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A composite beam consists of a Southern pine [E = 7.5 GPa] timber that is reinforced on its lower surface by a steel [E = 200 GPa] plate. Assume the following dimensions:b1 = 200 mmd = 450 mmb2 = 150 mmt = 12 mmCalculate the distance to the centroid of the transformed section from the bottom surface of the steel plate.

Load P = 0.9 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 = 4 kN/m, M = 18 kN-m, and L = 4 m.

A 52-N eagle sits on a tee-shaped post that has a diameter of 51 mm. Determine the magnitude of the largest normal stress in the vertical part of the post. Let a = 0.35 m be the distance from the eagle to the centroid of the post.

A polymer tee beam has cross-sectional dimensions a = 2.1 mm, b = 7.7 mm, c = 2.5 mm, and d = 3.4 mm. The vertical distance from the bottom of the beam to the centroid is 5.6072 mm. Determine the moment of inertia around a horizontal axis located at the centroid.

If Mz = 35,800 lb-ft, find the magnitude of the bending stress at a point H. For the beam cross section, assume b = 8.750 in. c = 3.500 in. d = 6.125 in.t = 0.875 in. The centroid of the cross section is located 3.250 in. above the bottom surface of the beam. The moment of inertia about the z axis is 107.2992 in.4.

A polymer tee beam of length L = 76 mm supports a load of P = 4.1 N at its center and has a web thickness of b = 2.1 mm. The vertical distance from the bottom of the beam to the centroid is c = 5.0202 mm. The moment of inertia around a horizontal axis located at the centroid is 163.47 mm4. Determine the horizontal shear stress at H, which is located a = 2.9 mm above the bottom of the beam.

A polymer beam of length L = 72 mm supports a load of P = 4.0 N at its center. The beam has cross-sectional dimensions b = 2.0 mm and h = 7.4 mm. Determine the magnitude of the maximum horizontal shear stress.

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

A 81-lb child and a 39-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 = 21 in., b = 32 in., and c = 41 in.