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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.

Determine the reaction moment at A. Let w = 2 lb/in., a = 102 in., and EI = 52 × 106 lb·in.2.

Three 25-lb boxes are placed on an oak beam. Determine the vertical reaction force at the left end of the beam. Let a = 71 in. and b = 21 in.

Determine the deflection at C. Let w = 12 lb/in., a = 90 in., b = 30 in., and EI = 54 × 106 lb·in.2.

Determine the deflection at C. Let M = 6,500 lb·in., a = 69 in., b = 33 in., and EI = 106 × 106 lb·in.2.

Determine the deflection at C. Let M = 6,200 lb·in., a = 63 in., b = 35 in., and EI = 251 × 106 lb·in.2.