MATSCI 401 Mechanic Properties of Materials
Midterm Exam
Fall 2022
Name:______________
1. (25 points) A 2 x 4 x 100 inch bar elongates 0.1 inch under an axial load of 240 kips along its
length. After the load is applied, the 4-inch side measures 3.9988 inch. Determine the following
properties of the material:
• The modulus of elasticity, E
• Poisson’s ratio, ν
1
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2. (25 points) The L-shaped loading platform frame is supported by a steel shear pin at C and by a tie
rod AB. Both the shear pin and the tie rod are to be sized (designed) with a factor of safety FS =
3, the tie rod with respect to tensile yielding and the shear pin with respect to shear failure. The
strength properties of the rod and pin are: σy = 680 MPa and τu = 680 MPa. The lengths are L1 =
1.5m and L2 = L3 = 2m. If W = 20 KN,
• What is the minimum tie rod diameter dr?
• What is the minimum diameter dp of shear pin C?
2
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3. (25 points) The assembly consists of a steel rod CB and an aluminum rod BA, each having a
diameter of 20 mm. If the rod is subjected to the axial loadings at A and at the coupling B, determine
the deformation of the coupling B and the end A. The upstretched length of each segment is shown
in the figure. Neglect the size of the connections at B and C, and assume that they are rigid. Est =
200 GPa, Eal = 70 GPa.
3
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4. (25 points) The A-36 steel plate has a thickness of 12 mm. If there are shoulder fillets at B and C,
and the allowable stress of 150 MPa, determine the maximum axial load P that it can support.
5.
4
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