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A polymer beam of length L = 78 mm and a = 22 mm supports a load of P = 4.9 N at both ends. The beam has cross-sectional dimensions b = 2.0 mm and h = 8.5 mm. Determine the magnitude of the maximum horizontal shear stress in the beam.

Two bars have the same moment of inertia around their horizontal centroidal axes. The hollow bar has an outside diameter of 3.400 in. and a wall thickness of 0.680 in. Determine the diameter of the solid bar.

A concentrated load of P = 22 kN is applied to the upper end of a 5-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 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 = 11 mm below the centroid.

The internal shear force V at a certain section of an aluminum beam is 44 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.

For a beam with the cross-section shown (w = 14.5 in. and h = 23.0 in.), find the distance from the bottom surface of the beam to the centroid.

A 29-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 = 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 polymer beam of length L = 79 mm and a = 23 mm supports a load of P = 4.5 N at both ends. The beam has cross-sectional dimensions b = 2.3 mm and h = 8.9 mm. Determine the magnitude of the maximum horizontal shear stress in the beam.

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.