고체역학 (Beer) — Introduction—Concept of Stress: Problem 1.69

1.69 The two portions of member AB are glued together along a plane forming an angle \(\theta\) with the horizontal. Knowing that the ultimate stress for the glued joint is 2.5 ksi in tension and 1.3 ksi in shear, determine (a) the value of \(\theta\) for which the factor of safety of the member is maximum, (b) the corresponding value of the factor of safety. (Hint: Equate the expressions obtained for the factors of safety with respect to the normal and shearing stresses.) Given values from diagram: Axial Load, \(P = 2.4 \text{ kips}\) (Tension) Cross-section dimensions: \(2.0 \text{ in.}\) by \(1.25 \text{ in.}\)