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Slenderness of Web and Flange given Stiffeners and Concentrated Load Formula

GoRelative Slenderness of Web and Flange Formula

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Slenderness of Web and Flange of a structural element is a measure of its susceptibility to buckling under compressive stress. Check FAQs

r wf = {(\frac{(\frac{R \cdot h}{6800 \cdot {t w}^{3}}) - 1}{0.4})}^{\frac{1}{3}}

r_wf - Slenderness of Web and Flange?R - Concentrated Load of Reaction?h - Clear Distance between Flanges?t_w - Web Thickness?

Slenderness of Web and Flange given Stiffeners and Concentrated Load Example

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Here is how the Slenderness of Web and Flange given Stiffeners and Concentrated Load equation looks like with Values.

Here is how the Slenderness of Web and Flange given Stiffeners and Concentrated Load equation looks like with Units.

Here is how the Slenderness of Web and Flange given Stiffeners and Concentrated Load equation looks like.

2.0034 = {(\frac{(\frac{235 \cdot 122}{6800 \cdot 100^{3}}) - 1}{0.4})}^{\frac{1}{3}}

2.0034 = {(\frac{(\frac{235kN \cdot 122mm}{6800 \cdot {100mm}^{3}}) - 1}{0.4})}^{\frac{1}{3}}

2.0034 = {(\frac{(\frac{235 \cdot 122}{6800 \cdot 100^{3}}) - 1}{0.4})}^{\frac{1}{3}}

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Slenderness of Web and Flange given Stiffeners and Concentrated Load Solution

Follow our step by step solution on how to calculate Slenderness of Web and Flange given Stiffeners and Concentrated Load?

FIRST Step Consider the formula

r wf = {(\frac{(\frac{R \cdot h}{6800 \cdot {t w}^{3}}) - 1}{0.4})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

r wf = {(\frac{(\frac{235kN \cdot 122mm}{6800 \cdot {100mm}^{3}}) - 1}{0.4})}^{\frac{1}{3}}

Next Step Convert Units

∴

r wf = {(\frac{(\frac{235kN \cdot 0.122m}{6800 \cdot {0.1m}^{3}}) - 1}{0.4})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

r wf = {(\frac{(\frac{235 \cdot 0.122}{6800 \cdot {0.1}^{3}}) - 1}{0.4})}^{\frac{1}{3}}

Next Step Evaluate

∴

r wf = 2.00336443515364

LAST Step Rounding Answer

∴

r wf = 2.0034

Slenderness of Web and Flange given Stiffeners and Concentrated Load Formula Elements

Variables

Slenderness of Web and Flange

Slenderness of Web and Flange of a structural element is a measure of its susceptibility to buckling under compressive stress.

Symbol: r_wf

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Slenderness of Web and Flange

Concentrated Load of Reaction

Concentrated Load of Reaction is the reaction force that is assumed to act at a single point on the structure.

Symbol: R

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Concentrated Load of Reaction

Clear Distance between Flanges

Clear Distance between Flanges refers to the distance between the two endpoints of the flange. That is the height of the web including fillets.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Clear Distance between Flanges

Web Thickness

Web Thickness is the thickness of the web section in the member of I section.

Symbol: t_w

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Web Thickness

Other Formulas to find Slenderness of Web and Flange

Go Relative Slenderness of Web and Flange

r wf = \frac{\frac{d c}{t w}}{\frac{l max}{b f}}

Other formulas in Webs under Concentrated Loads category

Go Stress when Concentrated Load is Applied Close to Beam End

f a = \frac{R}{t w \cdot (N + 2.5 \cdot k)}

Go Stress for Concentrated Load Applied at Distance Larger than Depth of Beam

f a = \frac{R}{t w \cdot (N + 5 \cdot k)}

Go Length of Bearing when Load applied at Distance Larger than Depth of Beam

N = (\frac{R}{f a \cdot t w}) - 5 \cdot k

Go Web Thickness for Given Stress

t w = \frac{R}{f a \cdot (N + 5 \cdot k)}

How to Evaluate Slenderness of Web and Flange given Stiffeners and Concentrated Load?

Slenderness of Web and Flange given Stiffeners and Concentrated Load evaluator uses Slenderness of Web and Flange = ((((Concentrated Load of Reaction*Clear Distance between Flanges)/(6800*Web Thickness^3))-1)/0.4)^(1/3) to evaluate the Slenderness of Web and Flange, The Slenderness of Web and Flange given Stiffeners and Concentrated Load formula is defined as the slenderness ratios of web and flange, web thickness, column load and clear distance between flanges used for finding slenderness. Slenderness of Web and Flange is denoted by r_wf symbol.

How to evaluate Slenderness of Web and Flange given Stiffeners and Concentrated Load using this online evaluator? To use this online evaluator for Slenderness of Web and Flange given Stiffeners and Concentrated Load, enter Concentrated Load of Reaction (R), Clear Distance between Flanges (h) & Web Thickness (t_w) and hit the calculate button.

FAQs on Slenderness of Web and Flange given Stiffeners and Concentrated Load

What is the formula to find Slenderness of Web and Flange given Stiffeners and Concentrated Load?

The formula of Slenderness of Web and Flange given Stiffeners and Concentrated Load is expressed as Slenderness of Web and Flange = ((((Concentrated Load of Reaction*Clear Distance between Flanges)/(6800*Web Thickness^3))-1)/0.4)^(1/3). Here is an example- 21.92394 = ((((235000*0.122)/(6800*0.1^3))-1)/0.4)^(1/3).

How to calculate Slenderness of Web and Flange given Stiffeners and Concentrated Load?

With Concentrated Load of Reaction (R), Clear Distance between Flanges (h) & Web Thickness (t_w) we can find Slenderness of Web and Flange given Stiffeners and Concentrated Load using the formula - Slenderness of Web and Flange = ((((Concentrated Load of Reaction*Clear Distance between Flanges)/(6800*Web Thickness^3))-1)/0.4)^(1/3).

What are the other ways to Calculate Slenderness of Web and Flange?

Here are the different ways to Calculate Slenderness of Web and Flange-

Slenderness of Web and Flange=(Web Depth/Web Thickness)/(Maximum Unbraced Length/Width of Compression Flange)

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Slenderness of Web and Flange given Stiffeners and Concentrated Load Formula

​GoRelative Slenderness of Web and Flange Formula

Slenderness of Web and Flange given Stiffeners and Concentrated Load Example

Slenderness of Web and Flange given Stiffeners and Concentrated Load Solution

Slenderness of Web and Flange given Stiffeners and Concentrated Load Formula Elements

Other Formulas to find Slenderness of Web and Flange

Other formulas in Webs under Concentrated Loads category

How to Evaluate Slenderness of Web and Flange given Stiffeners and Concentrated Load?

FAQs on Slenderness of Web and Flange given Stiffeners and Concentrated Load

Variable Name

GoRelative Slenderness of Web and Flange Formula