A cantilever of length ‘L’ is subjected to a bending moment ‘M’ at its free end. If EI is the flexural rigidity of the section, the deflection of the free end, is

A cantilever of length ‘L’ is subjected to a bending moment ‘M’ at its free end. If E$$I$$ is the flexural rigidity of the section, the deflection of the free end, is

A

$$\frac{{{\text{ML}}}}{{{\text{E}}I}}$$

B

$$\frac{{{\text{ML}}}}{{2{\text{E}}I}}$$

C

$$\frac{{{\text{M}}{{\text{L}}^2}}}{{2{\text{E}}I}}$$

D

$$\frac{{{\text{M}}{{\text{L}}^2}}}{{3{\text{E}}I}}$$

An overhanging beam, having same overhangs of length L/2 on both the sides, is subjected to clockwise moment M on the left side free end and anticlockwise moment M on the right side free end. What is the deflection of midpoint of the beam, if distance between the supports is L? (Take Flexural Rigidity of beam = EI)

A

Zero

B

ML²/2EI

C

ML²/8EI

D

ML²/9√3EI

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)

The maximum deflection due to a load W at the free end of a cantilever of length L and having flexural rigidity EI, is

A

WL²/2EI

B

WL²/3EI

C

WL3/2EI

D

WL3/3EI

The maximum deflection due to a load W at the free end of a cantilever of length L and having flexural rigidity E$$I$$, is

A

$$\frac{{{\text{W}}{{\text{L}}^2}}}{{2{\text{E}}I}}$$

B

$$\frac{{{\text{W}}{{\text{L}}^2}}}{{3{\text{E}}I}}$$

C

$$\frac{{{\text{W}}{{\text{L}}^3}}}{{2{\text{E}}I}}$$

D

$$\frac{{{\text{W}}{{\text{L}}^3}}}{{3{\text{E}}I}}$$

A reinforced concrete beam is subjected to 5 kNm bending moment due to dead load and 25 kNm bending moment due to live load. What should be the design bending moment for limit state of collapse?

A

30.0 kN.m

B

34.5 kN.m

C

45.0 kN.m

D

50.0 kN.m

A cantilever beam subjected to a point load at free end of span “l” m and possess flexural rigidity (EI).

A

Wl3 / 6EI

B

Wl4/ 8EI

C

Wl2/ 2EI

D

Wl4/ 5EI

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

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

Consider the following statements in connection with deflection-type and null-type instruments: 1. Null-type instruments are more accurate than the deflection-type ones. 2. Null-type of instrument can be highly sensitive compared to a deflection-type instrument. 3. Under dynamic conditions, null-type instruments are less preferred to deflection-type instruments. 4. Response is faster in null-type instruments as compared to deflection-type instruments. Which of the above statements are correct?

A

1, 2 and 3

B

1, 2 and 4

C

1, 3 and 4

D

2, 3 and 4

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

A cantilever of length ‘L’ is subjected to a bending moment ‘M’ at its free end. If EI is the flexural rigidity of the section, the deflection of the free end, is

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