Prestress in Tendon given Bursting Force for Square End Zone Solution

STEP 0: Pre-Calculation Summary
Formula Used
Prestressing Force = Prestress Bursting force/(0.32-0.3*(Side Length of Bearing Plate/Traverse Dimension of End Zone))
F = Fbst/(0.32-0.3*(Ypo/Yo))
This formula uses 4 Variables
Variables Used
Prestressing Force - (Measured in Kilonewton) - Prestressing Force is the force internally applied to the prestressed concrete section.
Prestress Bursting force - (Measured in Kilonewton) - The Prestress Bursting force represents the resultant of the tensile stress in a transverse direction.
Side Length of Bearing Plate - (Measured in Centimeter) - Side Length of Bearing Plate represented the length of the bearing plate in which the burst force is acting.
Traverse Dimension of End Zone - (Measured in Centimeter) - Traverse Dimension of End Zone can be defined as the measurement of bearing plate in traverse direction.
STEP 1: Convert Input(s) to Base Unit
Prestress Bursting force: 68 Kilonewton --> 68 Kilonewton No Conversion Required
Side Length of Bearing Plate: 5 Centimeter --> 5 Centimeter No Conversion Required
Traverse Dimension of End Zone: 10 Centimeter --> 10 Centimeter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F = Fbst/(0.32-0.3*(Ypo/Yo)) --> 68/(0.32-0.3*(5/10))
Evaluating ... ...
F = 400
STEP 3: Convert Result to Output's Unit
400000 Newton -->400 Kilonewton (Check conversion here)
FINAL ANSWER
400 Kilonewton <-- Prestressing Force
(Calculation completed in 00.004 seconds)

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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

Prestress in Tendon given Bursting Force for Square End Zone Formula

Prestressing Force = Prestress Bursting force/(0.32-0.3*(Side Length of Bearing Plate/Traverse Dimension of End Zone))
F = Fbst/(0.32-0.3*(Ypo/Yo))

What does Bursting Force mean?

Bursting Force is the capacity of a reinforcement in the section or substance to resist change when under pressure. A large bearing stress is generated in the axial direction of the concrete member around the bearing plate and a tensile stress is generated in the vertical direction of the tendons. This tensile stress is called a bursting force. The bursting force should be resisted by properly designed reinforcement.

What is End Zone Reinforcement?

The End Zone Reinforcement in each Direction (Ast) is transverse reinforcement is provided in each principle direction based on the value of bursting force. To restrict the splitting of concrete, transverse reinforcement (in addition to the reinforcement for shear) needs to be provided at each end of a member along the transmission length. This reinforcement is known as end zone reinforcement.

How to Calculate Prestress in Tendon given Bursting Force for Square End Zone?

Prestress in Tendon given Bursting Force for Square End Zone calculator uses Prestressing Force = Prestress Bursting force/(0.32-0.3*(Side Length of Bearing Plate/Traverse Dimension of End Zone)) to calculate the Prestressing Force, The Prestress in Tendon given Bursting Force for Square End Zone is defined as the initial force applied to counter external loads. Prestressing Force is denoted by F symbol.

How to calculate Prestress in Tendon given Bursting Force for Square End Zone using this online calculator? To use this online calculator for Prestress in Tendon given Bursting Force for Square End Zone, enter Prestress Bursting force (Fbst), Side Length of Bearing Plate (Ypo) & Traverse Dimension of End Zone (Yo) and hit the calculate button. Here is how the Prestress in Tendon given Bursting Force for Square End Zone calculation can be explained with given input values -> 0.4 = 68000/(0.32-0.3*(0.05/0.1)).

FAQ

What is Prestress in Tendon given Bursting Force for Square End Zone?
The Prestress in Tendon given Bursting Force for Square End Zone is defined as the initial force applied to counter external loads and is represented as F = Fbst/(0.32-0.3*(Ypo/Yo)) or Prestressing Force = Prestress Bursting force/(0.32-0.3*(Side Length of Bearing Plate/Traverse Dimension of End Zone)). The Prestress Bursting force represents the resultant of the tensile stress in a transverse direction, Side Length of Bearing Plate represented the length of the bearing plate in which the burst force is acting & Traverse Dimension of End Zone can be defined as the measurement of bearing plate in traverse direction.
How to calculate Prestress in Tendon given Bursting Force for Square End Zone?
The Prestress in Tendon given Bursting Force for Square End Zone is defined as the initial force applied to counter external loads is calculated using Prestressing Force = Prestress Bursting force/(0.32-0.3*(Side Length of Bearing Plate/Traverse Dimension of End Zone)). To calculate Prestress in Tendon given Bursting Force for Square End Zone, you need Prestress Bursting force (Fbst), Side Length of Bearing Plate (Ypo) & Traverse Dimension of End Zone (Yo). With our tool, you need to enter the respective value for Prestress Bursting force, Side Length of Bearing Plate & Traverse Dimension of End Zone 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 Prestressing Force?
In this formula, Prestressing Force uses Prestress Bursting force, Side Length of Bearing Plate & Traverse Dimension of End Zone. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Prestressing Force = Bearing Stress*Punching Area
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