Equivalent Cantilever Dimension Calculator

✖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 [b_f]			+10% -10%

✖Equivalent Cantilever Dimension is defined as a rigid structural element that extends horizontally and is supported at only one end.ⓘ Equivalent Cantilever Dimension [n']

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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*b_f)
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*b_f) --> (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)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Cummins College of Engineering for Women (CCEW), Pune

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Equivalent Cantilever Dimension Formula

LaTeX Go

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

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 (b_f) 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*b_f) 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 (b_f). 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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