110年 - 110 國立中央大學_碩士班招生考試_機械工程學系、機械工程學系(光電工程)固力與設計、光機組(一般生)：材料力學#125281

(a) 如下圖1-a所示的實心鋼軸直徑為20 mm。如果該實心鋼軸承受兩個扭矩, 試決定固定支座A和B的反作用力。(10%)

(b) 下圖1-b所示的組件由橫截面積為400 mm²的鋁管AB組成。一直徑為10 mm 的鋼桿連接到剛性軸環上,並穿過管子。如果對鋼桿施加了80 kN 的拉 伸載荷,試決定鋼桿端 C 的位移。已知鋼桿和鋁管的楊氏係數分別為 E_st = 200 GPa, E_al = 70 GPa。(15%)

2. As shown in Figure 2, the allowable working stresses for the manufactured wood beam are 10 MPa in bending and 1 MPa in shear. Determine the maximum intensity w₀ of the distributed loading that the beam can safely support. (25%)

3. Determine the deflection of end C of the 150-mm-diameter solid circular shaft (Figure 3). The shaft is made of steel having a modulus elasticity of E = 200 GPa. (25%)

(a) Please draw graphs to show the variation of stress Mohr's circle for a steel bar under axial constant amplitude fatigue loading. The ratio of minimum stress σ_min to maximum stress σ_max is -0.5. (9%)

(b) The solid shaft is subjected to a torque, bending moment, and shear force as shown in Figure 4. Determine the principal stresses acting at points A and B. (16%)