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Allowable Shear Stress with Tension Field Action Formula

GoAllowable Shear Stress without Tension Field Action Formula

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Allowable Shear Stress is the maximum limit of shear stress accommodated in a member. Check FAQs

F v = \frac{F y}{289} \cdot (C v + (\frac{1 - C v}{1.15 \cdot \sqrt{1 + {(\frac{a}{h})}^{2}}}))

F_v - Allowable Shear Stress?F_y - Yield Stress of Steel?C_v - Stress Buckling Coefficient?a - Spacing of Stiffeners?h - Height of Web?

Allowable Shear Stress with Tension Field Action Example

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Here is how the Allowable Shear Stress with Tension Field Action equation looks like with Values.

Here is how the Allowable Shear Stress with Tension Field Action equation looks like with Units.

Here is how the Allowable Shear Stress with Tension Field Action equation looks like.

0.8537 = \frac{250}{289} \cdot (0.9 + (\frac{1 - 0.9}{1.15 \cdot \sqrt{1 + {(\frac{50}{900})}^{2}}}))

0.8537MPa = \frac{250MPa}{289} \cdot (0.9 + (\frac{1 - 0.9}{1.15 \cdot \sqrt{1 + {(\frac{50mm}{900mm})}^{2}}}))

0.8537 = \frac{250}{289} \cdot (0.9 + (\frac{1 - 0.9}{1.15 \cdot \sqrt{1 + {(\frac{50}{900})}^{2}}}))

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Allowable Shear Stress with Tension Field Action Solution

Follow our step by step solution on how to calculate Allowable Shear Stress with Tension Field Action?

FIRST Step Consider the formula

F v = \frac{F y}{289} \cdot (C v + (\frac{1 - C v}{1.15 \cdot \sqrt{1 + {(\frac{a}{h})}^{2}}}))

Next Step Substitute values of Variables

∴

F v = \frac{250MPa}{289} \cdot (0.9 + (\frac{1 - 0.9}{1.15 \cdot \sqrt{1 + {(\frac{50mm}{900mm})}^{2}}}))

Next Step Convert Units

∴

F v = \frac{2.5E+8Pa}{289} \cdot (0.9 + (\frac{1 - 0.9}{1.15 \cdot \sqrt{1 + {(\frac{0.05m}{0.9m})}^{2}}}))

Next Step Prepare to Evaluate

∴

F v = \frac{2.5E+8}{289} \cdot (0.9 + (\frac{1 - 0.9}{1.15 \cdot \sqrt{1 + {(\frac{0.05}{0.9})}^{2}}}))

Next Step Evaluate

∴

F v = 853652.802257064Pa

Next Step Convert to Output's Unit

∴

F v = 0.853652802257064MPa

LAST Step Rounding Answer

∴

F v = 0.8537MPa

Allowable Shear Stress with Tension Field Action Formula Elements

Variables

Functions

Allowable Shear Stress

Allowable Shear Stress is the maximum limit of shear stress accommodated in a member.

Symbol: F_v

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Allowable Shear Stress

Yield Stress of Steel

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.

Symbol: F_y

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Yield Stress of Steel

Stress Buckling Coefficient

Stress Buckling Coefficient is determined using theoretical critical load analysis.

Symbol: C_v

Measurement: NAUnit: Unitless

Note: Value should be between 0.8 to 1.

Formulas to find Stress Buckling Coefficient

Spacing of Stiffeners

Spacing of Stiffeners is the distance between two stiffeners.

Symbol: a

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Spacing of Stiffeners

Height of Web

Height of Web is the distance between the top and bottom point of the web section.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Height of Web

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.

Syntax: sqrt(Number)

Other Formulas to find Allowable Shear Stress

Go Allowable Shear Stress without Tension Field Action

F v = \frac{C v \cdot F y}{289}

How to Evaluate Allowable Shear Stress with Tension Field Action?

Allowable Shear Stress with Tension Field Action evaluator 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 evaluate 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 evaluate Allowable Shear Stress with Tension Field Action using this online evaluator? To use this online evaluator 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.

FAQs on Allowable Shear Stress with Tension Field Action

What is the formula to find Allowable Shear Stress with Tension Field Action?

The formula of Allowable Shear Stress with Tension Field Action is expressed as 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)))). Here is an example- 8.5E-7 = 250000000/289*(0.9+((1-0.9)/(1.15*sqrt(1+(0.05/0.9)^2)))).

How to calculate Allowable Shear Stress with Tension Field Action?

With Yield Stress of Steel (F_y), Stress Buckling Coefficient (C_v), Spacing of Stiffeners (a) & Height of Web (h) we can find Allowable Shear Stress with Tension Field Action using the formula - 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)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Allowable Shear Stress?

Here are the different ways to Calculate Allowable Shear Stress-

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

Can the Allowable Shear Stress with Tension Field Action be negative?

No, the Allowable Shear Stress with Tension Field Action, measured in Stress cannot be negative.

Which unit is used to measure Allowable Shear Stress with Tension Field Action?

Allowable Shear Stress with Tension Field Action is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Allowable Shear Stress with Tension Field Action can be measured.

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Allowable Shear Stress with Tension Field Action Formula

​GoAllowable Shear Stress without Tension Field Action Formula

Allowable Shear Stress with Tension Field Action Example

Allowable Shear Stress with Tension Field Action Solution

Allowable Shear Stress with Tension Field Action Formula Elements

Other Formulas to find Allowable Shear Stress

How to Evaluate Allowable Shear Stress with Tension Field Action?

FAQs on Allowable Shear Stress with Tension Field Action

Variable Name

GoAllowable Shear Stress without Tension Field Action Formula