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Drop in Prestress is the drop in applied prestress force due to strain in tendons. Check FAQs
ΔfDrop=PimElasticAPretension
ΔfDrop - Drop in Prestress?Pi - Initial Prestress Force?mElastic - Modular Ratio for Elastic Shortening?APretension - Transformed Section Area of Prestress?

Prestress Drop given Initial Prestress Force Example

With values
With units
Only example

Here is how the Prestress Drop given Initial Prestress Force equation looks like with Values.

Here is how the Prestress Drop given Initial Prestress Force equation looks like with Units.

Here is how the Prestress Drop given Initial Prestress Force equation looks like.

0.0104Edit=435Edit0.6Edit0.025Edit
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Prestress Drop given Initial Prestress Force Solution

Follow our step by step solution on how to calculate Prestress Drop given Initial Prestress Force?

FIRST Step Consider the formula
ΔfDrop=PimElasticAPretension
Next Step Substitute values of Variables
ΔfDrop=435kN0.60.025mm²
Next Step Prepare to Evaluate
ΔfDrop=4350.60.025
Next Step Evaluate
ΔfDrop=10440Pa
Next Step Convert to Output's Unit
ΔfDrop=0.01044MPa
LAST Step Rounding Answer
ΔfDrop=0.0104MPa

Prestress Drop given Initial Prestress Force Formula Elements

Variables
Drop in Prestress
Drop in Prestress is the drop in applied prestress force due to strain in tendons.
Symbol: ΔfDrop
Measurement: PressureUnit: MPa
Note: Value should be greater than 0.
Initial Prestress Force
Initial Prestress Force is the force which is applied to the tendons by the jack.
Symbol: Pi
Measurement: ForceUnit: kN
Note: Value should be greater than 0.
Modular Ratio for Elastic Shortening
Modular Ratio for Elastic Shortening is the ratio of the elastic modulus of a particular material in a cross-section to the elastic modulus of the “base” or the reference material.
Symbol: mElastic
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
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: APretension
Measurement: AreaUnit: mm²
Note: Value should be greater than 0.

Other Formulas to find Drop in Prestress

​Go Prestress Drop given Pressure after Immediate Loss
ΔfDrop=(PoAPre tension)mElastic

Other formulas in Pre Tensioned Members category

​Go Modular Ratio given Prestress after Immediate Loss
mElastic=ΔfDropAPre tensionPo
​Go Prestressing Force after Immediate Loss given Initial Prestress
Po=PiAPre tensionAPretension
​Go Initial Prestress given Prestress after Immediate Loss
Pi=PoAPretensionAPre tension
​Go Initial Strain in Steel for Known Strain due to Elastic Shortening
εpi=εc+εpo

How to Evaluate Prestress Drop given Initial Prestress Force?

Prestress Drop given Initial Prestress Force evaluator uses Drop in Prestress = Initial Prestress Force*Modular Ratio for Elastic Shortening/Transformed Section Area of Prestress to evaluate the Drop in Prestress, The Prestress Drop given Initial Prestress Force is defined as decrease in prestress on tendons due to change in strain. Drop in Prestress is denoted by ΔfDrop symbol.

How to evaluate Prestress Drop given Initial Prestress Force using this online evaluator? To use this online evaluator for Prestress Drop given Initial Prestress Force, enter Initial Prestress Force (Pi), Modular Ratio for Elastic Shortening (mElastic) & Transformed Section Area of Prestress (APretension) and hit the calculate button.

FAQs on Prestress Drop given Initial Prestress Force

What is the formula to find Prestress Drop given Initial Prestress Force?
The formula of Prestress Drop given Initial Prestress Force is expressed as Drop in Prestress = Initial Prestress Force*Modular Ratio for Elastic Shortening/Transformed Section Area of Prestress. Here is an example- 4.8E-9 = 435000*0.6/2.5E-08.
How to calculate Prestress Drop given Initial Prestress Force?
With Initial Prestress Force (Pi), Modular Ratio for Elastic Shortening (mElastic) & Transformed Section Area of Prestress (APretension) we can find Prestress Drop given Initial Prestress Force using the formula - Drop in Prestress = Initial Prestress Force*Modular Ratio for Elastic Shortening/Transformed Section Area of Prestress.
What are the other ways to Calculate Drop in Prestress?
Here are the different ways to Calculate Drop in Prestress-
  • Drop in Prestress=(Prestressing Force after Loss/Pre-Tensioned Area of Concrete)*Modular Ratio for Elastic ShorteningOpenImg
Can the Prestress Drop given Initial Prestress Force be negative?
No, the Prestress Drop given Initial Prestress Force, measured in Pressure cannot be negative.
Which unit is used to measure Prestress Drop given Initial Prestress Force?
Prestress Drop given Initial Prestress Force is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Prestress Drop given Initial Prestress Force can be measured.
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