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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

A machine part made of AISI-C 1018 cold drawn [E = 200 GPa, ν = 0.29] is subjected to a state of plane strain (εzz = εzx = εzy = 0). Determine σzz for the following stresses.σxx = 60 MPaσyy = –95 MPaσxy = 30 MPa

A 0.6-m-long steel [G = 80 GPa] channel is subjected to a torque of 690 N·m. Determine the unit angle of twist of the channel. Assume bf = 90 mm, tf = 11 mm, d = 180 mm, and tw = 8 mm.

The design loads of a member made of a brittle material produce the following nonzero stress components at a critical section in the member. The ultimate strength of the material is 420 MPa. Determine the factor of safety used in the design based on the maximum principal strain criterion. Assume ν = 0.22.σxx = –90 MPaσyy = 70 MPaσxy = 80 MPa

A 0.930-in.-diameter automotive sway bar failed when the shear stress reached 89 ksi on the outer surface. Assuming the sway bar did not yield prior to failure, determine the torque that caused this failure.

Structure ABC is subjected to load P = 12 kN. Determine the vertical reaction force at B. Assume L1 = 2.6 m, L2 = 2.1 m, and EI = 7.3 x 107 N·m2. Only consider the strain energy related to bending moments.

The design loads of a member made of a brittle material produce the following nonzero stress components at a critical section in the member. The ultimate strength of the material is 520 MPa. Determine the factor of safety used in the design based on the maximum principal strain criterion. Assume ν = 0.20.σxx = –110 MPaσyy = 60 MPaσxy = 120 MPa

At a point subjected to plane stress on the surface of a gusset plate, the stresses are σx = –100 MPa, σy = –90 MPa, and τxy = –20 MPa. Determine principal stress σ1 at the point.