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Relation between Young's modulus and characteristic strength of concrete is ___________ according to IS 456: 2000.

  • A.\(E_{c} = 500\sqrt{fck}\)
  • B.\(E_{c} = 5000\sqrt{fck}\)
  • C.\(E_{c} = 700\sqrt{fck}\)
  • D.\(E_{c} = 5500\sqrt{fck}\)

Answer: B

IS 456: 2000 gives \(E_c = 5000\sqrt{f_{ck}}\).

Clause 6.2.3.1 of IS 456: 2000 gives the short-term static modulus of elasticity of concrete as \(E_c = 5000\sqrt{f_{ck}}\), with \(E_c\) and \(f_{ck}\) in N/mm2. For M20 concrete this gives about 22,360 N/mm2.

The older IS 456: 1978 used \(5700\sqrt{f_{ck}}\), which is why nearby numbers appear among the options, but 500, 700 and 5500 are not the code coefficients.

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