Modulus of Elasticity of Concrete given Couple Force of Cross-Section Calculator

✖Couple Force is a system of forces with a resultant moment but no resultant force.ⓘ Couple Force [C]			+10% -10%
✖Strain in Concrete is the reduction in volume of concrete after the application of loading then change in volume with respect to volume of concrete before applied loading.ⓘ Strain in Concrete [ε_c]			+10% -10%
✖Depth of Neutral Axis is defined as the distance from the top of the section to its neutral axis.ⓘ Depth of Neutral Axis [x]			+10% -10%
✖Crack Width describes the length of the crack in an element.ⓘ Crack Width [W_cr]			+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 given Couple Force of Cross-Section [E_c]

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Formula

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Modulus of Elasticity of Concrete given Couple Force of Cross-Section

Formula

`"E"_{"c"} = "C"/(0.5*"ε"_{"c"}*"x"*"W"_{"cr"})`

Example

`"1.352494MPa"="0.028kN"/(0.5*"1.69"*"50mm"*"0.49mm")`

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Download Crack Width and Deflection of Prestress Concrete Members Formulas PDF

Modulus of Elasticity of Concrete given Couple Force of Cross-Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Elasticity of Concrete = Couple Force/(0.5*Strain in Concrete*Depth of Neutral Axis*Crack Width)
E_c = C/(0.5*ε_c*x*W_cr)
This formula uses 5 Variables

Variables Used

Modulus of Elasticity of Concrete - (Measured in Pascal) - Modulus of Elasticity of Concrete is defined as the ratio of the applied stress to the corresponding strain.
Couple Force - (Measured in Newton) - Couple Force is a system of forces with a resultant moment but no resultant force.
Strain in Concrete - Strain in Concrete is the reduction in volume of concrete after the application of loading then change in volume with respect to volume of concrete before applied loading.
Depth of Neutral Axis - (Measured in Meter) - Depth of Neutral Axis is defined as the distance from the top of the section to its neutral axis.
Crack Width - (Measured in Meter) - Crack Width describes the length of the crack in an element.

STEP 1: Convert Input(s) to Base Unit

Couple Force: 0.028 Kilonewton --> 28 Newton (Check conversion here)
Strain in Concrete: 1.69 --> No Conversion Required
Depth of Neutral Axis: 50 Millimeter --> 0.05 Meter (Check conversion here)
Crack Width: 0.49 Millimeter --> 0.00049 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_c = C/(0.5*ε_c*x*W_cr) --> 28/(0.5*1.69*0.05*0.00049)

Evaluating ... ...

E_c = 1352493.66018597

STEP 3: Convert Result to Output's Unit

1352493.66018597 Pascal -->1.35249366018597 Megapascal (Check conversion here)

FINAL ANSWER

1.35249366018597 ≈ 1.352494 Megapascal <-- Modulus of Elasticity of Concrete

(Calculation completed in 00.004 seconds)

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< 13 Evaluation of Average Strain and Neutral Axis Depth Calculators

Height of Crack Width at Soffit given Average Strain

Go Height of Crack = (((Strain at Selected Level-Average Strain)*(3*Modulus of Elasticity of Steel Reinforcement*Area of Reinforcement*(Effective Depth of Reinforcement-Depth of Neutral Axis)))/(Crack Width*(Distance from Compression to Crack Width-Depth of Neutral Axis)))+Depth of Neutral Axis

Strain at Selected Level given Average Strain under Tension

Go Strain at Selected Level = Average Strain+(Crack Width*(Height of Crack-Depth of Neutral Axis)*(Distance from Compression to Crack Width-Depth of Neutral Axis))/(3*Modulus of Elasticity of Steel Reinforcement*Area of Reinforcement*(Effective Length-Depth of Neutral Axis))

Average Strain under Tension

Go Average Strain = Strain at Selected Level-(Crack Width*(Height of Crack-Depth of Neutral Axis)*(Distance from Compression to Crack Width-Depth of Neutral Axis))/(3*Modulus of Elasticity of Steel Reinforcement*Area of Reinforcement*(Effective Length-Depth of Neutral Axis))

Modulus of Elasticity of Concrete given Couple Force of Cross-Section

Go Modulus of Elasticity of Concrete = Couple Force/(0.5*Strain in Concrete*Depth of Neutral Axis*Crack Width)

Depth of Neutral Axis given Couple Force of Cross Section

Go Depth of Neutral Axis = Couple Force/(0.5*Modulus of Elasticity of Concrete*Strain in Concrete*Crack Width)

Strain given Couple Force of Cross Section

Go Strain in Concrete = Couple Force/(0.5*Modulus of Elasticity of Concrete*Depth of Neutral Axis*Crack Width)

Couple Force of Cross Section

Go Couple Force = 0.5*Modulus of Elasticity of Concrete*Strain in Concrete*Depth of Neutral Axis*Crack Width

Width of Section given Couple Force of Cross Section

Go Crack Width = Couple Force/(0.5*Modulus of Elasticity of Concrete*Strain*Depth of Neutral Axis)

Strain in Longitudinal Reinforcement given Tension Force

Go Strain in Longitudinal Reinforcement = Tension Force/(Area of Reinforcement*Modulus of Elasticity of Steel)

Modulus of Elasticity of Prestressed Steel given Compression Force

Go Prestressed Young's Modulus = Total Compression on Concrete/(Area of Prestressing Steel*Strain)

Compression Force for Prestressed Section

Go Total Compression on Concrete = Area of Prestressing Steel*Prestressed Young's Modulus*Strain

Strain in Prestressed Steel given Tension Force

Go Strain = Tension Force/(Area of Prestressing Steel*Prestressed Young's Modulus)

Area of Prestressing Steel given Tension Force

Go Area of Prestressing Steel = Tension Force/(Prestressed Young's Modulus*Strain)

Modulus of Elasticity of Concrete given Couple Force of Cross-Section Formula

Modulus of Elasticity of Concrete = Couple Force/(0.5*Strain in Concrete*Depth of Neutral Axis*Crack Width)
E_c = C/(0.5*ε_c*x*W_cr)

What does Couple Mean?

Couple is defined as a system of forces with a resultant (net or sum) moment but no resultant force. A better term is force couple or pure moment. Its effect is to create rotation without translation, or more generally without any acceleration of the center of mass.

What is the Difference between Torque and Couple?

The turning effect produced by a force on a body is called torque. It is calculated as force multiplied by perpendicular distance. A couple is a special case when there are two equal but opposite forces acting on a body that rotate it.

How to Calculate Modulus of Elasticity of Concrete given Couple Force of Cross-Section?

Modulus of Elasticity of Concrete given Couple Force of Cross-Section calculator uses Modulus of Elasticity of Concrete = Couple Force/(0.5*Strain in Concrete*Depth of Neutral Axis*Crack Width) to calculate the Modulus of Elasticity of Concrete, The Modulus of Elasticity of Concrete given Couple Force of Cross-Section is defined as the ratio of applied stress to corresponding strain. Modulus of Elasticity of Concrete is denoted by E_c symbol.

How to calculate Modulus of Elasticity of Concrete given Couple Force of Cross-Section using this online calculator? To use this online calculator for Modulus of Elasticity of Concrete given Couple Force of Cross-Section, enter Couple Force (C), Strain in Concrete (ε_c), Depth of Neutral Axis (x) & Crack Width (W_cr) and hit the calculate button. Here is how the Modulus of Elasticity of Concrete given Couple Force of Cross-Section calculation can be explained with given input values -> 0.000966 = 28/(0.5*1.69*0.05*0.00049).

FAQ

What is Modulus of Elasticity of Concrete given Couple Force of Cross-Section?

The Modulus of Elasticity of Concrete given Couple Force of Cross-Section is defined as the ratio of applied stress to corresponding strain and is represented as E_c = C/(0.5*ε_c*x*W_cr) or Modulus of Elasticity of Concrete = Couple Force/(0.5*Strain in Concrete*Depth of Neutral Axis*Crack Width). Couple Force is a system of forces with a resultant moment but no resultant force, Strain in Concrete is the reduction in volume of concrete after the application of loading then change in volume with respect to volume of concrete before applied loading, Depth of Neutral Axis is defined as the distance from the top of the section to its neutral axis & Crack Width describes the length of the crack in an element.

How to calculate Modulus of Elasticity of Concrete given Couple Force of Cross-Section?

The Modulus of Elasticity of Concrete given Couple Force of Cross-Section is defined as the ratio of applied stress to corresponding strain is calculated using Modulus of Elasticity of Concrete = Couple Force/(0.5*Strain in Concrete*Depth of Neutral Axis*Crack Width). To calculate Modulus of Elasticity of Concrete given Couple Force of Cross-Section, you need Couple Force (C), Strain in Concrete (ε_c), Depth of Neutral Axis (x) & Crack Width (W_cr). With our tool, you need to enter the respective value for Couple Force, Strain in Concrete, Depth of Neutral Axis & Crack Width 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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