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The Magnitude of the Largest Force P

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Knowing that the ultimate load for cable BD is 100 kN and that a factor of safety of 3.2 with respect to cable failure is required, determine the magnitude of the largest force P that can be safely applied as shown to member ABC.

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1. Use the F.S. to figure out allowable F_BD.
F.S. = (ultimate load of F_BD)/(allowable load of F_BD)
Plug in: F.S. (3.2) and ultimate load.
Then, use algebra to solve for allowable load. (100kN).
Answer: 31.25kN

2. Use FBD to calculate P in terms of F_BD.
We can use forces ...

Solution Summary

Steps to finding the largest force to be applied to a cable given a certain safety factor and ultimate load.