Strain in Prestressed Steel given Tension Force Calculator

✖Tension Force is a pulling force transmitted axially from the member.ⓘ Tension Force [N_u]			+10% -10%
✖Area of Prestressing Steel is the total cross sectional area of tendons.ⓘ Area of Prestressing Steel [As]			+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 in Prestressed Steel given Tension Force [ε]

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Strain in Prestressed Steel given Tension Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Strain - Strain is simply the measure of how much an object is stretched or deformed.
Tension Force - (Measured in Newton) - Tension Force is a pulling force transmitted axially from the member.
Area of Prestressing Steel - (Measured in Square Meter) - Area of Prestressing Steel is the total cross sectional area of tendons.
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.

STEP 1: Convert Input(s) to Base Unit

Tension Force: 1000 Newton --> 1000 Newton No Conversion Required
Area of Prestressing Steel: 20.2 Square Millimeter --> 2.02E-05 Square Meter (Check conversion here)
Prestressed Young's Modulus: 38 Kilogram per Cubic Centimeter --> 38000000 Kilogram per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε = N_u/(As*E_p) --> 1000/(2.02E-05*38000000)

Evaluating ... ...

ε = 1.30276185513288

STEP 3: Convert Result to Output's Unit

1.30276185513288 --> No Conversion Required

FINAL ANSWER

1.30276185513288 ≈ 1.302762 <-- Strain

(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Warangal

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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

Strain in Prestressed Steel given Tension Force Formula

LaTeX Go

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

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 does Tension Force mean?

Tension Force (Ts) for a Prestressed Section is defined as the force that is transmitted through a rope, string or wire when pulled by forces acting from opposite sides. The tension force is directed over the length of the wire and pulls energy equally on the bodies at the ends.

How to Calculate Strain in Prestressed Steel given Tension Force?

Strain in Prestressed Steel given Tension Force calculator uses Strain = Tension Force/(Area of Prestressing Steel*Prestressed Young's Modulus) to calculate the Strain, The Strain in Prestressed Steel given Tension Force is defined as change in shape or size of body due to deforming force applied on it. Strain is strain at prestressing level. Strain is denoted by ε symbol.

How to calculate Strain in Prestressed Steel given Tension Force using this online calculator? To use this online calculator for Strain in Prestressed Steel given Tension Force, enter Tension Force (N_u), Area of Prestressing Steel (As) & Prestressed Young's Modulus (E_p) and hit the calculate button. Here is how the Strain in Prestressed Steel given Tension Force calculation can be explained with given input values -> 1.315789 = 1000/(2.02E-05*38000000).

FAQ

What is Strain in Prestressed Steel given Tension Force?

The Strain in Prestressed Steel given Tension Force is defined as change in shape or size of body due to deforming force applied on it. Strain is strain at prestressing level and is represented as ε = N_u/(As*E_p) or Strain = Tension Force/(Area of Prestressing Steel*Prestressed Young's Modulus). Tension Force is a pulling force transmitted axially from the member, Area of Prestressing Steel is the total cross sectional area of tendons & Prestressed Young's Modulus is in essence the stiffness of a material or how easily it is bended or stretched in prestressed members.

How to calculate Strain in Prestressed Steel given Tension Force?

The Strain in Prestressed Steel given Tension Force is defined as change in shape or size of body due to deforming force applied on it. Strain is strain at prestressing level is calculated using Strain = Tension Force/(Area of Prestressing Steel*Prestressed Young's Modulus). To calculate Strain in Prestressed Steel given Tension Force, you need Tension Force (N_u), Area of Prestressing Steel (As) & Prestressed Young's Modulus (E_p). With our tool, you need to enter the respective value for Tension Force, Area of Prestressing Steel & Prestressed Young's Modulus 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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