Change in Eccentricity of Tendon A due to Parabolic Shape Calculator

✖Eccentricity at Midspan for A is the distance of tendon from the CG of section at the midspan.ⓘ Eccentricity at Midspan for A [e_A2]			+10% -10%
✖Eccentricity at End for A is the distance by which the tendon is eccentrically placed from CG of the section at the ends.ⓘ Eccentricity at End for A [e_A1]			+10% -10%

✖Change in Eccentricity at A is the value for eccentricity considering the end and mid span of parabolic tendon. Here, the value above is for tendon A.ⓘ Change in Eccentricity of Tendon A due to Parabolic Shape [Δe_A]

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Formula

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Change in Eccentricity of Tendon A due to Parabolic Shape

Formula

`"Δe"_{"A"} = "e"_{"A2"}-"e"_{"A1"}`

Example

`"9.981mm"="20.001mm"-"10.02mm"`

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Change in Eccentricity of Tendon A due to Parabolic Shape Solution

STEP 0: Pre-Calculation Summary

Formula Used

Change in Eccentricity at A = Eccentricity at Midspan for A-Eccentricity at End for A
Δe_A = e_A2-e_A1
This formula uses 3 Variables

Variables Used

Change in Eccentricity at A - (Measured in Meter) - Change in Eccentricity at A is the value for eccentricity considering the end and mid span of parabolic tendon. Here, the value above is for tendon A.
Eccentricity at Midspan for A - (Measured in Meter) - Eccentricity at Midspan for A is the distance of tendon from the CG of section at the midspan.
Eccentricity at End for A - (Measured in Meter) - Eccentricity at End for A is the distance by which the tendon is eccentrically placed from CG of the section at the ends.

STEP 1: Convert Input(s) to Base Unit

Eccentricity at Midspan for A: 20.001 Millimeter --> 0.020001 Meter (Check conversion here)
Eccentricity at End for A: 10.02 Millimeter --> 0.01002 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δe_A = e_A2-e_A1 --> 0.020001-0.01002

Evaluating ... ...

Δe_A = 0.009981

STEP 3: Convert Result to Output's Unit

0.009981 Meter -->9.981 Millimeter (Check conversion here)

FINAL ANSWER

9.981 Millimeter <-- Change in Eccentricity at A

(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 » Change in Eccentricity of Tendon A due to Parabolic Shape

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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National Institute of Technology Karnataka (NITK), Surathkal

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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

Change in Eccentricity of Tendon A due to Parabolic Shape Formula

Change in Eccentricity at A = Eccentricity at Midspan for A-Eccentricity at End for A
Δe_A = e_A2-e_A1

Distinguish between Concentric and Eccentric Prestressing?

The concentric or axial prestressing members in which the entire cross section of concrete has a uniform compressive prestress. In this type the centroid of the tendon coincides with that of the concrete section. Where as in eccentric prestressing is a section at which the tendons are eccentric to the centroid, resulting in a triangular or trapezoidal compressive stress distribution.

How to Calculate Change in Eccentricity of Tendon A due to Parabolic Shape?

Change in Eccentricity of Tendon A due to Parabolic Shape calculator uses Change in Eccentricity at A = Eccentricity at Midspan for A-Eccentricity at End for A to calculate the Change in Eccentricity at A, The Change in Eccentricity of Tendon A due to Parabolic Shape is defined as the value for the eccentricity of parabolic tendon A, when eccentricity at center and ends are both considered. Change in Eccentricity at A is denoted by Δe_A symbol.

How to calculate Change in Eccentricity of Tendon A due to Parabolic Shape using this online calculator? To use this online calculator for Change in Eccentricity of Tendon A due to Parabolic Shape, enter Eccentricity at Midspan for A (e_A2) & Eccentricity at End for A (e_A1) and hit the calculate button. Here is how the Change in Eccentricity of Tendon A due to Parabolic Shape calculation can be explained with given input values -> 9990 = 0.020001-0.01002.

FAQ

What is Change in Eccentricity of Tendon A due to Parabolic Shape?

The Change in Eccentricity of Tendon A due to Parabolic Shape is defined as the value for the eccentricity of parabolic tendon A, when eccentricity at center and ends are both considered and is represented as Δe_A = e_A2-e_A1 or Change in Eccentricity at A = Eccentricity at Midspan for A-Eccentricity at End for A. Eccentricity at Midspan for A is the distance of tendon from the CG of section at the midspan & Eccentricity at End for A is the distance by which the tendon is eccentrically placed from CG of the section at the ends.

How to calculate Change in Eccentricity of Tendon A due to Parabolic Shape?

The Change in Eccentricity of Tendon A due to Parabolic Shape is defined as the value for the eccentricity of parabolic tendon A, when eccentricity at center and ends are both considered is calculated using Change in Eccentricity at A = Eccentricity at Midspan for A-Eccentricity at End for A. To calculate Change in Eccentricity of Tendon A due to Parabolic Shape, you need Eccentricity at Midspan for A (e_A2) & Eccentricity at End for A (e_A1). With our tool, you need to enter the respective value for Eccentricity at Midspan for A & Eccentricity at End for A 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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