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Settling Length given Prestressing Force Immediately after Loss Calculator

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Loss due to Anchorage Slip, Friction Loss and General Geometric Properties Loss due to Elastic Shortening

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Force Variation Diagram and Loss Due to Anchorage Slip Friction Loss General Geometric Properties Losses due to Creep and Shrinkage

✖Slip of Anchorage is the distance by which the anchorage gets slipped when the force is transmitted from anchorage to tendon.ⓘ Slip of Anchorage [Δ]			+10% -10%
✖Steel Area in Prestress is the total cross sectional area of tendons.ⓘ Steel Area in Prestress [A_p]			+10% -10%
✖Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness.ⓘ Modulus of Elasticity of Steel Reinforcement [E_s]			+10% -10%
✖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.ⓘ Prestressing force after Immediate Losses [P]			+10% -10%
✖Simplified Term here represents the value which is equal to (μa+kx)/x.ⓘ Simplified Term [η]			+10% -10%

✖Settling Length is the length where the effect of anchorage friction is absent.ⓘ Settling Length given Prestressing Force Immediately after Loss [l_set]

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Settling Length given Prestressing Force Immediately after Loss Solution

STEP 0: Pre-Calculation Summary

Formula Used

Settling Length = sqrt(Slip of Anchorage*Steel Area in Prestress*Modulus of Elasticity of Steel Reinforcement/(Prestressing force after Immediate Losses*Simplified Term))
l_set = sqrt(Δ*A_p*E_s/(P*η))
This formula uses 1 Functions, 6 Variables

Functions Used

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., sqrt(Number)

Variables Used

Settling Length - (Measured in Millimeter) - Settling Length is the length where the effect of anchorage friction is absent.
Slip of Anchorage - (Measured in Millimeter) - Slip of Anchorage is the distance by which the anchorage gets slipped when the force is transmitted from anchorage to tendon.
Steel Area in Prestress - (Measured in Square Millimeter) - Steel Area in Prestress is the total cross sectional area of tendons.
Modulus of Elasticity of Steel Reinforcement - (Measured in Megapascal) - Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness.
Prestressing force after Immediate Losses - (Measured in Kilonewton) - 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.
Simplified Term - Simplified Term here represents the value which is equal to (μa+kx)/x.

STEP 1: Convert Input(s) to Base Unit

Slip of Anchorage: 5 Millimeter --> 5 Millimeter No Conversion Required
Steel Area in Prestress: 0.25 Square Millimeter --> 0.25 Square Millimeter No Conversion Required
Modulus of Elasticity of Steel Reinforcement: 200000 Megapascal --> 200000 Megapascal No Conversion Required
Prestressing force after Immediate Losses: 20.01 Kilonewton --> 20.01 Kilonewton No Conversion Required
Simplified Term: 6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_set = sqrt(Δ*A_p*E_s/(P*η)) --> sqrt(5*0.25*200000/(20.01*6))

Evaluating ... ...

l_set = 45.6321398494495

STEP 3: Convert Result to Output's Unit

0.0456321398494495 Meter --> No Conversion Required

FINAL ANSWER

0.0456321398494495 ≈ 0.045632 Meter <-- Settling Length

(Calculation completed in 00.020 seconds)

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< Force Variation Diagram and Loss Due to Anchorage Slip Calculators

Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered

LaTeX Go Prestressing force after Immediate Losses = (Prestress Force at a Distance/(exp(Simplified Term*Distance from Left End)))+Prestress Drop

Prestressing Force at distance x when Reverse Friction is Considered

LaTeX Go Prestress Force at a Distance = (Prestressing force after Immediate Losses-Prestress Drop)*exp(Simplified Term*Distance from Left End)

Loss of Prestress due to Slip

LaTeX Go Prestressing Force = Tendon Area*(Modulus of Elasticity of Steel Reinforcement*Slip of Anchorage)/Cable Length

Slip of Anchorage

LaTeX Go Slip of Anchorage = Prestressing Force*Cable Length/(Tendon Area*Modulus of Elasticity of Steel Reinforcement)

Settling Length given Prestressing Force Immediately after Loss Formula

LaTeX Go

What is the cause of Wobbling Losses in Post Tensioned Tendons?

At the initial stage, major factors affecting prestress losses are friction loss, anchorage slip, and elastic shortening of the concrete. Friction losses may consist of both intended curvature of the tendons (that is curvature friction) and unintended misalignment of the tendons (that is wobble friction).

When Jacking is done in one end what is the maximum loss?

However, if the total span length is sufficiently long, jacking from both ends should be considered. During prestressing operation at one end, frictional losses will occur and the prestressing force decreases along the length of tendon until reaching the other end.

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

Settling Length given Prestressing Force Immediately after Loss calculator 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 calculate 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 calculate Settling Length given Prestressing Force Immediately after Loss using this online calculator? To use this online calculator 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. Here is how the Settling Length given Prestressing Force Immediately after Loss calculation can be explained with given input values -> 0.045644 = sqrt(0.005*2.5E-07*200000000000/(prestressing_force_po*6)).

FAQ

What is Settling Length given Prestressing Force Immediately after Loss?

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 and is represented as l_set = sqrt(Δ*A_p*E_s/(P*η)) or Settling Length = sqrt(Slip of Anchorage*Steel Area in Prestress*Modulus of Elasticity of Steel Reinforcement/(Prestressing force after Immediate Losses*Simplified Term)). Slip of Anchorage is the distance by which the anchorage gets slipped when the force is transmitted from anchorage to tendon, Steel Area in Prestress is the total cross sectional area of tendons, Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness, 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 & Simplified Term here represents the value which is equal to (μa+kx)/x.

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

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 is calculated using Settling Length = sqrt(Slip of Anchorage*Steel Area in Prestress*Modulus of Elasticity of Steel Reinforcement/(Prestressing force after Immediate Losses*Simplified Term)). To calculate Settling Length given Prestressing Force Immediately after Loss, you need 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). With our tool, you need to enter the respective value for Slip of Anchorage, Steel Area in Prestress, Modulus of Elasticity of Steel Reinforcement, Prestressing force after Immediate Losses & Simplified Term and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Settling Length?

In this formula, Settling Length uses Slip of Anchorage, Steel Area in Prestress, Modulus of Elasticity of Steel Reinforcement, Prestressing force after Immediate Losses & Simplified Term. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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