110年 - 110 國立臺灣大學_碩士班招生考試_工程科學及海洋工程學研究所乙組:材料力學(D)#100709

(20%) 1. A copper alloy pipe having yield stressσy = 290 MPa is to carry an axial tensile load P = 1500 kN. A factor of safety of 1.8 against yielding is to be used. If the thickness t of the pipe is to be one-eighth of its outer diameter, what is the minimum required outer diameter ?

(a) Assuming that E= 206 GPa, determine the total shortening of the two column nns due to the combined action of the loads P₁and P₂. (10%)

(b) How much additional load P₀ can be placed at the top of the column (point C) if the total shortening

is not to exceed 4.0 mm? (10%)

(a) Assuming that the shear modulus of elasticity is G = 80 GPa, determine the maximum torque Tmax that can be applied to the shaft. (10%)

(b) Repeat part (a) if the shaft is now hollow with inner diameter of 5d/8. Compare Values to corresponding values from part (a). (10%)

(a) simply supported as in the figure part a, or (10%)

(b) has a sliding support at right as in the figure part b. (10%)

(a) Knowing that the maximum tensile stress (principal stress) at the top of the bar at support A is due solely to the weights of the bars is 7.2 MPa, determine the diameter d of the bars. (10%)

(b) If the allowable tensile stress is 10 MPa and each bar has diameter d = 50 mm, what is the maximum downward load P that can be applied at C (in addition to self-weight)? (10%)

110年 - 110 國立臺灣大學_碩士班招生考試_工程科學及海洋工程學研究所乙組:材料力學(D)#100709

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