4: Method of Virtual Work (1): Principle of Virtual Displacements

4.4 Suggested Problems

Problem 1

Use the principle of virtual work to compute: $R_A$, $R_B$, $M_B$, $V_C$ and $M_C$.

(Partial Solution)

Problem 2

Using the principle of virtual work, compute the force $P$ required for equilibrium.

(Solution)

Problem 3

For the following frame, use the principle of virtual work (virtual displacement) to determine:

1. Vertical and horizontal reactions at point b.
2. Vertical and horizontal reactions at point e.
3. Bending moment at point f.
4. Bending moment at point c.
5. Shear force at point f.
6. Normal force at point f.
7. Shear force just to the right of point b.
8. Shear force just to the left of point b.
9. Shear force just above point d.
10. Axial (normal) force at point d.

In all cases, chose a virtual displacement that involves only the unknown force and the applied loads.

(Partial Solution Part 1) (Partial Solution Part 2)