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Design Bond Stress when Bond Length for a Prestressed Tendon is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
design_bond_stress = (ultimate prestress-Effective prestress)*Equivalent/Nominal Diameter of Particle/(4*Bond Length)
ζbd = (fpu-Pe)*Dp/(4*L)
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)
Bond Length - Bond Length in a diatomic molecule is the distance between center of two molecules(or two masses) (Measured in Centimeter)
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)
Bond Length: 1 Centimeter --> 0.01 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ζbd = (fpu-Pe)*Dp/(4*L) --> (50-20000)*0.01/(4*0.01)
Evaluating ... ...
ζbd = -4987.5
STEP 3: Convert Result to Output's Unit
-4987.5 Pascal -->-0.0049875 Newton per Square Millimeter (Check conversion here)
FINAL ANSWER
-0.0049875 Newton per Square Millimeter <-- design bond stress
(Calculation completed in 00.047 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

Design Bond Stress when Bond Length for a Prestressed Tendon is given Formula

design_bond_stress = (ultimate prestress-Effective prestress)*Equivalent/Nominal Diameter of Particle/(4*Bond Length)
ζbd = (fpu-Pe)*Dp/(4*L)

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 Design Bond Stress when Bond Length for a Prestressed Tendon is given?

Design Bond Stress when Bond Length for a Prestressed Tendon is given calculator uses design_bond_stress = (ultimate prestress-Effective prestress)*Equivalent/Nominal Diameter of Particle/(4*Bond Length) to calculate the design bond stress, The Design Bond Stress when Bond Length for a Prestressed Tendon is given is the shear stress develop along the contact surface between the reinforcing steel & the surrounding concrete. design bond stress and is denoted by ζbd symbol.

How to calculate Design Bond Stress when Bond Length for a Prestressed Tendon is given using this online calculator? To use this online calculator for Design Bond Stress when Bond Length for a Prestressed Tendon is given, enter ultimate prestress (fpu), Effective prestress (Pe), Equivalent/Nominal Diameter of Particle (Dp) and Bond Length (L) and hit the calculate button. Here is how the Design Bond Stress when Bond Length for a Prestressed Tendon is given calculation can be explained with given input values -> -0.004988 = (50-20000)*0.01/(4*0.01).

FAQ

What is Design Bond Stress when Bond Length for a Prestressed Tendon is given?
The Design Bond Stress when Bond Length for a Prestressed Tendon is given is the shear stress develop along the contact surface between the reinforcing steel & the surrounding concrete and is represented as ζbd = (fpu-Pe)*Dp/(4*L) or design_bond_stress = (ultimate prestress-Effective prestress)*Equivalent/Nominal Diameter of Particle/(4*Bond Length). 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 Bond Length in a diatomic molecule is the distance between center of two molecules(or two masses).
How to calculate Design Bond Stress when Bond Length for a Prestressed Tendon is given?
The Design Bond Stress when Bond Length for a Prestressed Tendon is given is the shear stress develop along the contact surface between the reinforcing steel & the surrounding concrete is calculated using design_bond_stress = (ultimate prestress-Effective prestress)*Equivalent/Nominal Diameter of Particle/(4*Bond Length). To calculate Design Bond Stress when Bond Length for a Prestressed Tendon is given, you need ultimate prestress (fpu), Effective prestress (Pe), Equivalent/Nominal Diameter of Particle (Dp) and Bond Length (L). With our tool, you need to enter the respective value for ultimate prestress, Effective prestress, Equivalent/Nominal Diameter of Particle and Bond Length 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 design bond stress?
In this formula, design bond stress uses ultimate prestress, Effective prestress, Equivalent/Nominal Diameter of Particle and Bond Length. 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 Design Bond Stress when Bond Length for a Prestressed Tendon is given calculator used?
Among many, Design Bond Stress 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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