Young's Modulus of Normal-Weight Concrete

Ec=2.5×1010 PaE_{c} = 2.5 \times 10^{10}\ \text{Pa}
Value2.5e10 Pa
StatusMeasured: ± 5,000,000,000 Pa (0.2 relative)
SourceACI 318, Building Code Requirements for Structural Concrete
CategoriesMaterial PropertiesEngineering & Trademechanics
E_c in every pressure unit
pascal25,000,000,000 Pa
kilopascal25,000,000 kPa
megapascal25,000 MPa
bar250,000 bar
atmosphere246,730.82 atm
millimeter of mercury187,515,390 mmHg
pound per square inch3,625,943.4 psi
foot of water column8,363,814.1 ft H₂O
gigapascal25 GPa
kip per square inch3,625.9434 ksi
inch of mercury7,382,495.8 inHg
inch of water column100,365,770 in w.g.

Learning zone

Concrete has no true Young's modulus: its stress-strain curve bends from the first increment of load, so codes define a secant modulus to about 45 % of f'c and then estimate it from compressive strength. ACI 318 gives Ec = 4700√f'c in MPa (57 000√f'c in psi), which puts 28 MPa concrete at roughly 25 GPa — about an eighth of steel. Note the square root: doubling the strength of the mix raises stiffness by only 40 %.

The scatter is large and honest. Measured moduli for a given strength routinely fall ±20 % around the formula because aggregate stiffness dominates and aggregate is a local material; limestone, granite and river gravel mixes at the same f'c differ markedly. Lightweight concrete is far softer still. Worse, this is only the short-term modulus: creep under sustained load can multiply long-term deflection by two or three, which is why deflection checks use a reduced effective modulus or an explicit creep coefficient, and why cracked-section properties, not gross Ig, govern serviceability.