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6th Edition

KASSIMALI + 1 other

Publisher: Cengage,

ISBN: 9781337630931

Chapter 15, Problem 7P

Textbook Problem

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Solve Problem 15.4 for the loading shown in Fig. P15.4 and the support settlements of 1 in. at *B* and
*C*.

FIG. P15.4, P15.7

To determine

Find the reaction and plot the shear and bending moment diagram.

Fixed end moment:

Formula to calculate the fixed moment for UDL is

Calculation:

Consider the flexural rigidity *EI* of the beam is constant.

Show the free body diagram of the entire beam as in Figure 1.

Refer Figure 1,

Calculate the fixed end moment for *AB*.

Calculate the fixed end moment for *BA*.

Calculate the fixed end moment for *BC*.

Calculate the fixed end moment for *CB*.

Chord rotations:

Show the free body diagram of the chord rotation due to support reaction of the beam as in Figure 2.

Calculate the chord rotation of the beam *AB*.

Calculate the chord rotation of the beam *BC*.

Calculate the slope deflection equation for the member *AB*.

Here, *A* and *B*.

Substitute *E*, *I*, *L* and

Calculate the slope deflection equation for the member *BA*.

Substitute *E*, *I*, *L* and

Calculate the slope deflection equation for the member *BC*.

Substitute *E*, *I*, *L* and

Calculate the slope deflection equation for the member *CB*.

Write the equilibrium equation as below.

Substitute equation (1) and equation (2) in above equation.

Calculate the moment about *AB*.

Substitute

Calculate the moment about *BA*.

Substitute

Structural Analysis

Show all chapter solutions

Ch. 15 - Determine the reactions and draw the shear and...Ch. 15 - Determine the reactions and draw the shear and...Ch. 15 - Determine the reactions and draw the shear and...Ch. 15 - Determine the reactions and draw the shear and...Ch. 15 - Determine the reactions and draw the shear and...Ch. 15 - Solve Problem 15.2 for the loading shown in Fig....Ch. 15 - Solve Problem 15.4 for the loading shown in Fig....Ch. 15 - Determine the reactions and draw the shear and...Ch. 15 - Determine the reactions and draw the shear and...Ch. 15 - Determine the reactions and draw the shear and...

Ch. 15 - 15.8 through 15.14 Determine the reactions and...Ch. 15 - 15.8 through 15.14 Determine the reactions and...Ch. 15 - 15.8 through 15.14 Determine the reactions and...Ch. 15 - 15.8 through 15.14 Determine the reactions and...Ch. 15 - Solve Problem 15.9 for the loading shown in Fig....Ch. 15 - Solve Problem 15.12 for the loading shown in Fig....Ch. 15 - Determine the member end moments and reactions for...Ch. 15 - Determine the member end moments and reactions for...Ch. 15 - Determine the member end moments and reactions for...Ch. 15 - Determine the member end moments and reactions for...Ch. 15 - Solve Problem 15 .17 for the loading shown in Fig....Ch. 15 - Solve Problem 15.18 for the loading shown in Fig....Ch. 15 - Determine the member end moments and reactions for...Ch. 15 - 15.24 through 15.31 Determine the member end...Ch. 15 - 15.24 through 15.31 Determine the member end...Ch. 15 - 15.24 through 15.31 Determine the member end...Ch. 15 - 15.24 through 15.31 Determine the member end...Ch. 15 - 15.24 through 15.31 Determine the member end...Ch. 15 - 15.24 through 15.31 Determine the member end...Ch. 15 - 15.24 through 15.31 Determine the member end...Ch. 15 - 15.24 through 15.31 Determine the member end...

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