Change in Eccentricity of Tendon B due to Parabolic Shape Calculator

✖Eccentricity at Midspan B refers to the eccentricity of parabolic tendon at center of section.ⓘ Eccentricity at Midspan B [e_B2]			+10% -10%
✖Eccentricity at End for B is the distance by which the tendons at end is placed from the CG of section.ⓘ Eccentricity at End for B [e_B1]			+10% -10%

✖Change in Eccentricity B refers the eccentricity of tendon B when the eccentricity at both ends and centre is considered.ⓘ Change in Eccentricity of Tendon B due to Parabolic Shape [Δe_B]

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Formula

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Change in Eccentricity of Tendon B due to Parabolic Shape

Formula

`"Δe"_{"B"} = "e"_{"B2"}-"e"_{"B1"}`

Example

`"10.07mm"="20.1mm"-"10.03mm"`

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Change in Eccentricity of Tendon B due to Parabolic Shape Solution

STEP 0: Pre-Calculation Summary

Formula Used

Change in Eccentricity B = Eccentricity at Midspan B-Eccentricity at End for B
Δe_B = e_B2-e_B1
This formula uses 3 Variables

Variables Used

Change in Eccentricity B - (Measured in Meter) - Change in Eccentricity B refers the eccentricity of tendon B when the eccentricity at both ends and centre is considered.
Eccentricity at Midspan B - (Measured in Meter) - Eccentricity at Midspan B refers to the eccentricity of parabolic tendon at center of section.
Eccentricity at End for B - (Measured in Meter) - Eccentricity at End for B is the distance by which the tendons at end is placed from the CG of section.

STEP 1: Convert Input(s) to Base Unit

Eccentricity at Midspan B: 20.1 Millimeter --> 0.0201 Meter (Check conversion here)
Eccentricity at End for B: 10.03 Millimeter --> 0.01003 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δe_B = e_B2-e_B1 --> 0.0201-0.01003

Evaluating ... ...

Δe_B = 0.01007

STEP 3: Convert Result to Output's Unit

0.01007 Meter -->10.07 Millimeter (Check conversion here)

FINAL ANSWER

10.07 Millimeter <-- Change in Eccentricity B

(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 B 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 B due to Parabolic Shape Formula

Change in Eccentricity B = Eccentricity at Midspan B-Eccentricity at End for B
Δe_B = e_B2-e_B1

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 B due to Parabolic Shape?

Change in Eccentricity of Tendon B due to Parabolic Shape calculator uses Change in Eccentricity B = Eccentricity at Midspan B-Eccentricity at End for B to calculate the Change in Eccentricity B, The Change in Eccentricity of Tendon B due to Parabolic Shape is defined as the eccentricity of a parabolic tendon when both the distance from CG of section in ends and centre is considered. Change in Eccentricity B is denoted by Δe_B symbol.

How to calculate Change in Eccentricity of Tendon B due to Parabolic Shape using this online calculator? To use this online calculator for Change in Eccentricity of Tendon B due to Parabolic Shape, enter Eccentricity at Midspan B (e_B2) & Eccentricity at End for B (e_B1) and hit the calculate button. Here is how the Change in Eccentricity of Tendon B due to Parabolic Shape calculation can be explained with given input values -> 10070 = 0.0201-0.01003.

FAQ

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

The Change in Eccentricity of Tendon B due to Parabolic Shape is defined as the eccentricity of a parabolic tendon when both the distance from CG of section in ends and centre is considered and is represented as Δe_B = e_B2-e_B1 or Change in Eccentricity B = Eccentricity at Midspan B-Eccentricity at End for B. Eccentricity at Midspan B refers to the eccentricity of parabolic tendon at center of section & Eccentricity at End for B is the distance by which the tendons at end is placed from the CG of section.

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

The Change in Eccentricity of Tendon B due to Parabolic Shape is defined as the eccentricity of a parabolic tendon when both the distance from CG of section in ends and centre is considered is calculated using Change in Eccentricity B = Eccentricity at Midspan B-Eccentricity at End for B. To calculate Change in Eccentricity of Tendon B due to Parabolic Shape, you need Eccentricity at Midspan B (e_B2) & Eccentricity at End for B (e_B1). With our tool, you need to enter the respective value for Eccentricity at Midspan B & Eccentricity at End for B 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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