In case of an under-reinforced beam, the depth of actual neutral axis is __________ that of the critical neutral axis.

If the depth of actual neutral axis in a beam is more than the depth of critical neutral axis, then the beam is called

A

Balanced beam

B

Under reinforced beam

C

Over reinforced beam

D

None of the above

When the depth of the actual neutral axis in a beam is greater than the depth of the critical neutral axis, then the beam is called:

A

under-reinforced section

B

balanced beam section

C

critical section

D

over-reinforced section

A singly reinforced beam has breadth b, effective depth d, depth of neutral axis n and critical neutral axis n?. If fc and ft are permissible compressive and tensile stresses, the moment to resistance of the beam, is

A

bn (fc/2) (d - n/3)

B

Atft (d - n/3)

C

½ n₁ (1 - n₁/3) cbd²

D

All the above

A singly reinforced beam has breadth b, effective depth d, depth of neutral axis n and critical neutral axis n₁. If f_c and f_t are permissible compressive and tensile stresses, the moment to resistance of the beam, is

A

$${\text{bn}}\frac{{{{\text{f}}_{\text{c}}}}}{2}\left( {{\text{d}} - \frac{{\text{n}}}{3}} \right)$$

B

$${\text{At}}{{\text{f}}_{\text{t}}}\left( {{\text{d}} - \frac{{\text{n}}}{3}} \right)$$

C

$$\frac{1}{2}{{\text{n}}_1}\left( {1 - \frac{{{{\text{n}}_1}}}{3}} \right){\text{cb}}{{\text{d}}^2}$$

D

All the above

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

Consider the following statements regarding stress in beam : 1. If a member is subjected to equal and opposite couples acting in the same longitudinal planes, the member is said to be in pure bending. 2. The internal stresses developed in the beam are known as flexural stresses. 3. There is an intermediate surface known as neutral surface, at which the stress is zero. 4. An axis obtained by intersection of the neutral surface and a cross-section is known as neutral axis. Which of the above statements are correct ?

A

2 and 3 only

B

1 and 4 only

C

3 and 4 only

D

1, 2, 3 and 4

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

If the modular ratio is ‘m’, steel ratio is ‘r’ and overall depth of a beam is ‘d’, the depth of the critical neutral axis of the beam, is

A

$$\frac{{\text{m}}}{{{\text{m}} - {\text{r}}}} \times {\text{d}}$$

B

$$\frac{{\text{m}}}{{{\text{m}} + {\text{r}}}} \times {\text{d}}$$

C

$$\frac{{{\text{m}} + {\text{r}}}}{{\text{m}}} \times {\text{d}}$$

D

$$\frac{{{\text{r}} - {\text{m}}}}{{\text{m}}} \times {\text{d}}$$

A simply supported beam 'A' of length l, breadth b, and depth d carries a central point load W. Another beam 'B' has the same length and depth but its breadth is doubled. The deflection of beam 'B' will be __________ as compared to beam 'A'.

A

One-fourth

B

One-half

C

Double

D

Four times

The rectangular beam 'A ' has length l, width b and depth d. Another beam 'B' has the same width and depth but length is double that of 'A'. The elastic strength of beam 'B' will be __________ as compared to beam A.

A

Same

B

One-half

C

One-fourth

D

One-eighth

In case of an under-reinforced beam, the depth of actual neutral axis is __________ that of the critical neutral axis.

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