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6th Edition

KASSIMALI + 1 other

Publisher: Cengage,

ISBN: 9781337630931

Chapter 7, Problem 24P

Textbook Problem

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7.24 through 7.27 Use the virtual work method to determine the deflection at point *C* of the beam shown.

FIG. P7.24, P7.28, P7.59

To determine

Find the deflection at point *C* of the beam using virtual work method.

Given information:

The beam is given in the Figure.

Calculation:

Consider the real system.

Let the bending moment due to real load be

Sketch the real system of the beam as shown in Figure 1.

Consider the virtual system.

Remove all the real loads and apply unit load where the point to find the deflection.

Let the bending moment due to virtual load be

Sketch the virtual system of the beam with unit load at point *C* as shown in Figure 2.

Find the equations for *M* and

Segment | x-coordinate | M | ||

Origin | Limits | |||

CB | C | |||

BA | C |

Find the deflection at *C* using the virtual work expression:

Substitute 2*I* for span *AB* and *I* for span *BC*.

Rearrange Equation (1) for the limits

Substitute

Structural Analysis

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