Structural Analysis, SI Edition
Structural Analysis, SI Edition
6th Edition
ISBN: 9780357030981
Author: Aslam Kassimali
Publisher: Cengage Learning US
Question
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Chapter 10, Problem 1P
To determine

Find the symmetric and antisymmetric loading component.

Expert Solution & Answer
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Explanation of Solution

Given information:

The structure is given in the Figure.

The Young’s modulus E and the area A is constant.

Calculation:

Refer the given structure.

Divide the magnitudes of forces and moments of the given loading by 2 to obtain the half loading.

Sketch the half loading for the given structure as shown in Figure 1.

Structural Analysis, SI Edition, Chapter 10, Problem 1P , additional homework tip  1

Draw the reflection of half loading about the specified axis S.

Sketch the reflection of half loading as shown in Figure 2.

Structural Analysis, SI Edition, Chapter 10, Problem 1P , additional homework tip  2

Add the half loading (Figure 1) and reflection of half loading (Figure 2) to find the symmetric component.

Sketch the symmetric loading component as shown in Figure 3.

Structural Analysis, SI Edition, Chapter 10, Problem 1P , additional homework tip  3

Subtract the symmetric loading component (Figure 3) from the given loading to obtain the antisymmetric loading component.

Sketch the antisymmetric loading component as shown in Figure 4.

Structural Analysis, SI Edition, Chapter 10, Problem 1P , additional homework tip  4

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