If a member is subjected to tensile stress of p_x, compressive stress of p_y and tensile stress of p_z along the x, y and z directions respectively, then the resultant strain 'e_x' along the 'x' direction would be (E is Young's modulus of elasticity, `mu` is Poisson's ratio)

A bar of square section is subjected to a pull of 10000 kg. If the maximum allowable shear stress on any section is 500 kg/cm², then the side of the square section will be

In the case of a column of length `l`, moment of inertia of cross-section `l`' and Young's modulus of the material of the column 'E' being hinged at both ends, the buckling load, according to Euler's colum

A cantilever is subjected to a uniformly distributed load W over its whole length 'L' and a concentrated upward force W at its free end. The deflection of the free end is

A close-coiled
helical spring has 100 mm mean diameter and is mada of 20 turns to 10 mm
diameter steel wire. The spring carries an axial load of 100 N Modulus
of rigidity is 84 GPa. The shearing stress developed in the spring in
N/mm² is

A
horizontal fixed beam is fixed at both it ends A and B. During loading,
the right support sinks by an amount `delta`Flexural rigidity of the beam
is uniform and is equal to EI. Length of the beam is L. What is the moment developed at the centre of the beam due to sinking of the support ?

For a given
stress, the ratio of the moment of resistance of a beam of square
section when placed with one diagonal horizontal to the moment of
resistance of the same beam when placed with two sides horizontal will
be

A simply supported beam of span l and flexural rigidity EI, carries a unit point load at its centre. The strain energy in the beam due to bending is