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6th Edition

KASSIMALI + 1 other

Publisher: Cengage,

ISBN: 9781337630931

Chapter 15, Problem 13P

Textbook Problem

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15.8 through 15.14 Determine the reactions and draw the shear and bending moment diagrams for the beams shown in Figs. P15.8–P15.14 by using the slope-deflection method.

FIG. P15.13

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.

Due to symmetric loading of the beam, consider the beam *CE* for the analysis.

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

Refer Figure 1,

Calculate the fixed end moment for *CD*.

Calculate the fixed end moment for *DC*.

Calculate the fixed end moment for *DE*.

Calculate the fixed end moment for *ED*.

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

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

Substitute 0 for *L* and

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

Write the equilibrium equation as below.

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

Calculate the moment about *CD*.

Substitute

Calculate the moment about *DC*.

Substitute

Calculate the moment about D*E*.

Substitute

Show the section free body diagram of the member *CD* and *DE* as in Figure 2.

Refer Figure 2,

Consider the member *CD* of the beam:

Calculate the vertical reaction at the left end of the joint *D* by taking moment about point *C*.

Calculate the vertical reaction at the right end of the joint *C* by resolving the vertical equilibrium.

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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