Modular Ratio Formula

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Modular Ratio is the ratio of modulus of elasticity of steel and concrete. Concrete has varying moduli as it is not a perfectly elastic material. essentially, m= Es/Ec. Check FAQs
m=EsEc
m - Modular Ratio?Es - Modulus of Elasticity of Steel?Ec - Modulus of Elasticity of Concrete?

Modular Ratio Example

With values
With units
Only example

Here is how the Modular Ratio equation looks like with Values.

Here is how the Modular Ratio equation looks like with Units.

Here is how the Modular Ratio equation looks like.

43915.6515Edit=1000Edit0.157Edit
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Modular Ratio Solution

Follow our step by step solution on how to calculate Modular Ratio?

FIRST Step Consider the formula
m=EsEc
Next Step Substitute values of Variables
m=1000ksi0.157MPa
Next Step Convert Units
m=6894.7573MPa0.157MPa
Next Step Prepare to Evaluate
m=6894.75730.157
Next Step Evaluate
m=43915.6515484352
LAST Step Rounding Answer
m=43915.6515

Modular Ratio Formula Elements

Variables
Modular Ratio
Modular Ratio is the ratio of modulus of elasticity of steel and concrete. Concrete has varying moduli as it is not a perfectly elastic material. essentially, m= Es/Ec.
Symbol: m
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Modulus of Elasticity of Steel
Modulus of Elasticity of Steel or elastic modulus is the resistance of the structure or object from being deformed elastically when a stress is applied.
Symbol: Es
Measurement: PressureUnit: ksi
Note: Value should be greater than 0.
Modulus of Elasticity of Concrete
Modulus of Elasticity of Concrete is defined as the ratio of the applied stress to the corresponding strain.
Symbol: Ec
Measurement: PressureUnit: MPa
Note: Value should be greater than 0.

Other formulas in Singly Reinforced Rectangular Sections category

​Go Stress in Steel with Tension Reinforcement only
fTS=mfcomp stress(1-k)k
​Go Distance from Extreme Compression to Centroid given Steel Ratio
d'=Abρsteel ratio
​Go Area of Tension Reinforcement given Steel Ratio
A=(ρsteel ratiobd')
​Go Beam Width given Steel Ratio
b=Ad'ρsteel ratio

How to Evaluate Modular Ratio?

Modular Ratio evaluator uses Modular Ratio = (Modulus of Elasticity of Steel)/(Modulus of Elasticity of Concrete) to evaluate the Modular Ratio, The Modular Ratio is defined as the ratio of the elastic modulus of a particular material in a cross-section to the elastic modulus of the “base” or the reference material. Modular Ratio is denoted by m symbol.

How to evaluate Modular Ratio using this online evaluator? To use this online evaluator for Modular Ratio, enter Modulus of Elasticity of Steel (Es) & Modulus of Elasticity of Concrete (Ec) and hit the calculate button.

FAQs on Modular Ratio

What is the formula to find Modular Ratio?
The formula of Modular Ratio is expressed as Modular Ratio = (Modulus of Elasticity of Steel)/(Modulus of Elasticity of Concrete). Here is an example- 43915.65 = (6894757293.10432)/(157000).
How to calculate Modular Ratio?
With Modulus of Elasticity of Steel (Es) & Modulus of Elasticity of Concrete (Ec) we can find Modular Ratio using the formula - Modular Ratio = (Modulus of Elasticity of Steel)/(Modulus of Elasticity of Concrete).
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