Virtual Work and Energy Methods - Structural and Stress Analysis - page 461

Ans. R A = 1 . 25 WR D = 1 . 75 W .

2 W W

A B C D

L /2 L /4 L /4

F IGURE P.15.1

P.15.2 Find the support reactions in the beam ABC shown in Fig. P.15.2 using the
principle of virtual work.

Ans. R A = ( W + 2 wL ) / 4 R c = (3 W + 2 wL ) / 4 .

W

w

A C

B

3 L /4 L /4

F IGURE P.15.2

P.15.3 Determine the reactions at the built-in end of the cantilever beam ABC shown
in Fig. P.15.3 using the principle of virtual work.

Ans. R A = 3 WM A = 2 . 5 WL .

W 2 W

A B

C

L /2 L /2

F IGURE P.15.3

P.15.4 Find the bending moment at the three-quarter-span point in the beam shown
in Fig. P.15.4. Use the principle of virtual work.

Ans. 3 wL 2 / 32 .