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Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area Formula

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Distance Between Flange and Web is the measured distance from the outer face of the flange to the web toe of its fillet if the section is in rolled shape. Check FAQs

K = \frac{(\frac{P bf - (A cs \cdot F yst)}{F yc \cdot t wc}) - t f}{5}

K - Distance Between Flange and Web?P_bf - Computed Force?A_cs - Cross Sectional Plate Area?F_yst - Stiffener Yield Stress?F_yc - Column Yield Stress?t_wc - Column Web Thickness?t_f - Flange Thickness?

Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area Example

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Here is how the Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area equation looks like with Values.

Here is how the Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area equation looks like with Units.

Here is how the Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area equation looks like.

5 = \frac{(\frac{5000 - (20 \cdot 50)}{50 \cdot 2}) - 15}{5}

5mm = \frac{(\frac{5000kN - (20m² \cdot 50MPa)}{50MPa \cdot 2mm}) - 15mm}{5}

5 = \frac{(\frac{5000 - (20 \cdot 50)}{50 \cdot 2}) - 15}{5}

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Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area Solution

Follow our step by step solution on how to calculate Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area?

FIRST Step Consider the formula

K = \frac{(\frac{P bf - (A cs \cdot F yst)}{F yc \cdot t wc}) - t f}{5}

Next Step Substitute values of Variables

∴

K = \frac{(\frac{5000kN - (20m² \cdot 50MPa)}{50MPa \cdot 2mm}) - 15mm}{5}

Next Step Prepare to Evaluate

∴

K = \frac{(\frac{5000 - (20 \cdot 50)}{50 \cdot 2}) - 15}{5}

Next Step Evaluate

∴

K = 0.005m

LAST Step Convert to Output's Unit

∴

K = 5mm

Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area Formula Elements

Variables

Distance Between Flange and Web

Distance Between Flange and Web is the measured distance from the outer face of the flange to the web toe of its fillet if the section is in rolled shape.

Symbol: K

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance Between Flange and Web

Computed Force

Computed Force delivered by the flange of a moment connection plate multiplied by 5/3 (dead and live loads only) and 4/3 (live and dead loads in conjunction with wind & earthquake forces).

Symbol: P_bf

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Computed Force

Cross Sectional Plate Area

Cross Sectional Plate Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.

Symbol: A_cs

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Plate Area

Stiffener Yield Stress

Stiffener Yield Stress is the minimum stress at which a stiffener will undergo permanent deformation or plastic flow without a significant increase in load.

Symbol: F_yst

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Stiffener Yield Stress

Column Yield Stress

Column Yield Stress is the minimum stress at which a column will undergo permanent deformation or plastic flow without a significant increase in load.

Symbol: F_yc

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Column Yield Stress

Column Web Thickness

Column Web Thickness is the smallest dimension measured perpendicular to height of column web.

Symbol: t_wc

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Column Web Thickness

Flange Thickness

The Flange Thickness is the thickness of a flange in a protruded ridge, lip or rim, either external or internal of a beam such as an I-beam or a T-beam.

Symbol: t_f

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Flange Thickness

Other formulas in Design of Stiffeners under Loads category

Go Column-Web Depth Clear of Fillets

d c = \frac{4100 \cdot {t wc}^{3} \cdot \sqrt{F yc}}{P bf}

Go Thickness of Column Web given Column Web Depth Clear of Fillets

t wc = {(\frac{d c \cdot P bf}{4100 \cdot \sqrt{F yc}})}^{\frac{1}{3}}

How to Evaluate Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area?

Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area evaluator uses Distance Between Flange and Web = (((Computed Force-(Cross Sectional Plate Area*Stiffener Yield Stress))/(Column Yield Stress*Column Web Thickness))-Flange Thickness)/5 to evaluate the Distance Between Flange and Web, The Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area formula is defined as the distance between the outer face of the column flange and the web toe of its fillet. Distance Between Flange and Web is denoted by K symbol.

How to evaluate Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area using this online evaluator? To use this online evaluator for Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area, enter Computed Force (P_bf), Cross Sectional Plate Area (A_cs), Stiffener Yield Stress (F_yst), Column Yield Stress (F_yc), Column Web Thickness (t_wc) & Flange Thickness (t_f) and hit the calculate button.

FAQs on Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area

What is the formula to find Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area?

The formula of Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area is expressed as Distance Between Flange and Web = (((Computed Force-(Cross Sectional Plate Area*Stiffener Yield Stress))/(Column Yield Stress*Column Web Thickness))-Flange Thickness)/5. Here is an example- 5700 = (((5000000-(20*50000000))/(50000000*0.002))-0.015)/5.

How to calculate Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area?

With Computed Force (P_bf), Cross Sectional Plate Area (A_cs), Stiffener Yield Stress (F_yst), Column Yield Stress (F_yc), Column Web Thickness (t_wc) & Flange Thickness (t_f) we can find Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area using the formula - Distance Between Flange and Web = (((Computed Force-(Cross Sectional Plate Area*Stiffener Yield Stress))/(Column Yield Stress*Column Web Thickness))-Flange Thickness)/5.

Can the Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area be negative?

No, the Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area, measured in Length cannot be negative.

Which unit is used to measure Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area?

Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area can be measured.

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Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area Formula

Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area Example

Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area Solution

Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area Formula Elements

Other formulas in Design of Stiffeners under Loads category

How to Evaluate Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area?

FAQs on Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area

Variable Name