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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-Answer › Category: Engineering Mechanics › 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.
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Beer Johnston asked 1 year ago

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.

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1 Answers
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S gill answered 1 year ago

Step 1
Write the coordinates of different points of the system.

Calculation of position vector AB and tension in AB
Mechanical Engineering homework question answer, step 2, image 2

Step 3

Calculation of position vector AC and tension in AC
Mechanical Engineering homework question answer, step 3, image 1

Step 4

Calculation of position vector AD and tension in AD
Mechanical Engineering homework question answer, step 4, image 1

Step 5

Apply equilibrium of forces
Mechanical Engineering homework question answer, step 5, image 1
Equate the component of i in equation (1)
Mechanical Engineering homework question answer, step 5, image 2
Equate the component of j in equation (1)
Mechanical Engineering homework question answer, step 5, image 3
Equate the component of k in equation (1)
Mechanical Engineering homework question answer, step 5, image 4

Step 6

Solving equation (2) , (3) and (4)
Mechanical Engineering homework question answer, step 6, image 1
The vertical force exerted by the tower is P = 1553lb

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