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]

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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 00.020 seconds)

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

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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< Post Tensioned Members Calculators

Prestress in Tendon given Bursting Force for Square End Zone

LaTeX 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

LaTeX 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

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

Allowable Stress given End Zone Reinforcement

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

Allowable Stress given End Zone Reinforcement Formula

LaTeX Go

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.

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