110年 - 110 國立中山大學碩士暨碩士專班招生考試_機電系碩士班/乙組:材料力學#104311

Prob.#3(30%)
The assembly consists of two posts AB and CD each made from material 1 having a modulus of elasticity of E₁and a cross-sectional area A₁, and a central post made from material 2 having a modulus of elasticity E₂ and cross-sectional area A₂. If a load P is applied to the rigid cap, determine the force in each material.(請注意:Free body diagram 、 Equilibrium equations 以及 Compatibility都必須清楚標示出來)

Prob.#4(30%)
 The member shown in Figure 2(a) having a rectangular cross section is designed to resist a moment of 50 N. m. In order to increase its strength and rigidity, the engincer is planning to add two small ribs at its bottom, Figure 2(b). Is this a good idea? Answer this question by determining and comparing the maximum normal stress in the member for both cases.