Allowable Stress given End Zone Reinforcement Calculator

✖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.ⓘ Moment in Structures [M_t]			+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 [A_st]			+10% -10%
✖Total Depth is described as the total depth of the member.ⓘ Total Depth [h]			+10% -10%

✖The Allowable Stress is also known as working load and is the ratio of tensile strentgth and factor of safety.ⓘ Allowable Stress given End Zone Reinforcement [σ_al]

⎘ Copy

👎

Formula

✖

Allowable Stress given End Zone Reinforcement

Formula

`"σ"_{"al"} = (2.5*"M"_{"t"})/("A"_{"st"}*"h")`

Example

`"0.013718N/m²"=(2.5*"0.03N*m")/("0.272m²"*"20.1cm")`

Calculator

LaTeX

Reset

👍

Download Transmission of Prestress Formulas PDF PDF Image

Allowable Stress given End Zone Reinforcement Solution

STEP 0: Pre-Calculation Summary

Formula Used

Allowable Stress = (2.5*Moment in Structures)/(End Zone Reinforcement*Total Depth)
σ_al = (2.5*M_t)/(A_st*h)
This formula uses 4 Variables

Variables Used

Allowable Stress - (Measured in Pascal) - The Allowable Stress is also known as working load and is the ratio of tensile strentgth and factor of safety.
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.
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.
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)
End Zone Reinforcement: 0.272 Square Meter --> 0.272 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

σ_al = (2.5*M_t)/(A_st*h) --> (2.5*0.03)/(0.272*20.1)

Evaluating ... ...

σ_al = 0.0137181738366989

STEP 3: Convert Result to Output's Unit

0.0137181738366989 Pascal -->0.0137181738366989 Newton per Square Meter (Check conversion here)

FINAL ANSWER

0.0137181738366989 ≈ 0.013718 Newton per Square Meter <-- Allowable Stress

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Structural Engineering » Prestressed Concrete » Transmission of Prestress » Post-Tensioned Members » Allowable Stress given End Zone Reinforcement

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

Allowable Stress given End Zone Reinforcement Formula

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

What is meant by End Zone Reinforcement?

End zone Reinforcement represents the transverse reinforcement needs to be provided at each end of a member along the transmission length

What is Allowable Stress?

The Allowable Stress or allowable strength is the maximum stress (tensile, compressive or bending) that is allowed to be applied on a structural material. The allowable stresses are generally defined by building codes, and for steel, and aluminum is a fraction of their yield stress (strength).
Allowable stress is the stress at which a member is not expected to fail under the given loading conditions while yield strength is the stress at which you could have strain without further addition of stress.

How to Calculate Allowable Stress given End Zone Reinforcement?

Allowable Stress given End Zone Reinforcement calculator uses Allowable Stress = (2.5*Moment in Structures)/(End Zone Reinforcement*Total Depth) to calculate the Allowable Stress, The Allowable Stress given End Zone Reinforcement formula is defined as the maximum stress that can be safely applied to structure. Allowable Stress is denoted by σ_al symbol.

How to calculate Allowable Stress given End Zone Reinforcement using this online calculator? To use this online calculator for Allowable Stress given End Zone Reinforcement, enter Moment in Structures (M_t), End Zone Reinforcement (A_st) & Total Depth (h) and hit the calculate button. Here is how the Allowable Stress given End Zone Reinforcement calculation can be explained with given input values -> 26.97908 = (2.5*0.03)/(0.272*0.201).

FAQ

What is Allowable Stress given End Zone Reinforcement?

The Allowable Stress given End Zone Reinforcement formula is defined as the maximum stress that can be safely applied to structure and is represented as σ_al = (2.5*M_t)/(A_st*h) or Allowable Stress = (2.5*Moment in Structures)/(End Zone Reinforcement*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, 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 & Total Depth is described as the total depth of the member.

How to calculate Allowable Stress given End Zone Reinforcement?

The Allowable Stress given End Zone Reinforcement formula is defined as the maximum stress that can be safely applied to structure is calculated using Allowable Stress = (2.5*Moment in Structures)/(End Zone Reinforcement*Total Depth). To calculate Allowable Stress given End Zone Reinforcement, you need Moment in Structures (M_t), End Zone Reinforcement (A_st) & Total Depth (h). With our tool, you need to enter the respective value for Moment in Structures, End Zone Reinforcement & Total Depth and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search