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6th Edition

KASSIMALI + 1 other

Publisher: Cengage,

ISBN: 9781337630931

Chapter 15, Problem 22P

Textbook Problem

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Solve Problem 15.18 for the loading shown in Fig. PlS.18 and a settlement of 6 mm at support *A.*

15.17 through 15.20 Determine the member end moments and reactions for the frames shown in Figs. P15.17–P15.20 by using the slope-deflection method.

FIG. P15.18, P15.22

To determine

Find the member end moments and reaction for the frames.

Fixed end moment:

Formula to calculate the fixed moment for UDL is

Calculation:

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

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

Refer Figure 1,

Calculate the fixed end moment for *BC*.

Calculate the fixed end moment for *CB*.

Calculate the fixed end moment for *AC*.

Calculate the fixed end moment for *CA*.

Calculate the fixed end moment for *CD*.

Calculate the fixed end moment for *DC*.

Chord rotations:

Show the free body diagram of the chord rotation of the frame as in Figure 2.

Calculate the chord rotation of the frame *BC*.

Calculate the chord rotation of the frame *CD*.

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

Substitute 200 GPa for *E*, *I*, 0 for *L* and

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

Substitute 200 GPa for *E*, *I*, 0 for *L* and

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

Substitute 200 GPa for *E*, *I*, -0.0012 for *L* and

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

Substitute 200 GPa for *E*, *I*, -0.0012 for *L* and

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

Substitute 200 GPa for *E*, *I*, 0.0012 for *L* and

Structural Analysis

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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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