102年 - 102 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#146164

1.An I-beam is subjected to a bending moment 5000 N-m and a vertical shear force 1000 N, as shown in Fig-1. The cross section has width b=10cm, height h=12cm, and thickness t=2cm, determine the maximum tensile stress (10%) and the maximum shear stress in the beam. (10%)

2. Find the angle of rotation θ_a and deflection δ_a at the free end a of a cantilever beam, and a concentrated load p=4 N. If a = 3m and b= 2m as shown in the Fig-2.(20%)

Fig- 2

(a) drawing the axial force distribution diagram along the pile (5%);

(b) the maximum compressive normal stress (5%);

(c) the change in length of the pile. (10%)

4.Draw the shear force and bending moment diagrams of the beam as shown below. (20%)

5. The beam below is loaded and has a moment release just to the left of C. Draw the shear-force and bending-moment diagrams for this compound beam ABCD. (20%)