Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
Question
Book Icon
Chapter 10, Problem 1P
To determine

Find the symmetric and antisymmetric loading component.

Expert Solution & Answer
Check Mark

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, 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, 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, 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, Chapter 10, Problem 1P , additional homework tip  4

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
A beam is subjected to the loading shown in Fig. 10.13(a). Determine the symmetric and antisymmetric components of the loading with respect to the axis of symmetry of the beam.
A two-story frame is subjected to the loading shown in Fig. 10.16(a). Determine the symmetric and antisymmetric components of the loading with respect to the axis of symmetry of the frame.
Determine the symmetric and antisymmetric components of the loadings shown in Figs with respect to the axis of symmetry of the structure.