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)
Px = (P-Δfp)*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
Px = (P-Δfp)*exp(η*x) --> (20010-10)*exp(6*0.0101)
Evaluating ... ...
Px = 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 00.020 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)

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)
Px = (P-Δfp)*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 Px 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 (Δfp), 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 Px = (P-Δfp)*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 (Δfp), 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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