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

When a uniformly distributed load, shorter than the span of the girder, moves from left to right, then the conditions for maximum bending moment at a section is that

A

The head of the load reaches the section

B

The tail of the load reaches the section

C

The load position should be such that the section divides it equally on both sides

D

The load position should be such that the section divides the load in the same ratio as it divides the span

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

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

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

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

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

Which is the longer: P is equal to Q, R is shorter than P, S is longer than R. T is longer than Q, is longer then S.

A

T

B

Q

C

S

D

P

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

The bending moment at a section tends to bend or deflect the beam and the internal stresses resist its bending. The resistance offered by the internal stresses, to the bending, is called

A

Compressive stress

B

Shear stress

C

Bending stress

D

Elastic modulus

The maximum bending moment due to a train of wheel loads on a simply supported girder

A

Always occurs at centre of span

B

Always occurs under a wheel load

C

Never occurs under a wheel load

D

None of the above

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

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

A beam supporting a uniformly distributed load over its entire length L is pinned at one end and passes over a roller support at a distance x from the other end . The value of x such that the greatest bending moment in the beam is as small as possible, will be

A

0.293L

B

0.330L

C

0.111L

D

0.125L

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

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