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

✖Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness.ⓘ Modulus of Elasticity of Steel Reinforcement [E_s]			+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%
✖Modulus of Elasticity Concrete is the ratio of the applied stress to the corresponding strain.ⓘ Modulus of Elasticity Concrete [E_concrete]			+10% -10%

✖Prestress Drop is the drop in applied prestress force due to strain in tendons.ⓘ Prestress Drop given Stress in concrete at Same Level due to Prestressing Force [Δf_p]

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Formula

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

Formula

Δf p = E s \cdot \frac{f concrete}{E concrete}

Example

33200 MPa = 200000 MPa \cdot \frac{16.6 MPa}{100 MPa}

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

STEP 0: Pre-Calculation Summary

Formula Used

Prestress Drop = Modulus of Elasticity of Steel Reinforcement*Stress in Concrete Section/Modulus of Elasticity Concrete
Δf_p = E_s*f_concrete/E_concrete
This formula uses 4 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.
Stress in Concrete Section - (Measured in Megapascal) - Stress in Concrete Section is the force per unit area of the concrete section considered.
Modulus of Elasticity Concrete - (Measured in Megapascal) - Modulus of Elasticity Concrete is the ratio of the applied stress to the corresponding strain.

STEP 1: Convert Input(s) to Base Unit

Modulus of Elasticity of Steel Reinforcement: 200000 Megapascal --> 200000 Megapascal No Conversion Required
Stress in Concrete Section: 16.6 Megapascal --> 16.6 Megapascal No Conversion Required
Modulus of Elasticity Concrete: 100 Megapascal --> 100 Megapascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δf_p = E_s*f_concrete/E_concrete --> 200000*16.6/100

Evaluating ... ...

Δf_p = 33200

STEP 3: Convert Result to Output's Unit

33200000000 Pascal -->33200 Megapascal (Check conversion here)

FINAL ANSWER

33200 Megapascal <-- Prestress Drop

(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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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

Area of Concrete Section given Prestress Drop

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

Prestress Drop given Modular Ratio

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

Prestress Drop

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

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

Prestress Drop = Modulus of Elasticity of Steel Reinforcement*Stress in Concrete Section/Modulus of Elasticity Concrete
Δf_p = E_s*f_concrete/E_concrete

What are Losses of Prestressed member?

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 Stress in concrete at Same Level due to Prestressing Force?

Prestress Drop given Stress in concrete at Same Level due to Prestressing Force calculator uses Prestress Drop = Modulus of Elasticity of Steel Reinforcement*Stress in Concrete Section/Modulus of Elasticity Concrete to calculate the Prestress Drop, Prestress Drop given Stress in concrete at Same Level due to Prestressing Force is defined as reduction of stress in concrete at a specific level due to relaxation or losses in prestressing force. Prestress Drop is denoted by Δf_p symbol.

How to calculate Prestress Drop given Stress in concrete at Same Level due to Prestressing Force using this online calculator? To use this online calculator for Prestress Drop given Stress in concrete at Same Level due to Prestressing Force, enter Modulus of Elasticity of Steel Reinforcement (E_s), Stress in Concrete Section (f_concrete) & Modulus of Elasticity Concrete (E_concrete) and hit the calculate button. Here is how the Prestress Drop given Stress in concrete at Same Level due to Prestressing Force calculation can be explained with given input values -> 0.0332 = 200000000000*16600000/100000000.

FAQ

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

Prestress Drop given Stress in concrete at Same Level due to Prestressing Force is defined as reduction of stress in concrete at a specific level due to relaxation or losses in prestressing force and is represented as Δf_p = E_s*f_concrete/E_concrete or Prestress Drop = Modulus of Elasticity of Steel Reinforcement*Stress in Concrete Section/Modulus of Elasticity Concrete. Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness, Stress in Concrete Section is the force per unit area of the concrete section considered & Modulus of Elasticity Concrete is the ratio of the applied stress to the corresponding strain.

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

Prestress Drop given Stress in concrete at Same Level due to Prestressing Force is defined as reduction of stress in concrete at a specific level due to relaxation or losses in prestressing force is calculated using Prestress Drop = Modulus of Elasticity of Steel Reinforcement*Stress in Concrete Section/Modulus of Elasticity Concrete. To calculate Prestress Drop given Stress in concrete at Same Level due to Prestressing Force, you need Modulus of Elasticity of Steel Reinforcement (E_s), Stress in Concrete Section (f_concrete) & Modulus of Elasticity Concrete (E_concrete). With our tool, you need to enter the respective value for Modulus of Elasticity of Steel Reinforcement, Stress in Concrete Section & Modulus of Elasticity Concrete 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, Stress in Concrete Section & Modulus of Elasticity Concrete. 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 = Modular Ratio for Elastic Shortening*Stress in Concrete Section
Prestress Drop = Modulus of Elasticity of Steel Reinforcement*Concrete Strain

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