A transmission tower is held by three guy wires attached to a pin at A and anchored by bolts at B, C, and D . If the tension in wire AC is 590 lb, determine the vertical force P exerted by the tower on the pin at A.
we solve this question by resolution of component of force in 3D ( 3 dimensions).
dimensions of all 3 wires from the origin O is given.
Similarly dB=105 ft; dD=126 ft
Similarly, for pin at point B
For pin at point D
Boundary Condition- Resultant Sum of force in x and y direction is 0
this above constraint is used to find FB and FD
solving above two equations we get
we need to find vertical force P exerted by the tower on the pin at A