Equivalent Cantilever Dimension Solution

STEP 0: Pre-Calculation Summary
Formula Used
Equivalent Cantilever Dimension = (1/4)*sqrt(Depth of Section of Column*Width of Flange)
n' = (1/4)*sqrt(d*bf)
This formula uses 1 Functions, 3 Variables
Functions Used
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., sqrt(Number)
Variables Used
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.
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
Depth of Section of Column: 26 Millimeter --> 26 Millimeter No Conversion Required
Width of Flange: 10 Millimeter --> 10 Millimeter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
n' = (1/4)*sqrt(d*bf) --> (1/4)*sqrt(26*10)
Evaluating ... ...
n' = 4.03112887414927
STEP 3: Convert Result to Output's Unit
4.03112887414927 --> No Conversion Required
FINAL ANSWER
4.03112887414927 4.031129 <-- Equivalent Cantilever Dimension
(Calculation completed in 00.004 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has created this Calculator and 1000+ more calculators!
Verified by Rudrani Tidke
Cummins College of Engineering for Women (CCEW), Pune
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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

Equivalent Cantilever Dimension Formula

Equivalent Cantilever Dimension = (1/4)*sqrt(Depth of Section of Column*Width of Flange)
n' = (1/4)*sqrt(d*bf)

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.

What is the significance of Cantilever in Column?

Plate thickness may be determined by treating projections m and n of the base plate beyond the column as cantilevers. (If the base plate is small, the area of the base plate inside the column profile should be treated as a beam.)

How to Calculate Equivalent Cantilever Dimension?

Equivalent Cantilever Dimension calculator uses Equivalent Cantilever Dimension = (1/4)*sqrt(Depth of Section of Column*Width of Flange) to calculate 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 calculate Equivalent Cantilever Dimension using this online calculator? To use this online calculator for Equivalent Cantilever Dimension, enter Depth of Section of Column (d) & Width of Flange (bf) and hit the calculate button. Here is how the Equivalent Cantilever Dimension calculation can be explained with given input values -> 4.031129 = (1/4)*sqrt(0.026*0.01).

FAQ

What is 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 and is represented as n' = (1/4)*sqrt(d*bf) or Equivalent Cantilever Dimension = (1/4)*sqrt(Depth of Section of Column*Width of Flange). Depth of Section of Column is defined as the depth of I section on the column & 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 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 is calculated using Equivalent Cantilever Dimension = (1/4)*sqrt(Depth of Section of Column*Width of Flange). To calculate Equivalent Cantilever Dimension, you need Depth of Section of Column (d) & Width of Flange (bf). With our tool, you need to enter the respective value for Depth of Section of Column & 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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