Problem 1.C3

Question

Two horizontal 5-kip forces are applied to pin B of the assembly shown. Each of the three pins at A, B, and C has the same diam¬eter d and is in double shear. (a) Write a computer program to calculate for values of d from 0.50 to 1.50 in., using 0.05-in. incre¬ments, (i) the maximum value of the average normal stress in mem¬ber AB, (ii) the average normal stress in member BC, (iii) the average shearing stress in pin A, (iv) the average shearing stress in pin C, (v) the average bearing stress at A in member AB, (vi) the average bearing stress at C in member BC, and (vii) the average bearing stress at B in member BC. (b) Check your program by comparing the values obtained for d = 0.8 in. with the answers given for Probs. 1.60 and 1.61. (c) Use this program to find the permissible values of the diameter d of the pins, knowing that the allowable values of the normal, shearing, and bearing stresses for the steel used are, respectively, 22 ksi, 13 ksi, and 36 ksi. (d) Solve part c, assuming that a new design is being investigated in which the thickness and width of the two members are changed, respec¬tively, from 0.5 to 0.3 in. and from 1.8 to 2.4 in.

Answer 1