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Two toy blocks are stacked to form an L-shape. Each block has dimensions a = 30 mm and b = 90 mm. Determine the moment of inertia about the horizontal centroidal axis for the shape which is located 45.00 mm above the table.

Loads P = 849 N and Q = 397 N act on an oak beam. Determine the magnitude of the largest shear force (consider both positive and negative values) in the beam. Let a = 0.5 m and b = 1.5 m.

Five toy blocks are glued together to form a beam that supports a shear force of 84 N. Each block has dimensions a = 14 mm and b = 42 mm. Determine the maximum horizontal shear stress in the beam.

Determine the deflection at C. Let M = 20,000 lb·in., a = 116 in., b = 36 in., and EI = 41 × 106 lb·in.2.

A toy block and a cylinder are stacked to form a composite shape. The block has dimensions a = 21 mm and b = 63 mm. The cylinder has a diameter of b. Determine the vertical distance from the table to the centroid of the shape.

Three toy blocks are glued together to form a beam that supports a vertical shear force of 102 N. Each block has dimensions a = 15 mm and b = 45 mm. Determine the horizontal shear stress in the glue between blocks (1) and (2). The moment of inertia around the horizontal centroidal axis of the beam is 1,354,219 mm4.

A cylindrical beam supports a shear force of 12.0 kN. The outside diameter is 62 mm, and the wall thickness is 5 mm. Determine the maximum horizontal shear stress in the beam.

A cylindrical beam supports a shear force of 15.0 kN. The outside diameter is 56 mm, and the wall thickness is 5 mm. Determine the maximum horizontal shear stress in the beam.

Three 20-lb boxes are placed on an oak beam. Determine the vertical reaction force at the left end of the beam. Let a = 73 in. and b = 27 in.

Determine the magnitude of the slope at B. Let M = 16,200 lb·in., a = 136 in. and EI = 43 × 106 lb·in.2.