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Width of Flange Column for Equivalent Cantilever Dimension Formula

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

b f = ({n'}^{2}) \cdot \frac{16}{d}

b_f - Width of Flange?n' - Equivalent Cantilever Dimension?d - Depth of Section of Column?

Width of Flange Column for Equivalent Cantilever Dimension Example

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Here is how the Width of Flange Column for Equivalent Cantilever Dimension equation looks like with Values.

Here is how the Width of Flange Column for Equivalent Cantilever Dimension equation looks like with Units.

Here is how the Width of Flange Column for Equivalent Cantilever Dimension equation looks like.

15.3846 = (5^{2}) \cdot \frac{16}{26}

15.3846mm = (5^{2}) \cdot \frac{16}{26mm}

15.3846 = (5^{2}) \cdot \frac{16}{26}

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Width of Flange Column for Equivalent Cantilever Dimension Solution

Follow our step by step solution on how to calculate Width of Flange Column for Equivalent Cantilever Dimension?

FIRST Step Consider the formula

b f = ({n'}^{2}) \cdot \frac{16}{d}

Next Step Substitute values of Variables

∴

b f = (5^{2}) \cdot \frac{16}{26mm}

Next Step Prepare to Evaluate

∴

b f = (5^{2}) \cdot \frac{16}{26}

Next Step Evaluate

∴

b f = 0.0153846153846154m

Next Step Convert to Output's Unit

∴

b f = 15.3846153846154mm

LAST Step Rounding Answer

∴

b f = 15.3846mm

Width of Flange Column for Equivalent Cantilever Dimension Formula Elements

Variables

Width of Flange

Width of Flange is defined as that portion of 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 Flange

Equivalent Cantilever Dimension

Equivalent Cantilever Dimension is defined as a rigid structural element that extends horizontally and is supported at only one end.

Symbol: n'

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Equivalent Cantilever Dimension

Depth of Section of Column

Depth of Section of Column is defined as the depth of I section on the column.

Symbol: d

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Depth of Section of Column

Other formulas in Allowable Stress Design Approach (AISC) category

Go Area of Foundation of Lowest Column of Structure

A = \frac{P}{F p}

Go Load using Area of Lowest Column of Structure

P = F p \cdot A

Go Allowable Bearing Pressure given Area of Lowest Column of Structure

F p = \frac{P}{A}

Go Allowable Bearing Pressure when Full Area of Support is Occupied by Base Plate

F p = 0.35 \cdot f' c

How to Evaluate Width of Flange Column for Equivalent Cantilever Dimension?

Width of Flange Column for Equivalent Cantilever Dimension evaluator uses Width of Flange = (Equivalent Cantilever Dimension^2)*16/(Depth of Section of Column) to evaluate the Width of Flange, The Width of Flange Column for Equivalent Cantilever Dimension formula is defined as the minimum width required to match the deflection of a cantilever beam with the column's lateral displacement. Width of Flange is denoted by b_f symbol.

How to evaluate Width of Flange Column for Equivalent Cantilever Dimension using this online evaluator? To use this online evaluator for Width of Flange Column for Equivalent Cantilever Dimension, enter Equivalent Cantilever Dimension (n') & Depth of Section of Column (d) and hit the calculate button.

FAQs on Width of Flange Column for Equivalent Cantilever Dimension

What is the formula to find Width of Flange Column for Equivalent Cantilever Dimension?

The formula of Width of Flange Column for Equivalent Cantilever Dimension is expressed as Width of Flange = (Equivalent Cantilever Dimension^2)*16/(Depth of Section of Column). Here is an example- 15384.62 = (5^2)*16/(0.026).

How to calculate Width of Flange Column for Equivalent Cantilever Dimension?

With Equivalent Cantilever Dimension (n') & Depth of Section of Column (d) we can find Width of Flange Column for Equivalent Cantilever Dimension using the formula - Width of Flange = (Equivalent Cantilever Dimension^2)*16/(Depth of Section of Column).

Can the Width of Flange Column for Equivalent Cantilever Dimension be negative?

No, the Width of Flange Column for Equivalent Cantilever Dimension, measured in Length cannot be negative.

Which unit is used to measure Width of Flange Column for Equivalent Cantilever Dimension?

Width of Flange Column for Equivalent Cantilever Dimension is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Width of Flange Column for Equivalent Cantilever Dimension can be measured.

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