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.

Determine the magnitude of the moment MA for the cantilever beam, where w = 4 kN/m, M = 18 kN-m, and L = 4 m.

A composite beam consists of a Southern pine [E = 8.5 GPa] timber that is reinforced on its lower surface by a steel [E = 200 GPa] plate. Assume the following dimensions:b1 = 175 mmd = 325 mmb2 = 125 mmt = 18 mmCalculate the distance to the centroid of the transformed section from the bottom surface of the steel plate.

If Mz = 13,000 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.

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 = 12 mmCalculate the distance to the centroid of the transformed section from the bottom surface of the steel plate.

Determine the magnitude of the moment MA for the cantilever beam, where w = 7 kN/m, M = 23 kN-m, and L = 3 m.