According to the "Structural Engineer's Pocket Book" concrete commonly has a modulus of elasticity in the range of 17 - 30 GPa.
The exact value of modulus of elasticity depends on the concrete's uniaxial compressive strength after a cure time of 28 days.
These values are related using the following:
Emc = 4700 x sqrt(UCS)
Where:
Emc = Elastic Modulus (MPa)
UCS = Uniaxial Compressive Strength of Concrete after 28 days (MPa).
Source:
Cobb, F. (2009). Structural Engineer's Pocket Book, Second Edition. London, Butterworth-Heinemann.
The modulus of elasticity of concrete is denoted by Ec .Ec = 5000 sqrt fck as per IS standardswhere, fck- The compressive strength of concrete at 28 days in N/mm2 .
5000x (fck)*power(1/2) =5000x5 =25000 N/mm2
30-100 Gpa (in compression)
how does the fineness modulus of aggregate affect the strength of concrete
Stiffness is defined as the ratio of load per unit deformation.
According to IS 456-2000 the value is square root of 5700fck
The modular ratio is the ratio of the modulus of elasticity of steel to the modulus of elasticity of concrete. For M20 concrete, which typically has a characteristic compressive strength of 20 MPa, the modulus of elasticity is generally assumed to be around 25 GPa. If we consider the modulus of elasticity of steel to be approximately 200 GPa, the modular ratio (n) can be calculated as n = E_steel / E_concrete, resulting in a modular ratio of about 8. This means that the stiffness of steel is roughly eight times that of M20 concrete.
IN MACHINE design modulus of elasticity place an important role. from the value of modolus of elasticity we come to know about maximum value of load that can be to the given material upto which the material is assume to follow the hook's law.
The modulus of elasticity of concrete is denoted by Ec .Ec = 5000 sqrt fck as per IS standardswhere, fck- The compressive strength of concrete at 28 days in N/mm2 .
Yes, Young's Modulus is the same as Modulus of Elasticity.
Yes, the modulus of elasticity is the same as Young's modulus.
130 gpa
applications of modulas of elasticity As the term implies, "Modulus of Elasticity" basically relates to the elasticity or "flexibility" of a material. The value of modulus of elasticity are very much significant relating to deflection of certain materials used in the construction industry. Take for example the general E value of mild carbon steel is about 200 GPa compared to about 70 GPa for aluminum. This simply translate that aluminum is 3 times flexible than steel.
5000x (fck)*power(1/2) =5000x5 =25000 N/mm2
Young's modulus
the dimensions of Young's Modulus of Elasticity = (M).(L)^(-1).(T)^(-2)
The modular ratio of concrete is a measure used in structural engineering to relate the elastic moduli of concrete to that of reinforcing steel. It is defined as the ratio of the modulus of elasticity of steel to the modulus of elasticity of concrete. This ratio helps engineers determine how much the two materials will deform under load and is crucial for analyzing the behavior of reinforced concrete structures. Typically, the modular ratio for concrete is around 8 to 12, depending on the specific types of concrete and steel used.