A steel ring is rotated about its diameter until the stress becomes 140MPa. Find the peripheral velocity.

In designing a cylindrical pressure tank 1m in diameter, a factor of safety 2.5 is used. The cylinder is made of steel (σyield = 200MPa) and will contain pressures up to 7MPa. What is the required wall thickness based on circumferential stress condition?

A 200-meter cable is suspended vertically. At any point along the cable, the strain is proportional to the length of the cable below the point. If the strain at the top of the cable is 0.001, determine the total elongation of the cable.

How much water overflows when a Pyrex vessel filled to the brim with 1L of water at 20°C is heated to 90°C. The coefficient of volume expansion of Pyrex and water are 9x10^-6/°C and 2.1x10^-4/°C respectively?

Given a shear stress of τxy = 35,000kPa and a shear modulus of G = 75GPa, the shear strain is most nearly,

What is most nearly the lateral strain εy of the steel specimen with cross sectional area of 0.04m^2 and acted upon by a tensile force of 3000kN if E = 193GPa and µ = 0.29?

A hollow circular bar has an inner radius r₁ and an outer radius r₂. If r₁ = ½ r₂, most nearly what percentage of torque can the shaft carry in comparison with a solid shaft?

Of the following solid shaft diameters, which is the smallest that can be used for the rotor of a 4.5kW motor operating at 3500rpm, if the maximum shear stress for the shaft is 60 MPa?

A helical spring is made of 20mm diameter steel wire of 20 turns on a mean coil diameter of 160mm. If subjected to a tensile load of 2kN, find the maximum stress in the spring in MPa.

A helical spring is made of 20mm diameter steel wire of 20 turns on a mean coil diameter of 160mm. If subjected to a tensile load of 2kN, find the elongation in the spring.

A simply supported beam at both ends is 6m long and with a rectangular cross-section which is 200mm wide and 400mm deep. If it is loaded by a uniformly distributed load of intensity 50kN/m, find the section modulus in cu.mm.

A simply supported beam at both ends is 6m long and with a rectangular cross-section which is 200mm wide and 400mm deep. If it is loaded by a uniformly distributed load of intensity 50kN/m, find the maximum bending moment in kN-m.

A simply supported beam at both ends is 6m long and with a rectangular cross-section which is 200mm wide and 400mm deep. If it is loaded by a uniformly distributed load of intensity 50kN/m, find the flexural stress in MPa.

A simply supported beam at both ends is 6m long and with a rectangular cross-section which is 200mm wide and 400mm deep. If it is loaded by a uniformly distributed load of intensity 50kN/m, find the maximum deflection in mm if E= 10 x 10^3 MPa.

A 1000 kg homogeneous bar AB 2m long is supported horizontally by 2 vertical cables AC and BD each 1.8 m long and connected at both ends of the bar. Each cable has a cross sectional area of 400 mm². Determine the largest additional force acting downward which can be applied at the bar and its location from point A if the stresses of cables AC and BD are limited to 100 MPa and 50 MPa respectively.

If the principal stresses on the body are σl = 400kPa, σ2= -700kPa and σ3 = 600kPa, what is the maximum shear stress?

What is the change in length (in cm) of a steel bar that is heated to 125°C, where coefficient of expansion for steel = 12 microohm/cm/°C and a length = 3 m?

A cantilever box beam 3m long has a cross-section which is 140 mm by 200mm total dimension and made of 30mm thick plates. What is the maximum concentrated load that can be applied at the free end if the flexural stress is not to exceed 70 MPa.

A solid steel shaft 5m long is stressed to 60 MPa when twisted through 4°. Using G = 83 GPa, compute the shaft diameter.

A wood cantilever 12m high has 20cm diameter at the bottom and 10cm diameter at the top. If the breaking stress is 35 MN/m², find the applied force at failure point.

A driver fills a 20 L can with gasoline at 15°C up to the top. He forgets to put the cap and leave the can at the back of his truck. At 1pm the temperature becomes 30°C. How much gasoline spills out of the can. Assume linear expansion of the can material to be 12 x 10-6/°C and the volumetric expansion of gasoline to be 950 x 10-6/°K

The Poisson’s ratio for a homogeneous bar is 1/3. If the bar is subjected to a tensile load, the strain developed is 1/800. Find the change in volume per unit in the material.

An archer aims his bow upward and pulls the string of his arrow with a force of 80N. The strings make an angle of 25° with the vertical. Find the tension in the string.

A simply supported beam at both ends is 6m long and with a rectangular cross-section which is 200mm wide and 400mm deep. If it is loaded by a uniformly distributed load of intensity 50kN/m, find the section modulus in cu.mm.

Hexagonal nuts for 6.25mm diameter bolts have a height of 5.5mm. If the ultimate strength of the nut material in shear is 103MPa, what is the most nearly the maximum allowable shear force on the nut thread using a safety factor of 5?

A circular rod is stretched by a force of 3 kN. Solve the diameter of the rod if the stress is not to exceed 153 MPa.

A 4-m long simply supported beam has a section modulus of 1408 x 10^3 mm^3. The allowable stress in the beam is not to exceed 100 MPa. The maximum distributed load that the beam can carry is most nearly,

A prismatic bar with a circular cross section is loaded by tensile forces P 65 kN. The bar has length L = 1.75 m and diameter d = 32 mm. It is made of aluminum alloy with modulus of elasticity E = 75 GPa and Poisson's ratio is 1/3. Find the percentage decrease in the cross-sectional area.

A structural material has a modulus of elasticity of 8 x 10^6 psi and a modulus of rigidity of 3.2 x 10^6 psi. Find the value of the Poisson's ratio.

A steel bar with cross section of 100 mm x 20 mm is 450 mm in length. The bar is subjected to an axial compressive load of 265 kN on its cross section. Assume modulus of elasticity of steel is 210 GPa and Poisson's ratio is 0.3. Find the final thickness of the bar,