A concentrated load of P = 35 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 14-ft-long simply supported timber beam carries a P = 17-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 H.

Loads P = 757 N and Q = 443 N act on an oak beam. Determine the magnitude of the largest shear force (consider both positive and negative values) in the beam. Let a = 0.6 m and b = 1.0 m.

For a beam with the cross-section shown (w = 14.5 in. and h = 20.5 in.), find the distance from the bottom surface of the beam to the centroid.

The internal shear force V at a certain section of a steel beam is 80 kN, and the moment of inertia is 64,867,500 mm4. Determine the horizontal shear stress at point H, which is located L = 31 mm below the centroid.

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 14-ft-long simply supported timber beam carries a P = 10.5-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 H.

A 14-ft-long simply supported timber beam carries a P = 15-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 H.

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.

A polymer beam of length L = 77 mm and a = 22 mm supports a load of P = 2.1 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.