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 yield strength (0.20% offset).

Determine the distance e to the shear center O for the beam cross section. Assume the following dimensions and moment of inertia.b = 35 mmh = 55 mmt = 3 mmI = 491,700 mm4

Determine the total strain energy U in the rectangular beam due to both bending moment and shear force. Assume w = 18 kN/m, L = 0.65 m, b = 30 mm, h = 75 mm, E = 200 GPa, and G = 76 GPa.

A brittle material has an ultimate strength of 470 MPa. A member made of this material is subjected to its design loads. At the critical point in the member, the nonzero stress components are as follows. Determine the factor of safety used in the design based on the maximum principal stress criterion.σxx = 100 MPaσyy = 70 MPaσxy = 90 MPa

The nonzero strain components at a critical point in a machine component made of ASTM A36 structural steel [E = 200 GPa, ν = 0.29] are measured on a free surface as follows. Determine the corresponding stress σyy.εxx = 0.0037εyy = 0.0009εxy = 0.0005

For the shape below, assume the following dimensions:b = 80 mmd = 120 mmt = 10 mmThe vertical distance from point H to the centroid is 86.923 mm. The horizontal distance from point H to the centroid is 26.538 mm. Determine the product of inertia Iyz with respect to the y and z centroidal axes.

Determine the total strain energy U in the rectangular beam due to both bending moment and shear force. Assume w = 18 kN/m, L = 0.70 m, b = 40 mm, h = 70 mm, E = 220 GPa, and G = 78 GPa.

A thin-wall brass [G = 26.7 GPa] tube with an equilateral triangular cross section is subjected to a torque of 24 N·m. The mean length of one side of the triangle is 23 mm, and the wall thickness is 2.1 mm. Determine the maximum shear stress.

A 14-ft-long simply supported timber beam carries load P = 4.0 kip at midspan. Load P and the ground reactions all lie in a plane that forms an angle θ = 16° counterclockwise from the y axis. Determine the magnitude of the maximum bending stress in the beam.

A thin-wall brass [G = 24.7 GPa] tube with an equilateral triangular cross section is subjected to a torque of 30 N·m. The mean length of one side of the triangle is 23 mm, and the wall thickness is 2.0 mm. Determine the maximum shear stress.