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 = 2.68 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 = 6.085 lb and Dy = 2.967 lb (both upward).

At a point in a structural-steel member, the principal stresses are σ1 = 142 MPa, σ2 = 44.1 MPa, and σ3 = –26.1 MPa. Determine the absolute maximum shear stress.

Structure ABC is subjected to load P = 19 kN. Determine the vertical reaction force at B. Assume L1 = 2.7 m, L2 = 2.1 m, and EI = 6.7 x 107 N·m2. Only consider the strain energy related to bending moments.

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 shear stress τxy.εxx = 0.0040εyy = 0.0006εxy = 0.0008

At a point in a structural-steel member, the stresses are σxx = 20 MPa, σyy = 50 MPa, σzz = 80 MPa, σxy = 10 MPa, σxz = 70 MPa, and σyz = 60 MPa. Determine the third stress invariant I3.

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

Structure ABC is subjected to load P = 15 kN. Determine the vertical reaction force at B. Assume L1 = 2.8 m, L2 = 2 m, and EI = 6.7 x 107 N·m2. Only consider the strain energy related to bending moments.

Structure ABC is subjected to load P = 10 kN. Determine the vertical reaction force at B. Assume L1 = 2.9 m, L2 = 2.3 m, and EI = 7.6 x 107 N·m2. Only consider the strain energy related to bending moments.

Consider a point on the free surface of a structure made of 2024-T4 aluminum [E = 74.5 GPa, ν = 0.33] that is tangent to the (x,y) plane. Determine the smallest principal strain ε3 for the following stresses.σxx = 230 MPaσyy = –120 MPaσxy = –130 MPa

The nonzero strain components at a critical point in a machine component made of 7075-T6 aluminum [E = 72 GPa, ν = 0.33] are measured on a free surface as follows. Determine the corresponding absolute maximum shear stress τabs max.εxx = 0.0023εyy = 0.0007εxy = 0.0010