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Initial Prestress given Prestress after Immediate Loss Formula

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Initial Prestress Force is the force which is applied to the tendons by the jack. Check FAQs

P i = P o \cdot \frac{A Pretension}{A Pre tension}

P_i - Initial Prestress Force?P_o - Prestressing Force after Loss?A_Pretension - Transformed Section Area of Prestress?A_{Pre tension} - Pre-Tensioned Area of Concrete?

Initial Prestress given Prestress after Immediate Loss Example

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Here is how the Initial Prestress given Prestress after Immediate Loss equation looks like with Values.

Here is how the Initial Prestress given Prestress after Immediate Loss equation looks like with Units.

Here is how the Initial Prestress given Prestress after Immediate Loss equation looks like.

200 = 96000 \cdot \frac{0.025}{12}

200kN = 96000kN \cdot \frac{0.025mm²}{12mm²}

200 = 96000 \cdot \frac{0.025}{12}

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Initial Prestress given Prestress after Immediate Loss Solution

Follow our step by step solution on how to calculate Initial Prestress given Prestress after Immediate Loss?

FIRST Step Consider the formula

P i = P o \cdot \frac{A Pretension}{A Pre tension}

Next Step Substitute values of Variables

∴

P i = 96000kN \cdot \frac{0.025mm²}{12mm²}

Next Step Prepare to Evaluate

∴

P i = 96000 \cdot \frac{0.025}{12}

Next Step Evaluate

∴

P i = 200000N

LAST Step Convert to Output's Unit

∴

P i = 200kN

Initial Prestress given Prestress after Immediate Loss Formula Elements

Variables

Initial Prestress Force

Initial Prestress Force is the force which is applied to the tendons by the jack.

Symbol: P_i

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Initial Prestress Force

Prestressing Force after Loss

Prestressing Force after Loss is the prestressing force after immediate losses. It is the reduced value of prestressing force after elastic shortening, anchorage slip and loss due to friction.

Symbol: P_o

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Prestressing Force after Loss

Transformed Section Area of Prestress

Transformed Section Area of Prestress is the area of the member when steel is substituted by an equivalent area of concrete.

Symbol: A_Pretension

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Transformed Section Area of Prestress

Pre-Tensioned Area of Concrete

Pre-Tensioned Area of Concrete is a construction method where steel tendons are stressed before pouring concrete, enhancing structural strength.

Symbol: A_{Pre tension}

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Pre-Tensioned Area of Concrete

Other formulas in Pre Tensioned Members category

Go Prestress Drop given Pressure after Immediate Loss

Δf Drop = (\frac{P o}{A Pre tension}) \cdot m Elastic

Go Modular Ratio given Prestress after Immediate Loss

m Elastic = Δf Drop \cdot \frac{A Pre tension}{P o}

Go Prestressing Force after Immediate Loss given Initial Prestress

P o = P i \cdot \frac{A Pre tension}{A Pretension}

Go Initial Strain in Steel for Known Strain due to Elastic Shortening

ε pi = ε c + ε po

How to Evaluate Initial Prestress given Prestress after Immediate Loss?

Initial Prestress given Prestress after Immediate Loss evaluator uses Initial Prestress Force = Prestressing Force after Loss*Transformed Section Area of Prestress/Pre-Tensioned Area of Concrete to evaluate the Initial Prestress Force, The Initial Prestress given Prestress after Immediate Loss is defined as the initial prestressing force given at first stage of loading which is applied to tendons. Initial Prestress Force is denoted by P_i symbol.

How to evaluate Initial Prestress given Prestress after Immediate Loss using this online evaluator? To use this online evaluator for Initial Prestress given Prestress after Immediate Loss, enter Prestressing Force after Loss (P_o), Transformed Section Area of Prestress (A_Pretension) & Pre-Tensioned Area of Concrete (A_{Pre tension}) and hit the calculate button.

FAQs on Initial Prestress given Prestress after Immediate Loss

What is the formula to find Initial Prestress given Prestress after Immediate Loss?

The formula of Initial Prestress given Prestress after Immediate Loss is expressed as Initial Prestress Force = Prestressing Force after Loss*Transformed Section Area of Prestress/Pre-Tensioned Area of Concrete. Here is an example- 0.2 = 96000000*2.5E-08/1.2E-05.

How to calculate Initial Prestress given Prestress after Immediate Loss?

With Prestressing Force after Loss (P_o), Transformed Section Area of Prestress (A_Pretension) & Pre-Tensioned Area of Concrete (A_{Pre tension}) we can find Initial Prestress given Prestress after Immediate Loss using the formula - Initial Prestress Force = Prestressing Force after Loss*Transformed Section Area of Prestress/Pre-Tensioned Area of Concrete.

Can the Initial Prestress given Prestress after Immediate Loss be negative?

No, the Initial Prestress given Prestress after Immediate Loss, measured in Force cannot be negative.

Which unit is used to measure Initial Prestress given Prestress after Immediate Loss?

Initial Prestress given Prestress after Immediate Loss is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Initial Prestress given Prestress after Immediate Loss can be measured.

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Initial Prestress given Prestress after Immediate Loss Formula

Initial Prestress given Prestress after Immediate Loss Example

Initial Prestress given Prestress after Immediate Loss Solution

Initial Prestress given Prestress after Immediate Loss Formula Elements

Other formulas in Pre Tensioned Members category

How to Evaluate Initial Prestress given Prestress after Immediate Loss?

FAQs on Initial Prestress given Prestress after Immediate Loss

Variable Name