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Prestressing Force at distance x when Reverse Friction is Considered Formula

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

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

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

Prestressing Force at distance x when Reverse Friction is Considered Example

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Here is how the Prestressing Force at distance x when Reverse Friction is Considered equation looks like with Values.

Here is how the Prestressing Force at distance x when Reverse Friction is Considered equation looks like with Units.

Here is how the Prestressing Force at distance x when Reverse Friction is Considered equation looks like.

21.2495 = (20.01 - 10) \cdot \exp (6 \cdot 10.1)

21.2495kN = (20.01kN - 10MPa) \cdot \exp (6 \cdot 10.1mm)

21.2495 = (20.01 - 10) \cdot \exp (6 \cdot 10.1)

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Prestressing Force at distance x when Reverse Friction is Considered Solution

Follow our step by step solution on how to calculate Prestressing Force at distance x when Reverse Friction is Considered?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P x = (20.01kN - 10MPa) \cdot \exp (6 \cdot 10.1mm)

Next Step Convert Units

∴

P x = (20010N - 10MPa) \cdot \exp (6 \cdot 0.0101m)

Next Step Prepare to Evaluate

∴

P x = (20010 - 10) \cdot \exp (6 \cdot 0.0101)

Next Step Evaluate

∴

P x = 21249.4767928419N

Next Step Convert to Output's Unit

∴

P x = 21.2494767928419kN

LAST Step Rounding Answer

∴

P x = 21.2495kN

Prestressing Force at distance x when Reverse Friction is Considered Formula Elements

Variables

Functions

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

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 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

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

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 after Immediate Loss when Reverse Friction Effect is Considered

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

Go Pressure Drop given Setting Length

Δf p = 2 \cdot P \cdot η \cdot l set

How to Evaluate Prestressing Force at distance x when Reverse Friction is Considered?

Prestressing Force at distance x when Reverse Friction is Considered evaluator uses Prestress Force at a Distance = (Prestressing force after Immediate Losses-Prestress Drop)*exp(Simplified Term*Distance from Left End) to evaluate the Prestress Force at a Distance, The Prestressing Force at distance x when Reverse Friction is Considered is defined as the equation to find out the prestressing force at a distance x away from the stretching end of section or beam. Prestress Force at a Distance is denoted by P_x symbol.

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

FAQs on Prestressing Force at distance x when Reverse Friction is Considered

What is the formula to find Prestressing Force at distance x when Reverse Friction is Considered?

The formula of Prestressing Force at distance x when Reverse Friction is Considered is expressed as Prestress Force at a Distance = (Prestressing force after Immediate Losses-Prestress Drop)*exp(Simplified Term*Distance from Left End). Here is an example- 0.021239 = (prestressing_force_po-10000000)*exp(6*0.0101).

How to calculate Prestressing Force at distance x when Reverse Friction is Considered?

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

Can the Prestressing Force at distance x when Reverse Friction is Considered be negative?

No, the Prestressing Force at distance x when Reverse Friction is Considered, measured in Force cannot be negative.

Which unit is used to measure Prestressing Force at distance x when Reverse Friction is Considered?

Prestressing Force at distance x when Reverse Friction 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 at distance x when Reverse Friction is Considered can be measured.

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Prestressing Force at distance x when Reverse Friction is Considered Formula

Prestressing Force at distance x when Reverse Friction is Considered Example

Prestressing Force at distance x when Reverse Friction is Considered Solution

Prestressing Force at distance x when Reverse Friction is Considered Formula Elements

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

How to Evaluate Prestressing Force at distance x when Reverse Friction is Considered?

FAQs on Prestressing Force at distance x when Reverse Friction is Considered

Variable Name