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Effective Prestress(fpe) when Bond Length for a Prestressed Tendon is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
effective_prestress = -(((Bond Length*4*design bond stress)/Equivalent/Nominal Diameter of Particle)-ultimate prestress)
Pe = -(((L*4*ζbd)/Dp)-fpu)
This formula uses 4 Variables
Variables Used
Bond Length - Bond Length in a diatomic molecule is the distance between center of two molecules(or two masses) (Measured in Centimeter)
design bond stress - design bond stress can be obtained from IS:456 - 2000, Clause 26.2.1.1. (Measured in Newton per Square Millimeter)
Equivalent/Nominal Diameter of Particle - Equivalent/Nominal Diameter of Particle is the diameter of a sphere of equivalent volume. (Measured in Millimeter)
ultimate prestress - ultimate prestress can be represented as the maximum prestress obtained in a tendon (Measured in Newton per Square Meter)
STEP 1: Convert Input(s) to Base Unit
Bond Length: 1 Centimeter --> 0.01 Meter (Check conversion here)
design bond stress: 1.5 Newton per Square Millimeter --> 1500000 Pascal (Check conversion here)
Equivalent/Nominal Diameter of Particle: 10 Millimeter --> 0.01 Meter (Check conversion here)
ultimate prestress: 50 Newton per Square Meter --> 50 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pe = -(((L*4*ζbd)/Dp)-fpu) --> -(((0.01*4*1500000)/0.01)-50)
Evaluating ... ...
Pe = -5999950
STEP 3: Convert Result to Output's Unit
-5999950 Newton -->-5999.95 Kilonewton (Check conversion here)
FINAL ANSWER
-5999.95 Kilonewton <-- Effective prestress
(Calculation completed in 00.031 seconds)

10+ Transmission of Prestress Calculators

Effective Prestress(fpe) when Bond Length for a Prestressed Tendon is given
effective_prestress = -(((Bond Length*4*design bond stress)/Equivalent/Nominal Diameter of Particle)-ultimate prestress) Go
Ultimate Prestress(fpu) when Bond Length for a Prestressed Tendon is given
ultimate_prestress = ((Bond Length*4*design bond stress)/Equivalent/Nominal Diameter of Particle)+Effective prestress Go
Design Bond Stress when Bond Length for a Prestressed Tendon is given
design_bond_stress = (ultimate prestress-Effective prestress)*Equivalent/Nominal Diameter of Particle/(4*Bond Length) Go
Bond Length for a Prestressed Tendon
bond_length = (ultimate prestress-Effective prestress)*Equivalent/Nominal Diameter of Particle/(4*design bond stress) Go
Nominal Diameter of the Tendon when Bond Length is given
nominal_diameter = (Bond Length*4*design bond stress)/(ultimate prestress-Effective prestress) Go
End Zone Reinforcement(Ast) Along Transmission Length
end_zone_reinforcement = (2.5*moment)/(Allowable Stress*Total depth) Go
Moment(M) when End Zone Reinforcement(Ast) is given
moment = (end zone reinforcement*Allowable Stress*Total depth)/2.5 Go
Transmission Length(Lt) when Development Length(Ld) of the Section is given
transmission_length = Development Length-Bond Length Go
Bond Length(Lb) when Development Length(Ld) of the Section is given
bond_length = Development Length-Transmission length Go
Development Length(Ld) of the Section
development_length = Transmission length+Bond Length Go

Effective Prestress(fpe) when Bond Length for a Prestressed Tendon is given Formula

effective_prestress = -(((Bond Length*4*design bond stress)/Equivalent/Nominal Diameter of Particle)-ultimate prestress)
Pe = -(((L*4*ζbd)/Dp)-fpu)

What does bond length mean?

The Bond Length for a Prestressed Tendon is defined as the average distance between nuclei of two bonded atoms in a molecule.

How to Calculate Effective Prestress(fpe) when Bond Length for a Prestressed Tendon is given?

Effective Prestress(fpe) when Bond Length for a Prestressed Tendon is given calculator uses effective_prestress = -(((Bond Length*4*design bond stress)/Equivalent/Nominal Diameter of Particle)-ultimate prestress) to calculate the Effective prestress, The Effective Prestress(fpe) when Bond Length for a Prestressed Tendon is given is the stress remaining in concrete due to prestressing after loss of prestress; includes the effect of the weight of the member. Effective prestress and is denoted by Pe symbol.

How to calculate Effective Prestress(fpe) when Bond Length for a Prestressed Tendon is given using this online calculator? To use this online calculator for Effective Prestress(fpe) when Bond Length for a Prestressed Tendon is given, enter Bond Length (L), design bond stress (ζbd), Equivalent/Nominal Diameter of Particle (Dp) and ultimate prestress (fpu) and hit the calculate button. Here is how the Effective Prestress(fpe) when Bond Length for a Prestressed Tendon is given calculation can be explained with given input values -> -5999.95 = -(((0.01*4*1500000)/0.01)-50).

FAQ

What is Effective Prestress(fpe) when Bond Length for a Prestressed Tendon is given?
The Effective Prestress(fpe) when Bond Length for a Prestressed Tendon is given is the stress remaining in concrete due to prestressing after loss of prestress; includes the effect of the weight of the member and is represented as Pe = -(((L*4*ζbd)/Dp)-fpu) or effective_prestress = -(((Bond Length*4*design bond stress)/Equivalent/Nominal Diameter of Particle)-ultimate prestress). Bond Length in a diatomic molecule is the distance between center of two molecules(or two masses), design bond stress can be obtained from IS:456 - 2000, Clause 26.2.1.1, Equivalent/Nominal Diameter of Particle is the diameter of a sphere of equivalent volume and ultimate prestress can be represented as the maximum prestress obtained in a tendon.
How to calculate Effective Prestress(fpe) when Bond Length for a Prestressed Tendon is given?
The Effective Prestress(fpe) when Bond Length for a Prestressed Tendon is given is the stress remaining in concrete due to prestressing after loss of prestress; includes the effect of the weight of the member is calculated using effective_prestress = -(((Bond Length*4*design bond stress)/Equivalent/Nominal Diameter of Particle)-ultimate prestress). To calculate Effective Prestress(fpe) when Bond Length for a Prestressed Tendon is given, you need Bond Length (L), design bond stress (ζbd), Equivalent/Nominal Diameter of Particle (Dp) and ultimate prestress (fpu). With our tool, you need to enter the respective value for Bond Length, design bond stress, Equivalent/Nominal Diameter of Particle and ultimate prestress 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 Effective prestress?
In this formula, Effective prestress uses Bond Length, design bond stress, Equivalent/Nominal Diameter of Particle and ultimate prestress. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • development_length = Transmission length+Bond Length
  • transmission_length = Development Length-Bond Length
  • bond_length = Development Length-Transmission length
  • bond_length = (ultimate prestress-Effective prestress)*Equivalent/Nominal Diameter of Particle/(4*design bond stress)
  • design_bond_stress = (ultimate prestress-Effective prestress)*Equivalent/Nominal Diameter of Particle/(4*Bond Length)
  • nominal_diameter = (Bond Length*4*design bond stress)/(ultimate prestress-Effective prestress)
  • ultimate_prestress = ((Bond Length*4*design bond stress)/Equivalent/Nominal Diameter of Particle)+Effective prestress
  • effective_prestress = -(((Bond Length*4*design bond stress)/Equivalent/Nominal Diameter of Particle)-ultimate prestress)
  • end_zone_reinforcement = (2.5*moment)/(Allowable Stress*Total depth)
  • moment = (end zone reinforcement*Allowable Stress*Total depth)/2.5
Where is the Effective Prestress(fpe) when Bond Length for a Prestressed Tendon is given calculator used?
Among many, Effective Prestress(fpe) when Bond Length for a Prestressed Tendon is given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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