Strength of Materials – Exam

The girder of a simple log bridge supports a wheel load W acting at any position along the span. In addition, the weight of one log and the planks it supports is equivalent to a uniform load of 850 N/m acting on the log

Determine the maximum permissible wheel load W based upon an allowable bending stress of 7.0 MPa

Timbers 12 in by 12 in, spaced 3 ft apart on centers, are driven into the ground and act as cantilever beams to back up the sheet piling of a cofferdam. Water weighs = 62.5 lb/cu.ft. Calculate the maximum moment timber can resist if its allowable flexural stress is 1200 psi.

A solid steel shaft, 8 m long, 100 mm in diameter is subjected simultaneously to an axial compressive force of 600 kN and a torque T that twists the shaft through 1.5°. If the shear modulus of steel is 80 GPa, find the following:The torque T in kN·m acting on the shaft.

A water tank 3m in diameter and 6m high is made from a steel having a thickness of 12mm.When the tank is filled with water, determine the circumferential stress.

A hollow right circular cylinder is made of cast iron and has an outside diameter of 75 mm and an inside diameter of 60 mm. If the cylinder is loaded by an axial compressive force of 50 kN, determine the total shortening, in mm, in a 600-mm length. Take the modulus of elasticity to be 100 GPa and neglect any possibility of lateral buckling of the cylinder

Steel railroad rails 10 m long are laid with a clearance of 3 mm at a temperature of 15°C.  At what temperature, in ^oC, will the rails just touch?  Use coefficient of linear expansion for steel is α = 11.7 μm/(m·°C) and E = 200 GPa. Clue: ΔL = α*L*ΔT

A timber beam 80 mm wide by 160 mm high is subjected to a vertical shear 40 kN.  Determine maximum the shearing stress, in MPa. Clue: f_vmax = 3V/2A

A 50-mm diameter bar is used as a simply supported beam 3 m long.  Determine the largest uniformly distributed load if the flexural stress is limited to 50 MPa. Answer in N/m. Clue: f_b = Mc/I

A simply supported beam 120  mm wide, 180 mm deep, and 6 m long carries a uniformly distributed load of 4 kN/m over the entire span.  Calculate the maximum deflection in mm if E = 200 GPa. Clue: y­_max= 5wL⁴/384EI

A simply supported beam is 10m long and is carrying a concentrated load of 100 kN at its midspan. Which of the following most nearly gives the maximum bending moment, in kN-m?

A simply supported beam 5m long is carrying a uniformly distributed load of 10 kN/m. Which of the following most nearly gives the maximum bending moment, in kN-m?

A beam with simple supports is subjected to a linearly varying load from 1.0 kN/m at the left end to 3.0 kN/m at the right end.

Calculate location, in meters, of the section from support A where the bending moment is maximum.

If a solid circular shaft of 1.25 in diameter is subjected to a torque T of 2500 Ib-in causing an angle of twist of 3.12 in a 5 ft length. Determine the shear modulus of the material in × 10³Ib/in².

A simply supported rectangular beam, 50 mm wide by 100 mm deep, carries a uniformly distributed load of 1.20 kN/m over its entire length. What is the maximum length of the beam if the flexural stress is limited to 21 MPa?

A 50-mm diameter bar is used as a simply supported beam 3 m long. Determine the largest uniformly distributed load that can be applied over the right two-thirds of the beam if the flexural stress is limited to 50 MPa.

A force of 10 N is applied to one end of a 10 inch diameter circular rod. Calculate the stress

An iron column of annular cross-section has an outer diameter of 200 mm. and is subjected to a force of 75 kN. Find the thickness of the wall if the allowable compressive stress is 10 MPa

A 30 m. long aluminum bar is subjected to a tensile stress of 175 MPa. Find the elongation if E = 69116 MPa.

A metal specimen 36 mm. in diameter has a length of 360 mm. A force of 300 kN elongates the length by 1.20 mm. What is the modulus of elasticity?

The maximum allowable torque, in kN-m, for a 50 mm diameter steel shaft when the allowable shearing stress is 81.5 MPa is___?