Related Questions

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 longitudinal vibrations is equal to (where m = Mass of the body, s = Stiffness of the body and $$\delta $$ = Static deflection of the body)
A $$\frac{1}{{2\pi }} \times \sqrt {\frac{{\text{s}}}{{\text{m}}}} $$
B $$\frac{1}{{2\pi }} \times \sqrt {\frac{{\text{g}}}{\delta }} $$
C $$\frac{{0.4985}}{{\sqrt \delta }}$$
D Any one of these
The natural frequency of free torsional vibrations of a shaft is equal to (where q = Torsional stiffness of the shaft and $$I$$ = Mass moment of inertia of the disc attached at the end of a shaft)
A $$2\pi \sqrt {\frac{{\text{q}}}{I}} $$
B $$2\pi \sqrt {{\text{q}}I} $$
C $$\frac{1}{{2\pi }}\sqrt {\frac{{\text{q}}}{I}} $$
D $$\frac{1}{{2\pi }}$$
The frequency of damped vibrations with viscous damping is ________ the frequency of undamped vibrations.
A More than
B Less than
C Same as
D None of these
A simply supported uniform rectangular bar breadth b, depth d and length L carries an isolated load W at its mid-span. The same bar experiences an extension e under same tensile load. The ratio of the maximum deflection to the elongation, is
A $$\frac{{\text{L}}}{{\text{d}}}$$
B $$\frac{{\text{L}}}{{2{\text{d}}}}$$
C $${\left( {\frac{{\text{L}}}{{2{\text{d}}}}} \right)^2}$$
D $${\left( {\frac{{\text{L}}}{{3{\text{d}}}}} \right)^2}$$
In a system subjected to damped forced vibrations, the ratio of maximum displacement to the static deflection is known as
A Critical damping ratio
B Damping factor
C Logarithmic decrement
D Magnification factor
A simply supported beam 'A' of length l, breadth b, and depth d carries a central point load W. Another beam 'B' has the same length and depth but its breadth is doubled. The deflection of beam 'B' will be __________ as compared to beam 'A'.
A One-fourth
B One-half
C Double
D Four times
For a simply supported beam of length 'L', when a concentrated load W is applied in the center of the beam, the maximum deflection is
A $$\frac{{5{\text{W}}{{\text{L}}^3}}}{{384{\text{EI}}}}$$
B $$\frac{{{\text{W}}{{\text{L}}^3}}}{{384{\text{EI}}}}$$
C $$\frac{{{\text{W}}{{\text{L}}^3}}}{{348{\text{EI}}}}$$
D $$\frac{{{\text{W}}{{\text{L}}^3}}}{{48{\text{EI}}}}$$
The critical speed of a shaft in revolution per second is __________ as that of natural frequency of transverse vibration.
A Same
B Different
C Unpredictable
D None of these
The product of the tangential force acting on the shaft and its distance from the axis of the shaft (i.e. radius of shaft) is known as
A Bending moment
B Twisting moment
C Torsional rigidity
D Flexural rigidity

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