Stress in Concrete given Prestress Drop Calculator

✖Prestress Drop is the drop in applied prestress force due to strain in tendons.ⓘ Prestress Drop [Δf_p]			+10% -10%
✖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 given Prestress Drop [f_concrete]

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Stress in Concrete given Prestress Drop

Formula

`"f"_{"concrete"} = "Δf"_{"p"}/"m"_{"Elastic"}`

Example

`"16.66667MPa"="10MPa"/"0.6"`

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Stress in Concrete given Prestress Drop Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stress in Concrete Section = Prestress Drop/Modular Ratio for Elastic Shortening
f_concrete = Δf_p/m_Elastic
This formula uses 3 Variables

Variables Used

Stress in Concrete Section - (Measured in Megapascal) - Stress in Concrete Section is the force per unit area of the concrete section considered.
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.

STEP 1: Convert Input(s) to Base Unit

Prestress Drop: 10 Megapascal --> 10 Megapascal No Conversion Required
Modular Ratio for Elastic Shortening: 0.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_concrete = Δf_p/m_Elastic --> 10/0.6

Evaluating ... ...

f_concrete = 16.6666666666667

STEP 3: Convert Result to Output's Unit

16666666.6666667 Pascal -->16.6666666666667 Megapascal (Check conversion here)

FINAL ANSWER

16.6666666666667 ≈ 16.66667 Megapascal <-- Stress in Concrete Section

(Calculation completed in 00.004 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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< 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

Stress in Concrete given Prestress Drop Formula

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

What are Prestress Losses?

The prestress losses are defined as the loss of tensile stress in the prestress steel which acts on the concrete component of the prestressed concrete section. In pre-tensioned concrete, the four major sources of prestress losses are elastic shortening (ES), creep (CR), shrinkage (SH) and relaxation (RE). Additionally, prestress losses are further affected by variations in material properties of the concrete.

How to Calculate Stress in Concrete given Prestress Drop?

Stress in Concrete given Prestress Drop calculator uses Stress in Concrete Section = Prestress Drop/Modular Ratio for Elastic Shortening to calculate the Stress in Concrete Section, The Stress in Concrete given Prestress Drop is defined as the parameters, modular ratio, pressure drop and the stress in concrete at the same level of prestressing force. Stress in Concrete Section is denoted by f_concrete symbol.

How to calculate Stress in Concrete given Prestress Drop using this online calculator? To use this online calculator for Stress in Concrete given Prestress Drop, enter Prestress Drop (Δf_p) & Modular Ratio for Elastic Shortening (m_Elastic) and hit the calculate button. Here is how the Stress in Concrete given Prestress Drop calculation can be explained with given input values -> 1.7E-5 = 10000000/0.6.

FAQ

What is Stress in Concrete given Prestress Drop?

The Stress in Concrete given Prestress Drop is defined as the parameters, modular ratio, pressure drop and the stress in concrete at the same level of prestressing force and is represented as f_concrete = Δf_p/m_Elastic or Stress in Concrete Section = Prestress Drop/Modular Ratio for Elastic Shortening. Prestress Drop is the drop in applied prestress force due to strain in tendons & 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.

How to calculate Stress in Concrete given Prestress Drop?

The Stress in Concrete given Prestress Drop is defined as the parameters, modular ratio, pressure drop and the stress in concrete at the same level of prestressing force is calculated using Stress in Concrete Section = Prestress Drop/Modular Ratio for Elastic Shortening. To calculate Stress in Concrete given Prestress Drop, you need Prestress Drop (Δf_p) & Modular Ratio for Elastic Shortening (m_Elastic). With our tool, you need to enter the respective value for Prestress Drop & Modular Ratio for Elastic Shortening and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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