In the cable system shown, point D lies in the yz plane and force Pis parallel to the z axis. The cables AB and AC have 460 lb breaking strength, and cables AD and AE have 920 lb breaking strength, and the factor of safety for all cables is 1.5 against failure.

In the cable system shown, point D lies in the yz plane and force Pis parallel to the z axis. The cables AB and AC have 460 lb breaking strength, and cables AD and AE have 920 lb breaking strength, and the factor of safety for all cables is 1.5 against failure.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter6: Beams And Cables

Section: Chapter Questions

Problem 6.63P: The cable of the suspension bridge spans L=140m with a sag H=20m. The cable supports a uniformly...

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DETERMINE ( NEED ONLY HANDWRITTEN SOLUTION PLEASE OTHERWISE DOWNVOTE).

In the cable system shown, point D lies in the yz plane and force Pis parallel to the z axis. The cables AB and AC have
460 lb breaking strength, and cables AD and AE have 920 lb breaking strength, and the factor of safety for all cables is 1.5
against failure.
6 ft
8 ft
B
Z
6 ft
X
E
P
9 ft
D
12 ft
y
Determine the largest force P that may be supported. (Round the final answer to four decimal places.)

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Step 1: Write the given data and what is to find

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Step 2: Determine the position vectors of all the cables and the tension vector in each cable:

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Step 3: Calculate the tensions in each cable in terms of P:

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Step 4: Calculate the largest load P:

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