Chapter 10, Problem 1P

To determine

Find the symmetric and antisymmetric loading component.

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.

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

Sketch the reflection of half loading as shown in Figure 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.

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.