Variation of Eccentricity of Tendon B Calculator

✖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 B [Δe_B]			+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 B is the value for eccentricity at distance x from left jacking side of considered prestress section.ⓘ Variation of Eccentricity of Tendon B [E_B(x)]

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Variation of Eccentricity of Tendon B Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
E_B(x) = e_B1+(4*Δe_B*x/L)*(1-(x/L))
This formula uses 5 Variables

Variables Used

Eccentricity Variation of Tendon B - (Measured in Meter) - Eccentricity Variation of Tendon B is the value for eccentricity at distance x from left jacking side of considered prestress 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.
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.
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 B: 10.03 Millimeter --> 0.01003 Meter (Check conversion here)
Change in Eccentricity B: 20 Millimeter --> 0.02 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_B(x) = e_B1+(4*Δe_B*x/L)*(1-(x/L)) --> 0.01003+(4*0.02*0.0101/10.2)*(1-(0.0101/10.2))

Evaluating ... ...

E_B(x) = 0.0101091372472126

STEP 3: Convert Result to Output's Unit

0.0101091372472126 Meter -->10.1091372472126 Millimeter (Check conversion here)

FINAL ANSWER

10.1091372472126 ≈ 10.10914 Millimeter <-- Eccentricity Variation of Tendon B

(Calculation completed in 00.004 seconds)

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Variation of Eccentricity of Tendon B Formula

LaTeX Go

what are the applications of Post Tensioned system?

(i)Post tensioning is ideally suited for medium to long span in situ nook & hence it is more economical.

(ii) It allows the use of curved and shopped off cables which helps the designer to vary the prestress distribution at will from section to section so as to counter the external loads more efficiently.

(iii)It is invariably used is strengthening concrete dams.

(iv) It is ideally suited for the work involving stage prestressing

How to Calculate Variation of Eccentricity of Tendon B?

Variation of Eccentricity of Tendon B calculator 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 calculate 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 calculate Variation of Eccentricity of Tendon B using this online calculator? To use this online calculator 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. Here is how the Variation of Eccentricity of Tendon B calculation can be explained with given input values -> 10109.14 = 0.01003+(4*0.02*0.0101/10.2)*(1-(0.0101/10.2)).

FAQ

What is Variation of Eccentricity 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 and is represented as E_B(x) = e_B1+(4*Δe_B*x/L)*(1-(x/L)) or 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)). Eccentricity at End for B is the distance by which the tendons at end is placed from the CG of section, Change in Eccentricity B refers the eccentricity of tendon B when the eccentricity at both ends and centre is considered, 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 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 is calculated using 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 calculate Variation of Eccentricity of Tendon B, you need Eccentricity at End for B (e_B1), Change in Eccentricity B (Δe_B), 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 B, Change in Eccentricity B, 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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