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At a point subjected to plane stress on the surface of a structural-steel member, the stresses are σx = 4 MPa, σy = 88 MPa, and τxy = –85 MPa. Determine the center σcenter of the corresponding in-plane Mohr’s circle.

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I should watch all the class lecture videos and complete the related homework assignments prior to taking exams.

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The strain rosette shown in the figure was used to obtain the following normal strain data at a point on the free surface of a machine part: εa = 662 με, εb = 1,820 με, and εc = 456 με. Poisson’s ratio for the material is ν = 0.33. Determine the strain component εy at the point.

Use the graphical method to construct the shear-force diagram and identify the magnitude of the largest shear force (consider both positive and negative peaks). Use P = 2.71 lb, w = 1.20 lb/in., a = 3.94 in., b = 2.76 in., and c = 5.31 in. The reaction forces for this beam are By = 6.129 lb and Dy = 2.953 lb (both upward).

At a point in a structural-steel member, the stresses are σxx = 90 MPa, σyy = 0 MPa, σzz = 60 MPa, σxy = 0 MPa, σxz = 90 MPa, and σyz = 0 MPa. Determine the largest principal stress σ1.

At a point subjected to plane stress on the surface of a gusset plate, the stresses are σx = 30 ksi, σy = –25 ksi, and τxy = –20 ksi. Determine principal stress σ1 at the point.