Variation of Eccentricity on Tendon A Calculator

✖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 at A [Δe_A]			+10% -10%
✖Distance from Left End is the distance considered from the left jacking end on a prestressed member.ⓘ Distance from Left End [x]			+10% -10%
✖Length of Beam in Prestress is the center to center distance between the supports or the effective length of the beam.ⓘ Length of Beam in Prestress [L]			+10% -10%

✖Eccentricity Variation of Tendon A is the variation considered when the parabolic tendons are used for prestressing of a beam.ⓘ Variation of Eccentricity on Tendon A [E_A(x)]

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Variation of Eccentricity on Tendon A Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
E_A(x) = e_A1+(4*Δe_A*x/L)*(1-(x/L))
This formula uses 5 Variables

Variables Used

Eccentricity Variation of Tendon A - (Measured in Meter) - Eccentricity Variation of Tendon A is the variation considered when the parabolic tendons are used for prestressing of a beam.
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.
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.
Distance from Left End - (Measured in Meter) - Distance from Left End is the distance considered from the left jacking end on a prestressed member.
Length of Beam in Prestress - (Measured in Meter) - Length of Beam in Prestress is the center to center distance between the supports or the effective length of the beam.

STEP 1: Convert Input(s) to Base Unit

Eccentricity at End for A: 10.02 Millimeter --> 0.01002 Meter (Check conversion here)
Change in Eccentricity at A: 10 Millimeter --> 0.01 Meter (Check conversion here)
Distance from Left End: 10.1 Millimeter --> 0.0101 Meter (Check conversion here)
Length of Beam in Prestress: 10.2 Meter --> 10.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_A(x) = e_A1+(4*Δe_A*x/L)*(1-(x/L)) --> 0.01002+(4*0.01*0.0101/10.2)*(1-(0.0101/10.2))

Evaluating ... ...

E_A(x) = 0.0100595686236063

STEP 3: Convert Result to Output's Unit

0.0100595686236063 Meter -->10.0595686236063 Millimeter (Check conversion here)

FINAL ANSWER

10.0595686236063 ≈ 10.05957 Millimeter <-- Eccentricity Variation of Tendon A

(Calculation completed in 00.006 seconds)

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Variation of Eccentricity on Tendon A Formula

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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 Variation of Eccentricity on Tendon A?

Variation of Eccentricity on Tendon A calculator uses 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)) to calculate the Eccentricity Variation of Tendon A, The Variation of Eccentricity on Tendon A is defined as the variation considered for a parabolic tendon, say A, when the eccentricity at end and centre are different. the formula above is used to find the eccentricity at distance x from left end. Eccentricity Variation of Tendon A is denoted by E_A(x) symbol.

How to calculate Variation of Eccentricity on Tendon A using this online calculator? To use this online calculator for Variation of Eccentricity on Tendon A, enter Eccentricity at End for A (e_A1), Change in Eccentricity at A (Δe_A), Distance from Left End (x) & Length of Beam in Prestress (L) and hit the calculate button. Here is how the Variation of Eccentricity on Tendon A calculation can be explained with given input values -> 10059.96 = 0.01002+(4*0.01*0.0101/10.2)*(1-(0.0101/10.2)).

FAQ

What is Variation of Eccentricity on Tendon A?

The Variation of Eccentricity on Tendon A is defined as the variation considered for a parabolic tendon, say A, when the eccentricity at end and centre are different. the formula above is used to find the eccentricity at distance x from left end and is represented as E_A(x) = e_A1+(4*Δe_A*x/L)*(1-(x/L)) or 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)). Eccentricity at End for A is the distance by which the tendon is eccentrically placed from CG of the section at the ends, 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, Distance from Left End is the distance considered from the left jacking end on a prestressed member & Length of Beam in Prestress is the center to center distance between the supports or the effective length of the beam.

How to calculate Variation of Eccentricity on Tendon A?

The Variation of Eccentricity on Tendon A is defined as the variation considered for a parabolic tendon, say A, when the eccentricity at end and centre are different. the formula above is used to find the eccentricity at distance x from left end is calculated using 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)). To calculate Variation of Eccentricity on Tendon A, you need Eccentricity at End for A (e_A1), Change in Eccentricity at A (Δe_A), Distance from Left End (x) & Length of Beam in Prestress (L). With our tool, you need to enter the respective value for Eccentricity at End for A, Change in Eccentricity at A, Distance from Left End & Length of Beam in Prestress 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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