Member ABC is supported by a pin and bracket at A, and by

Chapter 1, Problem 1.C6

(choose chapter or problem)

The following problems are designed to be solved with a computer.

Member ABC is supported by a pin and bracket at A, and by two links that are pin-connected to the member at B and to a fixed support at D. (a) Write a computer program to calculate the allowable load \(P_{\text {all }}\) for any given values of (i) the diameter \(d_{1}\) of the pin at A, (ii) the common diameter \(d_{2}\) of the pins at B and D, (iii) the ultimate normal stress \(\sigma_{U}\) in each of the two links, (iv) the ultimate shearing stress \(\tau_{U}\) in each of the three pins, and (v) the desired overall factor of safety F.S. (b) Your program should also indicate which of the following three stresses is critical: the normal stress in the links, the shearing stress in the pin at A, or the shearing stress in the pins at B and D. (c) Check your program by using the data of Probs. 1.55 and 1.56, respectively, and comparing the answers obtained for \(P_{\text {all }}\) with those given in the text. (d ) Use your program to determine the allowable load \(P_{\text {all }}\), as well as which of the stresses is critical, when \(d_{1}=d_{2}=15 \mathrm{~mm}, \sigma_{U}=110 \mathrm{MPa}\) for aluminum links, \(\tau_{U}=100 \mathrm{MPa}\) for steel pins, and \(F S .=3.2\).