The beam is constructed from two boards fastened together at

The beam is constructed from two boards fastened together at the top and bottom with two rows of nails spaced every 6 in. If each nail can support a 500-lb shear force, determine the maximum shear force V that can be applied to the beam.

Solution

Moment of Inertia (I) = (b*d^3)/12

I = (6*(4^3))/12

I = 32 in^4

q = VQ/I

where V = shear force of each nail

Q = 1*6*2 in^3

q = (150*1*6*2)/32

q = 56.25 lb/in

maximum shear force F = q*s

F = 56.25*2

F = 112.5 lb