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A steel rod with a 1.25-in. gage length and a 0.165-in. diameter is loaded in tension. At the proportional limit, a load of 1,200 lb elongates the gage length by 0.00212 in. and reduces the diameter by 0.000076 in. Determine the modulus of elasticity.

An aluminum bar with a 1.75-in. gage length, 0.240-in. width, and 0.095-in. thickness is loaded in tension. At the proportional limit, a load of 1,000 lb elongates the gage length by 0.00926 in. and reduces the width by 0.00037 in. Determine the modulus of elasticity.

The nonzero strain components at a critical point in a machine component made of AISI-C 1040 normalized steel [E = 200 GPa, ν = 0.29] are measured on a free surface as follows. Determine the corresponding shear stress τxy.εxx = 0.0021εyy = 0.0006εxy = 0.0007

For a beam with the cross-section shown (w = 15.0 in. and h = 21.5 in.), find the distance from the bottom surface of the beam to the centroid.

Consider a point on the free surface of a structure made of AISI-C 1040 normalized steel [E = 200 GPa, ν = 0.29] that is tangent to the (x,y) plane. Determine the smallest principal strain ε3 for the following stresses.σxx = 170 MPaσyy = –80 MPaσxy = –180 MPa

The nonzero strain components at a critical point in a machine component made of 2024-T4 aluminum [E = 74.5 GPa, ν = 0.33] are measured on a free surface as follows. Determine the corresponding stress σyy.εxx = 0.0020εyy = 0.0008εxy = 0.0011

An aluminum rod with a 24.0-in. gage length and a 0.605-in. diameter is loaded in tension. At the proportional limit, a load of 14,000 lb elongates the gage length by 0.115 in. and reduces the diameter by 0.00073 in. Determine the modulus of elasticity.

A thin-wall brass [G = 28.6 GPa] tube with an equilateral triangular cross section is subjected to a torque of 26 N·m. The mean length of one side of the triangle is 25 mm, and the wall thickness is 2.1 mm. Determine the maximum shear stress.

A tensile test specimen of stainless steel alloy having a diameter of 0.495 in. and a gage length of 2.00 in. was tested to fracture. Stress and strain data obtained during the test are shown. Note that the “Lower scale” is a zoomed-in portion of the Upper scale. Determine the ultimate strength.

The nonzero strain components at a critical point in a machine component made of 6061-T6 aluminum [E = 69 GPa, ν = 0.33] are measured on a free surface as follows. Determine the corresponding shear stress τxy.εxx = 0.0035εyy = 0.0005εxy = 0.0008