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 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

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

0.107 L

B

0.207 L

C

0.307 L

D

0.407 L

Consider the following statement: 1. Initial load tests and routine load tests are carried out on test piles and working Piles, respectively. 2. In a pile load test, the allowable load can be taken equal to half the ultimate load at which the total settlement amounts to one-tenth of the pile diameter. 3. In a pile load test, the allowable load can be taken equal to two-thirds of the total toad which causes a plastic settlement of 6 mm. Which of the above statements are correct?

A

1, 2 and 3.

B

1 and 2 only

C

1 and 3 only

D

2 and 3 only

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

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

Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the total cost of gardening the park? I. In a rectangular plot of length 120 metre and breadth 80 metre a circular park is made in it's centre surrounded by a pavement of thickness 3 metre. II. The diameter of the park including the pavement is 20 metre and the cost of gardening the park is Rs.85 per m2.

A

If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

B

If the data in statement II alone is sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.

C

If the data either in statement I alone or in statement II alone is sufficient to answer the question.

D

If the data even in both the statements I and II together are not sufficient to answer the question.

E

If the data in both statements I and II together are needed to answer the question.

Two boats of length 17.5 metre and 22.5 metre are separated by a distance of 800 metre started moving towards each other. If the boats can cross each other’s distance in 4 sec, then find the time from starting when they will 1000 metre apart.

A

2 minutes

B

2.5 minutes

C

4 minutes

D

3.5 minutes

E

3 minutes

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 of a cantilever beam of length l and carrying a uniformly distributed load of w per unit length is __________ at the free end.

A

Zero

B

wl/4

C

wl/2

D

wl

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

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