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Pressure Drop when Anchorage Slip and Settling Length are Considered 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%
✖Settling Length is the length where the effect of anchorage friction is absent.ⓘ Settling Length [l_set]			+10% -10%

✖Prestress Drop is the drop in applied prestress force due to strain in tendons.ⓘ Pressure Drop when Anchorage Slip and Settling Length are Considered [Δf_p]

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Pressure Drop when Anchorage Slip and Settling Length are Considered Solution

STEP 0: Pre-Calculation Summary

Formula Used

Prestress Drop = (Slip of Anchorage*Steel Area in Prestress*Modulus of Elasticity of Steel Reinforcement)/(Settling Length*0.5)
Δf_p = (Δ*A_p*E_s)/(l_set*0.5)
This formula uses 5 Variables

Variables Used

Prestress Drop - (Measured in Megapascal) - Prestress Drop is the drop in applied prestress force due to strain in tendons.
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.
Settling Length - (Measured in Millimeter) - Settling Length is the length where the effect of anchorage friction is absent.

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
Settling Length: 41.6 Meter --> 41600 Millimeter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δf_p = (Δ*A_p*E_s)/(l_set*0.5) --> (5*0.25*200000)/(41600*0.5)

Evaluating ... ...

Δf_p = 12.0192307692308

STEP 3: Convert Result to Output's Unit

12019230.7692308 Pascal -->12.0192307692308 Megapascal (Check conversion here)

FINAL ANSWER

12.0192307692308 ≈ 12.01923 Megapascal <-- Prestress Drop

(Calculation completed in 00.020 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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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)

Pressure Drop when Anchorage Slip and Settling Length are Considered Formula

LaTeX Go

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

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.

What is wobble effect in prestressed concrete?

If the profile of cable is linear, the loss will be due to straightening or stretching of the cables called Wobble Effect. If the profile is curved, there will be loss in stress due to friction between tendon and the duct or between the tendons themselves.

How to Calculate Pressure Drop when Anchorage Slip and Settling Length are Considered?

Pressure Drop when Anchorage Slip and Settling Length are Considered calculator uses Prestress Drop = (Slip of Anchorage*Steel Area in Prestress*Modulus of Elasticity of Steel Reinforcement)/(Settling Length*0.5) to calculate the Prestress Drop, The Pressure Drop when Anchorage Slip and Settling Length are Considered is defined as the drop in prestress force when the friction and wobble effects are considered along with the slip in anchorage. Prestress Drop is denoted by Δf_p symbol.

How to calculate Pressure Drop when Anchorage Slip and Settling Length are Considered using this online calculator? To use this online calculator for Pressure Drop when Anchorage Slip and Settling Length are Considered, enter Slip of Anchorage (Δ), Steel Area in Prestress (A_p), Modulus of Elasticity of Steel Reinforcement (E_s) & Settling Length (l_set) and hit the calculate button. Here is how the Pressure Drop when Anchorage Slip and Settling Length are Considered calculation can be explained with given input values -> 1E-5 = (0.005*2.5E-07*200000000000)/(41.6*0.5).

FAQ

What is Pressure Drop when Anchorage Slip and Settling Length are Considered?

The Pressure Drop when Anchorage Slip and Settling Length are Considered is defined as the drop in prestress force when the friction and wobble effects are considered along with the slip in anchorage and is represented as Δf_p = (Δ*A_p*E_s)/(l_set*0.5) or Prestress Drop = (Slip of Anchorage*Steel Area in Prestress*Modulus of Elasticity of Steel Reinforcement)/(Settling Length*0.5). 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 & Settling Length is the length where the effect of anchorage friction is absent.

How to calculate Pressure Drop when Anchorage Slip and Settling Length are Considered?

The Pressure Drop when Anchorage Slip and Settling Length are Considered is defined as the drop in prestress force when the friction and wobble effects are considered along with the slip in anchorage is calculated using Prestress Drop = (Slip of Anchorage*Steel Area in Prestress*Modulus of Elasticity of Steel Reinforcement)/(Settling Length*0.5). To calculate Pressure Drop when Anchorage Slip and Settling Length are Considered, you need Slip of Anchorage (Δ), Steel Area in Prestress (A_p), Modulus of Elasticity of Steel Reinforcement (E_s) & Settling Length (l_set). With our tool, you need to enter the respective value for Slip of Anchorage, Steel Area in Prestress, Modulus of Elasticity of Steel Reinforcement & Settling Length 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 Prestress Drop?

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

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

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