Prestress Drop given Modular Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Prestress Drop = Modular Ratio for Elastic Shortening*Stress in Concrete Section
Δfp = mElastic*fconcrete
This formula uses 3 Variables
Variables Used
Prestress Drop - (Measured in Megapascal) - Prestress Drop is the drop in applied prestress force due to strain in tendons.
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.
Stress in Concrete Section - (Measured in Megapascal) - Stress in Concrete Section is the force per unit area of the concrete section considered.
STEP 1: Convert Input(s) to Base Unit
Modular Ratio for Elastic Shortening: 0.6 --> No Conversion Required
Stress in Concrete Section: 16.6 Megapascal --> 16.6 Megapascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Δfp = mElastic*fconcrete --> 0.6*16.6
Evaluating ... ...
Δfp = 9.96
STEP 3: Convert Result to Output's Unit
9960000 Pascal -->9.96 Megapascal (Check conversion here)
FINAL ANSWER
9.96 Megapascal <-- Prestress Drop
(Calculation completed in 00.004 seconds)

Credits

Created by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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Coorg Institute of Technology (CIT), Coorg
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13 Post-Tensioned Members Calculators

Variation of Eccentricity on Tendon A
Go Eccentricity Variation of Tendon A = Eccentricity at End for A+(4*Change in Eccentricity at A*Distance from Left End/Length of Beam in Prestress)*(1-(Distance from Left End/Length of Beam in Prestress))
Variation of Eccentricity of Tendon B
Go Eccentricity Variation of Tendon B = Eccentricity at End for B+(4*Change in Eccentricity B*Distance from Left End/Length of Beam in Prestress)*(1-(Distance from Left End/Length of Beam in Prestress))
Prestress Drop given Stress in concrete at Same Level due to Prestressing Force
Go Prestress Drop = Modulus of Elasticity of Steel Reinforcement*Stress in Concrete Section/Modulus of Elasticity Concrete
Prestress Drop given Strain due to Bending and Compression in Two Parabolic Tendons
Go Prestress Drop = Modulus of Elasticity of Steel Reinforcement*(Strain due to Compression+Strain due to Bending)
Area of Concrete Section given Prestress Drop
Go Concrete Occupied Area = Modular Ratio for Elastic Shortening*Prestress Force/(Prestress Drop)
Average Stress for Parabolic Tendons
Go Average Stress = Stress at End+2/3*(Stress at Midspan-Stress at End)
Change in Eccentricity of Tendon A due to Parabolic Shape
Go Change in Eccentricity at A = Eccentricity at Midspan for A-Eccentricity at End for A
Stress in Concrete given Prestress Drop
Go Stress in Concrete Section = Prestress Drop/Modular Ratio for Elastic Shortening
Prestress Drop given Modular Ratio
Go Prestress Drop = Modular Ratio for Elastic Shortening*Stress in Concrete Section
Component of Strain at Level of First Tendon due to Bending
Go Strain due to Bending = Change in Length Dimension/Length of Beam in Prestress
Change in Eccentricity of Tendon B due to Parabolic Shape
Go Change in Eccentricity B = Eccentricity at Midspan B-Eccentricity at End for B
Prestress Drop
Go Prestress Drop = Modulus of Elasticity of Steel Reinforcement*Change in Strain
Prestress Drop when Two parabolic Tendons are Incorporated
Go Prestress Drop = Modulus of Elasticity of Steel Reinforcement*Concrete Strain

Prestress Drop given Modular Ratio Formula

Prestress Drop = Modular Ratio for Elastic Shortening*Stress in Concrete Section
Δfp = mElastic*fconcrete

What are the types of Losses in Prestressed Concrete?

In a prestressed concrete beam, the loss is due to the following:
Elastic shortening
Shrinkage of concrete
Creep of concrete
Frictional loss
Relaxation of steel
Anchorage take-up

How to Calculate Prestress Drop given Modular Ratio?

Prestress Drop given Modular Ratio calculator uses Prestress Drop = Modular Ratio for Elastic Shortening*Stress in Concrete Section to calculate 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 calculate Prestress Drop given Modular Ratio using this online calculator? To use this online calculator for Prestress Drop given Modular Ratio, enter Modular Ratio for Elastic Shortening (mElastic) & Stress in Concrete Section (fconcrete) and hit the calculate button. Here is how the Prestress Drop given Modular Ratio calculation can be explained with given input values -> 9E-7 = 0.6*16600000.

FAQ

What is Prestress Drop given Modular Ratio?
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 and is represented as Δfp = mElastic*fconcrete or Prestress Drop = Modular Ratio for Elastic Shortening*Stress in Concrete Section. 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 & Stress in Concrete Section is the force per unit area of the concrete section considered.
How to calculate Prestress Drop given Modular Ratio?
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 is calculated using Prestress Drop = Modular Ratio for Elastic Shortening*Stress in Concrete Section. To calculate Prestress Drop given Modular Ratio, you need Modular Ratio for Elastic Shortening (mElastic) & Stress in Concrete Section (fconcrete). With our tool, you need to enter the respective value for Modular Ratio for Elastic Shortening & Stress in Concrete Section and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Prestress Drop?
In this formula, Prestress Drop uses Modular Ratio for Elastic Shortening & Stress in Concrete Section. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Prestress Drop = Modulus of Elasticity of Steel Reinforcement*Change in Strain
  • Prestress Drop = Modulus of Elasticity of Steel Reinforcement*Stress in Concrete Section/Modulus of Elasticity Concrete
  • Prestress Drop = Modulus of Elasticity of Steel Reinforcement*Concrete Strain
  • Prestress Drop = Modulus of Elasticity of Steel Reinforcement*(Strain due to Compression+Strain due to Bending)
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