ISRO Mechanical Engineering 2013

A concentrated load P is applied at the end of a cantilever as shown in figure. The cross section of the beam is a square of size ‘a’ with a hole of dia ‘a/2’. The deflection at the tip of the cantilever is given by

A cantilever is subjected to a UDL the cross section of the beam is H-section placed as shown in fig. The bending stress distribution across the cross section will be

A thick cylinder of inner dia ‘D’, wall thickness and length ‘L’ is sealed at its both end with cap is . Allowable tensile yield stress = and allowable shear stress = . A gas is pumped into the cylinder at pressure ‘p’. The cap will yield in shear at circumferences of diameter ‘D’ when the gas pressure applied is more than

An SS tube is inserted into an ‘AI’ tube. They are permanently fixed at one end. The other end is stretched to a rigid plate. A torque ‘T is applied to a rigid plate. The circumference of the ‘AI’ tube at the dia ‘D’ at the plate end with respect to the fixed end rotates by a distance _____mm due to torque ‘T. The polar MOI and Rigidity modulus of AI and SS are and respectively.

A rod of 20 dia is fixed to the celling of a roof on one end. A rotor of 50 kg mass is attached to the free end with bearing. The CG of the rotor is 10 mm away from the shaft axis. The rotor is rotating at 600 rpm. The max tensile stress (in N/Sq mm) in the rod is nearly equal to

An automotive engine having a mass of 135 kg is supported on 4 springs with liner characteristics. Each of the 2 front springs have stiffness of 3 MN/m while the stiffness of each of 2 rear springs is 4.5 MN/m. The engine speed (rpm) at which resonance is likely to occur is