Strain in Longitudinal Reinforcement given Tension Force Calculator

✖Tension Force is a pulling force transmitted axially from the member.ⓘ Tension Force [N_u]			+10% -10%
✖Area of Reinforcement is the area of steel, used in a prestressed section, which is not prestressed or prestressing force is not applied.ⓘ Area of Reinforcement [A_s]			+10% -10%
✖Modulus of Elasticity of Steel is a property that measures the resistance of steel towards deformation under load. The value of Young's modulus given here is in MPA by default.ⓘ Modulus of Elasticity of Steel [Es]			+10% -10%

✖Strain in Longitudinal Reinforcement is represented as the induced strain in the reinforcement in the vertical direction.ⓘ Strain in Longitudinal Reinforcement given Tension Force [εs]

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Formula

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Strain in Longitudinal Reinforcement given Tension Force

Formula

`"εs" = "N"_{"u"}/("A"_{"s"}*"Es")`

Example

`"10"="1000N"/("500mm²"*"200000")`

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Strain in Longitudinal Reinforcement given Tension Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Strain in Longitudinal Reinforcement = Tension Force/(Area of Reinforcement*Modulus of Elasticity of Steel)
εs = N_u/(A_s*Es)
This formula uses 4 Variables

Variables Used

Strain in Longitudinal Reinforcement - Strain in Longitudinal Reinforcement is represented as the induced strain in the reinforcement in the vertical direction.
Tension Force - (Measured in Newton) - Tension Force is a pulling force transmitted axially from the member.
Area of Reinforcement - (Measured in Square Meter) - Area of Reinforcement is the area of steel, used in a prestressed section, which is not prestressed or prestressing force is not applied.
Modulus of Elasticity of Steel - Modulus of Elasticity of Steel is a property that measures the resistance of steel towards deformation under load. The value of Young's modulus given here is in MPA by default.

STEP 1: Convert Input(s) to Base Unit

Tension Force: 1000 Newton --> 1000 Newton No Conversion Required
Area of Reinforcement: 500 Square Millimeter --> 0.0005 Square Meter (Check conversion here)
Modulus of Elasticity of Steel: 200000 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

εs = N_u/(A_s*Es) --> 1000/(0.0005*200000)

Evaluating ... ...

εs = 10

STEP 3: Convert Result to Output's Unit

10 --> No Conversion Required

FINAL ANSWER

10 <-- Strain in Longitudinal Reinforcement

(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 in Longitudinal Reinforcement given Tension Force

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Created by M Naveen

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

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))

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))

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)

Strain in Longitudinal Reinforcement given Tension Force Formula

Strain in Longitudinal Reinforcement = Tension Force/(Area of Reinforcement*Modulus of Elasticity of Steel)
εs = N_u/(A_s*Es)

What does Youngs Modulus mean?

Youngs modulus is a a measure of elasticity, equal to the ratio of the stress acting on a substance to the strain produced. The coefficient of proportionality is Young's modulus. The higher the modulus, the more stress is needed to create the same amount of strain; an idealized rigid body would have an infinite Young's modulus. Conversely, a very soft material such as a fluid, would deform without force, and would have zero Young's modulus. Rocks with low Young's modulus tend to be ductile and rocks with high Young's modulus tend to be brittle.

What is Longitudinal Reinforcement?

The main purpose of the longitudinal reinforcement (also called main reinforcement) is the absorption of bending tensile stresses in the longitudinal direction of the main support direction of the structural component. The member depth and the longitudinal reinforcement details influence the shear capacity of members without shear reinforcement.

How to Calculate Strain in Longitudinal Reinforcement given Tension Force?

Strain in Longitudinal Reinforcement given Tension Force calculator uses Strain in Longitudinal Reinforcement = Tension Force/(Area of Reinforcement*Modulus of Elasticity of Steel) to calculate the Strain in Longitudinal Reinforcement, The Strain in Longitudinal Reinforcement given Tension Force is defined as ratio of change in length of material due to applied force to original length. Strain in Longitudinal Reinforcement is denoted by εs symbol.

How to calculate Strain in Longitudinal Reinforcement given Tension Force using this online calculator? To use this online calculator for Strain in Longitudinal Reinforcement given Tension Force, enter Tension Force (N_u), Area of Reinforcement (A_s) & Modulus of Elasticity of Steel (Es) and hit the calculate button. Here is how the Strain in Longitudinal Reinforcement given Tension Force calculation can be explained with given input values -> 0.05 = 1000/(0.0005*200000).

FAQ

What is Strain in Longitudinal Reinforcement given Tension Force?

The Strain in Longitudinal Reinforcement given Tension Force is defined as ratio of change in length of material due to applied force to original length and is represented as εs = N_u/(A_s*Es) or Strain in Longitudinal Reinforcement = Tension Force/(Area of Reinforcement*Modulus of Elasticity of Steel). Tension Force is a pulling force transmitted axially from the member, Area of Reinforcement is the area of steel, used in a prestressed section, which is not prestressed or prestressing force is not applied & Modulus of Elasticity of Steel is a property that measures the resistance of steel towards deformation under load. The value of Young's modulus given here is in MPA by default.

How to calculate Strain in Longitudinal Reinforcement given Tension Force?

The Strain in Longitudinal Reinforcement given Tension Force is defined as ratio of change in length of material due to applied force to original length is calculated using Strain in Longitudinal Reinforcement = Tension Force/(Area of Reinforcement*Modulus of Elasticity of Steel). To calculate Strain in Longitudinal Reinforcement given Tension Force, you need Tension Force (N_u), Area of Reinforcement (A_s) & Modulus of Elasticity of Steel (Es). With our tool, you need to enter the respective value for Tension Force, Area of Reinforcement & Modulus of Elasticity of Steel 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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