An elastic isotropic body is in a hydrostatic stress as shown in the fig. For no change in the volume to occur, what should be its poisson ratio?

A sample of a metal is tested in tension, and it is found that there is a strain of 0.0100 at a corresponding stress of 520 N/mm2. On the removal of the load a permanent strain of 0.0020 is found to be present. The value of modulus of elasticity for the metal

A beam having a constant solid rectangular cross section is subjected to pure bending. The longitudinal strain at a point A on the cross section is 3.0 × 10 -5. If the youngs modulus of the material of the beam is 200 Gpa, the maximum tensile stress at top fibre is ( in Mpa )

A rectangular plain concrete beam has an overall depth of 600 mm. Under a certain loading, the compressive and tensile strains developed at the extreme fibers are equal in magnitude and are equal to 3.0 × 10⁻⁴. What is the curvature of the beam cross section? (in m^-1

The shear force diagram of a loaded beam is shown in figure. The maximum bending moment is  --------- kNm

In case of bending of beams of circular cross section the maximum shear stress is larger than the average shear stress

If the normal cross section ‘A’ of a member is subjected to tensile force ‘P’ the resulting normal stress on an inclined plane at an angle θ to transverse plane will be

A metallic rod of 500mm length and 50mm diameter, when subjected to a tensile force of 100KN at the ends, experiences an increase in its length by 0.5mm and a reduction in its diameter by 0.015mm. The poissons ratio of the rod material is 

Find the Minimum diameter of a steel wire, which is used to raise a load of 4000N if the stress in the wire is not to exceed 95 MN/m2.

A 10m aluminium flagpole is installed at 30°C.  After 2 days, the temperature drops to -10 °C. How much does the height change of the flagpole? ( Assume thermal expansion coeeficient for aluminium = 23 ×10-6

A steel cube, with all faces free to deform, has Young’s modulus, E, Poisson’s ratio, ν, and coefficient of thermal expansion, α. The pressure (hydrostatic stress) developed within the cube, when it is subjected to a uniform increase in temperature, ΔT, is given by

A rod of steel is 20m long at a temperature of 20 °C. Temperature of rod is then raised to 65°C. What will be thermal stress produced when the rod is permitted to expand only by 5.8mm?

Take α = 12 * 10-6 / °C and E = 200 Gpa

The temperature of a wire of length 1 meter and area of cross-sectional section 1 cm2 is increased from 0° to 100°C. If the rod is not allowed to increase in length. What will be the force required (in N) ? [α = 10–5/°C, E = 10¹¹ (N / m²)] 

The loading and unloading response of a metal is shown in the figure. the elastic and plastic strain corresponding to 200 mpa stress , respectively are