Area of Prestressing Steel given Tension Force Calculator

✖Tension Force is a pulling force transmitted axially from the member.ⓘ Tension Force [N_u]			+10% -10%
✖Prestressed Young's Modulus is in essence the stiffness of a material or how easily it is bended or stretched in prestressed members.ⓘ Prestressed Young's Modulus [E_p]			+10% -10%
✖Strain is simply the measure of how much an object is stretched or deformed.ⓘ Strain [ε]			+10% -10%

✖Area of Prestressing Steel is the total cross sectional area of tendons.ⓘ Area of Prestressing Steel given Tension Force [As]

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Formula

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Area of Prestressing Steel given Tension Force

Formula

`"As" = "N"_{"u"}/("E"_{"p"}*"ε")`

Example

`"26.31316mm²"= "1000N"/("38kg/cm³"*"1.0001")`

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Download Crack Width and Deflection of Prestress Concrete Members Formulas PDF

Area of Prestressing Steel given Tension Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Prestressing Steel = Tension Force/(Prestressed Young's Modulus*Strain)
As = N_u/(E_p*ε)
This formula uses 4 Variables

Variables Used

Area of Prestressing Steel - (Measured in Square Meter) - Area of Prestressing Steel is the total cross sectional area of tendons.
Tension Force - (Measured in Newton) - Tension Force is a pulling force transmitted axially from the member.
Prestressed Young's Modulus - (Measured in Kilogram per Cubic Meter) - Prestressed Young's Modulus is in essence the stiffness of a material or how easily it is bended or stretched in prestressed members.
Strain - Strain is simply the measure of how much an object is stretched or deformed.

STEP 1: Convert Input(s) to Base Unit

Tension Force: 1000 Newton --> 1000 Newton No Conversion Required
Prestressed Young's Modulus: 38 Kilogram per Cubic Centimeter --> 38000000 Kilogram per Cubic Meter (Check conversion here)
Strain: 1.0001 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

As = N_u/(E_p*ε) --> 1000/(38000000*1.0001)

Evaluating ... ...

As = 2.63131581578684E-05

STEP 3: Convert Result to Output's Unit

2.63131581578684E-05 Square Meter -->26.3131581578684 Square Millimeter (Check conversion here)

FINAL ANSWER

26.3131581578684 ≈ 26.31316 Square Millimeter <-- Area of Prestressing Steel

(Calculation completed in 00.004 seconds)

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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)

Area of Prestressing Steel given Tension Force Formula

Area of Prestressing Steel = Tension Force/(Prestressed Young's Modulus*Strain)
As = N_u/(E_p*ε)

What does Young's 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.
Young's modulus is a measure of the stiffness of an elastic material, and it is defined as the ratio of stress to strain. Rocks with low Young's modulus tend to be ductile and rocks with high Young's modulus tend to be brittle.

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 Area of Prestressing Steel given Tension Force?

Area of Prestressing Steel given Tension Force calculator uses Area of Prestressing Steel = Tension Force/(Prestressed Young's Modulus*Strain) to calculate the Area of Prestressing Steel, The Area of Prestressing Steel given Tension Force is defined as area of steel when prestress is initiated. Strain mentioned is about strain at level of prestressed steel. Area of Prestressing Steel is denoted by As symbol.

How to calculate Area of Prestressing Steel given Tension Force using this online calculator? To use this online calculator for Area of Prestressing Steel given Tension Force, enter Tension Force (N_u), Prestressed Young's Modulus (E_p) & Strain (ε) and hit the calculate button. Here is how the Area of Prestressing Steel given Tension Force calculation can be explained with given input values -> 2.6E+7 = 1000/(38000000*1.0001).

FAQ

What is Area of Prestressing Steel given Tension Force?

The Area of Prestressing Steel given Tension Force is defined as area of steel when prestress is initiated. Strain mentioned is about strain at level of prestressed steel and is represented as As = N_u/(E_p*ε) or Area of Prestressing Steel = Tension Force/(Prestressed Young's Modulus*Strain). Tension Force is a pulling force transmitted axially from the member, Prestressed Young's Modulus is in essence the stiffness of a material or how easily it is bended or stretched in prestressed members & Strain is simply the measure of how much an object is stretched or deformed.

How to calculate Area of Prestressing Steel given Tension Force?

The Area of Prestressing Steel given Tension Force is defined as area of steel when prestress is initiated. Strain mentioned is about strain at level of prestressed steel is calculated using Area of Prestressing Steel = Tension Force/(Prestressed Young's Modulus*Strain). To calculate Area of Prestressing Steel given Tension Force, you need Tension Force (N_u), Prestressed Young's Modulus (E_p) & Strain (ε). With our tool, you need to enter the respective value for Tension Force, Prestressed Young's Modulus & Strain 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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