Concrete Column Elasticity Modulus using Flexural Stiffness Calculator

✖Flexural Stiffness of Column is a standard for measuring deformation.ⓘ Flexural Stiffness of Column [K_c]			+10% -10%
✖Moment of Inertia of the section about an axis parallel to the free surface passing through the centroid of the area.ⓘ Moment of Inertia [I]			+10% -10%

✖Modulus of Elasticity of Concrete is the ratio of the applied stress to the corresponding strain.ⓘ Concrete Column Elasticity Modulus using Flexural Stiffness [E_c]

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Formula

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Concrete Column Elasticity Modulus using Flexural Stiffness

Formula

`"E"_{"c"} = "K"_{"c"}/"I"`

Example

`"0.157303MPa"="0.56MPa"/"3.56kg·m²"`

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Concrete Column Elasticity Modulus using Flexural Stiffness Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Elasticity of Concrete = Flexural Stiffness of Column/Moment of Inertia
E_c = K_c/I
This formula uses 3 Variables

Variables Used

Modulus of Elasticity of Concrete - (Measured in Pascal) - Modulus of Elasticity of Concrete is the ratio of the applied stress to the corresponding strain.
Flexural Stiffness of Column - (Measured in Pascal) - Flexural Stiffness of Column is a standard for measuring deformation.
Moment of Inertia - (Measured in Kilogram Square Meter) - Moment of Inertia of the section about an axis parallel to the free surface passing through the centroid of the area.

STEP 1: Convert Input(s) to Base Unit

Flexural Stiffness of Column: 0.56 Megapascal --> 560000 Pascal (Check conversion here)
Moment of Inertia: 3.56 Kilogram Square Meter --> 3.56 Kilogram Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_c = K_c/I --> 560000/3.56

Evaluating ... ...

E_c = 157303.370786517

STEP 3: Convert Result to Output's Unit

157303.370786517 Pascal -->0.157303370786517 Megapascal (Check conversion here)

FINAL ANSWER

0.157303370786517 ≈ 0.157303 Megapascal <-- Modulus of Elasticity of Concrete

(Calculation completed in 00.020 seconds)

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Clear Span in Direction Moments given Total Static Design Moment

Go Clear Span in Direction of Moments = sqrt((Total Static Design Moment in Strip*8)/(Uniform Design Load*Span Perpendicular to L1))

Strip Width given Total Static Design Moment

Go Span Perpendicular to L1 = (8*Total Static Design Moment in Strip)/(Uniform Design Load*(Clear Span in Direction of Moments)^2)

Uniform Design Load Per Unit of Slab Area given Total Static Design Moment

Go Uniform Design Load = (Total Static Design Moment in Strip*8)/(Span Perpendicular to L1*Clear Span in Direction of Moments^2)

Total Static Design Moment in Strip

Go Total Static Design Moment in Strip = (Uniform Design Load*Span Perpendicular to L1*(Clear Span in Direction of Moments)^2)/8

Moment of Inertia of Centroidal Axis given Flexural Stiffness

Go Moment of Inertia = Flexural Stiffness of Column/Modulus of Elasticity of Concrete

Concrete Column Elasticity Modulus using Flexural Stiffness

Go Modulus of Elasticity of Concrete = Flexural Stiffness of Column/Moment of Inertia

Concrete Column Elasticity Modulus using Flexural Stiffness Formula

Modulus of Elasticity of Concrete = Flexural Stiffness of Column/Moment of Inertia
E_c = K_c/I

What is Flexural Stiffness?

Flexural stiffness is a measure of the resistance to bending. The more difficult is to bend it, the higher the flexural stiffness.

Definition of Elastic Modulus.

Elastic modulus measures the resistance of the material to elastic—or “springy”—deformation. Low-modulus materials are floppy and stretch a lot when they are pulled (squash down a lot when pushed). High-modulus materials are the opposite—they stretch very little when pulled (squash down very little when pushed).

How to Calculate Concrete Column Elasticity Modulus using Flexural Stiffness?

Concrete Column Elasticity Modulus using Flexural Stiffness calculator uses Modulus of Elasticity of Concrete = Flexural Stiffness of Column/Moment of Inertia to calculate the Modulus of Elasticity of Concrete, The Concrete Column Elasticity Modulus using Flexural Stiffness formula is defined as relatively constant at low-stress levels but starts decreasing at higher stress levels as matrix cracking develops. Modulus of Elasticity of Concrete is denoted by E_c symbol.

How to calculate Concrete Column Elasticity Modulus using Flexural Stiffness using this online calculator? To use this online calculator for Concrete Column Elasticity Modulus using Flexural Stiffness, enter Flexural Stiffness of Column (K_c) & Moment of Inertia (I) and hit the calculate button. Here is how the Concrete Column Elasticity Modulus using Flexural Stiffness calculation can be explained with given input values -> 1.6E-7 = 560000/3.56.

FAQ

What is Concrete Column Elasticity Modulus using Flexural Stiffness?

The Concrete Column Elasticity Modulus using Flexural Stiffness formula is defined as relatively constant at low-stress levels but starts decreasing at higher stress levels as matrix cracking develops and is represented as E_c = K_c/I or Modulus of Elasticity of Concrete = Flexural Stiffness of Column/Moment of Inertia. Flexural Stiffness of Column is a standard for measuring deformation & Moment of Inertia of the section about an axis parallel to the free surface passing through the centroid of the area.

How to calculate Concrete Column Elasticity Modulus using Flexural Stiffness?

The Concrete Column Elasticity Modulus using Flexural Stiffness formula is defined as relatively constant at low-stress levels but starts decreasing at higher stress levels as matrix cracking develops is calculated using Modulus of Elasticity of Concrete = Flexural Stiffness of Column/Moment of Inertia. To calculate Concrete Column Elasticity Modulus using Flexural Stiffness, you need Flexural Stiffness of Column (K_c) & Moment of Inertia (I). With our tool, you need to enter the respective value for Flexural Stiffness of Column & Moment of Inertia 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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