A polymer beam of length L = 75 mm and a = 29 mm supports a load of P = 4.2 N at both ends. The beam has cross-sectional dimensions b = 2.9 mm and h = 7.3 mm. Determine the magnitude of the maximum horizontal shear stress in the beam.

A polymer beam of length L = 72 mm and a = 22 mm supports a load of P = 5.0 N at both ends. The beam has cross-sectional dimensions b = 2.7 mm and h = 7.7 mm. Determine the magnitude of the maximum horizontal shear stress in the beam.

A 36-mm-diameter solid steel shaft supports the loads shown. The ground reactions and shear-force diagram are shown. Determine the magnitude of the maximum horizontal shear stress in the shaft.

A 14-ft-long simply supported timber beam carries a P = 5-kip concentrated load at midspan as shown. The cross-sectional dimensions of the timber are also shown. At section a-a, determine the magnitude of the shear stress in the beam at point K.

A polymer beam of length L = 74 mm and a = 30 mm supports a load of P = 3.8 N at both ends. The beam has cross-sectional dimensions b = 2.3 mm and h = 9.0 mm. Determine the magnitude of the maximum horizontal shear stress in the beam.

A concentrated load of P = 29 kN is applied to the upper end of a 3-m-long pipe as shown. The outside diameter of the pipe is D = 330 mm and the inside diameter is d = 300 mm. Determine the magnitude of the maximum vertical shear stress in the pipe.

A concentrated load of P = 24 kN is applied to the upper end of a 3-m-long pipe as shown. The outside diameter of the pipe is D = 330 mm and the inside diameter is d = 300 mm. Determine the magnitude of the maximum vertical shear stress in the pipe.

For a beam with the cross-section shown (w = 12.0 in. and h = 18.0 in.), find the distance from the bottom surface of the beam to the centroid.

A concentrated load of P = 35 kN is applied to the upper end of a 2-m-long pipe as shown. The outside diameter of the pipe is D = 330 mm and the inside diameter is d = 300 mm. Determine the magnitude of the maximum vertical shear stress in the pipe.

The internal shear force V at a certain section of an aluminum beam is 26 kN. The beam’s centroid is located 54.40 mm above the bottom surface of the beam, and the moment of inertia is Iz = 398,300 mm4. Determine the shear stress at point H, which is located 30 mm above the bottom surface of the beam.