Solve the following two problems:
P1. A 1/2 inch diameter steel rod, 100 ft long, is hanging vertically and an axial load of 8000 lb is hanging at the free end of the rod. Calculate the following:
a) Elongation of the bar due to self-weight; due to the suspended load; and the total elongation.
b) Calculate the axial stress in the rod due to the applied load.
Use a unit weight of 490 lb/cft and E = 30x10^6 psi.
P2. A circular steel rod (length 'feet'; steel E = 30x10^6 psi) is to carry an axial load of 65,000 lb. Determine the smallest diameter of the rod that can be used if these two conditions are to be met:
a) The axial stress should not exceed 36,000 psi.
b) The total axial deformation should not exceed 0.085 in.