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Young’s Modulus of Elasticity of Concrete
To complete a structural analysis, determination of E, Modulus of Elasticity is very important to produce accurate analysis result. According to Hooke's Law, for a small deformation, the stress in a body is proportional to the corresponding strain, i.e. stress ∝ strain
stress = (E) (strain)
Therefore ;
E, Young's modulus (N/mm2)
= stress / strain
= σ / ε
Where, E = stress/strain is a constant called modulus of elasticity.
Depending upon the nature of force applied on the body, the modulus of the elasticity is classified in the following three types which is ;
1. Young’s Modulus of Elasticity (Y)
2. Bulk Modulus of Elasticity (B)
3. Modulus of Rigidity (η)
The modulus of elasticity of concrete is a function of the modulus of elasticity of the aggregates and the cement matrix and their relative proportions. The modulus of elasticity of concrete is relatively constant at low stress levels but starts decreasing at higher stress levels as matrix cracking develops. The elastic modulus of the hardened paste may be in the order of 10-30 GPa and aggregates about 45 to 85 GPa. The concrete composite is then in the range of 30 to 50 GPa.
Usually for concrete, to determine modulus of elasticity by refer to British Standard,
Ec, = 4700x sqrt(fcu)
where ;
Ec = Young's modulus of concrete (N/mm2)
fcu = concrete grade of concrete (N/mm2)
