Comparisons of Beam Behavior. Compare the behavior of the three beams designed in Problems...

Comparisons of Beam Behavior. Compare the behavior of the three beams designed in Problems 1, 2 and 3. with regard to shearing force, bending moment, and maximum deflection. Complete the analysis in the manner used in Example Problems 4 through 8. Specify a suitable design for a wooden beam, simply supported at its ends, to cany a uniformly distributed load of 120 lb/ft for a span of 24 ft. The beam must be safe for both bending and shear stresses when made from No. 2 grade southern pine. Then compute the maximum deflection for the beam you have designed. Problem except place an additional support at the middle of the beam, 12 ft from either end. Repeat Problem  except use four supports 8 ft apart.

Problem 1

Comparisons of Beam Behavior. Specify a suitable design for a wooden beam, simply supported at its ends, to cany a uniformly distributed load of 120 lb/ft for a span of 24 ft. The beam must be safe for both bending and shear stresses when made from No. 2 grade southern pine. Then compute the maximum deflection for the beam you have designed.

Problem 2

Comparisons of Beam Behavior. Repeat Problem 1 except place an additional support at the middle of the beam, 12 ft from either end.

Problem 3

Comparisons of Beam Behavior. Repeat Problem 1  except use four supports 8 ft apart.

Problem 4

For the shaft in Problem  compute the deflection if the ends are fixed against rotation instead of simply supported.

Problem 5

For the shaft in Problem 9 compute the deflection if the shaft is 350 nun long rather than 700 mm.

Problem 6

For the shaft in Problem 9  compute the deflection if the diameter is 25 mm instead of 32 mm.

Problem 7

For the shaft in Problem 9  compute the deflection if the load is placed 175 mm from the left support rather than in the center. Compute the deflection both at the load and at the center of the shaft.

Problem 8

A wide-flange steel beam, W12 × 16, carries the load shown in Figure  Compute the deflection at the loads and at the center of the beam.

Problem 9

A round shaft having a diameter of 32 mm is 700 mm long and carries a 3.0-kN load at its center. If the shaft is steel and simply supported at its ends, compute the deflection at the center.