Test 6 - Singly Reinforced Beams by Limit State Method

Question 1 ప్రశ్న 1

In a singly reinforced rectangular RCC beam, what does the effective depth d represent?

A The distance from the extreme compression face to the centroid of the tensile reinforcement B The overall depth of the beam including cover C The distance from the neutral axis to the tension face D The clear distance between compression and tension faces

Question 2 ప్రశ్న 2

A beam has an overall depth of 550 mm, nominal cover of 25 mm to the outer surface of an 8 mm stirrup, and 20 mm diameter main tension bars placed immediately inside the stirrup. What is the effective depth approximately?

A 497 mm B 507 mm C 517 mm D 525 mm

Question 3 ప్రశ్న 3

For a singly reinforced rectangular beam in which the tension steel develops its design stress, which ultimate-force equilibrium equation is correct?

A 0.36fck b xu = 0.87fy Ast B 0.42fck b xu = fy Ast C 0.67fck b d = 1.15fy Ast D 0.36fck b d = 0.42fy Ast

Question 4 ప్రశ్న 4

An M25 rectangular beam has b = 300 mm, d = 500 mm and Ast = 1200 mm² of Fe415 tension steel. Assuming the steel develops 0.87fy, what is the neutral-axis depth xu approximately?

A 120.4 mm B 160.5 mm C 200.6 mm D 240.0 mm

Question 5 ప్రశ్న 5

For the beam in the previous question, how should the section be classified with respect to the Fe415 limiting neutral-axis depth?

A Under-reinforced B Exactly limiting C Over-reinforced D Unreinforced

Question 6 ప్రశ్న 6

For the M25-Fe415 beam with d = 500 mm and xu = 160.47 mm, what is the ultimate lever arm z = d - 0.42xu approximately?

A 332.6 mm B 400.0 mm C 432.6 mm D 466.3 mm

Question 7 ప్రశ్న 7

What is the ultimate moment capacity of the M25 beam with b = 300 mm, d = 500 mm and Ast = 1200 mm² of Fe415 steel described above?

A 144.0 kN·m B 166.3 kN·m C 187.4 kN·m D 258.7 kN·m

Question 8 ప్రశ్న 8

For Fe415 reinforcement, what is the limiting neutral-axis depth ratio xu,max/d used in IS 456 Limit State flexural design?

A 0.42 B 0.46 C 0.48 D 0.53

Question 9 ప్రశ్న 9

An M25 beam has b = 300 mm and d = 500 mm and uses Fe415 reinforcement. What is its limiting tensile-steel area Ast,lim approximately?

A 1200 mm² B 1436 mm² C 1795 mm² D 2250 mm²

Question 10 ప్రశ్న 10

What is the limiting ultimate moment capacity of an M25 rectangular beam with b = 300 mm, d = 500 mm and Fe415 reinforcement?

A 187.4 kN·m B 206.9 kN·m C 225.2 kN·m D 258.7 kN·m

Question 11 ప్రశ్న 11

The M25, 300 mm × 500 mm effective-depth beam with Fe415 steel is provided with Ast = 1800 mm². Assuming 0.87fy initially gives xu approximately 240.7 mm, while xu,max = 240 mm. What is the correct interpretation?

A The section is safely under-reinforced. B The section is slightly beyond the limiting singly reinforced condition and should not be accepted using the ordinary yielding-steel solution. C The neutral-axis limit may be ignored because the excess is less than 1 mm. D Its permissible ultimate capacity can be increased indefinitely by adding more tension steel.

Question 12 ప్రశ్న 12

An M25 rectangular beam of width 300 mm with Fe415 reinforcement must resist a factored bending moment of 200 kN·m. Using the limiting coefficient Mu,lim = 0.138fckbd², what minimum effective depth is required approximately if the section is designed at the limiting condition?

A 385 mm B 420 mm C 440 mm D 500 mm

Question 13 ప్రశ్న 13

An M25 rectangular beam has b = 300 mm and d = 500 mm and must resist a factored moment of 180 kN·m using Fe415 tension steel. Solving the singly reinforced Limit State equations gives what required tensile-steel area approximately?

A 804 mm² B 942 mm² C 1144 mm² D 1795 mm²

Question 14 ప్రశ్న 14

An M25 beam has b = 300 mm, d = 500 mm and four 20 mm diameter Fe415 tension bars. Neglecting any difference between nominal and actual bar area beyond πd²/4, what is its ultimate moment capacity approximately?

A 152.1 kN·m B 180.0 kN·m C 194.8 kN·m D 258.7 kN·m

Question 15 ప్రశ్న 15

For a beam with b = 300 mm, d = 500 mm and Fe415 reinforcement, what is the minimum area of tension reinforcement according to Ast,min/(bd) = 0.85/fy?

A 205 mm² B 307 mm² C 415 mm² D 750 mm²

Question 16 ప్రశ్న 16

A rectangular beam has b = 300 mm and overall depth D = 550 mm. What is the maximum permitted area of tension reinforcement based on the IS 456 limit of 0.04bD?

A 3300 mm² B 4400 mm² C 6000 mm² D 6600 mm²

Question 17 ప్రశ్న 17

A flexural calculation for a beam with b = 300 mm, d = 500 mm and Fe415 steel gives a required tension-steel area of only 250 mm². The minimum code area is approximately 307 mm². What should be provided as a minimum for the flexural tension reinforcement?

A 250 mm² because the strength calculation always governs B Approximately 307 mm² or more C 125 mm² because the calculated value may be halved D No tension reinforcement is required

Question 18 ప్రశ్న 18

Which section dimension is used in the IS 456 maximum tension-reinforcement limit Ast,max = 0.04bD?

A The effective depth d B The neutral-axis depth xu C The overall depth D D The effective cover

Question 19 ప్రశ్న 19

An M30 beam has b = 250 mm, d = 450 mm and Ast = 1000 mm² of Fe500 steel. Assuming the steel develops 0.87fy, which set most closely gives xu and the ultimate moment capacity?

A xu = 120 mm and Mu = 120 kN·m B xu = 161 mm and Mu = 166 kN·m C xu = 207 mm and Mu = 203 kN·m D xu = 250 mm and Mu = 230 kN·m

Question 20 ప్రశ్న 20

For the M30, b = 250 mm, d = 450 mm beam with Fe500 steel in the previous question, what is the limiting moment capacity approximately?

A 166.3 kN·m B 180.0 kN·m C 202.9 kN·m D 258.7 kN·m

Question 21 ప్రశ్న 21

For a fixed rectangular beam section and material grades, what is the general effect of increasing Ast from a low under-reinforced value while still remaining within the singly reinforced limiting condition?

A xu generally increases and the flexural capacity generally increases. B xu decreases and the flexural capacity must decrease. C xu remains constant regardless of Ast. D The concrete compression force becomes zero.

Question 22 ప్రశ్న 22

Which statement correctly distinguishes nominal cover from effective cover for flexural calculations in a reinforced-concrete beam?

A Effective cover is the distance from the concrete surface to the centroid of the main reinforcement, whereas nominal cover is specified to the outermost reinforcement. B Nominal cover and effective cover are always numerically identical. C Effective cover is measured from the neutral axis to the concrete surface. D Nominal cover is measured to the centre of the main bar while effective cover is measured to the stirrup surface.

Question 23 ప్రశ్న 23

Which statement correctly distinguishes analysis from design of a singly reinforced beam by the Limit State Method?

A Analysis generally starts with known section dimensions and reinforcement to determine strength, whereas design starts with required actions and selects dimensions and reinforcement satisfying the code. B Analysis and design are identical operations and always have exactly the same unknowns. C Analysis requires no material strengths, while design requires no loads. D Design is performed only after the beam has failed.

Question 24 ప్రశ్న 24

Consider the following statements about singly reinforced rectangular beams designed by LSM:
1. For Fe415 steel, xu,max/d = 0.48.
2. Minimum tension steel is given by Ast/(bd) = 0.85/fy.
3. Maximum tension reinforcement is limited to 0.04bD.
4. If a calculated yielding-steel neutral axis exceeds xu,max, the excess may simply be ignored while retaining the same singly reinforced strength calculation.

Which statements are correct?

A 1 and 4 only B 1, 2 and 3 only C 2, 3 and 4 only D 1, 2, 3 and 4

Question 25 ప్రశ్న 25

Match each singly reinforced LSM quantity with its correct expression:
1. Neutral-axis depth when tensile steel develops design stress
2. Ultimate lever arm
3. Ultimate moment of resistance
4. Minimum tension reinforcement

P. 0.85bd/fy
Q. d - 0.42xu
R. 0.87fyAst(d - 0.42xu)
S. 0.87fyAst/(0.36fckb)

Which matching is correct?

A 1-S, 2-Q, 3-R, 4-P B 1-Q, 2-S, 3-P, 4-R C 1-R, 2-P, 3-S, 4-Q D 1-P, 2-R, 3-Q, 4-S

Answer Key || సమాధానాల పట్టిక

Related Quizzes || సంబంధిత క్విజ్‌లు

Civil HMWSSB, Unit 3 - Cement Concrete and Steel Structures Quiz

TGPSC HMWSSB Quiz

Answer Key సమాధానాల పట్టిక

Related Quizzes సంబంధిత క్విజ్‌లు