ESAS - Strength of Materials

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.