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Equivalent Cantilever Dimension Formula

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

n' = (\frac{1}{4}) \cdot \sqrt{d \cdot b f}

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

Equivalent Cantilever Dimension Example

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Here is how the Equivalent Cantilever Dimension equation looks like with Values.

Here is how the Equivalent Cantilever Dimension equation looks like with Units.

Here is how the Equivalent Cantilever Dimension equation looks like.

4.0311 = (\frac{1}{4}) \cdot \sqrt{26 \cdot 10}

4.0311 = (\frac{1}{4}) \cdot \sqrt{26mm \cdot 10mm}

4.0311 = (\frac{1}{4}) \cdot \sqrt{26 \cdot 10}

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Equivalent Cantilever Dimension Solution

Follow our step by step solution on how to calculate Equivalent Cantilever Dimension?

FIRST Step Consider the formula

n' = (\frac{1}{4}) \cdot \sqrt{d \cdot b f}

Next Step Substitute values of Variables

∴

n' = (\frac{1}{4}) \cdot \sqrt{26mm \cdot 10mm}

Next Step Prepare to Evaluate

∴

n' = (\frac{1}{4}) \cdot \sqrt{26 \cdot 10}

Next Step Evaluate

∴

n' = 4.03112887414927

LAST Step Rounding Answer

∴

n' = 4.0311

Equivalent Cantilever Dimension Formula Elements

Variables

Functions

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

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

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 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 Equivalent Cantilever Dimension?

Equivalent Cantilever Dimension evaluator uses Equivalent Cantilever Dimension = (1/4)*sqrt(Depth of Section of Column*Width of Flange) to evaluate the Equivalent Cantilever Dimension, The Equivalent Cantilever Dimension formula is defined as the rigid structural element that extends horizontally and is supported at only one end. Equivalent Cantilever Dimension is denoted by n' symbol.

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

FAQs on Equivalent Cantilever Dimension

What is the formula to find Equivalent Cantilever Dimension?

The formula of Equivalent Cantilever Dimension is expressed as Equivalent Cantilever Dimension = (1/4)*sqrt(Depth of Section of Column*Width of Flange). Here is an example- 4.031129 = (1/4)*sqrt(0.026*0.01).

How to calculate Equivalent Cantilever Dimension?

With Depth of Section of Column (d) & Width of Flange (b_f) we can find Equivalent Cantilever Dimension using the formula - Equivalent Cantilever Dimension = (1/4)*sqrt(Depth of Section of Column*Width of Flange). This formula also uses Square Root (sqrt) function(s).

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