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)
Δfp = Es*(εc1+εc2)
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
Δfp = Es*(εc1c2) --> 200000*(0.5+0.03)
Evaluating ... ...
Δfp = 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 00.004 seconds)

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

Prestress Drop = Modulus of Elasticity of Steel Reinforcement*(Strain due to Compression+Strain due to Bending)
Δfp = Es*(εc1+εc2)

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 Δfp 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 (Es), Strain due to Compression c1) & Strain due to Bending 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 Δfp = Es*(εc1c2) 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 (Es), Strain due to Compression c1) & Strain due to Bending 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 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*Concrete Strain
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