In column analogy method, the area of an analogous column for a fixed beam of span L and flexural rigidity El is taken as

In column analogy method, the area of an analogous column for a fixed beam of span L and flexural rigidity E$$I$$ is taken as

A

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

B

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

C

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

D

$$\frac{{\text{L}}}{{4{\text{E}}I}}$$

In column analogy method, what is the area of an analogous column for a fixed beam of span 2L and flexural rigidity 2EI?

A

L/EI

B

L/2EI

C

2L/EI

D

L/4EI

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 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

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 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 of a simply supported beam of span L, carrying an isolated load at the centre of the span; flexural rigidity being E$$I$$, is

A

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

B

$$\frac{{{\text{W}}{{\text{L}}^3}}}{{8{\text{E}}I}}$$

C

$$\frac{{{\text{W}}{{\text{L}}^3}}}{{24{\text{E}}I}}$$

D

$$\frac{{{\text{W}}{{\text{L}}^3}}}{{48{\text{E}}I}}$$

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

Which country has recorded second highest COVID19 death toll in world after China?

A

Italy

B

Iran

C

India

D

Japan

In a ring beam subjected to uniformly distributed loadi) shear force at mid span is zeroii) shear force at mid span is maximumiii) torsion at mid span is zeroiv) torsion at mid span is maximum The correct answer is

A

(i) and (iii)

B

(i) and (iv)

C

(ii) and (iii)

D

(ii) and (iv)

In column analogy method, the area of an analogous column for a fixed beam of span L and flexural rigidity El is taken as

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