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Strain in Prestressed Steel given Tension Force Formula

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Strain is simply the measure of how much an object is stretched or deformed. Check FAQs

ε = \frac{N u}{As \cdot E p}

ε - Strain?N_u - Tension Force?As - Area of Prestressing Steel?E_p - Prestressed Young's Modulus?

Strain in Prestressed Steel given Tension Force Example

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Here is how the Strain in Prestressed Steel given Tension Force equation looks like with Values.

Here is how the Strain in Prestressed Steel given Tension Force equation looks like with Units.

Here is how the Strain in Prestressed Steel given Tension Force equation looks like.

1.3028 = \frac{1000}{20.2 \cdot 38}

1.3028 = \frac{1000N}{20.2mm² \cdot 38kg/cm³}

1.3028 = \frac{1000}{20.2 \cdot 38}

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Strain in Prestressed Steel given Tension Force Solution

Follow our step by step solution on how to calculate Strain in Prestressed Steel given Tension Force?

FIRST Step Consider the formula

ε = \frac{N u}{As \cdot E p}

Next Step Substitute values of Variables

∴

ε = \frac{1000N}{20.2mm² \cdot 38kg/cm³}

Next Step Convert Units

∴

ε = \frac{1000N}{2E-5m² \cdot 3.8E+7kg/m³}

Next Step Prepare to Evaluate

∴

ε = \frac{1000}{2E-5 \cdot 3.8E+7}

Next Step Evaluate

∴

ε = 1.30276185513288

LAST Step Rounding Answer

∴

ε = 1.3028

Strain in Prestressed Steel given Tension Force Formula Elements

Variables

Strain

Strain is simply the measure of how much an object is stretched or deformed.

Symbol: ε

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Strain

Tension Force

Tension Force is a pulling force transmitted axially from the member.

Symbol: N_u

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Tension Force

Area of Prestressing Steel

Area of Prestressing Steel is the total cross sectional area of tendons.

Symbol: As

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Prestressing Steel

Prestressed Young's Modulus

Prestressed Young's Modulus is in essence the stiffness of a material or how easily it is bended or stretched in prestressed members.

Symbol: E_p

Measurement: DensityUnit: kg/cm³

Note: Value should be greater than 0.

Formulas to find Prestressed Young's Modulus

Other formulas in Evaluation of Average Strain and Neutral Axis Depth category

Go Average Strain under Tension

ε m = ε 1 - \frac{W cr \cdot (h Crack - x) \cdot (D CC - x)}{3 \cdot E s \cdot A s \cdot (L eff - x)}

Go Strain at Selected Level given Average Strain under Tension

ε 1 = ε m + \frac{W cr \cdot (h Crack - x) \cdot (D CC - x)}{3 \cdot E s \cdot A s \cdot (L eff - x)}

Go Height of Crack Width at Soffit given Average Strain

h Crack = (\frac{(ε 1 - ε m) \cdot (3 \cdot E s \cdot A s \cdot (d - x))}{W cr \cdot (D CC - x)}) + x

Go Couple Force of Cross Section

C = 0.5 \cdot E c \cdot ε c \cdot x \cdot W cr

How to Evaluate Strain in Prestressed Steel given Tension Force?

Strain in Prestressed Steel given Tension Force evaluator uses Strain = Tension Force/(Area of Prestressing Steel*Prestressed Young's Modulus) to evaluate 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 evaluate Strain in Prestressed Steel given Tension Force using this online evaluator? To use this online evaluator 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.

FAQs on Strain in Prestressed Steel given Tension Force

What is the formula to find Strain in Prestressed Steel given Tension Force?

The formula of Strain in Prestressed Steel given Tension Force is expressed as Strain = Tension Force/(Area of Prestressing Steel*Prestressed Young's Modulus). Here is an example- 1.315789 = 1000/(2.02E-05*38000000).

How to calculate Strain in Prestressed Steel given Tension Force?

With Tension Force (N_u), Area of Prestressing Steel (As) & Prestressed Young's Modulus (E_p) we can find Strain in Prestressed Steel given Tension Force using the formula - Strain = Tension Force/(Area of Prestressing Steel*Prestressed Young's Modulus).

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Strain in Prestressed Steel given Tension Force Formula

Strain in Prestressed Steel given Tension Force Example

Strain in Prestressed Steel given Tension Force Solution

Strain in Prestressed Steel given Tension Force Formula Elements

Other formulas in Evaluation of Average Strain and Neutral Axis Depth category

How to Evaluate Strain in Prestressed Steel given Tension Force?

FAQs on Strain in Prestressed Steel given Tension Force

Variable Name