# Elastic Modulus of Concrete

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Elastic modulus of concrete, abbreviated as $$E_c$$, is valid for normal weight, normal density concrete.

## Elastic Modulus of concrete formula

 $$\large{ E_c = 57,000 \; \sqrt{ f_{c}{'} } }$$ (English units) $$\large{ E_c = 4700 \; \sqrt{ f_{c}{'} } }$$ (Metric units)

### Where:

 Units English Metric $$\large{ E_c }$$ = elastic modulus of concrete $$\large{\frac{lbf}{in^2}}$$ $$\large{MPa}$$ $$\large{ f_{c}{'} }$$  = concrete specified cylinder 28-day compression strength $$\large{\frac{lbf}{in^2}}$$ $$\large{MPa}$$