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Allowable Stress(fs) when End Zone Reinforcement(Ast) is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
allowable_stress = (2.5*moment)/(end zone reinforcement*Total depth)
σ = (2.5*Mt)/(Ast*h)
This formula uses 3 Variables
Variables Used
moment - moment is an overturning effect (tends to bend or turn the member) created by the force(load) acting on a structural member. (Measured in Newton Meter)
end zone reinforcement - end zone reinforcement can be defined as the reinforcement addition to the reinforcement for shear (Measured in Square Meter)
Total depth - Total depth is described as the total depth of the member (Measured in Centimeter)
STEP 1: Convert Input(s) to Base Unit
moment: 1 Newton Meter --> 1 Joule (Check conversion here)
end zone reinforcement: 50 Square Meter --> 50 Square Meter No Conversion Required
Total depth: 20 Centimeter --> 0.2 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σ = (2.5*Mt)/(Ast*h) --> (2.5*1)/(50*0.2)
Evaluating ... ...
σ = 0.25
STEP 3: Convert Result to Output's Unit
0.25 Pascal -->0.25 Newton per Square Meter (Check conversion here)
FINAL ANSWER
0.25 Newton per Square Meter <-- Allowable Stress
(Calculation completed in 00.015 seconds)

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design_bond_stress = (ultimate prestress-Effective prestress)*Equivalent/Nominal Diameter of Particle/(4*Bond Length) Go
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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
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Bond Length(Lb) when Development Length(Ld) of the Section is given
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Development Length(Ld) of the Section
development_length = Transmission length+Bond Length Go

Allowable Stress(fs) when End Zone Reinforcement(Ast) is given Formula

allowable_stress = (2.5*moment)/(end zone reinforcement*Total depth)
σ = (2.5*Mt)/(Ast*h)

What is meant by end zone reinforcement?

End zone reinforcement represents the transverse reinforcement needs to be provided at each end of a member along the transmission length

How to Calculate Allowable Stress(fs) when End Zone Reinforcement(Ast) is given?

Allowable Stress(fs) when End Zone Reinforcement(Ast) is given calculator uses allowable_stress = (2.5*moment)/(end zone reinforcement*Total depth) to calculate the Allowable Stress, The Allowable Stress(fs) when End Zone Reinforcement(Ast) is given is the maximum stress that can be safely applied to a structure. Allowable Stress and is denoted by σ symbol.

How to calculate Allowable Stress(fs) when End Zone Reinforcement(Ast) is given using this online calculator? To use this online calculator for Allowable Stress(fs) when End Zone Reinforcement(Ast) is given, enter moment (Mt), end zone reinforcement (Ast) and Total depth (h) and hit the calculate button. Here is how the Allowable Stress(fs) when End Zone Reinforcement(Ast) is given calculation can be explained with given input values -> 0.25 = (2.5*1)/(50*0.2).

FAQ

What is Allowable Stress(fs) when End Zone Reinforcement(Ast) is given?
The Allowable Stress(fs) when End Zone Reinforcement(Ast) is given is the maximum stress that can be safely applied to a structure and is represented as σ = (2.5*Mt)/(Ast*h) or allowable_stress = (2.5*moment)/(end zone reinforcement*Total depth). moment is an overturning effect (tends to bend or turn the member) created by the force(load) acting on a structural member, end zone reinforcement can be defined as the reinforcement addition to the reinforcement for shear and Total depth is described as the total depth of the member.
How to calculate Allowable Stress(fs) when End Zone Reinforcement(Ast) is given?
The Allowable Stress(fs) when End Zone Reinforcement(Ast) is given is the maximum stress that can be safely applied to a structure is calculated using allowable_stress = (2.5*moment)/(end zone reinforcement*Total depth). To calculate Allowable Stress(fs) when End Zone Reinforcement(Ast) is given, you need moment (Mt), end zone reinforcement (Ast) and Total depth (h). With our tool, you need to enter the respective value for moment, end zone reinforcement and Total depth 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 Allowable Stress?
In this formula, Allowable Stress uses moment, end zone reinforcement and Total depth. 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 Allowable Stress(fs) when End Zone Reinforcement(Ast) is given calculator used?
Among many, Allowable Stress(fs) when End Zone Reinforcement(Ast) is given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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