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Anchorage Slip given Settling Length 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

✖Prestress Drop is the drop in applied prestress force due to strain in tendons.ⓘ Prestress Drop [Δf_p]			+10% -10%
✖Settling Length is the length where the effect of anchorage friction is absent.ⓘ Settling Length [l_set]			+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%

✖Slip of Anchorage is the distance by which the anchorage gets slipped when the force is transmitted from anchorage to tendon.ⓘ Anchorage Slip given Settling Length [Δ]

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Anchorage Slip given Settling Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slip of Anchorage = 0.5*Prestress Drop*Settling Length/(Steel Area in Prestress*Modulus of Elasticity of Steel Reinforcement)
Δ = 0.5*Δf_p*l_set/(A_p*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.
Prestress Drop - (Measured in Megapascal) - Prestress Drop is the drop in applied prestress force due to strain in tendons.
Settling Length - (Measured in Millimeter) - Settling Length is the length where the effect of anchorage friction is absent.
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.

STEP 1: Convert Input(s) to Base Unit

Prestress Drop: 10 Megapascal --> 10 Megapascal No Conversion Required
Settling Length: 41.6 Meter --> 41600 Millimeter (Check conversion here)
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δ = 0.5*Δf_p*l_set/(A_p*E_s) --> 0.5*10*41600/(0.25*200000)

Evaluating ... ...

Δ = 4.16

STEP 3: Convert Result to Output's Unit

0.00416 Meter -->4.16 Millimeter (Check conversion here)

FINAL ANSWER

4.16 Millimeter <-- Slip of Anchorage

(Calculation completed in 00.004 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)

Anchorage Slip given Settling Length Formula

LaTeX Go

Slip of Anchorage = 0.5*Prestress Drop*Settling Length/(Steel Area in Prestress*Modulus of Elasticity of Steel Reinforcement)
Δ = 0.5*Δf_p*l_set/(A_p*E_s)

What is Settling Length?

Due to the setting of the anchorage block, as the tendon shortens, there is a reverse
friction. Hence, the effect of anchorage slip is present up to a certain length. This length is referred as settling length (lset). Beyond settling length, the effect is absent.

How to Calculate Anchorage Slip given Settling Length?

Anchorage Slip given Settling Length calculator uses Slip of Anchorage = 0.5*Prestress Drop*Settling Length/(Steel Area in Prestress*Modulus of Elasticity of Steel Reinforcement) to calculate the Slip of Anchorage, The Anchorage Slip given Settling Length is defined as the distance a ship moves backward while its anchor settles to secure it, measured from the anchor's touchdown point. Slip of Anchorage is denoted by Δ symbol.

How to calculate Anchorage Slip given Settling Length using this online calculator? To use this online calculator for Anchorage Slip given Settling Length, enter Prestress Drop (Δf_p), Settling Length (l_set), Steel Area in Prestress (A_p) & Modulus of Elasticity of Steel Reinforcement (E_s) and hit the calculate button. Here is how the Anchorage Slip given Settling Length calculation can be explained with given input values -> 5000 = 0.5*10000000*41.6/(2.5E-07*200000000000).

FAQ

What is Anchorage Slip given Settling Length?

The Anchorage Slip given Settling Length is defined as the distance a ship moves backward while its anchor settles to secure it, measured from the anchor's touchdown point and is represented as Δ = 0.5*Δf_p*l_set/(A_p*E_s) or Slip of Anchorage = 0.5*Prestress Drop*Settling Length/(Steel Area in Prestress*Modulus of Elasticity of Steel Reinforcement). Prestress Drop is the drop in applied prestress force due to strain in tendons, Settling Length is the length where the effect of anchorage friction is absent, Steel Area in Prestress is the total cross sectional area of tendons & Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness.

How to calculate Anchorage Slip given Settling Length?

The Anchorage Slip given Settling Length is defined as the distance a ship moves backward while its anchor settles to secure it, measured from the anchor's touchdown point is calculated using Slip of Anchorage = 0.5*Prestress Drop*Settling Length/(Steel Area in Prestress*Modulus of Elasticity of Steel Reinforcement). To calculate Anchorage Slip given Settling Length, you need Prestress Drop (Δf_p), Settling Length (l_set), Steel Area in Prestress (A_p) & Modulus of Elasticity of Steel Reinforcement (E_s). With our tool, you need to enter the respective value for Prestress Drop, Settling Length, Steel Area in Prestress & 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 Prestress Drop, Settling Length, Steel Area in Prestress & 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 = Prestressing Force*Cable Length/(Tendon Area*Modulus of Elasticity of Steel Reinforcement)

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