The shear force in the center of a simply supported beam carrying a uniformly distributed load of ‘w’ per unit length, is

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 shear force at the ends of a simply supported beam carrying a uniformly distributed load of w per unit length is

A

Zero at its both ends

B

$${\text{w}}l$$ at one end and $$ - {\text{w}}l$$ at the other end

C

$$\frac{{{\text{w}}l}}{2}$$ at one end and $$ - \frac{{{\text{w}}l}}{2}$$ at the other end

D

$$\frac{{{\text{w}}{l^2}}}{2}$$ at one end and $$ - \frac{{{\text{w}}{l^2}}}{2}$$ at the other end

The shear force diagram for a simply supported beam carrying a uniformly distributed load of w per unit length, consists of

A

One right angled triangle

B

Two right angled triangles

C

One equilateral triangle

D

Two equilateral triangles

The bending moment in the center of a simply supported beam carrying a uniformly distributed load of w per unit length is

A

Zero

B

$$\frac{{{\text{w}}{l^2}}}{2}$$

C

$$\frac{{{\text{w}}{l^2}}}{4}$$

D

$$\frac{{{\text{w}}{l^2}}}{8}$$

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 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

In a simply supported beam carrying a uniformly distributed load w per unit length, the point of contraflexure

A

Lies in the center of the beam

B

Lies at the ends of the beam

C

Depends upon the length of beam

D

Does not exist

The bending moment diagram for a simply supported beam carrying a uniformly distributed load of ‘w’ per unit length, will be

A

A horizontal line

B

A vertical line

C

An inclined line

D

A parabolic curve

The shear force of a cantilever beam of length $$l$$ carrying a uniformly distributed load of w per unit length is __________ at the fixed end.

A

Zero

B

$$\frac{{{\text{w}}l}}{4}$$

C

$$\frac{{{\text{w}}l}}{2}$$

D

$${\text{w}}l$$

The shear force diagram of a cantilever beam of length ‘l’ and carrying a uniformly distributed load of w per unit length will be

A

A right angled triangle

B

An isosceles triangle

C

An equilateral triangle

D

A rectangle

The shear force in the center of a simply supported beam carrying a uniformly distributed load of ‘w’ per unit length, is

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