Width of Section 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%
✖Strain is simply the measure of how much an object is stretched or deformed.ⓘ Strain [ε]			+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.ⓘ Width of Section given Couple Force of Cross Section [W_cr]

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Width of Section given Couple Force of Cross Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Crack Width - (Measured in Meter) - Crack Width describes the length of the crack in an element.
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 - Strain is simply the measure of how much an object is stretched or deformed.
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.

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)
Strain: 1.0001 --> No Conversion Required
Depth of Neutral Axis: 50 Millimeter --> 0.05 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_cr = C/(0.5*E_c*ε*x) --> 28/(0.5*157000*1.0001*0.05)

Evaluating ... ...

W_cr = 0.00713304465731771

STEP 3: Convert Result to Output's Unit

0.00713304465731771 Meter -->7.13304465731771 Millimeter (Check conversion here)

FINAL ANSWER

7.13304465731771 ≈ 7.133045 Millimeter <-- Crack Width

(Calculation completed in 00.020 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

Width of Section given Couple Force of Cross Section Formula

LaTeX Go

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

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. Not only does it demonstrate the ability of concrete to withstand deformation due to applied stress but also its stiffness.

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 Width of Section given Couple Force of Cross Section?

Width of Section given Couple Force of Cross Section calculator uses Crack Width = Couple Force/(0.5*Modulus of Elasticity of Concrete*Strain*Depth of Neutral Axis) to calculate the Crack Width, The Width of Section given Couple Force of Cross Section is defined as the measurement of length of the rectangular section. Crack Width is denoted by W_cr symbol.

How to calculate Width of Section given Couple Force of Cross Section using this online calculator? To use this online calculator for Width of Section given Couple Force of Cross Section, enter Couple Force (C), Modulus of Elasticity of Concrete (E_c), Strain (ε) & Depth of Neutral Axis (x) and hit the calculate button. Here is how the Width of Section given Couple Force of Cross Section calculation can be explained with given input values -> 5.1E+6 = 28/(0.5*157000*1.0001*0.05).

FAQ

What is Width of Section given Couple Force of Cross Section?

The Width of Section given Couple Force of Cross Section is defined as the measurement of length of the rectangular section and is represented as W_cr = C/(0.5*E_c*ε*x) or Crack Width = Couple Force/(0.5*Modulus of Elasticity of Concrete*Strain*Depth of Neutral Axis). 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, Strain is simply the measure of how much an object is stretched or deformed & Depth of Neutral Axis is defined as the distance from the top of the section to its neutral axis.

How to calculate Width of Section given Couple Force of Cross Section?

The Width of Section given Couple Force of Cross Section is defined as the measurement of length of the rectangular section is calculated using Crack Width = Couple Force/(0.5*Modulus of Elasticity of Concrete*Strain*Depth of Neutral Axis). To calculate Width of Section given Couple Force of Cross Section, you need Couple Force (C), Modulus of Elasticity of Concrete (E_c), Strain (ε) & Depth of Neutral Axis (x). With our tool, you need to enter the respective value for Couple Force, Modulus of Elasticity of Concrete, Strain & Depth of Neutral Axis 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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