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Column-Web Depth Clear of Fillets Formula

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

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

d_c - Web Depth?t_wc - Column Web Thickness?F_yc - Column Yield Stress?P_bf - Computed Force?

Column-Web Depth Clear of Fillets Example

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With units

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Here is how the Column-Web Depth Clear of Fillets equation looks like with Values.

Here is how the Column-Web Depth Clear of Fillets equation looks like with Units.

Here is how the Column-Web Depth Clear of Fillets equation looks like.

46.3862 = \frac{4100 \cdot 2^{3} \cdot \sqrt{50}}{5000}

46.3862mm = \frac{4100 \cdot {2mm}^{3} \cdot \sqrt{50MPa}}{5000kN}

46.3862 = \frac{4100 \cdot 2^{3} \cdot \sqrt{50}}{5000}

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Column-Web Depth Clear of Fillets Solution

Follow our step by step solution on how to calculate Column-Web Depth Clear of Fillets?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d c = \frac{4100 \cdot {2mm}^{3} \cdot \sqrt{50MPa}}{5000kN}

Next Step Prepare to Evaluate

∴

d c = \frac{4100 \cdot 2^{3} \cdot \sqrt{50}}{5000}

Next Step Evaluate

∴

d c = 0.0463862048458375m

Next Step Convert to Output's Unit

∴

d c = 46.3862048458375mm

LAST Step Rounding Answer

∴

d c = 46.3862mm

Column-Web Depth Clear of Fillets Formula Elements

Variables

Functions

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

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

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

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

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 in Design of Stiffeners under Loads category

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}}

Go Computed Force for Column-Web Depth of Fillets

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

Go Cross sectional area of Column Web Stiffeners

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

Go Stiffener Yield Stress given Cross Sectional Area of Column Web Stiffeners

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

How to Evaluate Column-Web Depth Clear of Fillets?

Column-Web Depth Clear of Fillets evaluator uses Web Depth = (4100*Column Web Thickness^3*sqrt(Column Yield Stress))/Computed Force to evaluate the Web Depth, The Column-Web Depth Clear of Fillets formula is defined as a stiffener or a pair of stiffeners that must be provided opposite the beam-compression flange for the column-web depth clear of fillets. Web Depth is denoted by d_c symbol.

How to evaluate Column-Web Depth Clear of Fillets using this online evaluator? To use this online evaluator for Column-Web Depth Clear of Fillets, enter Column Web Thickness (t_wc), Column Yield Stress (F_yc) & Computed Force (P_bf) and hit the calculate button.

FAQs on Column-Web Depth Clear of Fillets

What is the formula to find Column-Web Depth Clear of Fillets?

The formula of Column-Web Depth Clear of Fillets is expressed as Web Depth = (4100*Column Web Thickness^3*sqrt(Column Yield Stress))/Computed Force. Here is an example- 46386.2 = (4100*0.002^3*sqrt(50000000))/5000000.

How to calculate Column-Web Depth Clear of Fillets?

With Column Web Thickness (t_wc), Column Yield Stress (F_yc) & Computed Force (P_bf) we can find Column-Web Depth Clear of Fillets using the formula - Web Depth = (4100*Column Web Thickness^3*sqrt(Column Yield Stress))/Computed Force. This formula also uses Square Root (sqrt) function(s).

Can the Column-Web Depth Clear of Fillets be negative?

No, the Column-Web Depth Clear of Fillets, measured in Length cannot be negative.

Which unit is used to measure Column-Web Depth Clear of Fillets?

Column-Web Depth Clear of Fillets is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Column-Web Depth Clear of Fillets can be measured.

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Column-Web Depth Clear of Fillets Formula

Column-Web Depth Clear of Fillets Example

Column-Web Depth Clear of Fillets Solution

Column-Web Depth Clear of Fillets Formula Elements

Other formulas in Design of Stiffeners under Loads category

How to Evaluate Column-Web Depth Clear of Fillets?

FAQs on Column-Web Depth Clear of Fillets

Variable Name