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A 3000 kg deck is cantilevered over a beam as shown. It is attached to the house at the other end. Find the force of the beam.

A 3000 kg deck is cantilevered over a beam as shown It is attached to the house at the other end Find the force of the beam class=

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scme1702
The beam is acting as the pivot and the weight of the deck acts through its center its gravity, at the midpoint of the deck. 
Center of gravity at: (16 + 4)/2 = 10 ft

Converting 4 ft to meters: 1.22 m
Converting 10 ft to meters: 3.05

F x 1.22 = 3.05 x 3000 x 9.81
F = 73,600 N