Loads P = 370 N and Q = 875 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 = 0.7 m and b = 1.4 m.

Load P = 1.3 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 0.28 in. and a length of L = 5.7 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.

Load P = 0.6 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 0.29 in. and a length of L = 4.2 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.

Three toy blocks are stacked to form a channel shape. Each block has dimensions a = 24 mm and b = 72 mm. Determine the vertical distance from the table to the centroid of the shape.

Determine the magnitude of the moment MA for the cantilever beam, where w = 10 kN/m, M = 22 kN-m, and L = 10 m.

Three toy blocks are stacked to form a channel shape. Each block has dimensions a = 23 mm and b = 69 mm. Determine the vertical distance from the table to the centroid of the shape.

A 62-lb child and a 167-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 = 25 in., b = 54 in., and c = 21 in.

A toy block and a cylinder are stacked to form a composite shape. The block has dimensions a = 25 mm and b = 75 mm. The cylinder has a diameter of b/2. Determine the moment of inertia about the horizontal centroidal axis for the shape which is located 58.351 mm above the table.

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 polymer beam of length L = 80 mm supports a load of P = 3.4 N at its center. The beam has cross-sectional dimensions b = 2.0 mm and h = 8.7 mm. Determine the magnitude of the horizontal shear stress at H, which is located a = 1.7 mm from the top.