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Compression Force for Prestressed Section Formula

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

C c = As \cdot E p \cdot ε

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

Compression Force for Prestressed Section Example

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Here is how the Compression Force for Prestressed Section equation looks like with Values.

Here is how the Compression Force for Prestressed Section equation looks like with Units.

Here is how the Compression Force for Prestressed Section equation looks like.

767.6768 = 20.2 \cdot 38 \cdot 1.0001

767.6768N = 20.2mm² \cdot 38kg/cm³ \cdot 1.0001

767.6768 = 20.2 \cdot 38 \cdot 1.0001

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Compression Force for Prestressed Section Solution

Follow our step by step solution on how to calculate Compression Force for Prestressed Section?

FIRST Step Consider the formula

C c = As \cdot E p \cdot ε

Next Step Substitute values of Variables

∴

C c = 20.2mm² \cdot 38kg/cm³ \cdot 1.0001

Next Step Convert Units

∴

C c = 2E-5m² \cdot 3.8E+7kg/m³ \cdot 1.0001

Next Step Prepare to Evaluate

∴

C c = 2E-5 \cdot 3.8E+7 \cdot 1.0001

Next Step Evaluate

∴

C c = 767.67676N

LAST Step Rounding Answer

∴

C c = 767.6768N

Compression Force for Prestressed Section Formula Elements

Variables

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

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 Compression Force for Prestressed Section?

Compression Force for Prestressed Section evaluator uses Total Compression on Concrete = Area of Prestressing Steel*Prestressed Young's Modulus*Strain to evaluate the Total Compression on Concrete, The Compression Force for Prestressed Section is defined as force applied to induce initial stress, enhancing structural strength and load-bearing capacity. Total Compression on Concrete is denoted by C_c symbol.

How to evaluate Compression Force for Prestressed Section using this online evaluator? To use this online evaluator for Compression Force for Prestressed Section, enter Area of Prestressing Steel (As), Prestressed Young's Modulus (E_p) & Strain (ε) and hit the calculate button.

FAQs on Compression Force for Prestressed Section

What is the formula to find Compression Force for Prestressed Section?

The formula of Compression Force for Prestressed Section is expressed as Total Compression on Concrete = Area of Prestressing Steel*Prestressed Young's Modulus*Strain. Here is an example- 760.076 = 2.02E-05*38000000*1.0001.

How to calculate Compression Force for Prestressed Section?

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

Can the Compression Force for Prestressed Section be negative?

No, the Compression Force for Prestressed Section, measured in Force cannot be negative.

Which unit is used to measure Compression Force for Prestressed Section?

Compression Force for Prestressed Section is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Compression Force for Prestressed Section can be measured.

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Compression Force for Prestressed Section Formula

Compression Force for Prestressed Section Example

Compression Force for Prestressed Section Solution

Compression Force for Prestressed Section Formula Elements

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

How to Evaluate Compression Force for Prestressed Section?

FAQs on Compression Force for Prestressed Section

Variable Name