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

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 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

ML/EI

B

ML/2EI

C

ML²/2EI

D

ML²/3EI

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

Consider the following statements for Euler’s equation to find the critical load of a column : 1. Critical load of a column is proportional to the flexural rigidity. 2. Critical load of a column depends upon yield stress. 3. Critical load of a column is inversely proportional to the length of the column. 4. Critical load of a column is inversely proportional to the square of the length of the column. Which of the above statements are correct?

A

1 and 2 only

B

1 and 4 only

C

2 and 3 only

D

2 and 4 only

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

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

A cantilever beam of length L carries a gradually varying load form zero at free and w per unit length at the fixed end. The maximum deflection lies at

A

free end

B

fixed end

C

L/3 sloping side

D

none of these

Seven people A, B, C, D, E, F and G live on separate floors of a 7-floor building. Ground floor is numbered 1, first floor is numbered. 2 and so on until the topmost floor is numbered 7. Each one of these having a different cars-Cadillac, Ambassador, Fiat, Maruti, Mercedes, Bedford and Fargo but not necessarily in the same order. Only three people live above the floor on which A lives. Only one person lives between A and the one having a car Cadillac. F lives immediately below the one having a car Bedford. The one having a car Bedford lives on an even-numbered floor. Only three people live between the ones having a car Cadillac and Maruti. E lives immediately above C. E is not having a car Maruti. Only two people live between B and the one having a car Fargo. The one having a car Fargo lives below the floor on which B lives. The one having a car Fiat does not live immediately above D or immediately below B. D does not live immediately above or immediately below A. G does not have a car Ambassador. Question : How many people live between the floors on which D and the one having a car Bedford ?

A

One

B

Two

C

Three

D

Four

The maximum deflection of a simply supported beam of span L, carrying an isolated load at the centre of the span; flexural rigidity being EI, is

A

WL3/3EL

B

WL3/8EL

C

WL3/24EL

D

WL3/48EL

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

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