Slip of Anchorage Calculator

✖Prestressing Force is the force internally applied to the prestressed concrete section.ⓘ Prestressing Force [F]			+10% -10%
✖Cable Length is the length of tendon used for prestressing in the concrete section.ⓘ Cable Length [PL_Cable]			+10% -10%
✖Tendon Area represents the cross section area of the cable used for prestressing.ⓘ Tendon Area [A_Tendon]			+10% -10%
✖Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness.ⓘ Modulus of Elasticity of Steel Reinforcement [E_s]			+10% -10%

✖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]

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Formula

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Slip of Anchorage

Formula

`"Δ" = "F"*"PL"_{"Cable"}/("A"_{"Tendon"}*"E"_{"s"})`

Example

`"0.000477mm"="400kN"*"50.1m"/("0.21mm²"*"200000MPa")`

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Download Loss due to Anchorage Slip, Friction Loss and General Geometric Properties Formulas PDF

Slip of Anchorage Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slip of Anchorage = Prestressing Force*Cable Length/(Tendon Area*Modulus of Elasticity of Steel Reinforcement)
Δ = F*PL_Cable/(A_Tendon*E_s)
This formula uses 5 Variables

Variables Used

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.
Prestressing Force - (Measured in Kilonewton) - Prestressing Force is the force internally applied to the prestressed concrete section.
Cable Length - (Measured in Millimeter) - Cable Length is the length of tendon used for prestressing in the concrete section.
Tendon Area - (Measured in Square Millimeter) - Tendon Area represents the cross section area of the cable used for prestressing.
Modulus of Elasticity of Steel Reinforcement - (Measured in Pascal) - Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness.

STEP 1: Convert Input(s) to Base Unit

Prestressing Force: 400 Kilonewton --> 400 Kilonewton No Conversion Required
Cable Length: 50.1 Meter --> 50100 Millimeter (Check conversion here)
Tendon Area: 0.21 Square Millimeter --> 0.21 Square Millimeter No Conversion Required
Modulus of Elasticity of Steel Reinforcement: 200000 Megapascal --> 200000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δ = F*PL_Cable/(A_Tendon*E_s) --> 400*50100/(0.21*200000000000)

Evaluating ... ...

Δ = 0.000477142857142857

STEP 3: Convert Result to Output's Unit

4.77142857142857E-07 Meter -->0.000477142857142857 Millimeter (Check conversion here)

FINAL ANSWER

0.000477142857142857 ≈ 0.000477 Millimeter <-- Slip of Anchorage

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< 10+ Force Variation Diagram and Loss Due to Anchorage Slip Calculators

Settling Length given Prestressing Force Immediately after Loss

Go Settling Length = sqrt(Slip of Anchorage*Steel Area in Prestress*Modulus of Elasticity of Steel Reinforcement/(Prestressing force after Immediate Losses*Simplified Term))

Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered

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

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

Pressure Drop when Anchorage Slip and Settling Length are Considered

Go Prestress Drop = (Slip of Anchorage*Steel Area in Prestress*Modulus of Elasticity of Steel Reinforcement)/(Settling Length*0.5)

Area of Prestressing Steel given Settling Length

Go Steel Area in Prestress = 0.5*Prestress Drop*Settling Length/(Slip of Anchorage*Modulus of Elasticity of Steel Reinforcement)

Anchorage Slip given Settling Length

Go Slip of Anchorage = 0.5*Prestress Drop*Settling Length/(Steel Area in Prestress*Modulus of Elasticity of Steel Reinforcement)

Loss of Prestress due to Slip

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

Slip of Anchorage

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

Settling Length given Pressure Drop

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

Pressure Drop given Setting Length

Go Prestress Drop = 2*Prestressing force after Immediate Losses*Simplified Term*Settling Length

Slip of Anchorage Formula

Slip of Anchorage = Prestressing Force*Cable Length/(Tendon Area*Modulus of Elasticity of Steel Reinforcement)
Δ = F*PL_Cable/(A_Tendon*E_s)

What is loss due to Slip of Anchorage?

Anchorage slip is the distance moved by the friction wedges (in post tensioned members) after releasing the jacks at the ends of the member and before the wires get fixed perfectly in wedges, the loss during anchoring which occurs with wedge type grips is normally allowed for on the site by over-extending.

How to Calculate Slip of Anchorage?

Slip of Anchorage calculator uses Slip of Anchorage = Prestressing Force*Cable Length/(Tendon Area*Modulus of Elasticity of Steel Reinforcement) to calculate the Slip of Anchorage, The Slip of Anchorage is defined as the length slipped away by the wedge. The total anchorage slip depends on the type of anchorage system. Slip of Anchorage is denoted by Δ symbol.

How to calculate Slip of Anchorage using this online calculator? To use this online calculator for Slip of Anchorage, enter Prestressing Force (F), Cable Length (PL_Cable), Tendon Area (A_Tendon) & Modulus of Elasticity of Steel Reinforcement (E_s) and hit the calculate button. Here is how the Slip of Anchorage calculation can be explained with given input values -> 0.501 = 400000*50.1/(2.1E-07*200000000000).

FAQ

What is Slip of Anchorage?

The Slip of Anchorage is defined as the length slipped away by the wedge. The total anchorage slip depends on the type of anchorage system and is represented as Δ = F*PL_Cable/(A_Tendon*E_s) or Slip of Anchorage = Prestressing Force*Cable Length/(Tendon Area*Modulus of Elasticity of Steel Reinforcement). Prestressing Force is the force internally applied to the prestressed concrete section, Cable Length is the length of tendon used for prestressing in the concrete section, Tendon Area represents the cross section area of the cable used for prestressing & Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness.

How to calculate Slip of Anchorage?

The Slip of Anchorage is defined as the length slipped away by the wedge. The total anchorage slip depends on the type of anchorage system is calculated using Slip of Anchorage = Prestressing Force*Cable Length/(Tendon Area*Modulus of Elasticity of Steel Reinforcement). To calculate Slip of Anchorage, you need Prestressing Force (F), Cable Length (PL_Cable), Tendon Area (A_Tendon) & Modulus of Elasticity of Steel Reinforcement (E_s). With our tool, you need to enter the respective value for Prestressing Force, Cable Length, Tendon Area & Modulus of Elasticity of Steel Reinforcement 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 Slip of Anchorage?

In this formula, Slip of Anchorage uses Prestressing Force, Cable Length, Tendon Area & Modulus of Elasticity of Steel Reinforcement. We can use 1 other way(s) to calculate the same, which is/are as follows -

Slip of Anchorage = 0.5*Prestress Drop*Settling Length/(Steel Area in Prestress*Modulus of Elasticity of Steel Reinforcement)

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