# 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 AB is 840lb, determine the vertical force P exerted by the tower on the pin at A.

Question-AnswerCategory: Engineering MechanicsA 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 AB is 840lb, determine the vertical force P exerted by the tower on the pin at A.

### 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 AB is 840lb, determine the vertical force P exerted by the tower on the pin at A.  Step 1
Write the coordinates of different points of the system. Calculation of position vector AB and tension in AB Step 3

Calculation of position vector AC and tension in AC Step 4 Step 5

Apply equilibrium of forces Equate the component of i in equation (1) Equate the component of j in equation (1) Equate the component of k in equation (1) Step 6

Solving equation (2) , (3) and (4) The vertical force exerted by the tower is P = 1553lb