고체역학 (Beer) — Introduction—Concept of Stress: Problem 1.47

1.47 A load P is supported as shown by a steel pin that has been inserted in a short wooden member hanging from the ceiling. The ultimate strength of the wood used is 60 MPa in tension and 7.5 MPa in shear, while the ultimate strength of the steel is 145 MPa in shear. Knowing that \(b = 40 \text{ mm}\), \(c = 55 \text{ mm}\), and \(d = 12 \text{ mm}\), determine the load P if an overall factor of safety of 3.2 is desired.