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Modulus of Elasticity of Prestressed Steel given Compression Force Formula

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

E p = \frac{C c}{As \cdot ε}

E_p - Prestressed Young's Modulus?C_c - Total Compression on Concrete?As - Area of Prestressing Steel?ε - Strain?

Modulus of Elasticity of Prestressed Steel given Compression Force Example

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With units

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Here is how the Modulus of Elasticity of Prestressed Steel given Compression Force equation looks like with Values.

Here is how the Modulus of Elasticity of Prestressed Steel given Compression Force equation looks like with Units.

Here is how the Modulus of Elasticity of Prestressed Steel given Compression Force equation looks like.

37.125 = \frac{750}{20.2 \cdot 1.0001}

37.125kg/cm³ = \frac{750N}{20.2mm² \cdot 1.0001}

37.125 = \frac{750}{20.2 \cdot 1.0001}

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Modulus of Elasticity of Prestressed Steel given Compression Force Solution

Follow our step by step solution on how to calculate Modulus of Elasticity of Prestressed Steel given Compression Force?

FIRST Step Consider the formula

E p = \frac{C c}{As \cdot ε}

Next Step Substitute values of Variables

∴

E p = \frac{750N}{20.2mm² \cdot 1.0001}

Next Step Convert Units

∴

E p = \frac{750N}{2E-5m² \cdot 1.0001}

Next Step Prepare to Evaluate

∴

E p = \frac{750}{2E-5 \cdot 1.0001}

Next Step Evaluate

∴

E p = 37125000.37125kg/m³

Next Step Convert to Output's Unit

∴

E p = 37.12500037125kg/cm³

LAST Step Rounding Answer

∴

E p = 37.125kg/cm³

Modulus of Elasticity of Prestressed Steel given Compression Force Formula Elements

Variables

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

Total Compression on Concrete

Total Compression on Concrete is the total compressive force acting on the section.

Symbol: C_c

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Total Compression on Concrete

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

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 Modulus of Elasticity of Prestressed Steel given Compression Force?

Modulus of Elasticity of Prestressed Steel given Compression Force evaluator uses Prestressed Young's Modulus = Total Compression on Concrete/(Area of Prestressing Steel*Strain) to evaluate the Prestressed Young's Modulus, The Modulus of Elasticity of Prestressed Steel given Compression Force is defined as the measure of elasticity, equal to ratio of stress acting on substance to strain produced. Prestressed Young's Modulus is denoted by E_p symbol.

How to evaluate Modulus of Elasticity of Prestressed Steel given Compression Force using this online evaluator? To use this online evaluator for Modulus of Elasticity of Prestressed Steel given Compression Force, enter Total Compression on Concrete (C_c), Area of Prestressing Steel (As) & Strain (ε) and hit the calculate button.

FAQs on Modulus of Elasticity of Prestressed Steel given Compression Force

What is the formula to find Modulus of Elasticity of Prestressed Steel given Compression Force?

The formula of Modulus of Elasticity of Prestressed Steel given Compression Force is expressed as Prestressed Young's Modulus = Total Compression on Concrete/(Area of Prestressing Steel*Strain). Here is an example- 3.7E-5 = 750/(2.02E-05*1.0001).

How to calculate Modulus of Elasticity of Prestressed Steel given Compression Force?

With Total Compression on Concrete (C_c), Area of Prestressing Steel (As) & Strain (ε) we can find Modulus of Elasticity of Prestressed Steel given Compression Force using the formula - Prestressed Young's Modulus = Total Compression on Concrete/(Area of Prestressing Steel*Strain).

Can the Modulus of Elasticity of Prestressed Steel given Compression Force be negative?

No, the Modulus of Elasticity of Prestressed Steel given Compression Force, measured in Density cannot be negative.

Which unit is used to measure Modulus of Elasticity of Prestressed Steel given Compression Force?

Modulus of Elasticity of Prestressed Steel given Compression Force is usually measured using the Kilogram per Cubic Centimeter[kg/cm³] for Density. Kilogram per Cubic Meter[kg/cm³], Gram per Cubic Meter[kg/cm³], Gram per Cubic Centimeter[kg/cm³] are the few other units in which Modulus of Elasticity of Prestressed Steel given Compression Force can be measured.

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Modulus of Elasticity of Prestressed Steel given Compression Force Formula

Modulus of Elasticity of Prestressed Steel given Compression Force Example

Modulus of Elasticity of Prestressed Steel given Compression Force Solution

Modulus of Elasticity of Prestressed Steel given Compression Force Formula Elements

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

How to Evaluate Modulus of Elasticity of Prestressed Steel given Compression Force?

FAQs on Modulus of Elasticity of Prestressed Steel given Compression Force

Variable Name