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Area of Prestressing Steel given Tension Force Formula

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

As = \frac{N u}{E p \cdot ε}

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

Area of Prestressing Steel given Tension Force Example

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Here is how the Area of Prestressing Steel given Tension Force equation looks like with Values.

Here is how the Area of Prestressing Steel given Tension Force equation looks like with Units.

Here is how the Area of Prestressing Steel given Tension Force equation looks like.

26.3132 = \frac{1000}{38 \cdot 1.0001}

26.3132mm² = \frac{1000N}{38kg/cm³ \cdot 1.0001}

26.3132 = \frac{1000}{38 \cdot 1.0001}

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Area of Prestressing Steel given Tension Force Solution

Follow our step by step solution on how to calculate Area of Prestressing Steel given Tension Force?

FIRST Step Consider the formula

As = \frac{N u}{E p \cdot ε}

Next Step Substitute values of Variables

∴

As = \frac{1000N}{38kg/cm³ \cdot 1.0001}

Next Step Convert Units

∴

As = \frac{1000N}{3.8E+7kg/m³ \cdot 1.0001}

Next Step Prepare to Evaluate

∴

As = \frac{1000}{3.8E+7 \cdot 1.0001}

Next Step Evaluate

∴

As = 2.63131581578684E-05m²

Next Step Convert to Output's Unit

∴

As = 26.3131581578684mm²

LAST Step Rounding Answer

∴

As = 26.3132mm²

Area of Prestressing Steel given Tension Force Formula Elements

Variables

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

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

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

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

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 Area of Prestressing Steel given Tension Force?

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

FAQs on Area of Prestressing Steel given Tension Force

What is the formula to find Area of Prestressing Steel given Tension Force?

The formula of Area of Prestressing Steel given Tension Force is expressed as Area of Prestressing Steel = Tension Force/(Prestressed Young's Modulus*Strain). Here is an example- 2.6E+7 = 1000/(38000000*1.0001).

How to calculate Area of Prestressing Steel given Tension Force?

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

Can the Area of Prestressing Steel given Tension Force be negative?

No, the Area of Prestressing Steel given Tension Force, measured in Area cannot be negative.

Which unit is used to measure Area of Prestressing Steel given Tension Force?

Area of Prestressing Steel given Tension Force is usually measured using the Square Millimeter[mm²] for Area. Square Meter[mm²], Square Kilometer[mm²], Square Centimeter[mm²] are the few other units in which Area of Prestressing Steel given Tension Force can be measured.

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Area of Prestressing Steel given Tension Force Formula

Area of Prestressing Steel given Tension Force Example

Area of Prestressing Steel given Tension Force Solution

Area of Prestressing Steel given Tension Force Formula Elements

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

How to Evaluate Area of Prestressing Steel given Tension Force?

FAQs on Area of Prestressing Steel given Tension Force

Variable Name