課程名稱︰材料力學 課程性質︰必修 課程教師︰王安邦 開課學院：工學院 開課系所︰化工系 考試日期（年月日）︰101.01.10 考試時限（分鐘）：110分鐘 是否需發放獎勵金：是 （如未明確表示，則不予發放） 試題 : Problem 1 (20%) The thin-walled cylindrical pressure vessel shown in Fig. 1 has an inside diameter of 20in. and a wall thickness of 3/8 in. The vessel is subjected to an internal pressure of p and a torque of T. At a point on the outside surface of the steel (E=30,000ksi and v=0.30) vessel, the strain rosette as in the right was used to obtain the following normal strain data: εa= +36 μin./in., εb= +310 μin./in., and εc= +150 μin./in. Gage a and c are oriented in the axial and hoop direction of the vessel, respectively. Determine the pressure p and the torque T. 圖： http://ppt.cc/gpl8 Problem 2 (20%) A beam is loaded and supported as shown in Fig.2. Using the coordinate axes shown, a. Write equations for the shear force Vr and the bending moment Mr for any section of the beam. b. Determine the magnitudes and locations of the maximum shear and the maximum bending moment in the beam. 圖： http://ppt.cc/vLGR Problem 3 (20%) The 160-mm-diameter steel (G= 80GPa) shaft shown in Fig.3 has a 100-mm-diameter bronze (G= 40GPa) core inserted in 3m of its right end. The bronze is securely bonded to the steel. Determine a. The maximum shearing stress in each of the materials. b. The rotation of the free end of the shaft. 圖： http://ppt.cc/NRz0 Problem 4 (20%) A beam is loaded and supported as shown in Fig.4. Please determine a. The deflection at the left end (between A and B) of the beam. b. The deflection midway between the supports (B and C). 圖： http://ppt.cc/rIQB Problem 5 (20%) A Teddy bear is standing on the chair in Fig.5. The force exerted by Teddy bear on the frame at one side of the chair is equivalent to horizontal and vertical forces of 24N and 84N, respectively, at E and a force of 28N perpendicular to member BH at G. Determine the maximum tensile and compressive normal stresses on a section midway between pins C and F. Member BH has a 10x30-mm cross section and the 30-mm dimension lies in the paper plane. 圖： http://ppt.cc/9_G_ --

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