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Bond Length for a Prestressed Tendon Solution

STEP 0: Pre-Calculation Summary
Formula Used
bond_length = (ultimate prestress-Effective prestress)*Equivalent/Nominal Diameter of Particle/(4*design bond stress)
L = (fpu-Pe)*Dp/(4*ζbd)
This formula uses 4 Variables
Variables Used
ultimate prestress - ultimate prestress can be represented as the maximum prestress obtained in a tendon (Measured in Newton per Square Meter)
Effective prestress - Effective prestress is the prestress remaining in the concrete after the loss of prestress. (Measured in Kilonewton)
Equivalent/Nominal Diameter of Particle - Equivalent/Nominal Diameter of Particle is the diameter of a sphere of equivalent volume. (Measured in Millimeter)
design bond stress - design bond stress can be obtained from IS:456 - 2000, Clause 26.2.1.1. (Measured in Newton per Square Millimeter)
STEP 1: Convert Input(s) to Base Unit
ultimate prestress: 50 Newton per Square Meter --> 50 Pascal (Check conversion here)
Effective prestress: 20 Kilonewton --> 20000 Newton (Check conversion here)
Equivalent/Nominal Diameter of Particle: 10 Millimeter --> 0.01 Meter (Check conversion here)
design bond stress: 1.5 Newton per Square Millimeter --> 1500000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = (fpu-Pe)*Dp/(4*ζbd) --> (50-20000)*0.01/(4*1500000)
Evaluating ... ...
L = -3.325E-05
STEP 3: Convert Result to Output's Unit
-3.325E-05 Meter -->-0.003325 Centimeter (Check conversion here)
FINAL ANSWER
-0.003325 Centimeter <-- Bond Length
(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

Bond Length for a Prestressed Tendon Formula

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

What does effective prestress mean?

Effective Prestress is the stress remaining in concrete due to prestressing after loss of prestress; includes the effect of the weight of the member

How to Calculate Bond Length for a Prestressed Tendon?

Bond Length for a Prestressed Tendon calculator uses bond_length = (ultimate prestress-Effective prestress)*Equivalent/Nominal Diameter of Particle/(4*design bond stress) to calculate the Bond Length, The Bond Length for a Prestressed Tendon is defined as the average distance between nuclei of two bonded atoms in a molecule. Bond Length and is denoted by L symbol.

How to calculate Bond Length for a Prestressed Tendon using this online calculator? To use this online calculator for Bond Length for a Prestressed Tendon, enter ultimate prestress (fpu), Effective prestress (Pe), Equivalent/Nominal Diameter of Particle (Dp) and design bond stress (ζbd) and hit the calculate button. Here is how the Bond Length for a Prestressed Tendon calculation can be explained with given input values -> -0.003325 = (50-20000)*0.01/(4*1500000).

FAQ

What is Bond Length for a Prestressed Tendon?
The Bond Length for a Prestressed Tendon is defined as the average distance between nuclei of two bonded atoms in a molecule and is represented as L = (fpu-Pe)*Dp/(4*ζbd) or bond_length = (ultimate prestress-Effective prestress)*Equivalent/Nominal Diameter of Particle/(4*design bond stress). ultimate prestress can be represented as the maximum prestress obtained in a tendon, Effective prestress is the prestress remaining in the concrete after the loss of prestress, Equivalent/Nominal Diameter of Particle is the diameter of a sphere of equivalent volume and design bond stress can be obtained from IS:456 - 2000, Clause 26.2.1.1.
How to calculate Bond Length for a Prestressed Tendon?
The Bond Length for a Prestressed Tendon is defined as the average distance between nuclei of two bonded atoms in a molecule is calculated using bond_length = (ultimate prestress-Effective prestress)*Equivalent/Nominal Diameter of Particle/(4*design bond stress). To calculate Bond Length for a Prestressed Tendon, you need ultimate prestress (fpu), Effective prestress (Pe), Equivalent/Nominal Diameter of Particle (Dp) and design bond stress (ζbd). With our tool, you need to enter the respective value for ultimate prestress, Effective prestress, Equivalent/Nominal Diameter of Particle and design bond stress 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 Bond Length?
In this formula, Bond Length uses ultimate prestress, Effective prestress, Equivalent/Nominal Diameter of Particle and design bond stress. 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 Bond Length for a Prestressed Tendon calculator used?
Among many, Bond Length for a Prestressed Tendon calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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