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

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

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

A

Same as

B

Less than

C

Greater than

D

None of these

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 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

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

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

In WSM, if the critical depth of neutral axis is equal to k × d where d is effective depth of beam, then what is the value of k for steel 500 and concrete M25?

A

0.40

B

0.48

C

0.253

D

0.46

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 a simply supported beam with a uniformly distributed load having a neutral axis (NA) as shown. For points P (on the neutral axis) and Q (at the bottom of the beam) the state of stress is best represented by which of the following pairs?

A

B

C

D

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

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