Prestress Drop given Modular Ratio Calculator

✖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.ⓘ Modular Ratio for Elastic Shortening [m_Elastic]			+10% -10%
✖Stress in Concrete Section is the force per unit area of the concrete section considered.ⓘ Stress in Concrete Section [f_concrete]			+10% -10%

✖Prestress Drop is the drop in applied prestress force due to strain in tendons.ⓘ Prestress Drop given Modular Ratio [Δf_p]

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Prestress Drop given Modular Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Prestress Drop = Modular Ratio for Elastic Shortening*Stress in Concrete Section
Δf_p = m_Elastic*f_concrete
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

Δf_p = m_Elastic*f_concrete --> 0.6*16.6

Evaluating ... ...

Δf_p = 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 00.020 seconds)

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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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< Post Tensioned Members Calculators

Prestress Drop given Stress in concrete at Same Level due to Prestressing Force

LaTeX Go Prestress Drop = Modulus of Elasticity of Steel Reinforcement*Stress in Concrete Section/Modulus of Elasticity Concrete

Area of Concrete Section given Prestress Drop

LaTeX Go Concrete Occupied Area = Modular Ratio for Elastic Shortening*Prestress Force/(Prestress Drop)

Prestress Drop given Modular Ratio

LaTeX Go Prestress Drop = Modular Ratio for Elastic Shortening*Stress in Concrete Section

Prestress Drop

LaTeX Go Prestress Drop = Modulus of Elasticity of Steel Reinforcement*Change in Strain

Prestress Drop given Modular Ratio Formula

LaTeX Go

Prestress Drop = Modular Ratio for Elastic Shortening*Stress in Concrete Section
Δf_p = m_Elastic*f_concrete

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 Δf_p 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 (m_Elastic) & Stress in Concrete Section (f_concrete) 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 Δf_p = m_Elastic*f_concrete 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 (m_Elastic) & Stress in Concrete Section (f_concrete). 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 3 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

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