End Zone Reinforcement along Transmission Length Solution

STEP 0: Pre-Calculation Summary
Formula Used
End Zone Reinforcement = (2.5*Moment in Structures)/(Allowable Stress*Total Depth)
Ast = (2.5*Mt)/(σal*h)
This formula uses 4 Variables
Variables Used
End Zone Reinforcement - (Measured in Square Meter) - End Zone Reinforcement can be defined as the reinforcement which restrict the splitting of concrete, in addition to shear reinforcement, provided at each ends of member.
Moment in Structures - (Measured in Joule) - The Moment in Structures is an overturning effect (tends to bend or turn the member) created by the force(load) acting on a structural member.
Allowable Stress - (Measured in Newton per Square Meter) - The Allowable Stress is also known as working load and is the ratio of tensile strentgth and factor of safety.
Total Depth - (Measured in Centimeter) - Total Depth is described as the total depth of the member.
STEP 1: Convert Input(s) to Base Unit
Moment in Structures: 0.03 Newton Meter --> 0.03 Joule (Check conversion here)
Allowable Stress: 27 Newton per Square Meter --> 27 Newton per Square Meter No Conversion Required
Total Depth: 20.1 Centimeter --> 20.1 Centimeter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ast = (2.5*Mt)/(σal*h) --> (2.5*0.03)/(27*20.1)
Evaluating ... ...
Ast = 0.000138197899391929
STEP 3: Convert Result to Output's Unit
0.000138197899391929 Square Meter --> No Conversion Required
FINAL ANSWER
0.000138197899391929 0.000138 Square Meter <-- End Zone Reinforcement
(Calculation completed in 00.004 seconds)

Credits

Created by M Naveen
National Institute of Technology (NIT), Warangal
M Naveen has created this Calculator and 500+ more calculators!
Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
Chandana P Dev has verified this Calculator and 1700+ more calculators!

12 Post-Tensioned Members Calculators

Cube Strength at Transfer given Allowable Bearing Stress
Go Cube Strength = Allowable Bearing Stress in Members/(0.48*sqrt(Bearing Area Between Screw and Nut/Punching Area))
Allowable Bearing Stress in Local Zone
Go Allowable Bearing Stress in Members = 0.48*Cube Strength*sqrt(Bearing Area Between Screw and Nut/Punching Area)
Transverse Dimension of End Zone given Bursting Force for Square End Zone
Go Traverse Dimension of End Zone = (-0.3*Side Length of Bearing Plate)/((Prestress Bursting force/Prestressing Force)-0.32)
Length of Side of Bearing Plate given Bursting Force for Square End Zone
Go Side Length of Bearing Plate = -(((Prestress Bursting force/Prestressing Force)-0.32)/0.3)*Traverse Dimension of End Zone
Prestress in Tendon given Bursting Force for Square End Zone
Go Prestressing Force = Prestress Bursting force/(0.32-0.3*(Side Length of Bearing Plate/Traverse Dimension of End Zone))
Bursting Force for Square End Zone
Go Prestress Bursting force = Prestressing Force*(0.32-0.3*(Side Length of Bearing Plate/Traverse Dimension of End Zone))
End Zone Reinforcement along Transmission Length
Go End Zone Reinforcement = (2.5*Moment in Structures)/(Allowable Stress*Total Depth)
Allowable Stress given End Zone Reinforcement
Go Allowable Stress = (2.5*Moment in Structures)/(End Zone Reinforcement*Total Depth)
Stress in Transverse Reinforcement given End Zone Reinforcement
Go Stress in Transverse Reinforcement = Prestress Bursting force/End Zone Reinforcement
End Zone Reinforcement in each Direction
Go End Zone Reinforcement = Prestress Bursting force/Stress in Transverse Reinforcement
Prestress in Tendon given Bearing Stress
Go Prestressing Force = Bearing Stress*Punching Area
Bearing Stress in Local Zone
Go Bearing Stress = Prestressing Force/Punching Area

End Zone Reinforcement along Transmission Length Formula

End Zone Reinforcement = (2.5*Moment in Structures)/(Allowable Stress*Total Depth)
Ast = (2.5*Mt)/(σal*h)

What does Allowable Stress mean?

Allowable stress, or allowable strength, is the maximum stress that can be safely applied to a structure. The bearing stress is the force that pushes a structure divided by the area. We can define it as a contact pressure between two separate bodies. If we apply a compressive stress on a body, then there will be a reaction as internal stress in the material of the body. This internal stress is known as the bearing stress. The Allowable Bearing Stress in the Local Zone is the maximum stress that can be safely applied to a structure.

What is Transmission Length?

The transmission length, representing the distance from the free-end of the beam necessary to transmit the fully effective prestressing-force to the surrounding concrete, is a design parameter of paramount importance for PC members detailing.
The transmission length is influenced by many factors such as diameter of prestressing steel, initial or effective prestress, concrete strength, type of release, type of tendon, bond condition, concrete cover, surface condition and size of the section on the transmission length.

How to Calculate End Zone Reinforcement along Transmission Length?

End Zone Reinforcement along Transmission Length calculator uses End Zone Reinforcement = (2.5*Moment in Structures)/(Allowable Stress*Total Depth) to calculate the End Zone Reinforcement, The End Zone Reinforcement along Transmission Length is defined as enhancing signal strength and integrity at the boundary points. End Zone Reinforcement is denoted by Ast symbol.

How to calculate End Zone Reinforcement along Transmission Length using this online calculator? To use this online calculator for End Zone Reinforcement along Transmission Length, enter Moment in Structures (Mt), Allowable Stress al) & Total Depth (h) and hit the calculate button. Here is how the End Zone Reinforcement along Transmission Length calculation can be explained with given input values -> 0.271789 = (2.5*0.03)/(27*0.201).

FAQ

What is End Zone Reinforcement along Transmission Length?
The End Zone Reinforcement along Transmission Length is defined as enhancing signal strength and integrity at the boundary points and is represented as Ast = (2.5*Mt)/(σal*h) or End Zone Reinforcement = (2.5*Moment in Structures)/(Allowable Stress*Total Depth). The Moment in Structures is an overturning effect (tends to bend or turn the member) created by the force(load) acting on a structural member, The Allowable Stress is also known as working load and is the ratio of tensile strentgth and factor of safety & Total Depth is described as the total depth of the member.
How to calculate End Zone Reinforcement along Transmission Length?
The End Zone Reinforcement along Transmission Length is defined as enhancing signal strength and integrity at the boundary points is calculated using End Zone Reinforcement = (2.5*Moment in Structures)/(Allowable Stress*Total Depth). To calculate End Zone Reinforcement along Transmission Length, you need Moment in Structures (Mt), Allowable Stress al) & Total Depth (h). With our tool, you need to enter the respective value for Moment in Structures, Allowable Stress & 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 End Zone Reinforcement?
In this formula, End Zone Reinforcement uses Moment in Structures, Allowable Stress & Total Depth. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • End Zone Reinforcement = Prestress Bursting force/Stress in Transverse Reinforcement
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!