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Prestressing Force at distance x when Reverse Friction is Considered Calculator

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✖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%
✖Prestress Drop is the drop in applied prestress force due to strain in tendons.ⓘ Prestress Drop [Δf_p]			+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 Force at a Distance refers to the force on prestressed section at a distance x from stretching end.ⓘ Prestressing Force at distance x when Reverse Friction is Considered [P_x]

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Prestressing Force at distance x when Reverse Friction is Considered Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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

STEP 1: Convert Input(s) to Base Unit

Prestressing force after Immediate Losses: 20.01 Kilonewton --> 20010 Newton (Check conversion here)
Prestress Drop: 10 Megapascal --> 10 Megapascal No Conversion Required
Simplified Term: 6 --> No Conversion Required
Distance from Left End: 10.1 Millimeter --> 0.0101 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_x = (P-Δf_p)*exp(η*x) --> (20010-10)*exp(6*0.0101)

Evaluating ... ...

P_x = 21249.4767928419

STEP 3: Convert Result to Output's Unit

21249.4767928419 Newton -->21.2494767928419 Kilonewton (Check conversion here)

FINAL ANSWER

21.2494767928419 ≈ 21.24948 Kilonewton <-- Prestress Force at a Distance

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Structural Engineering » Prestressed Concrete » Losses of Prestress » Loss due to Anchorage Slip, Friction Loss and General Geometric Properties » Force Variation Diagram and Loss Due to Anchorage Slip » Prestressing Force at distance x when Reverse Friction is Considered

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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)

Prestressing Force at distance x when Reverse Friction is Considered Formula

LaTeX Go

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

What is Total Friction in Prestressed Concrete?

The Total Friction is the sum of:
– Curvature friction due to imposed curvature.
– Wobble friction, due to unintentional misalignment, even in straight tendons.

How to Calculate Prestressing Force at distance x when Reverse Friction is Considered?

Prestressing Force at distance x when Reverse Friction is Considered calculator uses Prestress Force at a Distance = (Prestressing force after Immediate Losses-Prestress Drop)*exp(Simplified Term*Distance from Left End) to calculate the Prestress Force at a Distance, The Prestressing Force at distance x when Reverse Friction is Considered is defined as the equation to find out the prestressing force at a distance x away from the stretching end of section or beam. Prestress Force at a Distance is denoted by P_x symbol.

How to calculate Prestressing Force at distance x when Reverse Friction is Considered using this online calculator? To use this online calculator for Prestressing Force at distance x when Reverse Friction is Considered, enter Prestressing force after Immediate Losses (P), Prestress Drop (Δf_p), Simplified Term (η) & Distance from Left End (x) and hit the calculate button. Here is how the Prestressing Force at distance x when Reverse Friction is Considered calculation can be explained with given input values -> 0.021239 = (prestressing_force_po-10000000)*exp(6*0.0101).

FAQ

What is Prestressing Force at distance x when Reverse Friction is Considered?

The Prestressing Force at distance x when Reverse Friction is Considered is defined as the equation to find out the prestressing force at a distance x away from the stretching end of section or beam and is represented as P_x = (P-Δf_p)*exp(η*x) or Prestress Force at a Distance = (Prestressing force after Immediate Losses-Prestress Drop)*exp(Simplified Term*Distance from Left End). 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 Drop is the drop in applied prestress force due to strain in tendons, 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.

How to calculate Prestressing Force at distance x when Reverse Friction is Considered?

The Prestressing Force at distance x when Reverse Friction is Considered is defined as the equation to find out the prestressing force at a distance x away from the stretching end of section or beam is calculated using Prestress Force at a Distance = (Prestressing force after Immediate Losses-Prestress Drop)*exp(Simplified Term*Distance from Left End). To calculate Prestressing Force at distance x when Reverse Friction is Considered, you need Prestressing force after Immediate Losses (P), Prestress Drop (Δf_p), Simplified Term (η) & Distance from Left End (x). With our tool, you need to enter the respective value for Prestressing force after Immediate Losses, Prestress Drop, Simplified Term & Distance from Left End 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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