To be able to solve for unknown forces and moments in rigid-body problems using

Question

To be able to solve for unknown forces and moments in rigid-body problems using the equations of equilibrium. For a rigid body to be in equilibrium, both the sum of the forces and the sum of the moments about an arbitrary point O must be zero: As shown, a uniform beam that weighs 81 .Olb is attached to a wall at point A. The beam is subjected to three forces, F1 = 52.0 lb , F2 = 20.0 lb , and F3 = 21.0 lb . (Figure 1)The line of action of F2 passes through point A. If the wall can sustain a maximum moment of 565lb - ft about points, what is the largest value for d, the beam's length, that preserves static equilibrium? The beam's width is negligible.

Explanation / Answer

TAking moment about A :

M = F1*4/5 +F3*d +81*d/2

565 = 52*d*4/5*2 +21*d+81*d/2

565 = 82.3*d

d=6.86513 ft

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