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Ultimate Prestress(fpu) when Bond Length for a Prestressed Tendon is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
ultimate_prestress = ((Bond Length*4*design bond stress)/Equivalent/Nominal Diameter of Particle)+Effective prestress
fpu = ((L*4*ζbd)/Dp)+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)
Equivalent/Nominal Diameter of Particle - Equivalent/Nominal Diameter of Particle is the diameter of a sphere of equivalent volume. (Measured in Millimeter)
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)
Equivalent/Nominal Diameter of Particle: 10 Millimeter --> 0.01 Meter (Check conversion here)
Effective prestress: 20 Kilonewton --> 20000 Newton (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fpu = ((L*4*ζbd)/Dp)+Pe --> ((0.01*4*1500000)/0.01)+20000
Evaluating ... ...
fpu = 6020000
STEP 3: Convert Result to Output's Unit
6020000 Pascal -->6020000 Newton per Square Meter (Check conversion here)
FINAL ANSWER
6020000 Newton per Square Meter <-- ultimate prestress
(Calculation completed in 00.073 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

Ultimate Prestress(fpu) when Bond Length for a Prestressed Tendon is given Formula

ultimate_prestress = ((Bond Length*4*design bond stress)/Equivalent/Nominal Diameter of Particle)+Effective prestress
fpu = ((L*4*ζbd)/Dp)+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 Ultimate Prestress(fpu) when Bond Length for a Prestressed Tendon is given?

Ultimate Prestress(fpu) when Bond Length for a Prestressed Tendon is given calculator uses ultimate_prestress = ((Bond Length*4*design bond stress)/Equivalent/Nominal Diameter of Particle)+Effective prestress to calculate the ultimate prestress, The Ultimate Prestress(fpu) when Bond Length for a Prestressed Tendon is given is defined as the maximum load applied to get the ultimate prestress. ultimate prestress and is denoted by fpu symbol.

How to calculate Ultimate Prestress(fpu) when Bond Length for a Prestressed Tendon is given using this online calculator? To use this online calculator for Ultimate Prestress(fpu) when Bond Length for a Prestressed Tendon is given, enter Bond Length (L), design bond stress (ζbd), Equivalent/Nominal Diameter of Particle (Dp) and Effective prestress (Pe) and hit the calculate button. Here is how the Ultimate Prestress(fpu) when Bond Length for a Prestressed Tendon is given calculation can be explained with given input values -> 6.020E+6 = ((0.01*4*1500000)/0.01)+20000.

FAQ

What is Ultimate Prestress(fpu) when Bond Length for a Prestressed Tendon is given?
The Ultimate Prestress(fpu) when Bond Length for a Prestressed Tendon is given is defined as the maximum load applied to get the ultimate prestress and is represented as fpu = ((L*4*ζbd)/Dp)+Pe or ultimate_prestress = ((Bond Length*4*design bond stress)/Equivalent/Nominal Diameter of Particle)+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, Equivalent/Nominal Diameter of Particle is the diameter of a sphere of equivalent volume and Effective prestress is the prestress remaining in the concrete after the loss of prestress.
How to calculate Ultimate Prestress(fpu) when Bond Length for a Prestressed Tendon is given?
The Ultimate Prestress(fpu) when Bond Length for a Prestressed Tendon is given is defined as the maximum load applied to get the ultimate prestress is calculated using ultimate_prestress = ((Bond Length*4*design bond stress)/Equivalent/Nominal Diameter of Particle)+Effective prestress. To calculate Ultimate Prestress(fpu) 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 Effective prestress (Pe). With our tool, you need to enter the respective value for Bond Length, design bond stress, Equivalent/Nominal Diameter of Particle 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 ultimate prestress?
In this formula, ultimate prestress uses Bond Length, design bond stress, Equivalent/Nominal Diameter of Particle 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 Ultimate Prestress(fpu) when Bond Length for a Prestressed Tendon is given calculator used?
Among many, Ultimate Prestress(fpu) 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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