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Two cylindrical beams each support a shear force of 12.3 N. The outside diameter of the hollow beam is 74 mm, and its wall thickness is 3 mm. Determine the diameter of the solid beam that would create the same maximum horizontal shear stress in both beams.

A polymer tee beam has cross-sectional dimensions a = 1.7 mm, b = 6.7 mm, c = 2.1 mm, and d = 3.0 mm. Determine the vertical distance from the bottom of the beam to the centroid.

A polymer beam of length L = 79 mm supports a load of P = 2.4 N at its center. The beam has cross-sectional dimensions b = 2.7 mm and h = 8.3 mm. Determine the magnitude of the maximum horizontal shear stress.

A polymer tee beam has cross-sectional dimensions a = 1.7 mm, b = 6.9 mm, c = 2.4 mm, and d = 3.0 mm. Determine the vertical distance from the bottom of the beam to the centroid.

A polymer beam of length L = 72 mm supports a load of P = 4.8 N at its center. The beam has cross-sectional dimensions b = 2.3 mm and h = 7.9 mm. Determine the magnitude of the horizontal shear stress at H, which is located a = 1.6 mm from the top.

A polymer tee beam has cross-sectional dimensions a = 2.1 mm, b = 7.9 mm, c = 2.1 mm, and d = 3.4 mm. Determine the vertical distance from the bottom of the beam to the centroid.

A polymer beam of length L = 70 mm supports a load of P = 2.4 N at its center. The beam has cross-sectional dimensions b = 2.7 mm and h = 8.2 mm. Determine the value of Q that would be used to calculate the maximum horizontal shear stress.

A polymer tee beam has cross-sectional dimensions a = 1.9 mm, b = 7.6 mm, c = 2.2 mm, and d = 3.2 mm. Determine the vertical distance from the bottom of the beam to the centroid.

A polymer tee beam has cross-sectional dimensions a = 2.0 mm, b = 6.5 mm, c = 2.0 mm, and d = 3.3 mm. Determine the vertical distance from the bottom of the beam to the centroid.

A polymer beam of length L = 74 mm supports a load of P = 4.2 N at its center. The beam has cross-sectional dimensions b = 2.1 mm and h = 7.2 mm. Determine the magnitude of the horizontal shear stress at H, which is located a = 1.4 mm from the top.