Width of Flange Column for Equivalent Cantilever Dimension Calculator

✖Equivalent Cantilever Dimension is defined as a rigid structural element that extends horizontally and is supported at only one end.ⓘ Equivalent Cantilever Dimension [n']			+10% -10%
✖Depth of Section of Column is defined as the depth of I section on the column.ⓘ Depth of Section of Column [d]			+10% -10%

✖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.ⓘ Width of Flange Column for Equivalent Cantilever Dimension [b_f]

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Formula

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Width of Flange Column for Equivalent Cantilever Dimension

Formula

`"b"_{"f"} = ("n'"^2)*16/("d")`

Example

`"15.38462mm"=(("5")^2)*16/("26mm")`

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Width of Flange Column for Equivalent Cantilever Dimension Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Flange = (Equivalent Cantilever Dimension^2)*16/(Depth of Section of Column)
b_f = (n'^2)*16/(d)
This formula uses 3 Variables

Variables Used

Width of Flange - (Measured in Millimeter) - 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.
Equivalent Cantilever Dimension - Equivalent Cantilever Dimension is defined as a rigid structural element that extends horizontally and is supported at only one end.
Depth of Section of Column - (Measured in Millimeter) - Depth of Section of Column is defined as the depth of I section on the column.

STEP 1: Convert Input(s) to Base Unit

Equivalent Cantilever Dimension: 5 --> No Conversion Required
Depth of Section of Column: 26 Millimeter --> 26 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b_f = (n'^2)*16/(d) --> (5^2)*16/(26)

Evaluating ... ...

b_f = 15.3846153846154

STEP 3: Convert Result to Output's Unit

0.0153846153846154 Meter -->15.3846153846154 Millimeter (Check conversion here)

FINAL ANSWER

15.3846153846154 ≈ 15.38462 Millimeter <-- Width of Flange

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Columns » Allowable Design for Column » Allowable-Stress Design Approach (AISC) » Width of Flange Column for Equivalent Cantilever Dimension

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Created by Rachana B V

The National Institute of Engineering (NIE), Mysuru

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< 10+ Allowable-Stress Design Approach (AISC) Calculators

Base Plate Thickness

Go Base Plate Thickness = 2*Maximum Cantilever Dimension*(sqrt(Bearing Pressure on Base Plate/Yield Strength of Base Plate))

Bearing Pressure on Base Plate

Go Bearing Pressure on Base Plate = ((Base Plate Thickness^2)*Yield Strength of Base Plate)/(2*Maximum Cantilever Dimension)^2

Yeild Strength of Base Plate

Go Yield Strength of Base Plate = (2*Maximum Cantilever Dimension)^2*Bearing Pressure on Base Plate/(Base Plate Thickness)^2

Equivalent Cantilever Dimension

Go Equivalent Cantilever Dimension = (1/4)*sqrt(Depth of Section of Column*Width of Flange)

Depth of Section of Column for Equivalent Cantilever Dimension

Go Depth of Section of Column = (Equivalent Cantilever Dimension^2)*16/(Width of Flange)

Width of Flange Column for Equivalent Cantilever Dimension

Go Width of Flange = (Equivalent Cantilever Dimension^2)*16/(Depth of Section of Column)

Allowable Bearing Pressure given Area of Lowest Column of Structure

Go Allowable Bearing Pressure = Columns Axial Load/Area of Foundation

Area of Foundation of Lowest Column of Structure

Go Area of Foundation = Columns Axial Load/Allowable Bearing Pressure

Load using Area of Lowest Column of Structure

Go Columns Axial Load = Allowable Bearing Pressure*Area of Foundation

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

Go Allowable Bearing Pressure = 0.35*28-Day Compressive Strength of Concrete

Width of Flange Column for Equivalent Cantilever Dimension Formula

Width of Flange = (Equivalent Cantilever Dimension^2)*16/(Depth of Section of Column)
b_f = (n'^2)*16/(d)

What is Cantilever?

A cantilever is a rigid structural element that extends horizontally and is supported at only one end. Typically it extends from a flat vertical surface such as a wall, to which it must be firmly attached. Like other structural elements, a cantilever can be formed as a beam, plate, truss, or slab.

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

Width of Flange Column for Equivalent Cantilever Dimension calculator uses Width of Flange = (Equivalent Cantilever Dimension^2)*16/(Depth of Section of Column) to calculate 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 calculate Width of Flange Column for Equivalent Cantilever Dimension using this online calculator? To use this online calculator 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. Here is how the Width of Flange Column for Equivalent Cantilever Dimension calculation can be explained with given input values -> 15384.62 = (5^2)*16/(0.026).

FAQ

What is Width of Flange Column for Equivalent Cantilever Dimension?

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 and is represented as b_f = (n'^2)*16/(d) or Width of Flange = (Equivalent Cantilever Dimension^2)*16/(Depth of Section of Column). Equivalent Cantilever Dimension is defined as a rigid structural element that extends horizontally and is supported at only one end & Depth of Section of Column is defined as the depth of I section on the column.

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

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 is calculated using Width of Flange = (Equivalent Cantilever Dimension^2)*16/(Depth of Section of Column). To calculate Width of Flange Column for Equivalent Cantilever Dimension, you need Equivalent Cantilever Dimension (n') & Depth of Section of Column (d). With our tool, you need to enter the respective value for Equivalent Cantilever Dimension & Depth of Section of Column and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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