Couple Force of Cross Section Calculator

✖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%
✖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%

✖Couple Force is a system of forces with a resultant moment but no resultant force.ⓘ Couple Force of Cross Section [C]

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Couple Force of Cross Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Couple Force - (Measured in Newton) - Couple Force is a system of forces with a resultant moment but no resultant force.
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.
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

Modulus of Elasticity of Concrete: 0.157 Megapascal --> 157000 Pascal (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

C = 0.5*E_c*ε_c*x*W_cr --> 0.5*157000*1.69*0.05*0.00049

Evaluating ... ...

C = 3.2502925

STEP 3: Convert Result to Output's Unit

3.2502925 Newton -->0.0032502925 Kilonewton (Check conversion here)

FINAL ANSWER

0.0032502925 ≈ 0.00325 Kilonewton <-- Couple Force

(Calculation completed in 00.004 seconds)

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< Evaluation of Average Strain and Neutral Axis Depth Calculators

Height of Crack Width at Soffit given Average Strain

LaTeX 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

LaTeX 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

LaTeX 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))

Couple Force of Cross Section

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

Couple Force of Cross Section Formula

LaTeX Go

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

What does Modulus of Elasticity of Concrete(Ec) mean?

Modulus of elasticity of concrete(Ec) is defined as the ratio of the applied stress to the corresponding strain.

How to Calculate Couple Force of Cross Section?

Couple Force of Cross Section calculator uses Couple Force = 0.5*Modulus of Elasticity of Concrete*Strain in Concrete*Depth of Neutral Axis*Crack Width to calculate the Couple Force, The Couple Force of Cross Section is defined as a system of forces with a resultant (a.k.a.net or sum) moment but no resultant force. A better term is force couple or pure moment. Couple Force is denoted by C symbol.

How to calculate Couple Force of Cross Section using this online calculator? To use this online calculator for Couple Force of Cross Section, enter Modulus of Elasticity of Concrete (E_c), Strain in Concrete (ε_c), Depth of Neutral Axis (x) & Crack Width (W_cr) and hit the calculate button. Here is how the Couple Force of Cross Section calculation can be explained with given input values -> 3.3E-6 = 0.5*157000*1.69*0.05*0.00049.

FAQ

What is Couple Force of Cross Section?

The Couple Force of Cross Section is defined as a system of forces with a resultant (a.k.a.net or sum) moment but no resultant force. A better term is force couple or pure moment and is represented as C = 0.5*E_c*ε_c*x*W_cr or Couple Force = 0.5*Modulus of Elasticity of Concrete*Strain in Concrete*Depth of Neutral Axis*Crack Width. Modulus of Elasticity of Concrete is defined as the ratio of the applied stress to the corresponding strain, 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 Couple Force of Cross Section?

The Couple Force of Cross Section is defined as a system of forces with a resultant (a.k.a.net or sum) moment but no resultant force. A better term is force couple or pure moment is calculated using Couple Force = 0.5*Modulus of Elasticity of Concrete*Strain in Concrete*Depth of Neutral Axis*Crack Width. To calculate Couple Force of Cross Section, you need Modulus of Elasticity of Concrete (E_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 Modulus of Elasticity of Concrete, 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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