Allowable Shear Stress with Tension Field Action Calculator

✖Yield Stress of Steel is the stress at which the material begins to deform plastically, meaning it will not return to its original shape when the applied force is removed.ⓘ Yield Stress of Steel [F_y]			+10% -10%
✖Stress Buckling Coefficient is determined using theoretical critical load analysis.ⓘ Stress Buckling Coefficient [C_v]			+10% -10%
✖Spacing of Stiffeners is the distance between two stiffeners.ⓘ Spacing of Stiffeners [a]			+10% -10%
✖Height of Web is the distance between the top and bottom point of the web section.ⓘ Height of Web [h]			+10% -10%

✖Allowable Shear Stress is the maximum limit of shear stress accommodated in a member.ⓘ Allowable Shear Stress with Tension Field Action [F_v]

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Allowable Shear Stress with Tension Field Action Solution

STEP 0: Pre-Calculation Summary

Formula Used

Allowable Shear Stress = Yield Stress of Steel/289*(Stress Buckling Coefficient+((1-Stress Buckling Coefficient)/(1.15*sqrt(1+(Spacing of Stiffeners/Height of Web)^2))))
F_v = F_y/289*(C_v+((1-C_v)/(1.15*sqrt(1+(a/h)^2))))
This formula uses 1 Functions, 5 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 Shear Stress - (Measured in Pascal) - Allowable Shear Stress is the maximum limit of shear stress accommodated in a member.
Yield Stress of Steel - (Measured in Pascal) - Yield Stress of Steel is the stress at which the material begins to deform plastically, meaning it will not return to its original shape when the applied force is removed.
Stress Buckling Coefficient - Stress Buckling Coefficient is determined using theoretical critical load analysis.
Spacing of Stiffeners - (Measured in Meter) - Spacing of Stiffeners is the distance between two stiffeners.
Height of Web - (Measured in Meter) - Height of Web is the distance between the top and bottom point of the web section.

STEP 1: Convert Input(s) to Base Unit

Yield Stress of Steel: 250 Megapascal --> 250000000 Pascal (Check conversion here)
Stress Buckling Coefficient: 0.9 --> No Conversion Required
Spacing of Stiffeners: 50 Millimeter --> 0.05 Meter (Check conversion here)
Height of Web: 900 Millimeter --> 0.9 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_v = F_y/289*(C_v+((1-C_v)/(1.15*sqrt(1+(a/h)^2)))) --> 250000000/289*(0.9+((1-0.9)/(1.15*sqrt(1+(0.05/0.9)^2))))

Evaluating ... ...

F_v = 853652.802257064

STEP 3: Convert Result to Output's Unit

853652.802257064 Pascal -->0.853652802257064 Megapascal (Check conversion here)

FINAL ANSWER

0.853652802257064 ≈ 0.853653 Megapascal <-- Allowable Shear Stress

(Calculation completed in 00.021 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Allowable Stress Design for Shear in Buildings Calculators

Allowable Shear Stress with Tension Field Action

LaTeX Go Allowable Shear Stress = Yield Stress of Steel/289*(Stress Buckling Coefficient+((1-Stress Buckling Coefficient)/(1.15*sqrt(1+(Spacing of Stiffeners/Height of Web)^2))))

Allowable Shear Stress without Tension Field Action

LaTeX Go Allowable Shear Stress = (Stress Buckling Coefficient*Yield Stress of Steel)/289

Allowable Shear Stress with Tension Field Action Formula

LaTeX Go

What is Tension Force?

Two pulling forces, directly opposing each other, that stretch an object and try to pull it apart. For example, pulling on a rope, a car towing another car with a chain – the rope and the chain are in tension or are "being subjected to a tensile load."

How to Calculate Allowable Shear Stress with Tension Field Action?

Allowable Shear Stress with Tension Field Action calculator uses Allowable Shear Stress = Yield Stress of Steel/289*(Stress Buckling Coefficient+((1-Stress Buckling Coefficient)/(1.15*sqrt(1+(Spacing of Stiffeners/Height of Web)^2)))) to calculate the Allowable Shear Stress, The Allowable Shear Stress with Tension Field Action formula is defined as the maximum shear resistance offered by the member if the member is within the tension field. Allowable Shear Stress is denoted by F_v symbol.

How to calculate Allowable Shear Stress with Tension Field Action using this online calculator? To use this online calculator for Allowable Shear Stress with Tension Field Action, enter Yield Stress of Steel (F_y), Stress Buckling Coefficient (C_v), Spacing of Stiffeners (a) & Height of Web (h) and hit the calculate button. Here is how the Allowable Shear Stress with Tension Field Action calculation can be explained with given input values -> 8.5E-7 = 250000000/289*(0.9+((1-0.9)/(1.15*sqrt(1+(0.05/0.9)^2)))).

FAQ

What is Allowable Shear Stress with Tension Field Action?

The Allowable Shear Stress with Tension Field Action formula is defined as the maximum shear resistance offered by the member if the member is within the tension field and is represented as F_v = F_y/289*(C_v+((1-C_v)/(1.15*sqrt(1+(a/h)^2)))) or Allowable Shear Stress = Yield Stress of Steel/289*(Stress Buckling Coefficient+((1-Stress Buckling Coefficient)/(1.15*sqrt(1+(Spacing of Stiffeners/Height of Web)^2)))). Yield Stress of Steel is the stress at which the material begins to deform plastically, meaning it will not return to its original shape when the applied force is removed, Stress Buckling Coefficient is determined using theoretical critical load analysis, Spacing of Stiffeners is the distance between two stiffeners & Height of Web is the distance between the top and bottom point of the web section.

How to calculate Allowable Shear Stress with Tension Field Action?

The Allowable Shear Stress with Tension Field Action formula is defined as the maximum shear resistance offered by the member if the member is within the tension field is calculated using Allowable Shear Stress = Yield Stress of Steel/289*(Stress Buckling Coefficient+((1-Stress Buckling Coefficient)/(1.15*sqrt(1+(Spacing of Stiffeners/Height of Web)^2)))). To calculate Allowable Shear Stress with Tension Field Action, you need Yield Stress of Steel (F_y), Stress Buckling Coefficient (C_v), Spacing of Stiffeners (a) & Height of Web (h). With our tool, you need to enter the respective value for Yield Stress of Steel, Stress Buckling Coefficient, Spacing of Stiffeners & Height of Web 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 Allowable Shear Stress?

In this formula, Allowable Shear Stress uses Yield Stress of Steel, Stress Buckling Coefficient, Spacing of Stiffeners & Height of Web. We can use 1 other way(s) to calculate the same, which is/are as follows -

Allowable Shear Stress = (Stress Buckling Coefficient*Yield Stress of Steel)/289

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