Modular Ratio Calculator

✖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.ⓘ Modulus of Elasticity of Steel [E_s]			+10% -10%
✖Modulus of Elasticity of Concrete is defined as the ratio of the applied stress to the corresponding strain.ⓘ Modulus of Elasticity of Concrete [E_c]			+10% -10%

✖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.ⓘ Modular Ratio [m]

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Formula

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Modular Ratio

Formula

`"m" = ("E"_{"s"})/("E"_{"c"})`

Example

`"43915.65"=("1000ksi")/("0.157MPa")`

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Modular Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modular Ratio = (Modulus of Elasticity of Steel)/(Modulus of Elasticity of Concrete)
m = (E_s)/(E_c)
This formula uses 3 Variables

Variables Used

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.
Modulus of Elasticity of Steel - (Measured in Megapascal) - 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.
Modulus of Elasticity of Concrete - (Measured in Megapascal) - Modulus of Elasticity of Concrete is defined as the ratio of the applied stress to the corresponding strain.

STEP 1: Convert Input(s) to Base Unit

Modulus of Elasticity of Steel: 1000 Kilopound Per Square Inch --> 6894.75729310432 Megapascal (Check conversion here)
Modulus of Elasticity of Concrete: 0.157 Megapascal --> 0.157 Megapascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = (E_s)/(E_c) --> (6894.75729310432)/(0.157)

Evaluating ... ...

m = 43915.6515484352

STEP 3: Convert Result to Output's Unit

43915.6515484352 --> No Conversion Required

FINAL ANSWER

43915.6515484352 ≈ 43915.65 <-- Modular Ratio

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Structural Engineering » Concrete Structures » Behaviour in Flexure » Design of Beam and Slab » Singly Reinforced Rectangular Sections » Modular Ratio

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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Bhilai Institute of Technology (BIT), Raipur

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< 7 Singly Reinforced Rectangular Sections Calculators

Stress in Steel with Tension Reinforcement only

Go Tensile Stress in Steel = (Modular Ratio*Compressive Stress at Extreme Concrete Surface*(1-Ratio of Depth))/(Ratio of Depth)

Distance from Extreme Compression to Centroid given Steel Ratio

Go Distance from Compression to Centroid Reinforcment = (Area of Tension Reinforcement)/(Beam Width*Steel Ratio)

Beam Width given Steel Ratio

Go Beam Width = (Area of Tension Reinforcement)/(Distance from Compression to Centroid Reinforcment*Steel Ratio)

Steel Ratio

Go Steel Ratio = (Area of Tension Reinforcement)/(Beam Width*Distance from Compression to Centroid Reinforcment)

Area of Tension Reinforcement given Steel Ratio

Go Area of Tension Reinforcement = (Steel Ratio*Beam Width*Distance from Compression to Centroid Reinforcment)

Modular Ratio

Go Modular Ratio = (Modulus of Elasticity of Steel)/(Modulus of Elasticity of Concrete)

Lever Arm Depth Factor

Go Constant j = 1-(Ratio of Depth/3)

Modular Ratio Formula

Modular Ratio = (Modulus of Elasticity of Steel)/(Modulus of Elasticity of Concrete)
m = (E_s)/(E_c)

Why Modular Ratio is used in Working Stress Method?

Working Stress Method takes into consideration the strain compatibility. This means the strain in steel is assumed to be equal to that of concrete. This will make the stress in steel to have a constant relationship with the concrete adjoining by means of a constant factor called as Modular Ratio.

what is Modular Ratio?

Modular ratio is 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.

How to Calculate Modular Ratio?

Modular Ratio calculator uses Modular Ratio = (Modulus of Elasticity of Steel)/(Modulus of Elasticity of Concrete) to calculate 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 calculate Modular Ratio using this online calculator? To use this online calculator for Modular Ratio, enter Modulus of Elasticity of Steel (E_s) & Modulus of Elasticity of Concrete (E_c) and hit the calculate button. Here is how the Modular Ratio calculation can be explained with given input values -> 43915.65 = (6894757293.10432)/(157000).

FAQ

What is 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 and is represented as m = (E_s)/(E_c) or Modular Ratio = (Modulus of Elasticity of Steel)/(Modulus of Elasticity of Concrete). 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 & Modulus of Elasticity of Concrete is defined as the ratio of the applied stress to the corresponding strain.

How to calculate 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 is calculated using Modular Ratio = (Modulus of Elasticity of Steel)/(Modulus of Elasticity of Concrete). To calculate Modular Ratio, you need Modulus of Elasticity of Steel (E_s) & Modulus of Elasticity of Concrete (E_c). With our tool, you need to enter the respective value for Modulus of Elasticity of Steel & Modulus of Elasticity of Concrete and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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