Determine the magnitude of the moment MA for the cantilever beam, where w = 6 kN/m, M = 12 kN-m, and L = 7 m.

A toy block and a cylinder are stacked to form a composite shape. The block has dimensions a = 18 mm and b = 54 mm. The cylinder has a diameter of b. Determine the moment of inertia about the horizontal centroidal axis for the shape which is located 34.274 mm above the table.

Determine the magnitude of the moment MA for the cantilever beam, where w = 3 kN/m, M = 14 kN-m, and L = 3 m.

Load P = 1.2 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 = 4.4 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.

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

A polymer tee beam has cross-sectional dimensions a = 1.7 mm, b = 7.9 mm, c = 2.1 mm, and d = 3.0 mm. The vertical distance from the bottom of the beam to the centroid is 5.5466 mm. Determine the moment of inertia around a horizontal axis located at the centroid.

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.

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.

A composite beam consists of a Southern pine timber that is reinforced on its lower surface by a steel 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.

Load P = 2.0 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 0.27 in. and a length of L = 5.5 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.