads

Superstructure Environmental Loads

Substructure Loads

Load Calculation Reports

Topic 4:

BrD Substructure Toolbar

Finite Element Model

Pier Analysis

Specification Checks

Footing Analysis

Tabular Results

Viewing Results in 3D Schematic

Additional Reports

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Note: You must complete Topic 1 in the series before you can enter this topic. It is assumed that users are familiar

with the BrD Superstructure module and as such this example does not go into detail describing BrD Superstructure

windows or bridge workspace navigation.

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Bridge Data Related to Piers

Our bridge already contains the following materials. We are going to use the existing “Class A (US)” concrete and

Grade 60 reinforcing steel in our pier alternative so we do not need to add any other materials.

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The next window in the bridge workspace that is new for BrD Substructure is the LRFD Multiple Presence Factors

window. This window displays the multiple presence factors from AASHTO LRFD Table 3.6.1.1.2-1. These

factors will be used when BrD Substructure combines multiple loaded lanes. We are not going to adjust these

factors so click Cancel to close the window.

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The next Substructure window in the bridge workspace tree is the LRFD Substructure Design Settings window.

LRFD Substructure Design Settings contain a set of LRFD factors, limit states to be included in the analysis and

vehicles to be used in the analysis. BrD Substructure uses these design settings when you analyze a pier.

BrD has system default LRFD Substructure Design Settings as specified on the System Defaults window in the

Configuration Browser shown below.

We are going to use these default design settings in our example.

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The following windows show the Preliminary Design Setting in the Library.

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The Design Setting Type is “Preliminary”. This corresponds to the design mode set on the BrD Substructure

Toolbar shown below. You can use this design mode to specify whether you are in preliminary design or final

design and then the appropriate design setting is used during your pier analysis. This selection can help minimize

the time of your pier analysis.

The limit states belonging to the selected factor are displayed. When the pier is analyzed with this design setting

only the Strength-I limit state load combinations will be computed. This can save significant time in your analysis

when you are in the preliminary pier geometry sizing stage.

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The vehicles to be used in the analysis are shown on the Vehicles tab.

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The Substructure Loading tab allows you to describe how the vehicle single lane reactions are applied to the

substructure. If the axle load P is entered as zero, the entire single lane reaction will be applied to the deck as a

uniform load spread over the lane width. If a value other than zero is entered, the single lane reaction applied to the

deck will contain two concentrated loads each equal to P/2 at the wheel locations within the lane width and the

remainder of the single lane reaction will be applied as a uniform load spread over the lane width. Click Close to

close this window.

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The next Substructure window is the Environmental Conditions window shown below.

This window lists the environmental conditions acting on the bridge. The wind pressure values on the Wind tab

default to values from the AASHTO LRFD Specifications.

Specify the surface

conditions for your bridge.

All other data on this tab

defaults to the AASHTO

specs.

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The temperature ranges on the Temperature tab default to those in AASHTO LRFD Table 3.12.2.1-1. Enter the

setting temperature and select the climate type as shown below.

Specify the setting

temperature and climate for

your bridge. All other data

on this tab defaults to the

AASHTO specs.

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The Stream tab allows you to enter data describing the stream flow for this bridge. The stream drag coefficient

values default to those in AASHTO LRFD Table 3.7.3.2-1 and 3.7.3.2-2. We are not going to consider any stream

flow this example.

Click OK to close the window.

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The next Substructure window is the Design Parameters window shown below. This window lets you specify how

superstructure loads are distributed to the substructures.

Check the consider vertical reactions checkbox if you want BrD Substructure to consider the vertical reactions on

the superstructure due to the induced moment about the superstructure longitudinal axis caused by transverse forces

acting on the superstructure as shown below. Refer to the BrD help topic for this window for more information.

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S2

Transverse Force

h

V1V2 V3

V4CG of girders

S4

S3

G1

G4G3

G2

S

S1 = 0

We are now ready to start describing the pier. Open the Stiffness Analysis window shown below.

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The Stiffness Analysis window lets you describe the bearing data at each substructure unit in your bridge alternative.

This bearing data can be used by BrD to compute the length of loaded superstructure applied to each substructure

unit.

Enter the data shown above.

The Bearing Data (Cont’d) tab lets you enter the coefficient of friction for sliding bearings so BrD can compute the

friction forces on the pier for you. Since our bridge has elastomeric bearings, the coefficient of friction is not

entered for our bearings.

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The Relative Stiffness tab allows you to specify how longitudinal superstructure loads are distributed to the

substructure units. Click the “Compute…” button to have BrD compute the loaded superstructure lengths to apply

to our pier. You will get a message asking if you want to first apply your changes to the Bearing Data tab. Click

Yes to that message.

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Open the Pier window and enter the following data.

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Pier Alternatives

We are now ready to create our frame pier alternative. Double click the PIER ALTERNATIVES label and the

following New Pier Alternative Wizard will open.

Select the frame pier and click Next.

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Enter a name for the pier alternative, change the number of columns to 3 and click Finish to close the wizard and

create the new pier alternative.

You cannot switch between

combined/independent footings once

you have made a selection here. You

will have to create a new pier

alternative to change the footing type.

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The Pier Alternative window will automatically open.

If you wanted to override the default design setting with your own design setting you would do it here.

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The Stiffness tab computes information about the stiffness of the pier to assist you in determining the type of

structural analysis required. Since we have not entered any of the pier geometry yet, BrD cannot compute the

slenderness ratio and the Compute button is disabled. Click the Ok button to close this window. Do NOT click the

Cancel button as that will cause the creation of the new pier alternative to be canceled.

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The bridge workspace under Pier Alternative is shown below.

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The Default Materials window allows you to select materials that will be used as default selections for the pier

components.

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Pier Geometry

We can now start entering the geometry of our pier. Open the following Geometry window.

This window allows you to define some basic pier geometry. The following items should be noted about the

geometry windows in BrD Substructure:

The window is NOT drawn to scale.

Only the values in blue font can be edited.

If a pier component, such as the cap or column, does not have any geometry defined yet, that component is

drawn with a dashed red line.

A right click menu is available for each pier component, such as the cap or a column, which you can use to

navigate to the component or geometry window for that component.

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In this window, the location of the pier beneath the superstructure is set in this window by entering the distance from

the superstructure reference line to the left end of the cap or wall. This is a very important dimension to input

correctly since a bad value could result in your girders not being supported by the pier. Since our pier supports two

independent superstructures, we are locating the left edge of the cap based on the ahead span superstructure. Enter

the following data and click the OK button.

We are locating the

left edge of the pier cap

based on the ahead span

superstructure.

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Open the Cap window and enter the following data.

The loads from the superstructure will be applied at the bearing seat elevations specified on this tab.

The Additional Loads tab allows you to define additional, user defined loads on the cap. Our example does not

contain any additional loads on the cap. Click the OK button to close the window and save the data to memory.

Use CTRL-C to copy the value in

a cell and then use SHIFT-INSERT to

paste it into another cell.

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Expand the bridge workspace tree under the Cap label and open the Components window. Select the following type

of cap cantilever component for both the left and right cantilevers.

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Now open the Cap Geometry window and enter the following cap geometry data.

Click OK to close the window.

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Open the Reinforcement window and enter the following data.

Enter the following data to describe the shear reinforcement for the left half of the pier cap.

The #3 bar is a

deliberate mistake that

we will come back to fix.

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To enter the shear reinforcement for the right half of the cap, select each row and then click the “Dup & Mirror”

button. The following shows the completed shear reinforcement.

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Open the Column window for Column1 and enter the Exposure Factor.

If you leave the Exposure Factor

blank BrD will use a default value

equal to 1.0 in the spec checks.

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The Column Components window is shown below. This window allows you to specify the cross-section segments

in the column. Segment cross-sections can vary linearly over their height. In our example, the cross-section is

constant over its height.

BrD assumes the column cross section type is round when you create a new column. Since our pier has round

columns, this assumption is correct. Click OK to close this window.

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Open the Column Geometry window and enter the following column geometry data.

Click OK to close the window.

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Double click the Reinforcement Definitions label to create a new reinforcement definition for the column. The

reinforcement definition will be later assigned to ranges over the height of the column. Click the “Generate Pattern”

button to use the pattern wizard to create a pattern of reinforcement. Enter the following data and click the “Apply”

button. The clear cover measured to the face of the flexural reinforcement is 2” cover to face of spiral plus ½” for

the spiral diameter.

The following bar locations are generated for this pattern.

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Our column reinforcement is going to extend down into the footing so we will next create a Foundation Alternative

and then come back to assign this pattern to the column. Otherwise we will get a Validation message that the

column rebar does not fit inside the footing.

Double click the FOUNDATION ALTERNATIVES label and the New Foundation Alternatives wizard will open.

Select the spread footing and click Next.

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Enter the following description of the foundation.

Click Finish and the Foundation Properties window will open. Enter the Exposure Factor.

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Enter the rock factored bearing resistance and click the OK button. Do not click the Cancel button as that will cause

the creation of the new foundation alternative to be canceled.

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Open the Foundation Geometry window.

There is no additional data to enter so click the OK button.

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Enter the following reinforcement for the footing.

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Now go back to the Column Reinforcement window for Column 1 and assign the reinforcement pattern as follows.

Define the following shear reinforcement in the column. The stirrups extend into the footing and cap as they would

be detailed on the design drawings but BrD will not consider the shear reinforcement in the footing or cap when

performing specification checks.

The negative start distance is used because the

rebars extend into the footing.

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Now we can finish describing Columns 2 and 3. Define the geometry for Column 2 and 3 as shown below.

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Let’s now copy the footing from Column 1 and paste it to Columns 2 and 3 using the right-click menu. The Copy

function is shown below. Paste the footing in the same manner.

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Now we can copy the reinforcement definition from Column 1 to Columns 2 and 3 and then assign that

reinforcement definition to the columns. Don’t forget to define shear reinforcement for those columns as well. The

windows for Column 2 are shown below. Enter the same data for Column 3.

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Our bridge workspace tree appears as follows.

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Now that we have defined our pier geometry, we can re-open the Pier Alternative: Stiffness tab and evaluate the

slenderness of our pier.

BrD computes the KL/r ratios for the pier longitudinal and transverse axes based on the pier alternative geometry

we’ve input. We can independently evaluate these KL/r ratios in accordance with AASHTO LRFD Article 5.7.4.3

to determine if the first order elastic analysis performed by BrD is satisfactory for this pier.

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Pier 3D Schematic

We can now view the 3D schematic of the pier alternative. Select the name of our pier alternative in the bridge

workspace tree. The 3D schematic can then be accessed by the “3D” button on the BrD Substructure toolbar shown

below.

This 3D schematic is a to-scale drawing of the pier alternative. This schematic view has a lot of useful features like

rotating, scaling, and dimensioning. Select F1 to open the BrD help topic for this window to review the features

available in this schematic window.

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Select the Properties toolbar button to open a window where you can select what features to display in the 3D

Schematic. The above schematic was created by selecting to display the gross geometry dimensions and elevations

on the View Properties: Dimensions tab.

It’s a good idea to view

the Isometric View in the

schematic to be sure that your

girders are sitting on your

pier.

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Validating a Pier Alternative

Another useful feature is to validate your pier alternative once you have the geometry defined. This will alert you to

any missing or incorrect data in your pier description. You can access the validation feature from the right-click

menu available when your pier alternative is selected in the bridge workspace tree.

This opens a window which contains warnings and errors if your pier alternative description is in error or missing

data.

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BrD lets you control if Validation should be performed before any FE analysis or spec check is performed.

Validating prior to the analysis or spec check may help you identify missing data prior to the analysis. You can turn

off this Validation from occurring when you do a pier analysis or spec check by unchecking the box on the

peferences: Analysis tab shown below.

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Pier 3 – Frame Pier Example – Topic 3

This topic is the third of four in a series describing the entry and analysis of a reinforced concrete multi-column

frame pier in BrD Substructure. In this example, a two span continuous steel superstructure is supported by a 3

column frame pier.

Example features:

Reinforced concrete, three column frame pier, spread footings

Pier skew – 0 degrees

Specification checking of reinforcement

Items covered in this series:

Topic 1:

BrD Substructure Capabilities

Locating Substructure Units

Topic 2:

Bridge Data Related to Piers

Pier Alternatives

Pier Geometry

Pier Reinforcement

Pier 3D Schematic

Validating a Pier Alternative

Topic 3:

Superstructure Loads

Superstructure Environmental Loads

Substructure Loads

Load Calculation Reports

Topic 4:

BrD Substructure Toolbar

Finite Element Model

Pier Analysis

Viewing Results in 3D Schematic

Specification Checks

Footing Analysis

Tabular Results

Additional Reports

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Note: You must complete Topics 1 and 2 in the series before you can enter this topic. It is assumed that users are

familiar with the BrD Superstructure module and as such this example does not go into detail describing BrD

Superstructure windows or bridge workspace navigation.

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Superstructure Loads

We are now ready to describe the loads acting on the pier. The first thing to review is the following axis convention

that is used for the superstructure and pier axes.

Superstructure reference line

Pier Skew Angle

NegativePositive

Superstructure longitudinal axis

Superstructure transverse axis

Pier transverse axis

Pier longitudinal axis

Stations Ahead

Ahead SpanBack Span

Open the Superstructure Loads window.

Please note that you do not have to open any of

these Load windows to do a pier analysis or spec

check. We are going to review each Load window

as part of this training exercise but you can always

initiate a pier analysis and spec check directly from

the toolbar without ever opening these Load

windows. BrD will compute the loads for you as part

of the analysis and spec check.

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The first thing you will see is the following dialog.

BrD computes some of the superstructure loads on the pier for you when the Superstructure Loads window is

opened. This dialog lists details about how BrD computes the loads and may contain warning and error messages.

This dialog always appears after BrD computes any loads for you. Click OK to close this window.

The Superstructure Loads window now appears as shown below.

If you try to open one of the Load

windows before you define the pier

geometry, you will get error messages

that the geometry needs to be defined.

The Load window will open but data

will be missing.

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The Compute DL Reactions button will launch a batch superstructure analysis. Similar to BrD Superstructure, the

DOS window will appear for each superstructure member that is analyzed. BrD Substructure will then compute the

friction forces if the pier contains sliding bearings. The computed dead load reactions will be displayed in this

window and the computed friction forces will be displayed on the FR tab. Our bridge has elastomeric bearings so

the friction forces are not computed in this example.

You have the option to enter your own user-defined override values for the loads if you do not want to use the loads

computed by BrD. You must check the box “Use override values” for these override values to be used in the pier

finite element analysis.

You must check “Use

override values” if you want

your user-defined loads to be

used in the pier finite element

analysis.

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The friction loads would be displayed on the FR tab shown below if our bridge had sliding bearings.

The “Override” button opens a dialog where you can enter user-defined override values for the friction loads.

Remember, these values will only be used in the pier finite element analysis if you have the “Use override values”

box checked on this window.

The “Calcs” button will open a report in your internet browser detailing the calculations BrD performed to compute

the friction forces.

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The LL Settings tab allows you to specify loading constraints for the transverse live load analysis.

Each transverse live load position is a load case in the finite element analysis. The data you enter on this tab can

greatly affect the time required for analysis. If you have a wide travelway and small values for the vehicle

increment and lane increment, the analysis will take a longer time than if you had larger values for the vehicle and

lane increment. Likewise, checking the box to move the vehicles from right to left across the travelway will double

the number of live load cases in the pier finite element analysis. If scan for controlling load positions is not checked,

the analysis will check all of the live load positions you defined. If you select user defined lanes as live loading type

you will be able to create your own load patterns at the bottom. We will create our own load patterns in this

example.

The settings on this tab

greatly affect the time

required for a pier analysis.

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51'-0"

18'-9"

5'-3"

6'-9"

CL Column1 CL Column2 CL Column3

18'-9" 6'-9"

5'-3"

3'-3" 3'-3"9'-0" 9'-0" 9'-0" 9'-0" 9'-0"

10'-0"

10'-0"

9.375'

10'-0"

Load Pattern 1

Load Pattern 2

Load Pattern 3

10'-0"10'-0"Load Pattern 4

10'-0"10'-0"Load Pattern 5

10'-0"10'-0" 10'-0"Load Pattern 6

10'-0"10'-0" 10'-0"10'-0"Load Pattern 7

Center of

loads for cap

positive

moments

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The following load patterns and vehicle positions were determined using engineering judgment.

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The “Compute LL Reactions” button will initiate a longitudinal live load analysis of the superstructure carried by

the pier and also compute the braking forces acting on the pier.

The vehicles used in the analysis are dependent on both the Design Mode selected on the BrD Substructure Toolbar

and the LRFD Substructure Design Settings chosen on the Pier Alternative: Description window.

This longitudinal live load analysis computes the single lane reaction for each vehicle. The “Calcs” button opens

your internet browser and displays a report of the single lane reactions computed by BrD.

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The LL-Distribution tab allows you to view the BrD computed live load reactions distributed for a pier analysis or

enter your own user defined distributed live load reactions.

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The braking force tab BR is shown below.

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Superstructure Environmental Loads

Open the Superstructure Environmental Loads window as shown below.

The top of the screen displays values computed by BrD that are used to compute the wind on superstructure loads on

the pier and in some cases lets you override some of this data. The bottom of the screen displays loads on the

superstructure members for wind blowing from left to right. You will get a chance to specify which direction the

wind should blow in the actual pier finite element analysis in the Load Combination Settings window we will visit

later.

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The overturning wind on superstructure load window is shown below.

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The wind on live load tab is shown below.

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The superstructure temperature load tab is shown below.

BrD does not compute the superstructure temperature load for you. You must enter your own values for these loads.

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The superstructure shrinkage tab is shown below.

BrD does not compute the superstructure shrinkage load for you. You must enter your own values for these loads.

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Substructure Loads

The Substructure Loads window is shown below.

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The substructure temperature and shrinkage tab is shown below.

Click OK to close the window.

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Load Calculation Reports

If we select the name of our pier alternative in the bridge workspace tree and then select “Bridge/Output” from the

command menu, the following window will appear. This window contains a listing of the output files BrD created

when it computed the pier loads for you. It also contains a list of the file containing reinforcement development

length calculations that were performed. These development lengths were computed when an internal model of the

pier was generated for the computations in the load windows.

You can double-click the name of a load file and the file will open in your internet browser or your text editor.

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Pier 3 – Frame Pier Example – Topic 4

This topic is the fourth of four in a series describing the entry and analysis of a reinforced concrete multi-column

frame pier in BrD Substructure. In this example, a two span continuous steel superstructure is supported by a 3

column frame pier.

Example features:

Reinforced concrete, three column frame pier, spread footings

Pier skew – 0 degrees

Specification checking of reinforcement

Items covered in this series:

Topic 1:

BrD Substructure Capabilities

Locating Substructure Units

Topic 2:

Bridge Data Related to Piers

Pier Alternatives

Pier Geometry

Pier Reinforcement

Pier 3D Schematic

Validating a Pier Alternative

Topic 3:

Superstructure Loads

Superstructure Environmental Loads

Substructure Loads

Load Calculation Reports

Topic 4:

BrD Substructure Toolbar

Finite Element Model

Pier Analysis

Specification Checks

Footing Analysis

Tabular Results

Viewing Results in 3D Schematic

Additional Reports

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Note: You must complete Topics 1, 2 and 3 in the series before you can enter this topic. It is assumed that users are

familiar with the BrD Superstructure module and as such this example does not go into detail describing BrD

Superstructure windows or bridge workspace navigation.

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BrD Substructure Toolbar

The following toolbar is available in BrD Substructure.

A. Design Mode. Specify the design mode as either Preliminary or Final. This determines which LRFD

Substructure Design Settings are used in the pier analysis based on the design settings chosen on the Pier

Alternative: Description tab.

B. Pier Alternative 3D Schematic. Open the pier alternative 3D schematic for viewing the pier alternative.

Active only when the pier alternative is selected in the bridge workspace tree.

C. Model Settings. Opens the Model Settings window where you can specify the parameters for BrD to use

when it generates the FE model of the pier alternative. Active only when the pier alternative is selected in

the bridge workspace tree.

D. Load Combination Settings. Open the Load Combination Settings window where you can specify how to

crate the load combinations for a pier FE analysis. Active only when the pier alternative is selected in the

bridge workspace tree.

E. Load Palette. Opens the Load Palette window where you can specify which load types to include in the

pier FE analysis. Active only when the pier alternative is selected in the bridge workspace tree.

F. Analyze. Initiates the finite element analysis of the pier alternative. Active only when the pier alternative is

selected in the bridge workspace tree.

G. Spec Check. Initiates the spec check of the pier alternative. If finite element results do not exist, BrD will

first perform the FE analysis and then do the spec check. Active only when the pier alternative is selected

in the bridge workspace tree.

H. Tabular Results. Opens the Tabular Results window where you can create a report of the results of the pier

FE analysis. Active only when the pier alternative is selected in the bridge workspace tree.

I. Spec Check Detail. Opens the Specification Checks window where you can view detailed spec check

results at each analysis point. Active only when the pier alternative is selected in the bridge workspace tree

and specification check results exist.

J. Spec Check Filter. Allows you to filter the spec check results shown in the Specification Checks window

based on limit states, spec articles, etc. Active only when the Specification Checks window is active.

K. Graphs.

L. Soil Plot: this window shows the p-y, t-z and q-w soil plots for each layer in the selected foundation

alternative.

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Finite Element Model

We are now ready to create our finite element model and analyze our pier.

Select the name of the pier alternative in the bridge workspace tree and select “Generate Model” on the right-click

menu or the “Generate Model” button on the BrD Substructure toolbar.

The Model Settings window will appear. This window lets you define the parameters BrD will use to generate the

finite element model of the pier.

Increase the number of elements in the cap as shown above so that we get spec check results at the middle of the

interior cap spans. For components whose cross section properties vary over the length of the component,

increasing the number of elements will result in a closer match between the finite element model properties and the

actual pier properties as shown below.

Hit F1 while this window

is open to access the Opis

help file which contains a

link to the Opis Substructure

Model Generation User

Manual which contains a

detailed description of how

Opis generates the FE model.

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i

j

k

Cross-sectional

properties for member

are computed from

geometry at middle of

member

k

k

Actual Column Approximated Column

i

j

k

The Points of Interest tab allows you to define additional nodes in the pier finite element model in addition to the

default nodes generated by BrD Substructure. Add a point of interest 5 feet from the bottom of Column1 as shown

below.

You do not have to create a point of interest at the locations where rebar is

developed. Opis will automatically perform spec checks at those locations.

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The Member Releases tab allows you to define member releases in the finite element model of the pier alternative.

Adding a member release on this window creates a node at that location with the corresponding releases. We are not

adding any member releases to our model.

Click Apply to apply the data on this window to memory. Then click the “Generate Model” button to generate the

FE model. Click Yes to the message asking if you want to apply the data you just changed. Then click OK to close

the window.

These member releases

are in the local member

coordinate system.

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We can now open the pier alternative 3D schematic and view the FE model generated by BrD. Select the Properties

toolbar button on the 3D schematic.

Select the following settings to turn on display of the FE model in the schematic. Also select “Nodes” on the Labels

tab to include the node numbers in the schematic.

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Click OK and the 3D schematic appears as follows.

Turn off display of the

Solid Model if you want to

view the FE Model. The Wire

Frame may also need turned off

for viewing round columns.

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Notice node 41 in Column1. This is the point of interest we added 5’ above the bottom of the column.

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Pier Analysis

We are now going to select the loads to be included in our analysis. Open the Load Combination Settings window

from the right-click menu for the pier alternative or from the BrD Substructure toolbar.

This window allows you to specify the load conditions to be considered when BrD performs the pier analysis. We

will use the following default selections.

It’s ok to keep the water levels turned

on even if your pier is not subject to all of

the water levels. The water levels will be

ignored if your pier is not subject to them.

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Another window that allows you to specify the load types to be included in the pier analysis is the Load Palette

window. This window can be accessed by selecting the name of the pier alternative in the bridge workspace tree

and clicking the Load Palette in the BrD Substructure toolbar.

The Load Palette can be very useful when you want to evaluate individual load types on the pier and when you want

to minimize the time required for analysis.

If you do not check the “Use” box for a load type, that load type will not be included in the pier analysis nor in the

load combinations computed by BrD. Results for limit states that contain that load type will still be computed but

the loading for that load type will be missing.

It is ok to keep the “Use” box checked for load types that do not apply to your pier. They will be ignored if they do

not apply to your pier.

If you uncheck a

load type, the load

combinations for the

limit states containing

that load type will still

be computed but that

load type will have

zero loading.

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Specification Checking

Now that we have our loads selected, we can analyze our pier and do a spec check.

Select “Spec Check” from the toolbar.

The Validation window will appear to alert you to any missing data. Click the Continue button to continue with the

spec check.

The Substructure Analysis Progress dialog will open as shown below. The FE analysis of the pier will occur first

followed by the specification check of the pier.

Review this log

file for errors and

warnings.

If the FE analysis results do not exist on your hard drive when you select to do a Spec

Check, Opis will perform the FE analysis automatically. The next time you want to do a Spec

Check, Opis will use the existing FE analysis results. This allows you to quickly fine tune

your reinforcement and geometry without re-doing the FE analysis every time. Once you find

reinforcement and geometry that satisfies the spec checks you can do a final FE analysis and

spec check.

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We can view a summary report of the spec checks by opening the following file.

This file contains a summary of the results of each spec check along with the design ratios for each spec article at

each spec check location point. The design ratio is the ratio of the capacity to demand. A design ratio less than one

indicates the demand is greater than the capacity and the spec article fails. A design ratio equal to 99.0 indicates the

section is subject to zero demand.

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The specification checks can be viewed by selecting the “Spec Check Detail” button.

BrD performs spec checks at each node in the finite element model along with locations where the reinforcement is

developed and at a distance dv from the face of each column.

Open the spec check detail window for the flexural resistance at the center of the first interior span of the cap at

16.13’.

The following is noted for this window, other spec articles are similar:

1. For each spec check location, both the left and right sides of the point are evaluated.The design ratio is

printed out for the article. The design ratio is the ratio of capacity to demand. A design ratio less than one

indicates the demand is greater than the capacity and the spec article fails. A design ratio equal to 99.0

indicates the section is subject to zero demand.

2. The user has control over which limit states are investigated. For our example we are using the Preliminary

Design Mode and the default Preliminary Design Setting only contains the Strength-I limit state. For each

limit state, the max and min force effect is checked. Thus each limit state shows two rows of data.

3. The LL load combination is shown in this column. If the location is not at a node in the FE model (eg, the

node is at a point where the rebar is fully developed), this column will list two load combinations separated

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by a comma. The first load combination is the combination considered at the left end and the second load

combination is the combination considered at the right end of the FE element that contains this location.

The resulting load displayed is a linear interpolation between the two displayed load cases.

The critical design ratio for positive moment at this point is 0.67 which is less than 1.0 so the spec check fails. Let’s

go back to the Cap Reinforcement window and revise the cap reinforcement from a #3 bar to a #9 bar. Click OK to

close the window.

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Now click the Spec Check button on the toolbar. The spec check will be performed again using the existing FE

analysis results.

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Open the Spec Check Details window again and see that the spec check now passes for the positive moment at this

point.

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Footing Analysis

BrD Substructure has the ability to analyze both individual and combined footings. Both spread and pile footings are

supported. Specification checks at the critical locations in the footing are then performed.

The footing analysis and spec check occurs when the Spec Check is performed on the pier. BrD determines the

forces in the footing using the bottom of column forces from the finite element analysis along with the soil and

footing loads.

The following file containing the footing calculations is available after the spec check is performed.

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Tabular Results

We can view the results in a tabular form by selecting “View Results” from the right-click menu when the pier

alternative is selected or by selecting the Substructure Tabular Results button on the toolbar. The following window

will open.

This window allows you to create summary reports of analysis output data for the pier finite element analysis and

save these report definitions for future use.

Select “New” to create a new report definition. The first tab lets you select the FE model information to include in

the report.

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The Loads tab lets you select how the FE analysis output (reactions, displacements, element forces) is organized in

the report. Selecting the Limit States filter will let you pick which limit states output you want included in the

report. Selecting the Load Cases filter will let you pick which individual load cases output you want included in the

report. Selecting the Load Combinations filter will let you pick which individual load combinations output are

included in the report.

Select the Load Cases filter and then select Load Case 1. This results in a report that will contain the reactions,

displacements and forces for only this Load Case 1.

The Reactions, Displacements, Forces, and Envelope tabs lets you specify if you want these actions included in the

report. The actions will be output for the loadings specified on the Loads tab.

The Spec Check Results tabs allow you to select the spec check items to include in the report.

The Options tab lets you specify formatting and output options for the report.

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If we wanted to save the settings on these tabs as a report definition that we can re-use in the future, we could select

the “Save As” button. This would save the settings on these tabs as a report definition file. It would not save the FE

analysis output report for this pier.

Select the Generate button to view the FE analysis output report for this pier in your internet browser. An xml file

containing the data for this report is created and given the name “New Tabular Report.xml”. This file is located in

the subdirectory for this pier which was created under the directory where BrD Substructure is installed. This file is

overwritten each time you select the Generate button. You can rename this file to something else in Windows

Explorer if you want to save these results.

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Viewing Results in 3D Schematic

We can now view the analysis results on the 3D schematic. Open the 3D schematic and set the view properties to

display the FE model as we did previously. Then select the “Results” toolbar button.

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Make the following selections to plot the shear along the local y axis of the members. Refer to the sketch below for

the member local axes directions.

Click the Apply button.

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Superstructure Longitudinal Axis

Pier Longitudinal Axis

Pier Transverse Axis

Superstructure Transverse Axis

Substructure Unit Reference Point

Superstructure Reference Line

L

V

T

Global Pier

Coordinate System

Sta

Ahead

x

y

z

i j

Reference Point Node

x

y

zi

j

Reference Point Node

x

zy

Reference

Point Node

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Access the right-click menu inside the schematic view and select “Hover”. This will turn on the display of values in

the 3D schematic as you hover over the actions.

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Additional Reports

If we select the name of our pier alternative in the bridge workspace tree and then select “Bridge/Output” from the

command menu, the following window will appear. This window contains a listing of the output files BrD created

when it computed the pier loads for you and when it performed the finite element analysis. Double-clicking a file

will cause the report to be opened in your internet browser.

In Topic 3 we reviewed this window and the output files created when the user interface computed loads on the pier.

Those files have the number ‘1’ appended to their name. The files shown with the number ‘2’ appended to the name

contain both the BrD user interface calculations and the nodal and element loads applied to the FE model.

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Method of Solution

The Method of Solution manual can be accessed from the Help menu in BrD.