Chapter 11, Problem 11.6.5P

A pinned-end strut of a length L = 5.2 ft is constructed of steel pipe (E = 30 × 10³ ksi) having an inside diameter d₁= 2.0 in. and outside diameter d₂= 2.2 in. (sec figure). A compressive load F = 2.0 kips is applied with eccentricity e = 1.0 in.

What is the maximum compressive stress ${\sigma }_{\text{max}}$

1. in the strut?
What is the allowable load P_allowif a factor of safety n = 2 with respect to yielding is required? (Assume that the yield stress ${\sigma }_y$
2. of the steel is 42 ksi.)