A rectangular beam of length $$l$$ supported at its two ends carries a central point load W. The maximum deflection occurs

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

The simply supported beam 'A' of length '$$l$$' carries a central point load 'W'. Another beam 'B' is loaded with a uniformly distributed load such that the total load on the beam is 'W'. The ratio of maximum deflections between beams 'A' and 'B' is

A

$$\frac{5}{8}$$

B

$$\frac{8}{5}$$

C

$$\frac{5}{4}$$

D

$$\frac{4}{5}$$

A simply supported beam A carries a point load at its mid span. Another identical beam B carries the same load but uniformly distributed over the entire span. The ratio of the maximum deflections of the beams A and B, will be

A

$$\frac{2}{3}$$

B

$$\frac{3}{2}$$

C

$$\frac{5}{8}$$

D

$$\frac{8}{5}$$

A simply supported beam which carries a uniformly distributed load has two equal overhangs. To have maximum B.M. produced in the beam least possible, the ratio of the length of the overhang to the total length of the beam, is

A

0.207

B

0.307

C

0.407

D

0.508

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

$${\left( {\frac{{\text{L}}}{{3{\text{d}}}}} \right)^2}$$

A simply supported beam carries varying load from zero at one end and w at the other end. If the length of the beam is a, the maximum bending moment will be

A

$$\frac{{{\text{wa}}}}{{27}}$$

B

$$\frac{{{\text{w}}{{\text{a}}^2}}}{{27}}$$

C

$$\frac{{{{\text{w}}^2}{\text{a}}}}{{\sqrt {27} }}$$

D

$$\frac{{{\text{w}}{{\text{a}}^2}}}{{9\sqrt 3 }}$$

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 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

$$\frac{{0.6253}}{{\sqrt \delta }}$$

A cantilever beam of length L carries a gradually varying load form zero at free and w per unit length at the fixed end. The maximum deflection lies at

A

free end

B

fixed end

C

L/3 sloping side

D

none of these

The rectangular beam 'A' has length ‘l’, width ‘b’ and depth ‘d’. Another beam 'B' has the same length and depth but width is double that of 'A'. The elastic strength of beam 'B' will be _________ as compared to beam ‘A’.

A

Same

B

Double

C

Four times

D

Six times

A rectangular beam of length $$l$$ supported at its two ends carries a central point load W. The maximum deflection occurs

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