Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered Calculator

✖Prestress Force at a Distance refers to the force on prestressed section at a distance x from stretching end.ⓘ Prestress Force at a Distance [P_x]			+10% -10%
✖Simplified Term here represents the value which is equal to (μa+kx)/x.ⓘ Simplified Term [η]			+10% -10%
✖Distance from Left End is the distance considered from the left jacking end on a prestressed member.ⓘ Distance from Left End [x]			+10% -10%
✖Prestress Drop is the drop in applied prestress force due to strain in tendons.ⓘ Prestress Drop [Δf_p]			+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 Loss when Reverse Friction Effect is Considered [P]

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Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered

Formula

`"P" = ("P"_{"x"}/(exp("η"*"x")))+"Δf"_{"p"}`

Example

`"0.01kN"=("96kN"/(exp("6"*"10.1mm")))+"10MPa"`

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Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered Solution

STEP 0: Pre-Calculation Summary

Formula Used

Prestressing force after Immediate Losses = (Prestress Force at a Distance/(exp(Simplified Term*Distance from Left End)))+Prestress Drop
P = (P_x/(exp(η*x)))+Δf_p
This formula uses 1 Functions, 5 Variables

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

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.
Prestress Force at a Distance - (Measured in Newton) - Prestress Force at a Distance refers to the force on prestressed section at a distance x from stretching end.
Simplified Term - Simplified Term here represents the value which is equal to (μa+kx)/x.
Distance from Left End - (Measured in Millimeter) - Distance from Left End is the distance considered from the left jacking end on a prestressed member.
Prestress Drop - (Measured in Megapascal) - Prestress Drop is the drop in applied prestress force due to strain in tendons.

STEP 1: Convert Input(s) to Base Unit

Prestress Force at a Distance: 96 Kilonewton --> 96000 Newton (Check conversion here)
Simplified Term: 6 --> No Conversion Required
Distance from Left End: 10.1 Millimeter --> 10.1 Millimeter No Conversion Required
Prestress Drop: 10 Megapascal --> 10 Megapascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (P_x/(exp(η*x)))+Δf_p --> (96000/(exp(6*10.1)))+10

Evaluating ... ...

P = 10

STEP 3: Convert Result to Output's Unit

10 Newton -->0.01 Kilonewton (Check conversion here)

FINAL ANSWER

0.01 Kilonewton <-- Prestressing force after Immediate Losses

(Calculation completed in 00.004 seconds)

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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

Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered Formula

Prestressing force after Immediate Losses = (Prestress Force at a Distance/(exp(Simplified Term*Distance from Left End)))+Prestress Drop
P = (P_x/(exp(η*x)))+Δf_p

What is Partial Prestressing?

Under the working load, if the cross section is subjected to no tension after prestressing then it is known as fully prestressed. Similarly under working loads even after the pretsress is applied if there is some tension,it is known as partial prestressing . Normally the tension portion is reinforced with mild steel reinforcement. This un-tensioned reinforcement is required so as to resist differential shrinkage temperature effects and handling stresses.

How to Calculate Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered?

Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered calculator uses Prestressing force after Immediate Losses = (Prestress Force at a Distance/(exp(Simplified Term*Distance from Left End)))+Prestress Drop to calculate the Prestressing force after Immediate Losses, The Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered is defined as the equation to find out the prestressing force after immediate loss when effect of reverse friction and settling lengths are considered. Prestressing force after Immediate Losses is denoted by P symbol.

How to calculate Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered using this online calculator? To use this online calculator for Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered, enter Prestress Force at a Distance (P_x), Simplified Term (η), Distance from Left End (x) & Prestress Drop (Δf_p) and hit the calculate button. Here is how the Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered calculation can be explained with given input values -> 1E-5 = (96000/(exp(6*0.0101)))+10000000.

FAQ

What is Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered?

The Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered is defined as the equation to find out the prestressing force after immediate loss when effect of reverse friction and settling lengths are considered and is represented as P = (P_x/(exp(η*x)))+Δf_p or Prestressing force after Immediate Losses = (Prestress Force at a Distance/(exp(Simplified Term*Distance from Left End)))+Prestress Drop. Prestress Force at a Distance refers to the force on prestressed section at a distance x from stretching end, Simplified Term here represents the value which is equal to (μa+kx)/x, Distance from Left End is the distance considered from the left jacking end on a prestressed member & Prestress Drop is the drop in applied prestress force due to strain in tendons.

How to calculate Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered?

The Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered is defined as the equation to find out the prestressing force after immediate loss when effect of reverse friction and settling lengths are considered is calculated using Prestressing force after Immediate Losses = (Prestress Force at a Distance/(exp(Simplified Term*Distance from Left End)))+Prestress Drop. To calculate Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered, you need Prestress Force at a Distance (P_x), Simplified Term (η), Distance from Left End (x) & Prestress Drop (Δf_p). With our tool, you need to enter the respective value for Prestress Force at a Distance, Simplified Term, Distance from Left End & Prestress Drop and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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