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Variation of Eccentricity on Tendon A Formula

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Eccentricity Variation of Tendon A is the variation considered when the parabolic tendons are used for prestressing of a beam. Check FAQs

E A(x) = e A1 + (4 \cdot Δe A \cdot \frac{x}{L}) \cdot (1 - (\frac{x}{L}))

E_A(x) - Eccentricity Variation of Tendon A?e_A1 - Eccentricity at End for A?Δe_A - Change in Eccentricity at A?x - Distance from Left End?L - Length of Beam in Prestress?

Variation of Eccentricity on Tendon A Example

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Here is how the Variation of Eccentricity on Tendon A equation looks like with Values.

Here is how the Variation of Eccentricity on Tendon A equation looks like with Units.

Here is how the Variation of Eccentricity on Tendon A equation looks like.

10.0596 = 10.02 + (4 \cdot 10 \cdot \frac{10.1}{10.2}) \cdot (1 - (\frac{10.1}{10.2}))

10.0596mm = 10.02mm + (4 \cdot 10mm \cdot \frac{10.1mm}{10.2m}) \cdot (1 - (\frac{10.1mm}{10.2m}))

10.0596 = 10.02 + (4 \cdot 10 \cdot \frac{10.1}{10.2}) \cdot (1 - (\frac{10.1}{10.2}))

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Variation of Eccentricity on Tendon A Solution

Follow our step by step solution on how to calculate Variation of Eccentricity on Tendon A?

FIRST Step Consider the formula

E A(x) = e A1 + (4 \cdot Δe A \cdot \frac{x}{L}) \cdot (1 - (\frac{x}{L}))

Next Step Substitute values of Variables

∴

E A(x) = 10.02mm + (4 \cdot 10mm \cdot \frac{10.1mm}{10.2m}) \cdot (1 - (\frac{10.1mm}{10.2m}))

Next Step Convert Units

∴

E A(x) = 0.01m + (4 \cdot 0.01m \cdot \frac{0.0101m}{10.2m}) \cdot (1 - (\frac{0.0101m}{10.2m}))

Next Step Prepare to Evaluate

∴

E A(x) = 0.01 + (4 \cdot 0.01 \cdot \frac{0.0101}{10.2}) \cdot (1 - (\frac{0.0101}{10.2}))

Next Step Evaluate

∴

E A(x) = 0.0100595686236063m

Next Step Convert to Output's Unit

∴

E A(x) = 10.0595686236063mm

LAST Step Rounding Answer

∴

E A(x) = 10.0596mm

Variation of Eccentricity on Tendon A Formula Elements

Variables

Eccentricity Variation of Tendon A

Eccentricity Variation of Tendon A is the variation considered when the parabolic tendons are used for prestressing of a beam.

Symbol: E_A(x)

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Eccentricity Variation of Tendon A

Eccentricity at End for A

Eccentricity at End for A is the distance by which the tendon is eccentrically placed from CG of the section at the ends.

Symbol: e_A1

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Eccentricity at End for A

Change in Eccentricity at A

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.

Symbol: Δe_A

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Change in Eccentricity at A

Distance from Left End

Distance from Left End is the distance considered from the left jacking end on a prestressed member.

Symbol: x

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Left End

Length of Beam in Prestress

Length of Beam in Prestress is the center to center distance between the supports or the effective length of the beam.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Beam in Prestress

How to Evaluate Variation of Eccentricity on Tendon A?

Variation of Eccentricity on Tendon A evaluator 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 evaluate 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 evaluate Variation of Eccentricity on Tendon A using this online evaluator? To use this online evaluator 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.

FAQs on Variation of Eccentricity on Tendon A

What is the formula to find Variation of Eccentricity on Tendon A?

The formula of Variation of Eccentricity on Tendon A is expressed as 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)). Here is an example- 10059.96 = 0.01002+(4*0.01*0.0101/10.2)*(1-(0.0101/10.2)).

How to calculate Variation of Eccentricity on Tendon A?

With 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) we can find Variation of Eccentricity on Tendon A using the formula - 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)).

Can the Variation of Eccentricity on Tendon A be negative?

Yes, the Variation of Eccentricity on Tendon A, measured in Length can be negative.

Which unit is used to measure Variation of Eccentricity on Tendon A?

Variation of Eccentricity on Tendon A is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Variation of Eccentricity on Tendon A can be measured.

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Variation of Eccentricity on Tendon A Formula

Variation of Eccentricity on Tendon A Example

Variation of Eccentricity on Tendon A Solution

Variation of Eccentricity on Tendon A Formula Elements

Other formulas in Post Tensioned Members category

How to Evaluate Variation of Eccentricity on Tendon A?

FAQs on Variation of Eccentricity on Tendon A

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