If the sides of a slab simply supported on edges and spanning in two directions are equal, the maximum bending moment is multiplied by

If the maximum bending moment of a simply supported slab is M Kg.cm, the effective depth of the slab is (where Q is M.R. factor)

A

$$\frac{{\text{M}}}{{100{\text{Q}}}}$$

B

$$\frac{{\text{M}}}{{10\sqrt {\text{Q}} }}$$

C

$$\sqrt {\frac{{\text{M}}}{{\text{Q}}}} $$

D

$$\sqrt {\frac{{\text{M}}}{{100{\text{Q}}}}} $$

The maximum ratio of span to depth of a slab simply supported and spanning in two directions, is

A

25

B

30

C

35

D

40

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

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

The maximum ratio of span to depth of a slab simply supported and spanning in one direction, is

A

35

B

25

C

30

D

20

A shaft of diameter D is subjected to a twisting moment (T) and a bending moment (M). If the maximum bending stress is equal to maximum shear stress developed, then M is equal to

A

$$\frac{{\text{T}}}{2}$$

B

T

C

2T

D

4T

Design of a two way slab simply supported on edges and having no provision to prevent the corners from lifting, is made by

A

Rankine formula

B

Marcus formula

C

Rankine Grashoff formula

D

Grashoff formula

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 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

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

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

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

When a series of wheel loads crosses a simply supported girder, the maximum bending moment under any given wheel load occurs when

A

The centre of gravity of the load system is midway between the centre of span and wheel load under consi-deration

B

The centre of span is midway between the centre of gravity of the load system and the wheel load under consideration

C

The wheel load under consideration is midway between the centre of span and the centre of gravity of the load system

D

None of the above

If the sides of a slab simply supported on edges and spanning in two directions are equal, the maximum bending moment is multiplied by

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