106年 - 106 國立嘉義大學_碩士班(甲組)招生考試試題_土木與水資源工程學系：材料力學#146407

(A)線性材料與非線性材料。(10分)

(B)彈性行為與塑性行為。(10分)

2. 畫出典型結構用鋼受拉力伸長之應力-應變圖，標示重要的點或區域名稱。(20分)

3. The composite beam shown in Fig. 1 is simply supported and carries a total uniform load of 40 kN/m on a span length of 4.0 m. The beam is built of a southern pine wood member having cross-sectional dimensions 150 mm × 250 mm and two brass plates of cross-sectional dimensions 50 mm × 150 mm. Determine the maximum stresses σB and σw in the brass and wood, respectively, if the moduli of elasticity are E_B = 96 GPa and E_w = 14 GPa. (Disregard the weight of the beam.)(20分)
Fig. 1

(A)Determine the principal stresses and show them on a sketch of a properly oriented element.(10分)

(B)Determine the maximum shear stresses and associated normal stresses and show them on sketch of a properly oriented element.(10分)

5. A bar AB having length L and axial rigidity EA is fixed at end A as shown in Fig. 3. At the other end, a small gap of dimension s exists between the end of the bar and a rigid surface. A load P acts on the bar at point C, which is two-thirds of the length from the fixed end. If the support reactions produced by the load P are to be equal in magnitude, what should be the size s of the gap?(20分)