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6th Edition

KASSIMALI + 1 other

Publisher: Cengage,

ISBN: 9781337630931

Chapter 15, Problem 31P

Textbook Problem

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15.24 through 15.31 Determine the member end moments and reactions for the frames shown in Figs. P15.24–P15.31 by using the slope-deflection method.

FIG. P15.31

To determine

Find the member end moments and reaction for the frames.

Calculation:

Consider the elastic modulus *E* 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 fixed end moment for *CE*.

Calculate the fixed end moment for *EC*.

Calculate the fixed end moment for *EF*.

Calculate the fixed end moment for *FE*.

Calculate the fixed end moment for *FD*.

Calculate the fixed end moment for *DF*.

Chord rotations:

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

Refer Figure 2,

Calculate the chord rotation of the frame *AC* and *BD*.

Calculate the chord rotation of the frame *CE* and *DF*.

Calculate the chord rotation of the frame *CD* and *EF*.

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

Substitute 15 ft for *L*, 0 for

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

Substitute 15 ft for *L*, 0 for

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

Substitute 30 ft for *L*, 0 for

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

Substitute 30 ft for *L*, 0 for

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

Substitute 15 ft for *L*, 0 for

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

Substitute 15 ft for *L*, 0 for

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

Substitute 15 ft for *L*,

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

Substitute 15 ft for *L*,

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

Substitute 30 ft for *L*, 0 for

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

Substitute 30 ft for *L*, 0 for

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

Substitute 15 ft for *L*,

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

Substitute 15 ft for *L*,

Write the equilibrium equation as below.

Substitute equation (2), equation (3), and equation (7) in above equation.

Write the equilibrium equation as below.

Substitute equation (4), equation (5) and equation (12) in above equation.

Write the equilibrium equation as below.

Substitute equation (8) and equation (9) in above equation.

Write the equilibrium equation as below.

Substitute equation (10) and equation (11) in above equation.

Show the free body diagram of the joint *E* and *F* due to sway force as in Figure 3.

Calculate the horizontal reaction at the member *CE* due to sway force by taking moment about point *C*.

Calculate the horizontal reaction at the member *DF* due to sway force by taking moment about point *D*.

Calculate the reaction of the support *E* and support *F* due to sway force by considering horizontal equilibrium.

Substitute equation (7), (8), (11) and (12)

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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