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Cross sectional area of Column Web Stiffeners Formula

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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. Check FAQs

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

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

Cross sectional area of Column Web Stiffeners Example

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Here is how the Cross sectional area of Column Web Stiffeners equation looks like with Values.

Here is how the Cross sectional area of Column Web Stiffeners equation looks like with Units.

Here is how the Cross sectional area of Column Web Stiffeners equation looks like.

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

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

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

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Cross sectional area of Column Web Stiffeners Solution

Follow our step by step solution on how to calculate Cross sectional area of Column Web Stiffeners?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A cs = \frac{5000kN - 50MPa \cdot 2mm \cdot (15mm + 5 \cdot 5mm)}{50MPa}

Next Step Prepare to Evaluate

∴

A cs = \frac{5000 - 50 \cdot 2 \cdot (15 + 5 \cdot 5)}{50}

LAST Step Evaluate

∴

A cs = 20m²

Cross sectional area of Column Web Stiffeners Formula Elements

Variables

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

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 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

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

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

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 Cross sectional area of Column Web Stiffeners?

Cross sectional area of Column Web Stiffeners evaluator uses Cross Sectional Plate Area = (Computed Force-Column Yield Stress*Column Web Thickness*(Flange Thickness+5*Distance Between Flange and Web))/Stiffener Yield Stress to evaluate the Cross Sectional Plate Area, The Cross Sectional Area of Column Web Stiffeners formula is defined as the flanges or moment-connection plates for end connections of beams and girders are welded to the flange of an I- or H-shape column, a pair of column-web stiffeners having a combined cross-sectional area. Cross Sectional Plate Area is denoted by A_cs symbol.

How to evaluate Cross sectional area of Column Web Stiffeners using this online evaluator? To use this online evaluator for Cross sectional area of Column Web Stiffeners, enter Computed Force (P_bf), Column Yield Stress (F_yc), Column Web Thickness (t_wc), Flange Thickness (t_f), Distance Between Flange and Web (K) & Stiffener Yield Stress (F_yst) and hit the calculate button.

FAQs on Cross sectional area of Column Web Stiffeners

What is the formula to find Cross sectional area of Column Web Stiffeners?

The formula of Cross sectional area of Column Web Stiffeners is expressed as Cross Sectional Plate Area = (Computed Force-Column Yield Stress*Column Web Thickness*(Flange Thickness+5*Distance Between Flange and Web))/Stiffener Yield Stress. Here is an example- 20 = (5000000-50000000*0.002*(0.015+5*0.005))/50000000.

How to calculate Cross sectional area of Column Web Stiffeners?

With Computed Force (P_bf), Column Yield Stress (F_yc), Column Web Thickness (t_wc), Flange Thickness (t_f), Distance Between Flange and Web (K) & Stiffener Yield Stress (F_yst) we can find Cross sectional area of Column Web Stiffeners using the formula - Cross Sectional Plate Area = (Computed Force-Column Yield Stress*Column Web Thickness*(Flange Thickness+5*Distance Between Flange and Web))/Stiffener Yield Stress.

Can the Cross sectional area of Column Web Stiffeners be negative?

No, the Cross sectional area of Column Web Stiffeners, measured in Area cannot be negative.

Which unit is used to measure Cross sectional area of Column Web Stiffeners?

Cross sectional area of Column Web Stiffeners is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Cross sectional area of Column Web Stiffeners can be measured.

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Cross sectional area of Column Web Stiffeners Formula

Cross sectional area of Column Web Stiffeners Example

Cross sectional area of Column Web Stiffeners Solution

Cross sectional area of Column Web Stiffeners Formula Elements

Other formulas in Design of Stiffeners under Loads category

How to Evaluate Cross sectional area of Column Web Stiffeners?

FAQs on Cross sectional area of Column Web Stiffeners

Variable Name