Prestress in Tendon given Bearing Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Prestressing Force = Bearing Stress*Punching Area
F = fbr*Apun
This formula uses 3 Variables
Variables Used
Prestressing Force - (Measured in Newton) - Prestressing Force is the force internally applied to the prestressed concrete section.
Bearing Stress - (Measured in Pascal) - Bearing Stress is described as the contact pressure between the separate bodies.
Punching Area - (Measured in Square Meter) - Punching area can be described as the defined as the space occupied by a flat shape or the surface of an object.
STEP 1: Convert Input(s) to Base Unit
Bearing Stress: 50 Newton per Square Millimeter --> 50000000 Pascal (Check conversion here)
Punching Area: 0.008 Square Meter --> 0.008 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F = fbr*Apun --> 50000000*0.008
Evaluating ... ...
F = 400000
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)

Credits

Created by M Naveen
National Institute of Technology (NIT), Warangal
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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 Bearing Stress Formula

Prestressing Force = Bearing Stress*Punching Area
F = fbr*Apun

What is meant by Bearing Stress?

The Bearing Stress (fbr) in the Local Zone is the contact pressure between the separate bodies it differs from compressive stress as it is an internal stress caused by a load. 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.

What is the difference between Normal Stress and Bearing Stress?

Normal Stress - A normal stress is a stress that occurs when a member is loaded by an axial force. The value of the normal force for any prismatic section is simply the force divided by the cross sectional area. A normal stress will occur when a member is placed in tension or compression. Examples of members experiencing pure normal forces would include columns, collar ties, etc.

Bearing Stress -
Bearing stress is the contact pressure between the separate bodies. It differs from compressive stress, as it is an internal stress caused by compressive forces.

How to Calculate Prestress in Tendon given Bearing Stress?

Prestress in Tendon given Bearing Stress calculator uses Prestressing Force = Bearing Stress*Punching Area to calculate the Prestressing Force, The Prestress in Tendon given Bearing Stress formula is defined as the initial force applied to counteract external loads for structural integrity. Prestressing Force is denoted by F symbol.

How to calculate Prestress in Tendon given Bearing Stress using this online calculator? To use this online calculator for Prestress in Tendon given Bearing Stress, enter Bearing Stress (fbr) & Punching Area (Apun) and hit the calculate button. Here is how the Prestress in Tendon given Bearing Stress calculation can be explained with given input values -> 0.4 = 50000000*0.008.

FAQ

What is Prestress in Tendon given Bearing Stress?
The Prestress in Tendon given Bearing Stress formula is defined as the initial force applied to counteract external loads for structural integrity and is represented as F = fbr*Apun or Prestressing Force = Bearing Stress*Punching Area. Bearing Stress is described as the contact pressure between the separate bodies & Punching area can be described as the defined as the space occupied by a flat shape or the surface of an object.
How to calculate Prestress in Tendon given Bearing Stress?
The Prestress in Tendon given Bearing Stress formula is defined as the initial force applied to counteract external loads for structural integrity is calculated using Prestressing Force = Bearing Stress*Punching Area. To calculate Prestress in Tendon given Bearing Stress, you need Bearing Stress (fbr) & Punching Area (Apun). With our tool, you need to enter the respective value for Bearing Stress & Punching Area 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 Bearing Stress & Punching Area. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Prestressing Force = Prestress Bursting force/(0.32-0.3*(Side Length of Bearing Plate/Traverse Dimension of End Zone))
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