According to Euler's column theory, the crippling load of a column is given by $${\text{p}} = \frac{{{\pi ^2}{\text{E}}I}}{{{\text{C}}{l^2}}}.$$ In this equation, the value of ‘C’ for a column with both ends hinged, is

According to Euler's column theory, the crippling load for a column of length (l) fixed at both ends is __________ the crippling load for a similar column hinged at both ends.

A

Equal to

B

Two times

C

Four times

D

Eight times

According to Euler's column theory, the crippling load for a column length (l) hinged at both ends, is

A

π²EI/l²

B

π²EI/4l²

C

4π²EI/l²

D

2π²EI/l²

According to Euler's column theory, the crippling load for a column length $$l$$ hinged at both ends, is

A

$$\frac{{{\pi ^2}{\text{E}}I}}{{{l^2}}}$$

B

$$\frac{{{\pi ^2}{\text{E}}I}}{{4{l^2}}}$$

C

$$\frac{{4{\pi ^2}{\text{E}}I}}{{{l^2}}}$$

D

$$\frac{{2{\pi ^2}{\text{E}}I}}{{{l^2}}}$$

The ratio of crippling loads of a column having both the ends fixed to the column having both the ends hinged, is

A

1

B

2

C

3

D

4

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

According to Euler's column theory, the crippling load for a column of length ($$l$$) with one end fixed and the other end hinged, is

A

$$\frac{{{\pi ^2}{\text{E}}I}}{{{l^2}}}$$

B

$$\frac{{{\pi ^2}{\text{E}}I}}{{4{l^2}}}$$

C

$$\frac{{2{\pi ^2}{\text{E}}I}}{{{l^2}}}$$

D

$$\frac{{4{\pi ^2}{\text{E}}I}}{{{l^2}}}$$

According to Euler's column theory, the crippling load of a column is given by $${\text{p}} = \frac{{{\pi ^2}{\text{E}}I}}{{{\text{C}}{l^2}}}.$$ In the Euler's formula, the value of C for a column with one end fixed and the other end free, is

A

$$\frac{1}{2}$$

B

1

C

2

D

4

A column of length ($$l$$) with both ends fixed may be considered as equivalent to a column of length __________ with both ends hinged.

A

$$\frac{l}{8}$$

B

$$\frac{l}{4}$$

C

$$\frac{l}{2}$$

D

$$l$$

Below are given two sets in which Set I gives the named theory of Intelligence which set II indicated their main proponents and contentions associated with the theory. Match the two sets. Set I (Theory of Intelligence) Set II (The main proponents and contentions) (a) Multiple Factor Theory (i) Sternberg, intelligence can be taught and the classroom is the logical place to teach it. (b) Theory of Multiple Intelligence (ii) Cattell, intelligence is neither completely monarchic, nor oligarchic nor anarchic. (c) Theory of Fluid and Crystallized Intelligence (iii) Thurstone, intelligence is oligarchic in nature. (d) Coping Theory of Intelligence (iv) Gardner, intelligence is a capacity with component processes and should not be confused with a learning or cognitive style. Choose correct answer from following.

A

(a)-(iii), (b)-(iv), (c)-(ii), (d)-(i)

B

(a)-(i), (b)-(ii), (c)-(iii), (d)-(iv)

C

(a)-(iv), (b)-(iii), (c)-(i), (d)-(ii)

D

(a)-(ii), (b)-(i), (c)-(iv), (d)-(iii)

Consider the following Column A and Column B in which the names of microorganisms are given in Column A and the groups to which they belong are given in Column B: Column A Column B (a) Aspergillus (i) Algae (b) Lactobacillus (ii) Bacteria (c) Paramecium (iii) Fungi (d) Spirogyra (iv) Protozoa (v) Virus The correct match of the items of Column A with that of Column B is

A

a - iii, b - ii, c - iv, d - v

B

a - ii, b - iii, c - iv, d - i

C

a - iii, b - ii, c - iv, d - i

D

a - v, b - iii, c - ii, d - iv

According to Euler's column theory, the crippling load of a column is given by $${\text{p}} = \frac{{{\pi ^2}{\text{E}}I}}{{{\text{C}}{l^2}}}.$$ In this equation, the value of ‘C’ for a column with both ends hinged, is

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