List of top Applied Mechanics and Design Questions on Stress and strain

Which one of the following failure theories is the most conservative design approach against fatigue failure?

A solid massless cylindrical member of 50 mm diameter is rigidly attached at one end, and is subjected to an axial force P = 100 kN and a torque T = 600 N. m at the other end as shown. Assume that the axis of the cylinder is normal to the support. Considering distortion energy theory with allowable yield stress as 300 MPa, the factor of safety in the design is _____ (rounded off to 1 decimal place).

The figure shows a thin cylindrical pressure vessel constructed by welding plates together along a line that makes an angle a = 60° with the horizontal. The closed vessel has a wall thickness of 10mm and diameter of 2m. When subjected to an internal pressure of 200 kPa, the magnitude of the normal stress acting on the weld is ____MPa (rounded off to 1 decimal place).

A three-hinge arch ABC in the form of a semi-circle is shown in the figure. The arch is in static equilibrium under vertical loads of P = 100 kN and Q = 50 kN. Neglect friction at all the hinges. The magnitude of the horizontal reaction at B is ____KN (rounded off to 1 decimal place).

The radius of mohr's circle of stress of a strained element is 20 N/mm2 and minor principle tensile stress is 10 N/mm2 the major principle stress is

A linear elastic structure under plane stress condition is subjected to two sets of loading, I and II. The resulting states of stress at a point corresponding to these two loadings are shown in the figure below. If these two sets of loading are applied simultaneously, then the net normal component of stress $\sigma_{xx$ is ________________.}