Prestress Drop given Strain due to Bending and Compression in Two Parabolic Tendons Calculator

✖Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness.ⓘ Modulus of Elasticity of Steel Reinforcement [E_s]			+10% -10%
✖Strain due to Compression refers to the component of strain in the level of tendon A due to pure compression.ⓘ Strain due to Compression [ε_c1]			+10% -10%
✖Strain due to Bending is the strain in the level of tendon A due to bending action.ⓘ Strain due to Bending [ε_c2]			+10% -10%

✖Prestress Drop is the drop in applied prestress force due to strain in tendons.ⓘ Prestress Drop given Strain due to Bending and Compression in Two Parabolic Tendons [Δf_p]

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Prestress Drop given Strain due to Bending and Compression in Two Parabolic Tendons Solution

STEP 0: Pre-Calculation Summary

Formula Used

Prestress Drop = Modulus of Elasticity of Steel Reinforcement*(Strain due to Compression+Strain due to Bending)
Δf_p = E_s*(ε_c1+ε_c2)
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.
Strain due to Compression - Strain due to Compression refers to the component of strain in the level of tendon A due to pure compression.
Strain due to Bending - Strain due to Bending is the strain in the level of tendon A due to bending action.

STEP 1: Convert Input(s) to Base Unit

Modulus of Elasticity of Steel Reinforcement: 200000 Megapascal --> 200000 Megapascal No Conversion Required
Strain due to Compression: 0.5 --> No Conversion Required
Strain due to Bending: 0.03 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δf_p = E_s*(ε_c1+ε_c2) --> 200000*(0.5+0.03)

Evaluating ... ...

Δf_p = 106000

STEP 3: Convert Result to Output's Unit

106000000000 Pascal -->106000 Megapascal (Check conversion here)

FINAL ANSWER

106000 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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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 Strain due to Bending and Compression in Two Parabolic Tendons Formula

LaTeX Go

Prestress Drop = Modulus of Elasticity of Steel Reinforcement*(Strain due to Compression+Strain due to Bending)
Δf_p = E_s*(ε_c1+ε_c2)

What is meant by Tendons?

The tendon is a stretched element used is a concrete member’s of structure to impart prestress to the concrete. Generally high tensile steel wires, bars, cables or strands are used as tendons.

How to Calculate Prestress Drop given Strain due to Bending and Compression in Two Parabolic Tendons?

Prestress Drop given Strain due to Bending and Compression in Two Parabolic Tendons calculator uses Prestress Drop = Modulus of Elasticity of Steel Reinforcement*(Strain due to Compression+Strain due to Bending) to calculate the Prestress Drop, The Prestress Drop given Strain due to Bending and Compression in Two Parabolic Tendons is defined as the equation for finding the loss of prestress in a section when two tendons, say A and B, are used. The loss in A is given above when tendon B is tensioned. Prestress Drop is denoted by Δf_p symbol.

How to calculate Prestress Drop given Strain due to Bending and Compression in Two Parabolic Tendons using this online calculator? To use this online calculator for Prestress Drop given Strain due to Bending and Compression in Two Parabolic Tendons, enter Modulus of Elasticity of Steel Reinforcement (E_s), Strain due to Compression (ε_c1) & Strain due to Bending (ε_c2) and hit the calculate button. Here is how the Prestress Drop given Strain due to Bending and Compression in Two Parabolic Tendons calculation can be explained with given input values -> 0.106 = 200000000000*(0.5+0.03).

FAQ

What is Prestress Drop given Strain due to Bending and Compression in Two Parabolic Tendons?

The Prestress Drop given Strain due to Bending and Compression in Two Parabolic Tendons is defined as the equation for finding the loss of prestress in a section when two tendons, say A and B, are used. The loss in A is given above when tendon B is tensioned and is represented as Δf_p = E_s*(ε_c1+ε_c2) or Prestress Drop = Modulus of Elasticity of Steel Reinforcement*(Strain due to Compression+Strain due to Bending). Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness, Strain due to Compression refers to the component of strain in the level of tendon A due to pure compression & Strain due to Bending is the strain in the level of tendon A due to bending action.

How to calculate Prestress Drop given Strain due to Bending and Compression in Two Parabolic Tendons?

The Prestress Drop given Strain due to Bending and Compression in Two Parabolic Tendons is defined as the equation for finding the loss of prestress in a section when two tendons, say A and B, are used. The loss in A is given above when tendon B is tensioned is calculated using Prestress Drop = Modulus of Elasticity of Steel Reinforcement*(Strain due to Compression+Strain due to Bending). To calculate Prestress Drop given Strain due to Bending and Compression in Two Parabolic Tendons, you need Modulus of Elasticity of Steel Reinforcement (E_s), Strain due to Compression (ε_c1) & Strain due to Bending (ε_c2). With our tool, you need to enter the respective value for Modulus of Elasticity of Steel Reinforcement, Strain due to Compression & Strain due to Bending 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, Strain due to Compression & Strain due to Bending. 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*Stress in Concrete Section/Modulus of Elasticity Concrete

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