Strain 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%
✖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%
✖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%

✖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 given Couple Force of Cross Section [ε_c]

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Strain given Couple Force of Cross Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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)
Modulus of Elasticity of Concrete: 0.157 Megapascal --> 157000 Pascal (Check conversion here)
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

ε_c = C/(0.5*E_c*x*W_cr) --> 28/(0.5*157000*0.05*0.00049)

Evaluating ... ...

ε_c = 14.5586897179254

STEP 3: Convert Result to Output's Unit

14.5586897179254 --> No Conversion Required

FINAL ANSWER

14.5586897179254 ≈ 14.55869 <-- Strain in Concrete

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Structural Engineering » Prestressed Concrete » Crack Width and Deflection of Prestress Concrete Members » Calculation of Crack Width » Evaluation of Average Strain and Neutral Axis Depth » Strain given Couple Force of Cross Section

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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

Strain given Couple Force of Cross Section Formula

LaTeX Go

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

What does Modulus of Elasticity of Concrete mean?

Modulus of elasticity of concrete (Ec) is defined as the ratio of the applied stress to the corresponding strain. Not only does it demonstrate the ability of concrete to withstand deformation due to applied stress but also its stiffness. In other words, it reflects the ability of concrete to deflect elastically. Modulus of elasticity of concrete is sensitive to aggregate and mixture proportions of concrete.

What is Couple Force?

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. The simplest kind of couple consists of two equal and opposite forces whose lines of action do not coincide.

How to Calculate Strain given Couple Force of Cross Section?

Strain given Couple Force of Cross Section calculator uses Strain in Concrete = Couple Force/(0.5*Modulus of Elasticity of Concrete*Depth of Neutral Axis*Crack Width) to calculate the Strain in Concrete, The Strain given Couple Force of Cross Section is defined as the amount of deformation experienced by body in direction of force. Strain in Concrete is denoted by ε_c symbol.

How to calculate Strain given Couple Force of Cross Section using this online calculator? To use this online calculator for Strain given Couple Force of Cross Section, enter Couple Force (C), Modulus of Elasticity of Concrete (E_c), Depth of Neutral Axis (x) & Crack Width (W_cr) and hit the calculate button. Here is how the Strain given Couple Force of Cross Section calculation can be explained with given input values -> 10399.06 = 28/(0.5*157000*0.05*0.00049).

FAQ

What is Strain given Couple Force of Cross Section?

The Strain given Couple Force of Cross Section is defined as the amount of deformation experienced by body in direction of force and is represented as ε_c = C/(0.5*E_c*x*W_cr) or Strain in Concrete = Couple Force/(0.5*Modulus of Elasticity of Concrete*Depth of Neutral Axis*Crack Width). Couple Force is a system of forces with a resultant moment but no resultant force, Modulus of Elasticity of Concrete is defined as the ratio of the applied stress to the corresponding strain, 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 Strain given Couple Force of Cross Section?

The Strain given Couple Force of Cross Section is defined as the amount of deformation experienced by body in direction of force is calculated using Strain in Concrete = Couple Force/(0.5*Modulus of Elasticity of Concrete*Depth of Neutral Axis*Crack Width). To calculate Strain given Couple Force of Cross Section, you need Couple Force (C), Modulus of Elasticity of Concrete (E_c), Depth of Neutral Axis (x) & Crack Width (W_cr). With our tool, you need to enter the respective value for Couple Force, Modulus of Elasticity of 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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