To ensure that the hogging bending moment at two points of suspension of a pile of length L equals the sagging moment at its centre, the distances of the points of suspension from either end, is

A pile of length ‘L’ carrying a uniformly distributed load ‘W’ per metre length is suspended at the centre and from other two points 0.15 L from either end; the maximum hogging moment will be

A

$$\frac{{{\text{W}}{{\text{L}}^2}}}{{15}}$$

B

$$\frac{{{\text{W}}{{\text{L}}^2}}}{{30}}$$

C

$$\frac{{{\text{W}}{{\text{L}}^2}}}{{60}}$$

D

$$\frac{{{\text{W}}{{\text{L}}^2}}}{{90}}$$

A pile of length ‘L’ carrying a uniformly distributed load ‘W’ per metre length is suspended at two points, the maximum, B.M. at the centre of the pile or at the points of suspension, is

A

$$\frac{{{\text{WL}}}}{8}$$

B

$$\frac{{{\text{W}}{{\text{L}}^2}}}{{24}}$$

C

$$\frac{{{\text{W}}{{\text{L}}^2}}}{{47}}$$

D

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

A pile of length carrying a uniformly distributed load per metre length is suspended at two points, the maximum, B.M. at the centre of the pile or at the points of suspension, is

A

WL/8

B

WL2/24

C

WL2/47

D

WL2/16

In a combined footing for two columns carrying unequal loads, the maximum hogging bending moment occurs at

A

Less loaded column

B

More loaded column

C

A point of the maximum shear force

D

A point of zero shear force

In testing a pile by load test, pile platform is loaded with one and half times the design load and a maximum settlement is noted. The load is gradually removed and the consequent rebound is measured. For a safe pile, the net settlement (i.e. total settlement minus rebound) per tonne of test load should not exceed

A

10 mm

B

15 mm

C

20 mm

D

25 mm

The pile spacing of each pile is taken as __________ diameter of the pile.

A

Four

B

Five

C

Three

D

Ten

Two circular dials of exactly the same size are mounted on a wall side by side in such a way that their perimeters touch at one point. Dial 1, which is on the left , spins clockwise around its center , and dial 2 , which is on the right spins counter clockwise around its center . (Assume that there is no friction at the point of contact between the dials.) Each dial is marked on its perimeter at three points that are at equale distances around the points arked ondial 1 are N, O, and P and the points marked on dial 2 are X, Y, and Z. If points O and Z are just meeting at the point of contact between the dials , and if dial 1 spins at the same speed as dial 2, what is the smallest number of revolutions of each dial that will bring O and Z together again?

A

1

B

2

C

3

D

4

Sagging, the bending moment occurs at the _____ of the beam.

A

At supports

B

Mid span

C

Point of contraflexure

D

Point of emergence

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 bending moment of a cantilever beam of length $$l$$ and carrying a gradually varying load from zero at free end and w per unit length at the fixed end is ________ at the fixed end.

A

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

B

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

C

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

D

$$\frac{{{\text{w}}{l^2}}}{6}$$

To ensure that the hogging bending moment at two points of suspension of a pile of length L equals the sagging moment at its centre, the distances of the points of suspension from either end, is

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