Depth of Neutral Axis given Couple Force of Cross Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
Depth of Neutral Axis = Couple Force/(0.5*Modulus of Elasticity of Concrete*Strain in Concrete*Crack Width)
x = C/(0.5*Ec*εc*Wcr)
This formula uses 5 Variables
Variables Used
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.
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.
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)
Strain in Concrete: 1.69 --> No Conversion Required
Crack Width: 0.49 Millimeter --> 0.00049 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
x = C/(0.5*Ecc*Wcr) --> 28/(0.5*157000*1.69*0.00049)
Evaluating ... ...
x = 0.430730465027378
STEP 3: Convert Result to Output's Unit
0.430730465027378 Meter -->430.730465027378 Millimeter (Check conversion ​here)
FINAL ANSWER
430.730465027378 430.7305 Millimeter <-- Depth of Neutral Axis
(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

Depth of Neutral Axis given Couple Force of Cross Section Formula

​LaTeX ​Go
Depth of Neutral Axis = Couple Force/(0.5*Modulus of Elasticity of Concrete*Strain in Concrete*Crack Width)
x = C/(0.5*Ec*εc*Wcr)

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.

What are Prestressed Members?

In a prestressed concrete member, the internal stresses are introduced in a planned manner so that the stresses resulting from the superimposed loads are counteracted to the desired degree.
The principle behind prestressed concrete is that compressive stresses induced by high-strength steel tendons in a concrete member before loads are applied will balance the tensile stresses imposed in the member during service.

How to Calculate Depth of Neutral Axis given Couple Force of Cross Section?

Depth of Neutral Axis given Couple Force of Cross Section calculator uses Depth of Neutral Axis = Couple Force/(0.5*Modulus of Elasticity of Concrete*Strain in Concrete*Crack Width) to calculate the Depth of Neutral Axis, The Depth of Neutral Axis given Couple Force of Cross Section is defined as the axis through beam where stress is zero, that is there is neither compression nor tension. Depth of Neutral Axis is denoted by x symbol.

How to calculate Depth of Neutral Axis given Couple Force of Cross Section using this online calculator? To use this online calculator for Depth of Neutral Axis given Couple Force of Cross Section, enter Couple Force (C), Modulus of Elasticity of Concrete (Ec), Strain in Concrete c) & Crack Width (Wcr) and hit the calculate button. Here is how the Depth of Neutral Axis given Couple Force of Cross Section calculation can be explained with given input values -> 3.1E+8 = 28/(0.5*157000*1.69*0.00049).

FAQ

What is Depth of Neutral Axis given Couple Force of Cross Section?
The Depth of Neutral Axis given Couple Force of Cross Section is defined as the axis through beam where stress is zero, that is there is neither compression nor tension and is represented as x = C/(0.5*Ecc*Wcr) or Depth of Neutral Axis = Couple Force/(0.5*Modulus of Elasticity of Concrete*Strain in Concrete*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, 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 & Crack Width describes the length of the crack in an element.
How to calculate Depth of Neutral Axis given Couple Force of Cross Section?
The Depth of Neutral Axis given Couple Force of Cross Section is defined as the axis through beam where stress is zero, that is there is neither compression nor tension is calculated using Depth of Neutral Axis = Couple Force/(0.5*Modulus of Elasticity of Concrete*Strain in Concrete*Crack Width). To calculate Depth of Neutral Axis given Couple Force of Cross Section, you need Couple Force (C), Modulus of Elasticity of Concrete (Ec), Strain in Concrete c) & Crack Width (Wcr). With our tool, you need to enter the respective value for Couple Force, Modulus of Elasticity of Concrete, Strain in Concrete & 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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