### 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.

1 Answers

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

Calculation of position vector AD and tension in AD

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*

Your Answer