Pressure Drop given Setting Length Calculator

✖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 [l_set]			+10% -10%

✖Prestress Drop is the drop in applied prestress force due to strain in tendons.ⓘ Pressure Drop given Setting Length [Δf_p]

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Formula

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Pressure Drop given Setting Length

Formula

`"Δf"_{"p"} = 2*"P"*"η"*"l"_{"set"}`

Example

`"9.988992MPa"=2*"20.01kN"*"6"*"41.6m"`

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

Pressure Drop given Setting Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Prestress Drop = 2*Prestressing force after Immediate Losses*Simplified Term*Settling Length
Δf_p = 2*P*η*l_set
This formula uses 4 Variables

Variables Used

Prestress Drop - (Measured in Pascal) - Prestress Drop is the drop in applied prestress force due to strain in tendons.
Prestressing force after Immediate Losses - (Measured in Newton) - 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.
Settling Length - (Measured in Meter) - Settling Length is the length where the effect of anchorage friction is absent.

STEP 1: Convert Input(s) to Base Unit

Prestressing force after Immediate Losses: 20.01 Kilonewton --> 20010 Newton (Check conversion here)
Simplified Term: 6 --> No Conversion Required
Settling Length: 41.6 Meter --> 41.6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δf_p = 2*P*η*l_set --> 2*20010*6*41.6

Evaluating ... ...

Δf_p = 9988992

STEP 3: Convert Result to Output's Unit

9988992 Pascal -->9.988992 Megapascal (Check conversion here)

FINAL ANSWER

9.988992 Megapascal <-- Prestress Drop

(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

Pressure Drop given Setting Length Formula

Prestress Drop = 2*Prestressing force after Immediate Losses*Simplified Term*Settling Length
Δf_p = 2*P*η*l_set

Why Reinforcement is Necessary in Anchorage Zone or end block?

In more post tensioned members, the prestressing wires are introduced in cables holes or ducts. Pre – formed in the members & then stressed & anchored at the end forces. Large forces concentrated over relatively small areas are applied on the end blocks. It is linearly distributed & develop transverse and shear stresses. So that an adequate amount of steel is properly distributed to sustain the transverse tensile stresses.

How to Calculate Pressure Drop given Setting Length?

Pressure Drop given Setting Length calculator uses Prestress Drop = 2*Prestressing force after Immediate Losses*Simplified Term*Settling Length to calculate the Prestress Drop, The Pressure Drop given Setting Length is defined as the prestress change or decrease due to losses in prestress and effect of reverse friction. Prestress Drop is denoted by Δf_p symbol.

How to calculate Pressure Drop given Setting Length using this online calculator? To use this online calculator for Pressure Drop given Setting Length, enter Prestressing force after Immediate Losses (P), Simplified Term (η) & Settling Length (l_set) and hit the calculate button. Here is how the Pressure Drop given Setting Length calculation can be explained with given input values -> 1E-5 = 2*prestressing_force_po*6*41.6.

FAQ

What is Pressure Drop given Setting Length?

The Pressure Drop given Setting Length is defined as the prestress change or decrease due to losses in prestress and effect of reverse friction and is represented as Δf_p = 2*P*η*l_set or Prestress Drop = 2*Prestressing force after Immediate Losses*Simplified Term*Settling Length. 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 & Settling Length is the length where the effect of anchorage friction is absent.

How to calculate Pressure Drop given Setting Length?

The Pressure Drop given Setting Length is defined as the prestress change or decrease due to losses in prestress and effect of reverse friction is calculated using Prestress Drop = 2*Prestressing force after Immediate Losses*Simplified Term*Settling Length. To calculate Pressure Drop given Setting Length, you need Prestressing force after Immediate Losses (P), Simplified Term (η) & Settling Length (l_set). With our tool, you need to enter the respective value for Prestressing force after Immediate Losses, Simplified Term & 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 Prestressing force after Immediate Losses, Simplified Term & Settling Length. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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