Question

Determine the resultant of the three forces acting on the gusset plate of a truss.

Answer 1

Resolving the forces into horizontal and vertical components:

$∑V(↑+) = 6200-4000sin45-3800sin50 = 460.604 \;N \\ ∑H→+=4000cos45-3800cos50=385.834 \;N$

The resultant force is

$R=460.6042+385.8342 =600.85 \;N$