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6th Edition

KASSIMALI + 1 other

Publisher: Cengage,

ISBN: 9781337630931

Chapter 15, Problem 14P

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. P15.14

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

Formula to calculate the fixed moment for the point load of equal length is

Calculation:

Consider modulus of elasticity *EI* of the beam is constant.

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

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

Refer Figure 1,

Calculate the fixed end moment for *DE*.

Calculate the fixed end moment for *ED*.

Calculate the fixed end moment for *EG*.

Calculate the fixed end moment for *GE*.

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

Substitute 0 for *L* and

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

Substitute 0 for *L* and

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

Substitute 0 for *L*, and

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

Substitute 0 for *L* and

Write the equilibrium equation as below.

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

Calculate the moment about *DE*.

Substitute

Calculate the moment about *ED*.

Substitute

Calculate the moment about *EG*.

Substitute

Calculate the moment about *GE*.

Substitute

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

Consider the member *DE* of the beam:

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

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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