# Solution to Problem 506 | Flexure Formula

**Problem 506**

A flat steel bar, 1 inch wide by ¼ inch thick and 40 inches long, is bent by couples applied at the ends so that the midpoint deflection is 1.0 inch. Compute the stress in the bar and the magnitude of the couples. Use E = 29 × 10^{6} psi.

# Solution to Problem 505 | Flexure Formula

**Problem 505**

A high strength steel band saw, 20 mm wide by 0.80 mm thick, runs over pulleys 600 mm in diameter. What maximum flexural stress is developed? What minimum diameter pulleys can be used without exceeding a flexural stress of 400 MPa? Assume E = 200 GPa.

# Solution to Problem 504 | Flexure Formula

**Problem 504**

A simply supported beam, 2 in wide by 4 in high and 12 ft long is subjected to a concentrated load of 2000 lb at a point 3 ft from one of the supports. Determine the maximum fiber stress and the stress in a fiber located 0.5 in from the top of the beam at midspan.

# Solution to Problem 503 | Flexure Formula

**Problem 503**

A cantilever beam, 50 mm wide by 150 mm high and 6 m long, carries a load that varies uniformly from zero at the free end to 1000 N/m at the wall. (a) Compute the magnitude and location of the maximum flexural stress. (b) Determine the type and magnitude of the stress in a fiber 20 mm from the top of the beam at a section 2 m from the free end.

# Solution to Problem 457 | Moving Loads

**Problem 457**

A truck and trailer combination crossing a 12-m span has axle loads of 10, 20, and 30 kN separated respectively by distances of 3 and 5 m. Compute the maximum moment and maximum shear developed in the span.

# Solution to Problem 456 | Moving Loads

**Problem 456**

Three wheel loads roll as a unit across a 44-ft span. The loads are P_{1} = 4000 lb and P_{2} = 8000 lb separated by 9 ft, and P_{3} = 6000 lb at 18 ft from P_{2}. Determine the maximum moment and maximum shear in the simply supported span.

# Solution to Problem 455 | Moving Loads

**Problem 455**

A tractor weighing 3000 lb, with a wheel base of 9 ft, carries 1800 lb of its load on the rear wheels. Compute the maximum moment and maximum shear when crossing a 14 ft-span.

# Solution to Problem 454 | Moving Loads

**Problem 454**

Repeat Prob. 453 using axle loads of 30 kN and 50 kN on a wheel base of 4 m crossing an 8-m span.

# Solution to Problem 453 | Moving Loads

**Problem 453**

A truck with axle loads of 40 kN and 60 kN on a wheel base of 5 m rolls across a 10-m span. Compute the maximum bending moment and the maximum shearing force.