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If Mz = 14,000 lb-ft, find the magnitude of the bending stress at a point H. For the beam cross section, assume b = 6.250 in. c = 2.500 in. d = 4.375 in.t = 0.625 in. The centroid of the cross section is located 2.321 in. above the bottom surface of the beam. The moment of inertia about the z axis is 27.9309 in.4.

Loads P = 390 N and Q = 860 N act on an oak beam. Determine the magnitude of the largest bending moment (consider both positive and negative values) in the beam. Let a = 0.5 m and b = 1.6 m.

A 65-lb child and a 162-lb adult are on an oak beam. Determine the magnitude of the largest shear force (consider both positive and negative values) in the beam. Let a = 22 in., b = 49 in., and c = 21 in.

A polymer beam of length L = 72 mm supports a load of P = 2.0 N at its center. The beam has cross-sectional dimensions b = 2.2 mm and h = 7.4 mm. Determine the value of Q that would be used to calculate the maximum horizontal shear stress.

Load P = 2.6 lb is produced at the tip of a Regal Tip Elite 7B drumstick as a percussionist strikes a drumhead. The hickory shaft has a diameter of 0.61 in. and a length of L = 12.0 in. from the center of the tip to the percussionist’s hand. Assuming the percussionist’s hand acts like a fixed support and that the shaft has a constant diameter, determine the magnitude of the maximum horizontal shear stress in the shaft.

Load P = 0.8 lb is produced at the tip of a mallet as a percussionist strikes an instrument. The tip of the mallet is a rubber ball. The wooden shaft has a diameter of 0.30 in. and a length of L = 4.5 in. from the center of the tip to the percussionist’s hand. Assuming the percussionist’s hand acts like a fixed support, determine the maximum bending stress in the shaft.

A toy block and a cylinder are stacked to form a composite shape. The block has dimensions a = 11 mm and b = 33 mm. The cylinder has a diameter of b. Determine the moment of inertia about the horizontal centroidal axis for the shape which is located 20.945 mm above the table.

A polymer beam of length L = 78 mm supports a load of P = 3.7 N at its center. The beam has cross-sectional dimensions b = 2.2 mm and h = 7.8 mm. Determine the value of Q that would be used to calculate the maximum horizontal shear stress.

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.