Prestress Drop when Two parabolic Tendons are Incorporated Calculator

✖Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness.ⓘ Modulus of Elasticity of Steel Reinforcement [E_s]			+10% -10%
✖Concrete Strain is the reduction in volume of concrete after the application of loading then change in volume with respect to volume of concrete before applied loading.ⓘ Concrete Strain [ε_c]			+10% -10%

✖Prestress Drop is the drop in applied prestress force due to strain in tendons.ⓘ Prestress Drop when Two parabolic Tendons are Incorporated [Δf_p]

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Prestress Drop when Two parabolic Tendons are Incorporated

Formula

`"Δf"_{"p"} = "E"_{"s"}*"ε"_{"c"}`

Example

`"9000MPa"="200000MPa"*"0.045"`

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Prestress Drop when Two parabolic Tendons are Incorporated Solution

STEP 0: Pre-Calculation Summary

Formula Used

Prestress Drop = Modulus of Elasticity of Steel Reinforcement*Concrete Strain
Δf_p = E_s*ε_c
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.
Modulus of Elasticity of Steel Reinforcement - (Measured in Megapascal) - Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness.
Concrete Strain - Concrete Strain is the reduction in volume of concrete after the application of loading then change in volume with respect to volume of concrete before applied loading.

STEP 1: Convert Input(s) to Base Unit

Modulus of Elasticity of Steel Reinforcement: 200000 Megapascal --> 200000 Megapascal No Conversion Required
Concrete Strain: 0.045 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δf_p = E_s*ε_c --> 200000*0.045

Evaluating ... ...

Δf_p = 9000

STEP 3: Convert Result to Output's Unit

9000000000 Pascal -->9000 Megapascal (Check conversion here)

FINAL ANSWER

9000 Megapascal <-- Prestress Drop

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Structural Engineering » Prestressed Concrete » Losses of Prestress » Loss due to Elastic Shortening » Post-Tensioned Members » Prestress Drop when Two parabolic Tendons are Incorporated

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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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< 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 when Two parabolic Tendons are Incorporated Formula

Prestress Drop = Modulus of Elasticity of Steel Reinforcement*Concrete Strain
Δf_p = E_s*ε_c

What are the Advantages of Prestressing?

Advantages of Prestressing 1) Section remains uncracked under service loads
• Reduction of steel corrosion – Increase in durability.
• Full section is utilized – Higher moment of inertia (higher stiffness) – Less deformations (improved serviceability).
• Suitable for use in pressure vessels, liquid retaining structures.
• Increases the shear capacity.
• Improved performance (resilience) under dynamic and fatigue loading.

How to Calculate Prestress Drop when Two parabolic Tendons are Incorporated?

Prestress Drop when Two parabolic Tendons are Incorporated calculator uses Prestress Drop = Modulus of Elasticity of Steel Reinforcement*Concrete Strain to calculate the Prestress Drop, The Prestress Drop when Two parabolic Tendons are Incorporated is defined as the equation for finding the loss in stress for tendon A when multiple tendons, say, A and B are considered. the strain to be considered here is the strain at level of tendon A, when tensioning in tendon B is done. Prestress Drop is denoted by Δf_p symbol.

How to calculate Prestress Drop when Two parabolic Tendons are Incorporated using this online calculator? To use this online calculator for Prestress Drop when Two parabolic Tendons are Incorporated, enter Modulus of Elasticity of Steel Reinforcement (E_s) & Concrete Strain (ε_c) and hit the calculate button. Here is how the Prestress Drop when Two parabolic Tendons are Incorporated calculation can be explained with given input values -> 0.009 = 200000000000*0.045.

FAQ

What is Prestress Drop when Two parabolic Tendons are Incorporated?

The Prestress Drop when Two parabolic Tendons are Incorporated is defined as the equation for finding the loss in stress for tendon A when multiple tendons, say, A and B are considered. the strain to be considered here is the strain at level of tendon A, when tensioning in tendon B is done and is represented as Δf_p = E_s*ε_c or Prestress Drop = Modulus of Elasticity of Steel Reinforcement*Concrete Strain. Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness & Concrete Strain is the reduction in volume of concrete after the application of loading then change in volume with respect to volume of concrete before applied loading.

How to calculate Prestress Drop when Two parabolic Tendons are Incorporated?

The Prestress Drop when Two parabolic Tendons are Incorporated is defined as the equation for finding the loss in stress for tendon A when multiple tendons, say, A and B are considered. the strain to be considered here is the strain at level of tendon A, when tensioning in tendon B is done is calculated using Prestress Drop = Modulus of Elasticity of Steel Reinforcement*Concrete Strain. To calculate Prestress Drop when Two parabolic Tendons are Incorporated, you need Modulus of Elasticity of Steel Reinforcement (E_s) & Concrete Strain (ε_c). With our tool, you need to enter the respective value for Modulus of Elasticity of Steel Reinforcement & Concrete Strain 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 Modulus of Elasticity of Steel Reinforcement & Concrete Strain. 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 = Modular Ratio for Elastic Shortening*Stress in Concrete Section
Prestress Drop = Modulus of Elasticity of Steel Reinforcement*Stress in Concrete Section/Modulus of Elasticity Concrete
Prestress Drop = Modulus of Elasticity of Steel Reinforcement*(Strain due to Compression+Strain due to Bending)

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