Design of R.C.C. simply supported beams carrying U.D.L. is based on the resultant B.M. at

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

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

Design of R.C.C. cantilever beams, is based on the resultant force at

A

Fixed end

B

Free end

C

Mid span

D

Mid span and fixed support

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

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

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

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

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 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

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 maximum bending moment of a simply supported beam of span $$l$$ and carrying a point load W at the center of beam, is

A

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

B

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

C

$${\text{W}}l$$

D

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

Design of R.C.C. simply supported beams carrying U.D.L. is based on the resultant B.M. at

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