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National Institute of Technology (NIT), Warangal
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## Nominal Diameter of the Tendon when Bond Length is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
nominal_diameter = (Bond Length*4*design bond stress)/(ultimate prestress-Effective prestress)
Dp = (L*4*ζbd)/(fpu-Pe)
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)
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)
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)
ultimate prestress: 50 Newton per Square Meter --> 50 Pascal (Check conversion here)
Effective prestress: 20 Kilonewton --> 20000 Newton (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Dp = (L*4*ζbd)/(fpu-Pe) --> (0.01*4*1500000)/(50-20000)
Evaluating ... ...
Dp = -3.00751879699248
STEP 3: Convert Result to Output's Unit
-3.00751879699248 Meter -->-3007.51879699248 Millimeter (Check conversion here)
FINAL ANSWER
-3007.51879699248 Millimeter <-- Equivalent/Nominal Diameter of Particle
(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

### Nominal Diameter of the Tendon when Bond Length is given Formula

nominal_diameter = (Bond Length*4*design bond stress)/(ultimate prestress-Effective prestress)
Dp = (L*4*ζbd)/(fpu-Pe)

## 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 Nominal Diameter of the Tendon when Bond Length is given?

Nominal Diameter of the Tendon when Bond Length is given calculator uses nominal_diameter = (Bond Length*4*design bond stress)/(ultimate prestress-Effective prestress) to calculate the Equivalent/Nominal Diameter of Particle, The Nominal Diameter of the Tendon when Bond Length is given is also known as the mean or average outside diameter of the reinforcement. Equivalent/Nominal Diameter of Particle and is denoted by Dp symbol.

How to calculate Nominal Diameter of the Tendon when Bond Length is given using this online calculator? To use this online calculator for Nominal Diameter of the Tendon when Bond Length is given, enter Bond Length (L), design bond stress (ζbd), ultimate prestress (fpu) and Effective prestress (Pe) and hit the calculate button. Here is how the Nominal Diameter of the Tendon when Bond Length is given calculation can be explained with given input values -> -3007.518797 = (0.01*4*1500000)/(50-20000).

### FAQ

What is Nominal Diameter of the Tendon when Bond Length is given?
The Nominal Diameter of the Tendon when Bond Length is given is also known as the mean or average outside diameter of the reinforcement and is represented as Dp = (L*4*ζbd)/(fpu-Pe) or nominal_diameter = (Bond Length*4*design bond stress)/(ultimate prestress-Effective 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, ultimate prestress can be represented as the maximum prestress obtained in a tendon and Effective prestress is the prestress remaining in the concrete after the loss of prestress.
How to calculate Nominal Diameter of the Tendon when Bond Length is given?
The Nominal Diameter of the Tendon when Bond Length is given is also known as the mean or average outside diameter of the reinforcement is calculated using nominal_diameter = (Bond Length*4*design bond stress)/(ultimate prestress-Effective prestress). To calculate Nominal Diameter of the Tendon when Bond Length is given, you need Bond Length (L), design bond stress (ζbd), ultimate prestress (fpu) and Effective prestress (Pe). With our tool, you need to enter the respective value for Bond Length, design bond stress, ultimate prestress and Effective 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 Equivalent/Nominal Diameter of Particle?
In this formula, Equivalent/Nominal Diameter of Particle uses Bond Length, design bond stress, ultimate prestress and Effective 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 Nominal Diameter of the Tendon when Bond Length is given calculator used?
Among many, Nominal Diameter of the Tendon when Bond Length is given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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