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Relative Slenderness of Web and Flange Formula

GoSlenderness of Web and Flange given Stiffeners and Concentrated Load 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{d c}{t w}}{\frac{l max}{b f}}

r_wf - Slenderness of Web and Flange?d_c - Web Depth?t_w - Web Thickness?l_max - Maximum Unbraced Length?b_f - Width of Compression Flange?

Relative Slenderness of Web and Flange Example

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Here is how the Relative Slenderness of Web and Flange equation looks like with Values.

Here is how the Relative Slenderness of Web and Flange equation looks like with Units.

Here is how the Relative Slenderness of Web and Flange equation looks like.

1.0776 = \frac{\frac{46}{100}}{\frac{1921}{4500}}

1.0776 = \frac{\frac{46mm}{100mm}}{\frac{1921mm}{4500mm}}

1.0776 = \frac{\frac{46}{100}}{\frac{1921}{4500}}

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Relative Slenderness of Web and Flange Solution

Follow our step by step solution on how to calculate Relative Slenderness of Web and Flange?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r wf = \frac{\frac{46mm}{100mm}}{\frac{1921mm}{4500mm}}

Next Step Convert Units

∴

r wf = \frac{\frac{0.046m}{0.1m}}{\frac{1.921m}{4.5m}}

Next Step Prepare to Evaluate

∴

r wf = \frac{\frac{0.046}{0.1}}{\frac{1.921}{4.5}}

Next Step Evaluate

∴

r wf = 1.07756376887038

LAST Step Rounding Answer

∴

r wf = 1.0776

Relative Slenderness of Web and Flange 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

Web Depth

Web Depth is the distance between the starting and end of the web ignoring the fillets at both sides.

Symbol: d_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Web Depth

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

Maximum Unbraced Length

Maximum Unbraced Length also known as the unsupported length, is the largest distance along a structural member between the brace points.

Symbol: l_max

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Maximum Unbraced Length

Width of Compression Flange

Width of Compression Flange is the portion of the slab that acts integrally with the beam and extends on either side of the beam forming the compression zone.

Symbol: b_f

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Compression Flange

Other Formulas to find Slenderness of Web and Flange

Go Slenderness of Web and Flange given Stiffeners and Concentrated Load

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

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 Relative Slenderness of Web and Flange?

Relative Slenderness of Web and Flange evaluator uses Slenderness of Web and Flange = (Web Depth/Web Thickness)/(Maximum Unbraced Length/Width of Compression Flange) to evaluate the Slenderness of Web and Flange, The Relative Slenderness of Web and Flange formula is defined as the ratio of slenderness of web and flange separately. The concentrated load limits depend on this value to decide whether web stiffeners are required or not, for the prevention of sideways web buckling. Slenderness of Web and Flange is denoted by r_wf symbol.

How to evaluate Relative Slenderness of Web and Flange using this online evaluator? To use this online evaluator for Relative Slenderness of Web and Flange, enter Web Depth (d_c), Web Thickness (t_w), Maximum Unbraced Length (l_max) & Width of Compression Flange (b_f) and hit the calculate button.

FAQs on Relative Slenderness of Web and Flange

What is the formula to find Relative Slenderness of Web and Flange?

The formula of Relative Slenderness of Web and Flange is expressed as Slenderness of Web and Flange = (Web Depth/Web Thickness)/(Maximum Unbraced Length/Width of Compression Flange). Here is an example- 1.639771 = (0.046/0.1)/(1.921/4.5).

How to calculate Relative Slenderness of Web and Flange?

With Web Depth (d_c), Web Thickness (t_w), Maximum Unbraced Length (l_max) & Width of Compression Flange (b_f) we can find Relative Slenderness of Web and Flange using the formula - Slenderness of Web and Flange = (Web Depth/Web Thickness)/(Maximum Unbraced Length/Width of Compression Flange).

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=((((Concentrated Load of Reaction*Clear Distance between Flanges)/(6800*Web Thickness^3))-1)/0.4)^(1/3)

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Relative Slenderness of Web and Flange Formula

​GoSlenderness of Web and Flange given Stiffeners and Concentrated Load Formula

Relative Slenderness of Web and Flange Example

Relative Slenderness of Web and Flange Solution

Relative Slenderness of Web and Flange Formula Elements

Other Formulas to find Slenderness of Web and Flange

Other formulas in Webs under Concentrated Loads category

How to Evaluate Relative Slenderness of Web and Flange?

FAQs on Relative Slenderness of Web and Flange

Variable Name

GoSlenderness of Web and Flange given Stiffeners and Concentrated Load Formula