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Prestress Drop is the drop in applied prestress force due to strain in tendons. Check FAQs
Δfp=mElasticfconcrete
Δfp - Prestress Drop?mElastic - Modular Ratio for Elastic Shortening?fconcrete - Stress in Concrete Section?

Prestress Drop given Modular Ratio Example

With values
With units
Only example

Here is how the Prestress Drop given Modular Ratio equation looks like with Values.

Here is how the Prestress Drop given Modular Ratio equation looks like with Units.

Here is how the Prestress Drop given Modular Ratio equation looks like.

9.96Edit=0.6Edit16.6Edit
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Prestress Drop given Modular Ratio Solution

Follow our step by step solution on how to calculate Prestress Drop given Modular Ratio?

FIRST Step Consider the formula
Δfp=mElasticfconcrete
Next Step Substitute values of Variables
Δfp=0.616.6MPa
Next Step Prepare to Evaluate
Δfp=0.616.6
Next Step Evaluate
Δfp=9960000Pa
LAST Step Convert to Output's Unit
Δfp=9.96MPa

Prestress Drop given Modular Ratio Formula Elements

Variables
Prestress Drop
Prestress Drop is the drop in applied prestress force due to strain in tendons.
Symbol: Δfp
Measurement: PressureUnit: MPa
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.
Stress in Concrete Section
Stress in Concrete Section is the force per unit area of the concrete section considered.
Symbol: fconcrete
Measurement: PressureUnit: MPa
Note: Value should be greater than 0.

Other Formulas to find Prestress Drop

​Go Prestress Drop
Δfp=EsΔεp
​Go Prestress Drop given Stress in concrete at Same Level due to Prestressing Force
Δfp=EsfconcreteEconcrete
​Go Prestress Drop when Two parabolic Tendons are Incorporated
Δfp=Esεc
​Go Prestress Drop given Strain due to Bending and Compression in Two Parabolic Tendons
Δfp=Es(εc1+εc2)

Other formulas in Post Tensioned Members category

​Go Area of Concrete Section given Prestress Drop
Ac=mElasticPBΔfp
​Go Stress in Concrete given Prestress Drop
fconcrete=ΔfpmElastic
​Go Average Stress for Parabolic Tendons
fc,avg=fc1+23(fc2-fc1)
​Go Component of Strain at Level of First Tendon due to Bending
εc2=ΔLL

How to Evaluate Prestress Drop given Modular Ratio?

Prestress Drop given Modular Ratio evaluator uses Prestress Drop = Modular Ratio for Elastic Shortening*Stress in Concrete Section to evaluate the Prestress Drop, The Prestress Drop given Modular Ratio is defined as the reduction in initial prestress due to strain differences between prestressed and non-prestressed sections, considering modular ratio. Prestress Drop is denoted by Δfp symbol.

How to evaluate Prestress Drop given Modular Ratio using this online evaluator? To use this online evaluator for Prestress Drop given Modular Ratio, enter Modular Ratio for Elastic Shortening (mElastic) & Stress in Concrete Section (fconcrete) and hit the calculate button.

FAQs on Prestress Drop given Modular Ratio

What is the formula to find Prestress Drop given Modular Ratio?
The formula of Prestress Drop given Modular Ratio is expressed as Prestress Drop = Modular Ratio for Elastic Shortening*Stress in Concrete Section. Here is an example- 9E-7 = 0.6*16600000.
How to calculate Prestress Drop given Modular Ratio?
With Modular Ratio for Elastic Shortening (mElastic) & Stress in Concrete Section (fconcrete) we can find Prestress Drop given Modular Ratio using the formula - Prestress Drop = Modular Ratio for Elastic Shortening*Stress in Concrete Section.
What are the other ways to Calculate Prestress Drop?
Here are the different ways to Calculate Prestress Drop-
  • Prestress Drop=Modulus of Elasticity of Steel Reinforcement*Change in StrainOpenImg
  • Prestress Drop=Modulus of Elasticity of Steel Reinforcement*Stress in Concrete Section/Modulus of Elasticity ConcreteOpenImg
  • Prestress Drop=Modulus of Elasticity of Steel Reinforcement*Concrete StrainOpenImg
Can the Prestress Drop given Modular Ratio be negative?
No, the Prestress Drop given Modular Ratio, measured in Pressure cannot be negative.
Which unit is used to measure Prestress Drop given Modular Ratio?
Prestress Drop given Modular Ratio 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 Modular Ratio can be measured.
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