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Settling Length given Prestressing Force Immediately after Loss Formula

GoSettling Length given Pressure Drop Formula

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Settling Length is the length where the effect of anchorage friction is absent. Check FAQs

l set = \sqrt{Δ \cdot A p \cdot \frac{E s}{P \cdot η}}

l_set - Settling Length?Δ - Slip of Anchorage?A_p - Steel Area in Prestress?E_s - Modulus of Elasticity of Steel Reinforcement?P - Prestressing force after Immediate Losses?η - Simplified Term?

Settling Length given Prestressing Force Immediately after Loss Example

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Here is how the Settling Length given Prestressing Force Immediately after Loss equation looks like with Values.

Here is how the Settling Length given Prestressing Force Immediately after Loss equation looks like with Units.

Here is how the Settling Length given Prestressing Force Immediately after Loss equation looks like.

0.0456 = \sqrt{5 \cdot 0.25 \cdot \frac{200000}{20.01 \cdot 6}}

0.0456m = \sqrt{5mm \cdot 0.25mm² \cdot \frac{200000MPa}{20.01kN \cdot 6}}

0.0456 = \sqrt{5 \cdot 0.25 \cdot \frac{200000}{20.01 \cdot 6}}

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Settling Length given Prestressing Force Immediately after Loss Solution

Follow our step by step solution on how to calculate Settling Length given Prestressing Force Immediately after Loss?

FIRST Step Consider the formula

l set = \sqrt{Δ \cdot A p \cdot \frac{E s}{P \cdot η}}

Next Step Substitute values of Variables

∴

l set = \sqrt{5mm \cdot 0.25mm² \cdot \frac{200000MPa}{20.01kN \cdot 6}}

Next Step Prepare to Evaluate

∴

l set = \sqrt{5 \cdot 0.25 \cdot \frac{200000}{20.01 \cdot 6}}

Next Step Evaluate

∴

l set = 0.0456321398494495m

LAST Step Rounding Answer

∴

l set = 0.0456m

Settling Length given Prestressing Force Immediately after Loss Formula Elements

Variables

Functions

Settling Length

Settling Length is the length where the effect of anchorage friction is absent.

Symbol: l_set

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Settling Length

Slip of Anchorage

Slip of Anchorage is the distance by which the anchorage gets slipped when the force is transmitted from anchorage to tendon.

Symbol: Δ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Slip of Anchorage

Steel Area in Prestress

Steel Area in Prestress is the total cross sectional area of tendons.

Symbol: A_p

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Steel Area in Prestress

Modulus of Elasticity of Steel Reinforcement

Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness.

Symbol: E_s

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity of Steel Reinforcement

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Settling Length

Go Settling Length given Pressure Drop

l set = \frac{Δf p}{2 \cdot η \cdot P}

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 Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered

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

How to Evaluate Settling Length given Prestressing Force Immediately after Loss?

Settling Length given Prestressing Force Immediately after Loss evaluator uses Settling Length = sqrt(Slip of Anchorage*Steel Area in Prestress*Modulus of Elasticity of Steel Reinforcement/(Prestressing force after Immediate Losses*Simplified Term)) to evaluate the Settling Length, The Settling Length given Prestressing Force Immediately after Loss is defined as the length of beam where effect of anchorage slip does not exist. It depends on friction and wobble effect of tendons. Settling Length is denoted by l_set symbol.

How to evaluate Settling Length given Prestressing Force Immediately after Loss using this online evaluator? To use this online evaluator for Settling Length given Prestressing Force Immediately after Loss, enter Slip of Anchorage (Δ), Steel Area in Prestress (A_p), Modulus of Elasticity of Steel Reinforcement (E_s), Prestressing force after Immediate Losses (P) & Simplified Term (η) and hit the calculate button.

FAQs on Settling Length given Prestressing Force Immediately after Loss

What is the formula to find Settling Length given Prestressing Force Immediately after Loss?

The formula of Settling Length given Prestressing Force Immediately after Loss is expressed as Settling Length = sqrt(Slip of Anchorage*Steel Area in Prestress*Modulus of Elasticity of Steel Reinforcement/(Prestressing force after Immediate Losses*Simplified Term)). Here is an example- 0.045644 = sqrt(0.005*2.5E-07*200000000000/(prestressing_force_po*6)).

How to calculate Settling Length given Prestressing Force Immediately after Loss?

With Slip of Anchorage (Δ), Steel Area in Prestress (A_p), Modulus of Elasticity of Steel Reinforcement (E_s), Prestressing force after Immediate Losses (P) & Simplified Term (η) we can find Settling Length given Prestressing Force Immediately after Loss using the formula - Settling Length = sqrt(Slip of Anchorage*Steel Area in Prestress*Modulus of Elasticity of Steel Reinforcement/(Prestressing force after Immediate Losses*Simplified Term)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Settling Length?

Here are the different ways to Calculate Settling Length-

Settling Length=Prestress Drop/(2*Simplified Term*Prestressing force after Immediate Losses)

Can the Settling Length given Prestressing Force Immediately after Loss be negative?

No, the Settling Length given Prestressing Force Immediately after Loss, measured in Length cannot be negative.

Which unit is used to measure Settling Length given Prestressing Force Immediately after Loss?

Settling Length given Prestressing Force Immediately after Loss is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Settling Length given Prestressing Force Immediately after Loss can be measured.

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Settling Length given Prestressing Force Immediately after Loss Formula

​GoSettling Length given Pressure Drop Formula

Settling Length given Prestressing Force Immediately after Loss Example

Settling Length given Prestressing Force Immediately after Loss Solution

Settling Length given Prestressing Force Immediately after Loss Formula Elements

Other Formulas to find Settling Length

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

How to Evaluate Settling Length given Prestressing Force Immediately after Loss?

FAQs on Settling Length given Prestressing Force Immediately after Loss

Variable Name

GoSettling Length given Pressure Drop Formula