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Problem #1 A cylindrical rod of copper (E 110 GPa) having a yield strength of 240 MPa is to be subjected to a load of 6660 N. If the length of the rod is 380 mm, what must the diameter be to allow an elongation of 0.50 mm? A cylindrical specimen of some alloy 8 mm in diameter is stressed elastically in tension. A force of 15,700 N produces a reduction in the specimen diameter of 5 10-3 mm. Compute Poissons ratio for this alloy if its Youngs Modulus is 140 GPa. Problem# 3 A cylindrical metal specimen having an original diameter of 12.8 mm and gauge length of 50.8 mm is pulled in tension until fracture occurs. The diameter at the point of fracture is 6.6 mm, and the fractured gauge length is 72.14 mm. Calculate the ductility in terms of both percent reduction in area and percent elongation. Problem#4 A cylindrical specimen of aluminum having a diameter of 19 mm and length of 200 mm is deformed elastically in tension with a force of 48,800 N. Determine the following: (a) The amount by which thik specimen will elongate in the direction of the applied stress. (b) The change in diameter of the specimen. Will the diameter increase or decrease? ProblemH 5 A cylindrical bar of steel 10 mm in diameter is to be deformed elastically by application of a force along the bar axis. Determine the force that will produce an elastic reduction of 3 x 10-3 mm in the diameter
Problem# 6 A cylindrical rod 100 mm long and having a diamete r of 10.0 mm is to be deformed using a tensile load of 27,500 N. It must not formation or a diameter reduction of more than 7.5 103 mm. Of the materials listed as follows which are possible candidates? Justify your choice/s. Poissons Ratio Modulus of Elasticity GPa) 70 101 207 107 Yield Strengtih Material Aluminum alloy Brass alloy Steel alloy Titanium alloy (MPa) 200 300 400 650 0.33 0.34 0.30 0.34
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