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mechanics materials , Mechanical Engineering

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1) Factor of Safety is calculated by using which of the following set of values? [Select the one best answer from the choices given below.]
Answer
a. Yield Stress and Allowable Stress
b. Fracture Stress and Yield Stress
c. Ultimate Tensile Stress and Allowable Stress
d. Ultimate Tensile Stress and Allowable Stress
e. All of the above



2) Centroids deal with the distribution of which of the following? [Select the one best answer from the choices given below.]
Answer
a. mass
b. area
c. weight
d. pressure
e. none of the above



3) Two rods A and B support a 50-lb lamp, as indicated in the picture below. If the same force is developed in each rod (i.e., FA = FB) and the diameter of rod A is larger than the diameter of rod B, which rod will have the greater stress?

Answer
a. Rod A
b. Rod B
c. Both will have equal stress
d. can not be determined with the given information



4) The elastic portion of the tension stress-strain diagram for an aluminum alloy is shown in the diagram below. The specimen used for the test has a gauge length of 2 in. and a diameter of 0.5 in. When the applied load is 9 kip, the new diameter of the specimen is 0.49935 in. Compute the shear modulus G for the aluminum used. (Hint: Calculate the Poisson''s ratio first and then use the equation for shear modulus G = E/[2(1+v)].) [Select the one best answer from the choices given below.]

Answer
a. 45.8 ksi
b. 4380 ksi
c. 5390 ksi
d. 9000 kip
e. 11,700 ksi


5) The A-36 steel plate shown below has a thickness of 12 mm. If there are shoulder fillets at B and C, and the allowable axial (normal) stress is 150 MPa , determine the maximum axial load P that it can support. [Select the one best answer from the choices given below.]

Answer
a. 77 kN
b. 108 kN
c. 151 kN
d. 7.7 MN
e. 15.1 MN



6) Two aluminum rods AB and AC, shown in diagram below, have diameters of 10 mm and 8 mm, respectively. Determine the largest vertical force P that can be supported. The allowable tensile stress for the aluminum is 150 MPa . [Select the one best answer from the choices given below.]

Answer
a. 7.54 kN
b. 8.33 kN
c. 10.7 kN
d. 11.8 kN

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