Chapter 13.3, Problem 49P

An extruded aluminum beam has the cross section shown. Knowing that the vertical shear in the beam is 150 kN, determine the corresponding shearing stress at (a) point a, (b) point b.

For the wide-flange beam with the loading shown, determine the largest load P that can be applied, knowing that the maximum normal stress is 160 MPa and the largest shearing stress is 100 MPa. W360 x 122 B

A composite beam is made by attaching the timber and steel portions shown with bolts of 12-mm diameter spaced longitudinally every 200 mm. The modulus of elasticity is 10 GPa for the wood and 200 GPa for the steel. For a vertical shear of 4 kN, determine (a) the average shearing stress in the bolts, (b) the shearing stress at the center of the cross section.

two 20 x 100-mm and two 20 x 180 mm boards are glued together as shown to form a 120 x 200 mm box beam. Knowing that the beams are subjected to a vertical shear of 3.625 kN.  Determin the average shearing stress in the glued joint at B

The wooden members A and B are to be joined by plywood splice plates that will be fully glued on the surfaces in contact. As part of the design of the joint, and knowing that the clearance between the ends of the members is to be 8 mm, determine the smallest allowable length L if the average shearing stress in the glue is not to exceed 800 kPa.

For the wide-flange beam with the loading shown, determine the largest load P that can be applied, knowing that the maximum normal stress is 24 ksi and the largest shearing stress using the approximation τm= V/Aweb is 14.5 ksi.

Three 1 x 18-in. steel plates are bolted to four L6 x 6 x 1 angles to form a beam with the cross section shown. The bolts have a 78-in. diameter and are spaced longitudinally every 5 in. Knowing that the allowable average shearing stress in the bolts is 12 ksi, determine the largest permissible vertical shear in the beam. (Given: Ix= 6123 in4.)

Two 20 × 100-mm and two 20 × 180-mm boards are glued together as shown to form a 120 × 200-mm box beam. Know that the beam is subjected to a vertical shear of 3.625 kN. Determine the average shearing stress in the glued joint at B.

The extruded aluminum beam shown has a uniform wall thickness of 1/8 in. Knowing that the vertical shear in the beam is 2 kips, determine the corresponding shearing stress at each of the five points indicated.