Allowable Bearing Stress in Local Zone Solution

STEP 0: Pre-Calculation Summary
Formula Used
Allowable Bearing Stress in Members = 0.48*Cube Strength*sqrt(Bearing Area Between Screw and Nut/Punching Area)
Fp = 0.48*fci*sqrt(Ab/Apun)
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Allowable Bearing Stress in Members - (Measured in Megapascal) - The Allowable Bearing Stress in Members is defined as the maximum limit of stress allowed or permitted for bearing on concrete or masonry.
Cube Strength - (Measured in Megapascal) - Cube Strength of concrete is the strength achieved by the concrete on the concrete cubes after curing of a temperature of 27± 2° C.
Bearing Area Between Screw and Nut - (Measured in Square Millimeter) - The Bearing Area Between Screw and Nut is defined as the area of contact of one thread, between one mating pair of screw and nut.
Punching Area - (Measured in Square Millimeter) - 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
Cube Strength: 15.5 Newton per Square Millimeter --> 15.5 Megapascal (Check conversion here)
Bearing Area Between Screw and Nut: 30 Square Millimeter --> 30 Square Millimeter No Conversion Required
Punching Area: 0.008 Square Meter --> 8000 Square Millimeter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fp = 0.48*fci*sqrt(Ab/Apun) --> 0.48*15.5*sqrt(30/8000)
Evaluating ... ...
Fp = 0.455605092157671
STEP 3: Convert Result to Output's Unit
455605.092157671 Pascal -->0.455605092157671 Megapascal (Check conversion here)
FINAL ANSWER
0.455605092157671 0.455605 Megapascal <-- Allowable Bearing Stress in Members
(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

Allowable Bearing Stress in Local Zone Formula

Allowable Bearing Stress in Members = 0.48*Cube Strength*sqrt(Bearing Area Between Screw and Nut/Punching Area)
Fp = 0.48*fci*sqrt(Ab/Apun)

What does Bearing Area mean?

Bearing Area refers to the area of the screw head that directly bears on the part being fastened. (under the pressure in the bearing plate)

What is Allowable Bearing Stress?

The Allowable Bearing Stress is defined as the compressive force acting over the contact area between the two members. The maximum permissible bearing stress is the maximum stress that can be developed in the member without causing failure.

How to Calculate Allowable Bearing Stress in Local Zone?

Allowable Bearing Stress in Local Zone calculator uses Allowable Bearing Stress in Members = 0.48*Cube Strength*sqrt(Bearing Area Between Screw and Nut/Punching Area) to calculate the Allowable Bearing Stress in Members, The Allowable Bearing Stress in Local Zone formula is defined as the maximum stress that can be safely applied to a structure. Allowable Bearing Stress in Members is denoted by Fp symbol.

How to calculate Allowable Bearing Stress in Local Zone using this online calculator? To use this online calculator for Allowable Bearing Stress in Local Zone, enter Cube Strength (fci), Bearing Area Between Screw and Nut (Ab) & Punching Area (Apun) and hit the calculate button. Here is how the Allowable Bearing Stress in Local Zone calculation can be explained with given input values -> 2.6E-7 = 0.48*15500000*sqrt(3E-05/0.008).

FAQ

What is Allowable Bearing Stress in Local Zone?
The Allowable Bearing Stress in Local Zone formula is defined as the maximum stress that can be safely applied to a structure and is represented as Fp = 0.48*fci*sqrt(Ab/Apun) or Allowable Bearing Stress in Members = 0.48*Cube Strength*sqrt(Bearing Area Between Screw and Nut/Punching Area). Cube Strength of concrete is the strength achieved by the concrete on the concrete cubes after curing of a temperature of 27± 2° C, The Bearing Area Between Screw and Nut is defined as the area of contact of one thread, between one mating pair of screw and nut & 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 Allowable Bearing Stress in Local Zone?
The Allowable Bearing Stress in Local Zone formula is defined as the maximum stress that can be safely applied to a structure is calculated using Allowable Bearing Stress in Members = 0.48*Cube Strength*sqrt(Bearing Area Between Screw and Nut/Punching Area). To calculate Allowable Bearing Stress in Local Zone, you need Cube Strength (fci), Bearing Area Between Screw and Nut (Ab) & Punching Area (Apun). With our tool, you need to enter the respective value for Cube Strength, Bearing Area Between Screw and Nut & Punching Area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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