Indian standard specifications for estimating tensile strength and modulus of elasticity of concrete, if the characteristic strength fck is known, respectively are

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BPSC AE Paper 5 (Civil) 11 Nov 2022 Official Paper
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  1. \(0.7 \sqrt{f_{c k}}\) and 5000 \(\sqrt{f_{c k}}\)
  2. \(0.75 f_{c k}\) and \(7000 f_{c k}\)
  3. \(0.7 f_{c k}\) and \(5000 f_{c k}\)
  4. \(0.75 \sqrt{f_{c k}}\) and \(7000 \sqrt{f_{c k}}\)

Answer (Detailed Solution Below)

Option 1 : \(0.7 \sqrt{f_{c k}}\) and 5000 \(\sqrt{f_{c k}}\)
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Detailed Solution

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CONCEPT:

As per IS 456: 2000,

The Short term Static Modulus of elasticity of concrete Ec is given as-

\({{\rm{E}}_{\rm{c}}} = 5000{\rm{\;}}\sqrt {{{\rm{f}}_{{\rm{ck}}}}} \)

Where,

fck = characteristic compressive strength of concrete,

fck and Ec are measured in MPa.

As per IS 456:2000, the flexural tensile strength of concrete = \(0.7\sqrt {{{\rm{f}}_{{\rm{ck}}}}} \)

Where, fck = 28 days characteristic compressive strength of concrete, which is the full strength of the concrete

Flexural tensile strength of concrete is always lesser than its characteristics compressive strength and it increases with an increase in the grade of the concrete.

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