For a circular slab carrying a uniformly distributed load, the ratio of the maximum negative to maximum positive radial moment, is

If ‘W’ is the uniformly distributed load on a circular slab of radius ‘R’ fixed at its ends, the maximum positive radial moment at its centre, is

A

$$\frac{{3{\text{W}}{{\text{R}}^2}}}{{16}}$$

B

$$\frac{{2{\text{W}}{{\text{R}}^2}}}{{16}}$$

C

$$\frac{{{\text{W}}{{\text{R}}^2}}}{{16}}$$

D

None of these

When a uniformly distributed load, longer than the span of the girder, moves from left to right, then the maximum bending moment at mid section of span occurs when the uniformly distributed load occupies

A

Less than the left half span

B

Whole of left half span

C

More than the left half span

D

Whole span

If ‘W’ is the load on a circular slab of radius ‘R’, the maximum radial moment at the centre of the slab, is

A

$$\frac{{{\text{W}}{{\text{R}}^2}}}{{16}}$$

B

$$\frac{{2{\text{W}}{{\text{R}}^2}}}{{16}}$$

C

$$\frac{{3{\text{W}}{{\text{R}}^2}}}{{16}}$$

D

$$\frac{{5{\text{W}}{{\text{R}}^2}}}{{16}}$$

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

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

If W is total load per unit area on a panel, D is the diameter of the column head, L is the span in two directions, then the sum of the maximum positive bending moment and average of the negative bending moment for the design of the span of a square flat slab, should not be less than

A

$$\frac{{{\text{WL}}}}{{12}}{\left( {{\text{L}} - \frac{{2{\text{D}}}}{3}} \right)^2}$$

B

$$\frac{{{\text{WL}}}}{{10}}{\left( {{\text{L}} + \frac{{2{\text{D}}}}{3}} \right)^2}$$

C

$$\frac{{{\text{WL}}}}{{10}}{\left( {{\text{L}} - \frac{{2{\text{D}}}}{3}} \right)^2}$$

D

$$\frac{{{\text{WL}}}}{{12}}{\left( {{\text{L}} - \frac{{\text{D}}}{3}} \right)^2}$$

If W is the load on a circular slab of radius R, the maximum circumferential moment at the centre of the slab, is

A

$$\frac{{{\text{W}}{{\text{R}}^2}}}{{16}}$$

B

$$\frac{{2{\text{W}}{{\text{R}}^2}}}{{16}}$$

C

$$\frac{{3{\text{W}}{{\text{R}}^2}}}{{16}}$$

D

Zero

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 bending moment of a cantilever beam of length '$$l$$' and carrying a uniformly distributed load of 'w' per unit length is __________ at the fixed end.

A

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

B

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

C

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

D

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

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 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

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

For a circular slab carrying a uniformly distributed load, the ratio of the maximum negative to maximum positive radial moment, is

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