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Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered Formula

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Prestressing force after Immediate Losses is force after immediate losses. It is also called as reduced value of prestressing force after elastic shortening, anchorage slip and loss due to friction. Check FAQs

P = (\frac{P x}{\exp (η \cdot x)}) + Δf p

P - Prestressing force after Immediate Losses?P_x - Prestress Force at a Distance?η - Simplified Term?x - Distance from Left End?Δf_p - Prestress Drop?

Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered Example

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Here is how the Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered equation looks like with Values.

Here is how the Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered equation looks like with Units.

Here is how the Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered equation looks like.

0.01 = (\frac{96}{\exp (6 \cdot 10.1)}) + 10

0.01kN = (\frac{96kN}{\exp (6 \cdot 10.1mm)}) + 10MPa

0.01 = (\frac{96}{\exp (6 \cdot 10.1)}) + 10

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Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered Solution

Follow our step by step solution on how to calculate Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered?

FIRST Step Consider the formula

P = (\frac{P x}{\exp (η \cdot x)}) + Δf p

Next Step Substitute values of Variables

∴

P = (\frac{96kN}{\exp (6 \cdot 10.1mm)}) + 10MPa

Next Step Convert Units

∴

P = (\frac{96000N}{\exp (6 \cdot 10.1mm)}) + 10MPa

Next Step Prepare to Evaluate

∴

P = (\frac{96000}{\exp (6 \cdot 10.1)}) + 10

Next Step Evaluate

∴

P = 10N

LAST Step Convert to Output's Unit

∴

P = 0.01kN

Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered Formula Elements

Variables

Functions

Prestressing force after Immediate Losses

Prestressing force after Immediate Losses is force after immediate losses. It is also called as reduced value of prestressing force after elastic shortening, anchorage slip and loss due to friction.

Symbol: P

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Prestressing force after Immediate Losses

Prestress Force at a Distance

Prestress Force at a Distance refers to the force on prestressed section at a distance x from stretching end.

Symbol: P_x

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Prestress Force at a Distance

Simplified Term

Simplified Term here represents the value which is equal to (μa+kx)/x.

Symbol: η

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Simplified Term

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

Prestress Drop

Prestress Drop is the drop in applied prestress force due to strain in tendons.

Symbol: Δf_p

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Prestress Drop

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

Other formulas in Force Variation Diagram and Loss Due to Anchorage Slip category

Go Loss of Prestress due to Slip

F = A Tendon \cdot \frac{E s \cdot Δ}{PL Cable}

Go Slip of Anchorage

Δ = F \cdot \frac{PL Cable}{A Tendon \cdot E s}

Go Prestressing Force at distance x when Reverse Friction is Considered

P x = (P - Δf p) \cdot \exp (η \cdot x)

Go Pressure Drop given Setting Length

Δf p = 2 \cdot P \cdot η \cdot l set

How to Evaluate Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered?

Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered evaluator uses Prestressing force after Immediate Losses = (Prestress Force at a Distance/(exp(Simplified Term*Distance from Left End)))+Prestress Drop to evaluate the Prestressing force after Immediate Losses, The Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered is defined as the equation to find out the prestressing force after immediate loss when effect of reverse friction and settling lengths are considered. Prestressing force after Immediate Losses is denoted by P symbol.

How to evaluate Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered using this online evaluator? To use this online evaluator for Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered, enter Prestress Force at a Distance (P_x), Simplified Term (η), Distance from Left End (x) & Prestress Drop (Δf_p) and hit the calculate button.

FAQs on Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered

What is the formula to find Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered?

The formula of Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered is expressed as Prestressing force after Immediate Losses = (Prestress Force at a Distance/(exp(Simplified Term*Distance from Left End)))+Prestress Drop. Here is an example- 1E-5 = (96000/(exp(6*0.0101)))+10000000.

How to calculate Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered?

With Prestress Force at a Distance (P_x), Simplified Term (η), Distance from Left End (x) & Prestress Drop (Δf_p) we can find Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered using the formula - Prestressing force after Immediate Losses = (Prestress Force at a Distance/(exp(Simplified Term*Distance from Left End)))+Prestress Drop. This formula also uses Exponential Growth (exp) function(s).

Can the Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered be negative?

No, the Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered, measured in Force cannot be negative.

Which unit is used to measure Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered?

Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered can be measured.

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Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered Formula

Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered Example

Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered Solution

Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered Formula Elements

Other formulas in Force Variation Diagram and Loss Due to Anchorage Slip category

How to Evaluate Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered?

FAQs on Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered

Variable Name