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*Ec*εc*x*Wcr
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*Ecc*x*Wcr --> 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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National Institute of Technology (NIT), Warangal
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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
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))
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))
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)

Couple Force of Cross Section Formula

Couple Force = 0.5*Modulus of Elasticity of Concrete*Strain in Concrete*Depth of Neutral Axis*Crack Width
C = 0.5*Ec*εc*x*Wcr

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 (Ec), Strain in Concrete c), Depth of Neutral Axis (x) & Crack Width (Wcr) 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*Ecc*x*Wcr 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 (Ec), Strain in Concrete c), Depth of Neutral Axis (x) & Crack Width (Wcr). 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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