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Variation of Eccentricity of Tendon B Formula

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Eccentricity Variation of Tendon B is the value for eccentricity at distance x from left jacking side of considered prestress section. Check FAQs

E B(x) = e B1 + (4 \cdot Δe B \cdot \frac{x}{L}) \cdot (1 - (\frac{x}{L}))

E_B(x) - Eccentricity Variation of Tendon B?e_B1 - Eccentricity at End for B?Δe_B - Change in Eccentricity B?x - Distance from Left End?L - Length of Beam in Prestress?

Variation of Eccentricity of Tendon B Example

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

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

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

10.1091 = 10.03 + (4 \cdot 20 \cdot \frac{10.1}{10.2}) \cdot (1 - (\frac{10.1}{10.2}))

10.1091mm = 10.03mm + (4 \cdot 20mm \cdot \frac{10.1mm}{10.2m}) \cdot (1 - (\frac{10.1mm}{10.2m}))

10.1091 = 10.03 + (4 \cdot 20 \cdot \frac{10.1}{10.2}) \cdot (1 - (\frac{10.1}{10.2}))

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Variation of Eccentricity of Tendon B Solution

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

FIRST Step Consider the formula

E B(x) = e B1 + (4 \cdot Δe B \cdot \frac{x}{L}) \cdot (1 - (\frac{x}{L}))

Next Step Substitute values of Variables

∴

E B(x) = 10.03mm + (4 \cdot 20mm \cdot \frac{10.1mm}{10.2m}) \cdot (1 - (\frac{10.1mm}{10.2m}))

Next Step Convert Units

∴

E B(x) = 0.01m + (4 \cdot 0.02m \cdot \frac{0.0101m}{10.2m}) \cdot (1 - (\frac{0.0101m}{10.2m}))

Next Step Prepare to Evaluate

∴

E B(x) = 0.01 + (4 \cdot 0.02 \cdot \frac{0.0101}{10.2}) \cdot (1 - (\frac{0.0101}{10.2}))

Next Step Evaluate

∴

E B(x) = 0.0101091372472126m

Next Step Convert to Output's Unit

∴

E B(x) = 10.1091372472126mm

LAST Step Rounding Answer

∴

E B(x) = 10.1091mm

Variation of Eccentricity of Tendon B Formula Elements

Variables

Eccentricity Variation of Tendon B

Eccentricity Variation of Tendon B is the value for eccentricity at distance x from left jacking side of considered prestress section.

Symbol: E_B(x)

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Eccentricity Variation of Tendon B

Eccentricity at End for B

Eccentricity at End for B is the distance by which the tendons at end is placed from the CG of section.

Symbol: e_B1

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Eccentricity at End for B

Change in Eccentricity B

Change in Eccentricity B refers the eccentricity of tendon B when the eccentricity at both ends and centre is considered.

Symbol: Δe_B

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Change in Eccentricity B

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 of Tendon B?

Variation of Eccentricity of Tendon B evaluator uses 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)) to evaluate the Eccentricity Variation of Tendon B, The Variation of Eccentricity of Tendon B is defined as the eccentricity at a distance x from left jacking end if parabolic tendons are used for prestressing beam. Eccentricity Variation of Tendon B is denoted by E_B(x) symbol.

How to evaluate Variation of Eccentricity of Tendon B using this online evaluator? To use this online evaluator for Variation of Eccentricity of Tendon B, enter Eccentricity at End for B (e_B1), Change in Eccentricity B (Δe_B), Distance from Left End (x) & Length of Beam in Prestress (L) and hit the calculate button.

FAQs on Variation of Eccentricity of Tendon B

What is the formula to find Variation of Eccentricity of Tendon B?

The formula of Variation of Eccentricity of Tendon B is expressed as 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)). Here is an example- 10109.14 = 0.01003+(4*0.02*0.0101/10.2)*(1-(0.0101/10.2)).

How to calculate Variation of Eccentricity of Tendon B?

With Eccentricity at End for B (e_B1), Change in Eccentricity B (Δe_B), Distance from Left End (x) & Length of Beam in Prestress (L) we can find Variation of Eccentricity of Tendon B using the formula - 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)).

Can the Variation of Eccentricity of Tendon B be negative?

No, the Variation of Eccentricity of Tendon B, measured in Length cannot be negative.

Which unit is used to measure Variation of Eccentricity of Tendon B?

Variation of Eccentricity of Tendon B 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 of Tendon B can be measured.

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Variation of Eccentricity of Tendon B Formula

Variation of Eccentricity of Tendon B Example

Variation of Eccentricity of Tendon B Solution

Variation of Eccentricity of Tendon B Formula Elements

Other formulas in Post Tensioned Members category

How to Evaluate Variation of Eccentricity of Tendon B?

FAQs on Variation of Eccentricity of Tendon B

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