Concrete structures miscellaneous
- The flexural tensile strength of M25 grade of concrete, in N/mm2, as per IS: 456-2000 is _______
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Flexural tensile strength = 0.7 √ fck
= 0.7 × √25 = 3.5 N/mm2.Correct Option: C
Flexural tensile strength = 0.7 √ fck
= 0.7 × √25 = 3.5 N/mm2.
- The development length of a deformed reinforcement bar can be expressed as (1/k) (Φσs/ τbd).
From the IS:456-2000, the value of k can be calculated as _________.
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Ld = Φσst 4τbd
For deformed bars, τbd is increased by 60%∴ Ld = Φσst 4× (τbd × 1.6) = Φσst 6.4τbd = Φσst kτbd
∴ k = 6.4Correct Option: A
Ld = Φσst 4τbd
For deformed bars, τbd is increased by 60%∴ Ld = Φσst 4× (τbd × 1.6) = Φσst 6.4τbd = Φσst kτbd
∴ k = 6.4
- The composition of an air-entrained concrete is given below:
Water: 184 kg/m2
Ordinary Portland Cement(OPC): 368 kg/m3
Sand: 606 kg/m3
Coarse aggregate: 1155 kg/m3
Assume the specific gravity of OPC, sand and coarse aggregate to be 3.14, 2.67 and 2.74, respectively. The air content is ______ litres/m3.
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Mc + Ms + Ma + Vw + Va = 1 ρc ρs ρa ⇒ 368 + 606 3.14 × 1000 2.67 × 1000 + 1155 + 184 + Va = 1 2.74 × 1000 1000
⇒ 0.117 + 0.227 + 0.421 + 0.184 + Va = 1
∴Va = 0.051 = 51 l/m3Correct Option: A
Mc + Ms + Ma + Vw + Va = 1 ρc ρs ρa ⇒ 368 + 606 3.14 × 1000 2.67 × 1000 + 1155 + 184 + Va = 1 2.74 × 1000 1000
⇒ 0.117 + 0.227 + 0.421 + 0.184 + Va = 1
∴Va = 0.051 = 51 l/m3
- Consider the singly reinforced beam section given below(left figure). the stress block parameters for the cross- section from IS: 456-2000 are also given below (right figure). The moment of resistance for the given section by the limit state method is ______ kN-m.
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Ast = 4 × π d2 4 = 4 × π (12)2 4
= 453 mm2
0.36 fck. b. xu = 0.87 fy. Ast⇒ xu = 0.87fy.Ast 0.36 fck .b = 0.87 × 415 × 453 = 90.86 mm 0.36 × 25 × 200
xu. max = 0.48d
= 0.48 × 300 = 144 mm
∴ xu < xu max
∴ it is U.R section (under reinforced)
Moment of resistance,
MV = 0.87 × fy × Ast × (d – 0.42 xu)
= 0.87 × 415 × 453 (300 – 0.42 × 90.86) = 42.82 kNmCorrect Option: C
Ast = 4 × π d2 4 = 4 × π (12)2 4
= 453 mm2
0.36 fck. b. xu = 0.87 fy. Ast⇒ xu = 0.87fy.Ast 0.36 fck .b = 0.87 × 415 × 453 = 90.86 mm 0.36 × 25 × 200
xu. max = 0.48d
= 0.48 × 300 = 144 mm
∴ xu < xu max
∴ it is U.R section (under reinforced)
Moment of resistance,
MV = 0.87 × fy × Ast × (d – 0.42 xu)
= 0.87 × 415 × 453 (300 – 0.42 × 90.86) = 42.82 kNm
- A simply supported reinforced concrete beam of length 10 m sags while undergoing shrinkage. Assuming a uniform curvature of 0.004 m-1 along the span, the maximum deflection (in m) of the beam at mid-span is ____________
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R = 1 + 1 = 250 m ψ 0.04
Deflected length
= 249.9995 m
∴ Deflection = 250 – 249.9995 = 0.0005 mCorrect Option: A
R = 1 + 1 = 250 m ψ 0.04
Deflected length
= 249.9995 m
∴ Deflection = 250 – 249.9995 = 0.0005 m