Find and sketch the symmetric loading component.
Find and sketch the antisymmetric loading component.
Explanation of Solution
Given information:
The structure is given in the Figure.
The Young’s modulus E and area A are 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 and reflection of half loading to find the symmetric component.
Sketch the symmetric loading component as shown in Figure 3.
Subtract the symmetric loading component from the given loading to obtain the antisymmetric loading component.
Sketch the antisymmetric loading component as shown in Figure 4.
Want to see more full solutions like this?
Chapter 10 Solutions
Structural Analysis (MindTap Course List)
- Q: The resultant of the force system shown in Fig. (1) is a couple 291.2 Counterclockwise. Determine the unknowns F1, F2, and C. R2 gm 3 cm 4 cm Fig (1) NAZarrow_forwardLocate the y̅ centroid for the paraboloid of revolution, shown.arrow_forward1. For frame presented in Fig. 1, calculate the reactions at the two supports under the applied load, spacing in meters. 2 kN/m 20 kN 20 kN Xa 10 kN Y₁¹ 45 +14+4+ 10 Fig. 1 Yb TL31 2 ←Xbarrow_forward
- 30 kg Fig. P12.11 and P12.12arrow_forward1:37 B O O ll ll i Stability and Determinacy Determine the degree of indeterminacy and stability of the following structures. 用用 13. 14. STRUCTURAL THEORY 14 of 14arrow_forwardClassify each of the structures given below as externally unstable, statically determinate or statically indeterminate. Label correctly the external and internal reactions and support your answers with valid explanations. Fig. a Fig. c Hinge Fig. e Hinge Hinge B Fig. b Hinge Fig. d Hinge Fig. f Hinge сarrow_forward
- For the structure shown in Figure P1-1, determine the structural stiffness matrix for the entire structure by using the basic definition of stiffness.arrow_forwardIn Fig. P 3-4.5, if P is known to be 160 lb, determine the values of alpha and theta that maintain equilibrium.arrow_forward1:34 B O FOUARANTEA Stability and Determinacy Determine the degree of indeterminacy and stability of the following structures. 7. 8. 10. 11. 12. STRECTURAL THEORY # <arrow_forward
- Find the degree of static indeterminacy and kinematic indeterminacy for the following plane structures: Fig: 1 Ans: Ds = 1 Fig: 2 Ans: Ds = 0 HY FRAME PLANE TRUSS STRESSarrow_forwardThe frame shown in Fig. 10.7(a) is to be analyzed to determine its member end forces and deflections due to a general system of loads. Can the frame be considered to be symmetric?arrow_forwardDetermine the resultant of the three forces acting on a hook as shown in Figarrow_forward
