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 [E = 9.0 GPa] timber that is reinforced on its lower surface by a steel [E = 200 GPa] plate. Assume the following dimensions:b1 = 150 mmd = 325 mmb2 = 100 mmt = 14 mmCalculate the distance to the centroid of the transformed section from the bottom surface of the steel plate.

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 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.

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 = 175 mmd = 350 mmb2 = 125 mmt = 12 mmCalculate the distance to the centroid of the transformed section from the bottom surface of the steel plate.

Load P = 8.0 lb is produced at the nylon tip of a Regal Tip Quantum 1000 drumstick as a percussionist strikes a drumhead. The hickory shaft has a diameter of 0.53 in. and a length of L = 10.0 in. from the center of the tip to the percussionist’s hand. Assuming the percussionist’s hand acts like a fixed support and that the shaft has a constant diameter, determine the magnitude of the maximum horizontal shear stress in the shaft.

Loads P = 455 N and Q = 675 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 = 1.8 m.

A toy block and a cylinder are stacked to form a composite shape. The block has dimensions a = 30 mm and b = 90 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 70.022 mm above the table.

A 36-N eagle sits on a tee-shaped post that has a diameter of 49 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 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.