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.

Consider the following statements regarding types of supports and beams: 1. When both supports of beams are roller supports, the beam is known as simply supported beam. 2. A beam with one end fixed and the other end free is known as fixed beam. 3. A beam with both ends fixed is known as cantilever beam. 4. A beam with one end fixed and the other simply supported is known as propped cantilever. Which of the above statements is/are correct ?

A

1 only

B

1 and 4 only

C

1, 3 and 4 only

D

2, 3 and 4 only

Consider the following statements with regards to the shear force diagram for the beam ABCD: 1. The beam ABCD is an overhanging beam having supports at A and D only. 2. The beam carries a point load of 20 kN at C. 3. The beam carries a concentrated load of 10 kN at the end B. 4. The beam is an overhanging beam having supports at C and D only. 5. The beam carries a uniformly distributed load of 70 kN over the left hand portion AC only. Which of the above statements are correct?

A

1, 2 and 3 only

B

1, 3 and 5 only

C

2, 3 and 4 only

D

2, 4 and 5 only

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

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

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

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

$$\frac{{{\text{w}}l}}{4}$$

C

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

D

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

Which of the following is the CORRECT bending moment diagram for the cantilever beam carrying uniformly varying load from zero at the free end to w/unit length at the fixed end?

A

SSC JE ME 22 Jan 18 Morning Madhu satya Part 1 Upload images Q16a

B

SSC JE ME 22 Jan 18 Morning Madhu satya Part 1 Upload images Q16b

C

SSC JE ME 22 Jan 18 Morning Madhu satya Part 1 Upload images Q16c

D

SSC JE ME 22 Jan 18 Morning Madhu satya Part 1 Upload images Q16d

The shear force of a cantilever beam of length $$l$$ carrying a uniformly distributed load of w per unit length is __________ at the fixed end.

A

Zero

B

$$\frac{{{\text{w}}l}}{4}$$

C

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

D

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

In which of the following cases, there exists the situation of Pure Bending in some part of the beam or along the entire beam? i) A simply supported beam subjected to two equally spaced downward concentrated loads ii) A simply supported beam subjected to two equally spaced opposite moments iii) A cantilever beam subjected to clockwise moment at free end iv) An overhanging beam with both side overhangs subjected to different concentrated loads at both the free ends

A

(i) and (iv)

B

(i), (ii) and (iv)

C

(i), (ii) and (iii)

D

(i) and (iii)

"It is now expected that the variable production cost per unit and the selling price per unit will each increase by 10%, and fixed production cost will rise by 25%. What will be the new break even point?
Selling price - Rs 6 per unit
Variable production cost - Rs 1.20 per unit
Variable selling cost - Rs 0.40 per unit
Fixed production cost - Rs 4 per unit
Fixed selling cost - Rs 0.80 per unit
Budgeted production and sales for the year are 10,000 units."

A

8,788 units

B

11,600 units

C

11,885 units

D

12,397 units

The cantilever of length (l) carries a load whose intensity varies uniformly from zero at free end to w per unit length at the fixed end, the bending moment diagram will be

A

Parabolic curve

B

Cubic curve

C

Straight line curve

D

Combination of Straight line curve and Parabolic curve

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.

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