課程名稱︰材料力學 課程性質︰必帶 課程教師︰朱錦洲 開課學院：工學院 開課系所︰化工系 考試日期（年月日）︰100/1/10 考試時限（分鐘）：180 是否需發放獎勵金：是 （如未明確表示，則不予發放） 試題 : 1. (25 points) (a) What have you learned in this semester on "Mechanics of Materials"?(10) (b) A piece of chalk is subjected to a pure torque. Its failure is as shown in Fig. 1. Please atate the reason of the failure.(8) (c)Saint-Venant's principle.(7) 3.(30 points) Two stainless steel (G=86GPa) shaft 2.5m long extends through and is attatched to a hollow brass (G=39GPa) shaft 1.5m long, as shown in Fig.3. Both shafts are fixed at the wall. When the two torques shown are applied to The shaft, determine (a) The maximum shearing stress in the steel. (b) The maximum shearing stress in the brass. (c) The maximum compressive and tensile stresses in the brass. 2.(20 points) Two circular shafts (made by the same material with allowable shear stress the same) are used to transmit a torque as shown in Fig 2. If these two shafts have the same cross-section area, determine (a)Which one can transmit more torque? (b)T1/T2 (the ratio of T1 and T2) 4.(20 points) Draw complete shear and bending moment diagrams for the beam ABCD shown in Fig 4. 5.(8, 10, 10, 12 points) A simple beam shown in Fig 5a has the cross section shown in Fig 5b. (a) Find the reactions at the two support B,C. (b) Draw the shear force and bending moment diagrams for the beam. (c) Find the maximum tensile and compressive flexural stresses in the beam. (d) Find the horizontal shearing stress distribution along the y-axis at location of x=5 ft (5 ft right of point B). 6.(18,7 points) For the bean loaded and supported in Fig 6, determine (a) The equation of the elastic curves for the intervals AB and BC. (b) The point of maximum deflection between the supports. (c) Draw the elastic deflection curve for AC. total: 150 points -- 十年生死兩茫茫　不思量　自難忘　千里孤墳　無處話淒涼 縱使相逢應不識　塵滿面 鬢如霜 夜來幽夢忽還鄉　小軒窗　正梳妝　相顧無言　唯有淚千行 料得年年腸斷處 明月夜 短松岡 --

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