The point of contra flexure is a point where

How far is point 'R' from Point 'T'? Statement (I): Point 'R' is 5 metres to the north of point 'M'. Point 'U' is 4 metres to the east of point 'R'. Point 'T' is to the west of point 'R' such that points 'U' 'R' and 'T' form a straight line of metres. Statement (II): Point 'Z' is metres to the south of point 'T'. Point 'U' is metres to the east of point 'T'. Point 'M' is metres to the east of point 'Z'. Point 'R' is metres to the north of point 'M'. Point 'R' lies on the line formed by joining points 'T' and 'U'.

A

Statement (I) and (III) are independently sufficient to answer the question.

B

Statement (I) and (II) are together required to answer the question.

C

Statement (I) alone is sufficient to answer the question while statement (II) is not sufficient to answer the question.

D

Statement (II) alone is sufficient to answer (I) is not sufficient to answer the question.

In the analysis of beams subjected to loads, the point with Nil Bending Moment can be a 1. Point of Contra flexure 2. Point of Maximum Shear Force 3. Point of Inflection Which of the above statements is/are correct?

A

1 only

B

2 only

C

3 only

D

1, 2, 3

Point A is 3m in the north of point B. Point D is 2m in the east of point E. Point F is 9m in the west of point G. Point C is 4m in the west of point B. Point C is 3m in the south of point D. Point F is 5m in the south of point E. Point H is 5m in the north of point G. What is the shortest distance between point H and point A?

A

5m

B

4m

C

3m

D

6m

Point P is 4m in the west of point V. Point R is 6m in the north of point Q. Point T is 5m in the south of point S. Point V is in the middle of point R and Q. Point U is 5m in the east of point R. Point V is in north of point Q. Point S is 5m in the east of point V. What is the area of triangle formed by point P, R and Q?

A

14m²

B

15m²

C

16m²

D

12m²

The point of contra flexure is that point where

A

Shear force is maximum

B

Bending moment is maximum

C

Bending moment changes its sign

D

Shear force changes its sign

In case of a horizontal beam loaded under bending, the point of inflexion or contra flexure corresponds to a point on the beam, where

A

Shear force is zero

B

Bending moment changes its sign

C

Shear force is maximum

D

None of the above

Study the following information and answer the questions. Point A is 8m to the west of Point B. Point C is 4m to the south of Point B. Point D is 4m to the east of Point C. Point F is 6m to the north of Point D. Point E is 8m to the west of Point F. Point G is 2m to the south of Point E. How far and in which direction is Point G from Point A?

A

4m to the east

B

8m to the west

C

4m to the west

D

8m to the east

Study the following information and answer the questions. Point A is 8m to the west of Point B. Point C is 4m to the south of Point B. Point D is 4m to the east of Point C. Point F is 6m to the north of Point D. Point E is 8m to the west of Point F. Point G is 2m to the south of Point E. If point G is 4m to the north of Point H, then what is the distance between H and D?

A

11m

B

8m

C

6m

D

4m

The point of contra – flexure occurs only in

A

Continuous beams

B

Cantilever beams

C

Overhanging beams

D

Simply supported beams

When does contra flexure point occur on a beam?

A

When bending moment is maximum.

B

When bending moment changes its sign.

C

When shear force is zero after changing its sign.

D

When shear force is constant.

The point of contra flexure is a point where

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