Test 8 - T-Beams and Flanged RCC Beams

Question 1 ప్రశ్న 1

Which statement most accurately distinguishes a T-beam from an L-beam in a monolithic RCC floor system?

A A T-beam generally has effective slab flange on both sides of its web, while an L-beam generally occurs at an edge with effective flange mainly on one side. B A T-beam contains no slab, while an L-beam always contains two slabs. C A T-beam can resist only positive moment, while an L-beam can resist only negative moment. D The distinction depends only on the grade of reinforcement.

Question 2 ప్రశ్న 2

What is the principal meaning of the effective flange width used in RCC flanged-beam design?

A It is a hypothetical width over which the flange compression is represented so that the section can account for the nonuniform longitudinal stress distribution in the slab. B It is always equal to the complete physical width of the floor slab. C It is the clear width of the beam web between stirrups. D It is the width of reinforcement required in the slab.

Question 3 ప్రశ్న 3

Which condition is required before a slab may be assumed to act as the compression flange of a T-beam or L-beam?

A The slab and web should be cast integrally or otherwise effectively bonded so that composite action can develop. B The slab must be completely separated from the beam web. C The slab concrete must always have a lower grade than the web concrete. D The beam must contain no shear reinforcement.

Question 4 ప్రశ్న 4

In the absence of a more accurate determination, which expression gives the effective flange width bf of a conventional T-beam according to IS 456, subject to the applicable width limitation?

A bf = l0/6 + bw + 6Df B bf = l0/12 + bw + 3Df C bf = l0/4 + 2bw D bf = bw + Df

Question 5 ప్రశ్న 5

In the absence of a more accurate determination, which expression gives the effective flange width bf of a conventional L-beam according to IS 456, subject to the applicable width limitation?

A bf = l0/6 + bw + 6Df B bf = l0/12 + bw + 3Df C bf = l0/3 + bw D bf = 2bw + Df

Question 6 ప్రశ్న 6

For estimating the effective flange width of a continuous beam or frame, what value may be assumed for l0, the distance between points of zero moment?

A 0.5 times the effective span B 0.7 times the effective span C 1.0 times the effective span D 1.5 times the effective span

Question 7 ప్రశ్న 7

A continuous T-beam has an effective span of 8 m, web width bw = 300 mm and flange thickness Df = 100 mm. Assume l0 = 0.7 times the effective span and that the geometric upper limit does not govern. What is bf approximately?

A 1400 mm B 1600 mm C 1833 mm D 2200 mm

Question 8 ప్రశ్న 8

An L-beam has l0 = 6 m, web width bw = 300 mm and flange thickness Df = 100 mm. Assuming the geometric upper limit does not govern, what effective flange width is obtained?

A 900 mm B 1000 mm C 1100 mm D 1900 mm

Question 9 ప్రశ్న 9

For a conventional T-beam or L-beam, the effective flange width calculated from the IS 456 expression is additionally limited so that it is not greater than:

A The web width plus half the sum of the clear distances to the adjacent beams on the two sides, as applicable B Twice the web width under every circumstance C The effective depth of the beam D The total area of tensile reinforcement divided by the flange thickness

Question 10 ప్రశ్న 10

If the neutral-axis depth xu of a flanged beam lies entirely within the flange thickness Df, how may the section be analysed for ultimate flexural resistance?

A As a rectangular section of width bf B As a rectangular section of width bw only C As an unreinforced section D As two independent beams having widths bf and bw

Question 11 ప్రశ్న 11

An M25 T-beam has bf = 1200 mm, Df = 120 mm, effective depth d = 500 mm and Ast = 1500 mm² of Fe415 steel. Assuming the tensile steel develops 0.87fy, what is the neutral-axis depth xu approximately?

A 38.3 mm B 50.1 mm C 100.0 mm D 140.5 mm

Question 12 ప్రశ్న 12

For the T-beam in the previous question with xu = 50.15 mm, what is its ultimate moment capacity approximately?

A 200.0 kN·m B 230.5 kN·m C 259.4 kN·m D 310.6 kN·m

Question 13 ప్రశ్న 13

For an under-reinforced flanged beam with the neutral axis in the web and with Df/xu sufficiently small that the full flange thickness may be represented at approximately uniform design compression, which compression-force expression is appropriate?

A C = 0.36fck bw xu + 0.45fck(bf - bw)Df B C = 0.36fck bf xu only C C = 0.87fyAst + 0.45fckbwDf D C = 0.36fck(bf - bw)(xu - Df)

Question 14 ప్రశ్న 14

An M25 flanged beam has bf = 1000 mm, bw = 300 mm, Df = 100 mm, d = 600 mm and Ast = 4000 mm² of Fe415 steel. Using C = 0.36fck bw xu + 0.45fck(bf - bw)Df and T = 0.87fyAst, what is xu approximately?

A 176.4 mm B 200.0 mm C 243.2 mm D 310.1 mm

Question 15 ప్రశ్న 15

For the flanged beam in the previous question, what is the ultimate moment capacity approximately?

A 540 kN·m B 660 kN·m C 760 kN·m D 920 kN·m

Question 16 ప్రశ్న 16

When the neutral axis lies in the web and the flange depth is relatively large so that the complete projecting flange cannot be represented by a constant 0.45fck stress over Df, what effective depth yf is used in the IS 456 flanged-section treatment?

A yf = 0.15xu + 0.65Df, but not greater than Df B yf = xu + Df C yf = 0.42xu D yf = Df/2 for every section

Question 17 ప్రశ్న 17

An M20 flanged beam has bf = 900 mm, bw = 300 mm, Df = 100 mm, d = 450 mm and Ast = 2400 mm² of Fe415 steel. Using yf = 0.15xu + 0.65Df and force equilibrium 0.36fck bw xu + 0.45fck(bf - bw)yf = 0.87fyAst, which pair is obtained approximately?

A xu = 130 mm and yf = 84.5 mm B xu = 173.6 mm and yf = 91.0 mm C xu = 216 mm and yf = 97.4 mm D xu = 250 mm and yf = 100 mm

Question 18 ప్రశ్న 18

For the M20 flanged beam in the previous question with xu = 173.58 mm and yf = 91.04 mm, what is the ultimate moment capacity approximately?

A 260.5 kN·m B 300.0 kN·m C 340.2 kN·m D 413.9 kN·m

Question 19 ప్రశ్న 19

An M20 T-beam has bf = 1000 mm, bw = 300 mm, Df = 80 mm, d = 500 mm and Fe415 steel. Since Df/d = 0.16, use the IS 456 limiting flanged-section expression with xu,max/d = 0.48. What is Mu,lim approximately?

A 258.7 kN·m B 350.0 kN·m C 438.8 kN·m D 525.1 kN·m

Question 20 ప్రశ్న 20

An M20 T-beam has bf = 1000 mm, bw = 300 mm, Df = 120 mm, d = 500 mm and Fe415 reinforcement. At the limiting neutral axis xu,max = 0.48d, what value of yf = 0.15xu,max + 0.65Df is obtained?

A 97.4 mm B 108 mm C 114 mm D 120 mm

Question 21 ప్రశ్న 21

For the T-beam in the previous question with xu,max = 240 mm and yf = 114 mm, what limiting ultimate moment capacity is obtained approximately?

A 438.8 kN·m B 475.0 kN·m C 525.1 kN·m D 600.0 kN·m

Question 22 ప్రశ్న 22

At an interior support of a continuous monolithic T-beam carrying negative bending moment, the top slab is generally in tension. Which flexural idealization is usually appropriate for the strength calculation at that region when no effective compression flange exists on the opposite face?

A Treat the compression zone essentially as a rectangular section of web width rather than crediting the top slab as a compression flange. B Always use the full T-beam flange width in compression. C Ignore the web and use only the slab width. D Assume the concrete tension zone carries the entire bending moment.

Question 23 ప్రశ్న 23

An M25 T-beam has bf = 1200 mm, bw = 300 mm, Df = 100 mm and d = 500 mm and uses Fe415 tension reinforcement. It must resist Mu = 200 kN·m. Assuming the neutral axis lies in the flange, solving the rectangular-section LSM equations gives what required Ast and corresponding xu approximately?

A Ast = 800 mm² and xu = 26.7 mm B Ast = 1145 mm² and xu = 38.3 mm C Ast = 1795 mm² and xu = 60.0 mm D Ast = 2400 mm² and xu = 100 mm

Question 24 ప్రశ్న 24

Consider the following statements about flanged RCC beams:
1. Effective flange width accounts for the nonuniform longitudinal compression distribution in the slab.
2. If xu lies within Df, the flexural section may be analysed as a rectangular section of width bf.
3. The conventional T-beam and L-beam effective-width expressions are different because their slab participation is different.
4. If xu lies below the flange, the section should always be analysed as a rectangular section of width bf over the entire compression depth.

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 flanged-beam concept with its correct expression or treatment:
1. Conventional T-beam effective flange width
2. Conventional L-beam effective flange width
3. Neutral axis within the flange
4. Effective flange-compression depth for the applicable thick-flange case

P. bf = l0/12 + bw + 3Df
Q. Treat as rectangular section of width bf
R. yf = 0.15xu + 0.65Df, not greater than Df
S. bf = l0/6 + bw + 6Df

Which matching is correct?

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

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