A toy block and a cylinder are stacked to form a composite shape. The block has dimensions a = 14 mm and b = 42 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 32.677 mm above the table.

A 66-lb child and a 24-lb cardboard box are on an oak beam. Determine the magnitude of the largest shear force (consider both positive and negative values) in the beam. Let a = 23 in., b = 31 in., and c = 40 in.

A composite beam consists of a Southern pine [E = 9.0 GPa] timber that is reinforced on its lower surface by a steel [E = 200 GPa] plate. Assume the following dimensions:b1 = 125 mmd = 250 mmb2 = 75 mmt = 14 mmCalculate the distance to the centroid of the transformed section from the bottom surface of the steel plate.

Loads P = 370 N and Q = 665 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 = 0.6 m and b = 1.6 m.

Three toy blocks are stacked to form a channel shape. Each block has dimensions a = 13 mm and b = 39 mm. Determine the vertical distance from the table to the centroid of the shape.

A 67-lb child and a 17-lb cardboard box are on an oak beam. Determine the magnitude of the largest shear force (consider both positive and negative values) in the beam. Let a = 26 in., b = 35 in., and c = 49 in.

Loads P = 460 N and Q = 685 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 = 1.7 m.

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 0.28 in. and a length of L = 5.1 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 53-N eagle sits on a tee-shaped post that has a diameter of 45 mm. Determine the magnitude of the largest normal stress in the vertical part of the post. Let a = 0.40 m be the distance from the eagle to the centroid of the post.

A toy block and a cylinder are stacked to form a composite shape. The block has dimensions a = 14 mm and b = 42 mm. The cylinder has a diameter of b. Determine the moment of inertia about the horizontal centroidal axis for the shape which is located 26.657 mm above the table.