In a singly reinforced beam, the effective depth is measured from its compression edge to

If d and n are the effective depth and depth of the neutral axis respectively of a singly reinforced beam, the lever arm of the beam, is

A

d

B

n

C

$${\text{d}} + \frac{{\text{n}}}{3}$$

D

$${\text{d}} - \frac{{\text{n}}}{3}$$

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

A singly reinforced concrete beam of 25 cm width and 70 cm effective depth is provided with 18.75 cm² steel. If the modular ratio (m) is 15, the depth of the neutral axis, is

A

20 cm

B

25 cm

C

30 cm

D

35 cm

Let G be a simple undirected graph. Let TD be a depth first search tree of G. Let TB be a breadth first search tree of G. Consider the following statements. (I) No edge of G is a cross edge with respect to TD. (A cross edge in G is between two nodes neither of which is an ancestor of the other in TD .) (II) For every edge (u, v) of if u is at depth i and v is at depth j in TB , then |? − ?| = 1. Which of the statements above must necessarily be true?

A

I only

B

II only

C

Both I and II

D

Neither I nor II

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

Calculate the nominal shear stress, if a singly reinforced rectangular beam 230×450 mm effective depth is subjected to a factored load of 60 kN.

A

0.6 N/mm2

B

0.55 N/mm2

C

0.4 N/mm2

D

0.25 N/mm2

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

Consider the following statements: 1. Functions of reinforcement in reinforced soil and in reinforced concrete are comparable. 2. The design of a geotextile reinforced wall is similar in principle to that of a reinforced earth wall. Which of the above statements is/are correct?

A

1 only

B

2 only

C

Both 1 and 2

D

Neither 1 nor 2

In a singly reinforced beam, the effective depth is measured from its compression edge to

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