Three toy blocks are stacked to form a channel shape. Each block has dimensions a = 24 mm and b = 72 mm. Determine the vertical distance from the table to the centroid of the shape.

Loads P = 460 N and Q = 685 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 = 1.7 m.

A 39-N eagle sits on a tee-shaped post that has a diameter of 55 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 82-lb child and a 27-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 = 20 in., b = 31 in., and c = 41 in.

A 77-lb child and a 34-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 = 20 in., b = 32 in., and c = 42 in.

Loads P = 430 N and Q = 740 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 = 0.6 m and b = 1.9 m.

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.

A 63-lb child and a 158-lb adult are on an oak beam. Determine the magnitude of the largest shear force (consider both positive and negative values) in the beam. Let a = 33 in., b = 52 in., and c = 25 in.

A composite beam consists of a Southern pine timber that is reinforced on its lower surface by a steel plate. Assume the following dimensions:b1 = 125 mmd = 225 mmb2 = 75 mmt = 18 mmCalculate the distance to the centroid of the transformed section from the bottom surface of the steel plate.

Determine the magnitude of the moment MA for the cantilever beam, where w = 10 kN/m, M = 13 kN-m, and L = 8 m.