Three toy blocks are glued together to form a beam that supports a vertical shear force of 99 N. Each block has dimensions a = 9 mm and b = 27 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 175,507 mm4.
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Two toy blocks are stacked to form a tee-shape. Each block h…
Two toy blocks are stacked to form a tee-shape. Each block has dimensions a = 22.3 mm and b = 66.9 mm. Determine the vertical distance from the table to the centroid of the shape.
A 2,580-lb dinosaur stands on a simply-supported beam. Deter…
A 2,580-lb dinosaur stands on a simply-supported beam. Determine the maximum bending moment in the beam. Let a = 7.6 ft and b = 5.1 ft.
Loads P = 847 N and Q = 417 N act on an oak beam. Determine…
Loads P = 847 N and Q = 417 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 = 0.4 m and b = 1.1 m.
Four toy blocks are stacked to form a hollow-rectangular-tub…
Four toy blocks are stacked to form a hollow-rectangular-tube shape. Each block has dimensions a = 17 mm and b = 51 mm. Determine the moment of inertia about the horizontal centroidal axis for the shape.
A 40-N eagle sits on a tee-shaped post that has a diameter o…
A 40-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 = 0.30 m be the distance from the eagle to the centroid of the post.
A 1,510-lb dinosaur stands on a simply-supported beam. Deter…
A 1,510-lb dinosaur stands on a simply-supported beam. Determine the maximum bending moment in the beam. Let a = 6.6 ft and b = 9.4 ft.
A cylindrical beam supports a shear force of 12.5 kN. The ou…
A cylindrical beam supports a shear force of 12.5 kN. The outside diameter is 80 mm, and the wall thickness is 5 mm. Determine the maximum horizontal shear stress in the beam.
Four toy blocks are stacked to form a hollow-rectangular-tub…
Four toy blocks are stacked to form a hollow-rectangular-tube shape. Each block has dimensions a = 14 mm and b = 42 mm. Determine the moment of inertia about the horizontal centroidal axis for the shape.
A cylindrical beam supports a shear force of 11.5 kN. The ou…
A cylindrical beam supports a shear force of 11.5 kN. The outside diameter is 46 mm, and the wall thickness is 4 mm. Determine the maximum horizontal shear stress in the beam.