Related Questions

A plate with an elliptical hole in the centre, with semi-major axis (a) perpendicular to the direction of loading and semi-minor axis (b) along the direction of loading, is subjected to a pull P. The maximum stress induced at the edge of the hole is equal to (where $$\sigma $$ = Stress for a plate with no hole i.e. nominal stress)
A $$\sigma \left( {1 + \frac{{\text{b}}}{{2{\text{a}}}}} \right)$$
B $$\sigma \left( {1 + \frac{{2{\text{a}}}}{{\text{b}}}} \right)$$
C $$\sigma \left( {1 + \frac{{\text{b}}}{{3{\text{a}}}}} \right)$$
D $$\sigma \left( {1 + \frac{{3{\text{a}}}}{{\text{b}}}} \right)$$
When a bar of length '$$l$$' and diameter 'd' is rigidly fixed at the upper end and hanging freely, then the total elongation produced in the bar due to its own weight is (where w = Weight per unit volume of the bar)
A $$\frac{{{\text{w}}l}}{{2{\text{E}}}}$$
B $$\frac{{{\text{w}}{l^2}}}{{2{\text{E}}}}$$
C $$\frac{{{\text{w}}{l^3}}}{{2{\text{E}}}}$$
D $$\frac{{{\text{w}}{l^4}}}{{2{\text{E}}}}$$
The natural frequency of free transverse vibrations due to uniformly distributed load acting over a simply supported shaft is (where $$\delta {\text{S}}$$ = Static deflection of simply supported shaft due to uniformly distributed load)
A $$\frac{{0.4985}}{{\sqrt {\delta {\text{S}}} }}$$
B $$\frac{{0.5615}}{{\sqrt {\delta {\text{S}}} }}$$
C $$\frac{{0.571}}{{\sqrt {\delta {\text{S}}} }}$$
D $$\frac{{0.6253}}{{\sqrt {\delta {\text{S}}} }}$$
The natural frequency of free transverse vibrations due to a point load acting over a simply supported shaft is equal to (where $$\delta $$ = Static deflection of a simply supported shaft due to the point load)
A $$\frac{{0.4985}}{{\sqrt \delta }}$$
B $$\frac{{0.5615}}{{\sqrt \delta }}$$
C $$\frac{{0.571}}{{\sqrt \delta }}$$
D $$\frac{{0.6253}}{{\sqrt \delta }}$$
The ratio of elongation in a prismatic bar due to its own weight (W) as compared to another similar bar carrying an additional weight (W) will be
A 1 : 2
B 1 : 3
C 1 : 4
D 1 : 2.5
The stress in the bar when the load is applied suddenly is __________ as compared to the stress induced due to gradually applied loads.
A Same
B Double
C Three times
D Four times
The ratio of the length and diameter of a simply supported uniform circular beam which experiences maximum bending stress equal to tensile stress due to same load at its mid span, is
A $$\frac{1}{8}$$
B $$\frac{1}{4}$$
C $$\frac{1}{2}$$
D $$\frac{1}{3}$$
The design stress, which is more than the damaging stress, is the least unit stress that will render a member unfit for service before the end of its normal life. The design stress factor or factor of safety indicates the margin between design stress and the __________ stress.
A Working
B Damaging
C Allowable
D None of these
The length of the lap in a compression member is kept greater than bar diameter x (Permissible stress in bar / Five times the bond stress) or
A 12 bar diameters
B 18 bar diameters
C 24 bar diameters
D 30 bar diameters
A circular bar moving in a round hole is an example of
A Incompletely constrained motion
B Partially constrained motion
C Completely constrained motion
D Successfully constrained motion

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