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A square that was initially a x a in size is deformed into the following shape. If a = 21 mm, b = 6.4 mm, and c = 20 mm, determine the magnitude of the shear strain at B. (Use the small-angle approximation sin γ ≈ tan γ ≈ γ.)

Three plates are connected with two bolts and transmit load P = 7.2 kN. Each plate is 4.0 mm thick, and each bolt has a diameter of 9.5 mm. Determine the average shear stress in the bolts.

A steel [E = 205 GPa, ν = 0.274] rod with a circular cross section is used as a weight hanger. The straight part of the rod is 150-mm long and has a diameter of 5.0 mm. Determine the longitudinal strain in this portion of the rod when it supports a tensile load of 9.8 N.

A steel [E = 195 GPa, ν = 0.326] rod with a circular cross section is used as a weight hanger. The straight part of the rod is 170-mm long and has a diameter of 4.5 mm. Determine the longitudinal strain in this portion of the rod when it supports a tensile load of 12.0 N.

You have an unknown substance with a mass of 32 grams and a volume of 7 cm3. What is the density of the substance?

Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown. If F1 = 35 kips, F2 = 14 kips, F3 = 21 kips, and F4 = 38 kips, determine the absolute value of the axial load in rod (2).

Two plates are connected with two bolts and transmit load P = 6.2 kN. Each plate is 4.9 mm thick, and each bolt has a diameter of 11.0 mm. Determine the average shear stress in the bolts.

A steel [E = 200 GPa, ν = 0.288] rod with a circular cross section is used as a weight hanger. The straight part of the rod is 165-mm long and has a diameter of 4.7 mm. Determine the magnitude of the lateral strain in this portion of the rod when it supports a tensile load of 9.8 N.

A steel [E = 200 GPa, ν = 0.310] rod with a circular cross section is used as a weight hanger. The straight part of the rod is 135-mm long and has a diameter of 4.1 mm. Determine the magnitude of the lateral strain in this portion of the rod when it supports a tensile load of 11.0 N.

A load of 13 kN is applied through a pin connection and a square bearing plate to the end of a beam that has a rectangular cross section. The base of the beam’s cross section is 76 mm and the height is 170 mm. The size of the bearing plate is 86 mm. Determine the bearing stress between the plate and the beam.