Problem 1.C4
A 4-kip force P forming an angle ? with the vertical is applied as shown to member ABC, which is supported by a pin and bracket at C and by a cable BD forming an angle ? with the horizontal. (a) Knowing that the ultimate load of the cable is 25 kips, write a computer program to construct a table of the values of the factor of safety of the cable for values of ? and ? from 0 to 45°, using increments in ? and ? corresponding to 0.1 increments in tan ? and tan ?. (b) Check that for any given value of ?, the maximum value of the factor of safety is obtained for ? = 38.66° and explain why. (c) Determine the smallest possible value of the factor of safety for ? = 38.66°, as well as the corresponding value of ?, and explain the result obtained.
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