Settling Length given Pressure Drop Solution

STEP 0: Pre-Calculation Summary
Formula Used
Settling Length = Prestress Drop/(2*Simplified Term*Prestressing force after Immediate Losses)
lset = Δfp/(2*η*P)
This formula uses 4 Variables
Variables Used
Settling Length - (Measured in Meter) - Settling Length is the length where the effect of anchorage friction is absent.
Prestress Drop - (Measured in Pascal) - 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.
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.
STEP 1: Convert Input(s) to Base Unit
Prestress Drop: 10 Megapascal --> 10000000 Pascal (Check conversion here)
Simplified Term: 6 --> No Conversion Required
Prestressing force after Immediate Losses: 20.01 Kilonewton --> 20010 Newton (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
lset = Δfp/(2*η*P) --> 10000000/(2*6*20010)
Evaluating ... ...
lset = 41.6458437447943
STEP 3: Convert Result to Output's Unit
41.6458437447943 Meter --> No Conversion Required
FINAL ANSWER
41.6458437447943 41.64584 Meter <-- Settling Length
(Calculation completed in 00.020 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

Settling Length given Pressure Drop Formula

Settling Length = Prestress Drop/(2*Simplified Term*Prestressing force after Immediate Losses)
lset = Δfp/(2*η*P)

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.

How to Calculate Settling Length given Pressure Drop?

Settling Length given Pressure Drop calculator uses Settling Length = Prestress Drop/(2*Simplified Term*Prestressing force after Immediate Losses) to calculate the Settling Length, The Settling Length given Pressure Drop is defined as the equation to find out length of beam from which effect of anchorage slip is absent. Settling Length is denoted by lset symbol.

How to calculate Settling Length given Pressure Drop using this online calculator? To use this online calculator for Settling Length given Pressure Drop, enter Prestress Drop (Δfp), Simplified Term (η) & Prestressing force after Immediate Losses (P) and hit the calculate button. Here is how the Settling Length given Pressure Drop calculation can be explained with given input values -> 41.66667 = 10000000/(2*6*prestressing_force_po).

FAQ

What is Settling Length given Pressure Drop?
The Settling Length given Pressure Drop is defined as the equation to find out length of beam from which effect of anchorage slip is absent and is represented as lset = Δfp/(2*η*P) or Settling Length = Prestress Drop/(2*Simplified Term*Prestressing force after Immediate Losses). 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 & 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.
How to calculate Settling Length given Pressure Drop?
The Settling Length given Pressure Drop is defined as the equation to find out length of beam from which effect of anchorage slip is absent is calculated using Settling Length = Prestress Drop/(2*Simplified Term*Prestressing force after Immediate Losses). To calculate Settling Length given Pressure Drop, you need Prestress Drop (Δfp), Simplified Term (η) & Prestressing force after Immediate Losses (P). With our tool, you need to enter the respective value for Prestress Drop, Simplified Term & Prestressing force after Immediate Losses 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 Settling Length?
In this formula, Settling Length uses Prestress Drop, Simplified Term & Prestressing force after Immediate Losses. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Settling Length = sqrt(Slip of Anchorage*Steel Area in Prestress*Modulus of Elasticity of Steel Reinforcement/(Prestressing force after Immediate Losses*Simplified Term))
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