Depth of Section of 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%
✖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 [b_f]			+10% -10%

✖Depth of Section of Column is defined as the depth of I section on the column.ⓘ Depth of Section of Column for Equivalent Cantilever Dimension [d]

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Formula

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Depth of Section of Column for Equivalent Cantilever Dimension

Formula

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

Example

`"40mm"=(("5")^2)*16/("10mm")`

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Depth of Section of Column for Equivalent Cantilever Dimension Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Equivalent Cantilever Dimension: 5 --> No Conversion Required
Width of Flange: 10 Millimeter --> 10 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = (n'^2)*16/(b_f) --> (5^2)*16/(10)

Evaluating ... ...

d = 40

STEP 3: Convert Result to Output's Unit

0.04 Meter -->40 Millimeter (Check conversion here)

FINAL ANSWER

40 Millimeter <-- Depth of Section of Column

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Columns » Allowable Design for Column » Allowable-Stress Design Approach (AISC) » Depth of Section of 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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Gautam Buddha University (GBU), Greater Noida

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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

Depth of Section of Column for Equivalent Cantilever Dimension Formula

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

Define a 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 Depth of Section of Column for Equivalent Cantilever Dimension?

Depth of Section of Column for Equivalent Cantilever Dimension calculator uses Depth of Section of Column = (Equivalent Cantilever Dimension^2)*16/(Width of Flange) to calculate the Depth of Section of Column, The Depth of Section of Column for Equivalent Cantilever Dimension formula is defined as the portion's length that emulates a cantilever's behavior. Depth of Section of Column is denoted by d symbol.

How to calculate Depth of Section of Column for Equivalent Cantilever Dimension using this online calculator? To use this online calculator for Depth of Section of Column for Equivalent Cantilever Dimension, enter Equivalent Cantilever Dimension (n') & Width of Flange (b_f) and hit the calculate button. Here is how the Depth of Section of Column for Equivalent Cantilever Dimension calculation can be explained with given input values -> 40000 = (5^2)*16/(0.01).

FAQ

What is Depth of Section of Column for Equivalent Cantilever Dimension?

The Depth of Section of Column for Equivalent Cantilever Dimension formula is defined as the portion's length that emulates a cantilever's behavior and is represented as d = (n'^2)*16/(b_f) or Depth of Section of Column = (Equivalent Cantilever Dimension^2)*16/(Width of Flange). Equivalent Cantilever Dimension is defined as a rigid structural element that extends horizontally and is supported at only one end & 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.

How to calculate Depth of Section of Column for Equivalent Cantilever Dimension?

The Depth of Section of Column for Equivalent Cantilever Dimension formula is defined as the portion's length that emulates a cantilever's behavior is calculated using Depth of Section of Column = (Equivalent Cantilever Dimension^2)*16/(Width of Flange). To calculate Depth of Section of Column for Equivalent Cantilever Dimension, you need Equivalent Cantilever Dimension (n') & Width of Flange (b_f). With our tool, you need to enter the respective value for Equivalent Cantilever Dimension & Width of Flange 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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