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6th Edition

KASSIMALI + 1 other

Publisher: Cengage,

ISBN: 9781337630931

Chapter 15, Problem 20P

Textbook Problem

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

FIG. P15.20

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 *AC*.

Calculate the fixed end moment for *CA*.

Calculate the fixed end moment for *CD*.

Calculate the fixed end moment for *DC*.

Calculate the fixed end moment for *DB*.

Calculate the fixed end moment for *BD*.

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

Substitute 0 for *L* and 0 for

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

Substitute 0 for *L*, and 0 for

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

Substitute 0 for *L*, and 0 for

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

Substitute 0 for *L*, and 0 for

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

Substitute 0 for *L*, and

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

Substitute 0 for *L*, and

Write the equilibrium equation as below.

Substitute equation (2) and equation (5) in above equation.

Write the equilibrium equation as below.

Substitute equation (4) and equation (6) in above equation.

Solve the equation (7) and (8).

Calculate the moment about *AC*.

Substitute

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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