End Zone Reinforcement in each Direction Calculator

✖The Prestress Bursting force represents the resultant of the tensile stress in a transverse direction.ⓘ Prestress Bursting force [F_bst]			+10% -10%
✖Stress in Transverse Reinforcement can be represented as the stress induced in the steel which are aligned in transverse direction or perpendicular direction to the axis.ⓘ Stress in Transverse Reinforcement [f_s]			+10% -10%

✖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.ⓘ End Zone Reinforcement in each Direction [A_st]

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Formula

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End Zone Reinforcement in each Direction

Formula

`"A"_{"st"} = "F"_{"bst"}/"f"_{"s"}`

Example

`"0.272m²"= "68kN"/"250N/mm²"`

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End Zone Reinforcement in each Direction Solution

STEP 0: Pre-Calculation Summary

Formula Used

End Zone Reinforcement = Prestress Bursting force/Stress in Transverse Reinforcement
A_st = F_bst/f_s
This formula uses 3 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.
Prestress Bursting force - (Measured in Kilonewton) - The Prestress Bursting force represents the resultant of the tensile stress in a transverse direction.
Stress in Transverse Reinforcement - (Measured in Newton per Square Millimeter) - Stress in Transverse Reinforcement can be represented as the stress induced in the steel which are aligned in transverse direction or perpendicular direction to the axis.

STEP 1: Convert Input(s) to Base Unit

Prestress Bursting force: 68 Kilonewton --> 68 Kilonewton No Conversion Required
Stress in Transverse Reinforcement: 250 Newton per Square Millimeter --> 250 Newton per Square Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_st = F_bst/f_s --> 68/250

Evaluating ... ...

A_st = 0.272

STEP 3: Convert Result to Output's Unit

0.272 Square Meter --> No Conversion Required

FINAL ANSWER

0.272 Square Meter <-- End Zone Reinforcement

(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

End Zone Reinforcement in each Direction Formula

End Zone Reinforcement = Prestress Bursting force/Stress in Transverse Reinforcement
A_st = F_bst/f_s

What is meant by Bursting Force?

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 does End Zone Reinforcement mean?

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 End Zone Reinforcement in each Direction?

End Zone Reinforcement in each Direction calculator uses End Zone Reinforcement = Prestress Bursting force/Stress in Transverse Reinforcement to calculate the End Zone Reinforcement, The End Zone Reinforcement in each Direction is defined as bolstering boundaries with structural support at all terminations for enhanced stability. End Zone Reinforcement is denoted by A_st symbol.

How to calculate End Zone Reinforcement in each Direction using this online calculator? To use this online calculator for End Zone Reinforcement in each Direction, enter Prestress Bursting force (F_bst) & Stress in Transverse Reinforcement (f_s) and hit the calculate button. Here is how the End Zone Reinforcement in each Direction calculation can be explained with given input values -> 0.272 = 68000/250000000.

FAQ

What is End Zone Reinforcement in each Direction?

The End Zone Reinforcement in each Direction is defined as bolstering boundaries with structural support at all terminations for enhanced stability and is represented as A_st = F_bst/f_s or End Zone Reinforcement = Prestress Bursting force/Stress in Transverse Reinforcement. The Prestress Bursting force represents the resultant of the tensile stress in a transverse direction & Stress in Transverse Reinforcement can be represented as the stress induced in the steel which are aligned in transverse direction or perpendicular direction to the axis.

How to calculate End Zone Reinforcement in each Direction?

The End Zone Reinforcement in each Direction is defined as bolstering boundaries with structural support at all terminations for enhanced stability is calculated using End Zone Reinforcement = Prestress Bursting force/Stress in Transverse Reinforcement. To calculate End Zone Reinforcement in each Direction, you need Prestress Bursting force (F_bst) & Stress in Transverse Reinforcement (f_s). With our tool, you need to enter the respective value for Prestress Bursting force & Stress in Transverse Reinforcement 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 Prestress Bursting force & Stress in Transverse Reinforcement. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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