고체역학 (Gere) — Axially Loaded Members: Problem 2.4-4

2.4-4 A horizontal rigid bar \(ABC\) is pinned at end \(A\) and supported by two cables at points \(B\) and \(C\). A vertical load \(P = 10\text{ kN}\) acts at end \(C\) of the bar. The two cables are made of steel with a modulus elasticity \(E = 200\text{ GPa}\) and have the same cross-sectional area. Calculate the minimum cross-sectional area of each cable if the yield stress of the cable is \(400\text{ MPa}\) and the factor of safety is 2.0. Consider load \(P\) only; ignore the weight of bar \(ABC\) and the cables.