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Computed Force for Column-Web Depth of Fillets Formula

GoComputed Load given Cross-Sectional Area of Column Web Stiffeners Formula

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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). Check FAQs

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

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

Computed Force for Column-Web Depth of Fillets Example

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

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

Here is how the Computed Force for Column-Web Depth of Fillets equation looks like.

5041.9788 = \frac{4100 \cdot 2^{3} \cdot \sqrt{50}}{46}

5041.9788kN = \frac{4100 \cdot {2mm}^{3} \cdot \sqrt{50MPa}}{46mm}

5041.9788 = \frac{4100 \cdot 2^{3} \cdot \sqrt{50}}{46}

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Computed Force for Column-Web Depth of Fillets Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P bf = \frac{4100 \cdot {2mm}^{3} \cdot \sqrt{50MPa}}{46mm}

Next Step Prepare to Evaluate

∴

P bf = \frac{4100 \cdot 2^{3} \cdot \sqrt{50}}{46}

Next Step Evaluate

∴

P bf = 5041978.78759104N

Next Step Convert to Output's Unit

∴

P bf = 5041.97878759104kN

LAST Step Rounding Answer

∴

P bf = 5041.9788kN

Computed Force for Column-Web Depth of Fillets Formula Elements

Variables

Functions

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

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

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

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 Computed Force

Go Computed Load given Cross-Sectional Area of Column Web Stiffeners

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

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}}

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 Computed Force for Column-Web Depth of Fillets?

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

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

FAQs on Computed Force for Column-Web Depth of Fillets

What is the formula to find Computed Force for Column-Web Depth of Fillets?

The formula of Computed Force for Column-Web Depth of Fillets is expressed as Computed Force = (4100*Column Web Thickness^3*sqrt(Column Yield Stress))/Web Depth. Here is an example- 3.3133 = (4100*0.002^3*sqrt(50000000))/0.046.

How to calculate Computed Force for Column-Web Depth of Fillets?

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

What are the other ways to Calculate Computed Force?

Here are the different ways to Calculate Computed Force-

Computed Force=(Cross Sectional Plate Area*Stiffener Yield Stress)+(Column Yield Stress*Column Web Thickness*(Flange Thickness+5*Distance Between Flange and Web))

Can the Computed Force for Column-Web Depth of Fillets be negative?

No, the Computed Force for Column-Web Depth of Fillets, measured in Force cannot be negative.

Which unit is used to measure Computed Force for Column-Web Depth of Fillets?

Computed Force for Column-Web Depth of Fillets is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Computed Force for Column-Web Depth of Fillets can be measured.

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Computed Force for Column-Web Depth of Fillets Formula

​GoComputed Load given Cross-Sectional Area of Column Web Stiffeners Formula

Computed Force for Column-Web Depth of Fillets Example

Computed Force for Column-Web Depth of Fillets Solution

Computed Force for Column-Web Depth of Fillets Formula Elements

Other Formulas to find Computed Force

Other formulas in Design of Stiffeners under Loads category

How to Evaluate Computed Force for Column-Web Depth of Fillets?

FAQs on Computed Force for Column-Web Depth of Fillets

Variable Name

GoComputed Load given Cross-Sectional Area of Column Web Stiffeners Formula