Width of Column given Bending Stress and Moment due to Load Calculator

✖Moment due to Eccentric Load is at any point of column section due to eccentric load.ⓘ Moment due to Eccentric Load [M]			+10% -10%
✖Depth of Column is the distance from the top or surface to the bottom of something.ⓘ Depth of Column [h]			+10% -10%
✖Bending Stress in Column is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.ⓘ Bending Stress in Column [σ_b]			+10% -10%

✖Width of Column is describe that how wide the column is.ⓘ Width of Column given Bending Stress and Moment due to Load [b]

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Width of Column given Bending Stress and Moment due to Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Column = sqrt((6*Moment due to Eccentric Load)/(Depth of Column*Bending Stress in Column))
b = sqrt((6*M)/(h*σ_b))
This formula uses 1 Functions, 4 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

Width of Column - (Measured in Meter) - Width of Column is describe that how wide the column is.
Moment due to Eccentric Load - (Measured in Newton Meter) - Moment due to Eccentric Load is at any point of column section due to eccentric load.
Depth of Column - (Measured in Meter) - Depth of Column is the distance from the top or surface to the bottom of something.
Bending Stress in Column - (Measured in Pascal) - Bending Stress in Column is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.

STEP 1: Convert Input(s) to Base Unit

Moment due to Eccentric Load: 8.1 Newton Meter --> 8.1 Newton Meter No Conversion Required
Depth of Column: 3000 Millimeter --> 3 Meter (Check conversion here)
Bending Stress in Column: 0.04 Megapascal --> 40000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = sqrt((6*M)/(h*σ_b)) --> sqrt((6*8.1)/(3*40000))

Evaluating ... ...

b = 0.0201246117974981

STEP 3: Convert Result to Output's Unit

0.0201246117974981 Meter -->20.1246117974981 Millimeter (Check conversion here)

FINAL ANSWER

20.1246117974981 ≈ 20.12461 Millimeter <-- Width of Column

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Rectangular Section Is Subjected to Eccentric Load Calculators

Minimum Stress using Eccentric Load and Eccentricity

LaTeX Go Minimum Stress Value = (Eccentric Load on Column*(1-(6*Eccentricity of Loading/Width of Column)))/(Column Cross Sectional Area)

Eccentric Load using Minimum Stress

LaTeX Go Eccentric Load on Column = (Minimum Stress Value*Column Cross Sectional Area)/(1-(6*Eccentricity of Loading/Width of Column))

Eccentricity using Minimum Stress

LaTeX Go Eccentricity of Loading = (1-(Minimum Stress Value*Column Cross Sectional Area/Eccentric Load on Column))*(Width of Column/6)

Minimum Stress

LaTeX Go Minimum Stress Value = (Direct Stress-Bending Stress in Column)

Width of Column given Bending Stress and Moment due to Load Formula

LaTeX Go

Width of Column = sqrt((6*Moment due to Eccentric Load)/(Depth of Column*Bending Stress in Column))
b = sqrt((6*M)/(h*σ_b))

What type of Stress is Developed due to Bending?

In torsion of a circular shaft, the action was all shear; contiguous cross sections sheared over one another in their rotation about the axis of the shaft. Here, the major stresses induced due to bending are normal stresses of tension and compression.

How to Calculate Width of Column given Bending Stress and Moment due to Load?

Width of Column given Bending Stress and Moment due to Load calculator uses Width of Column = sqrt((6*Moment due to Eccentric Load)/(Depth of Column*Bending Stress in Column)) to calculate the Width of Column, The Width of Column given Bending Stress and Moment due to Load formula is defined as the width of a column that can withstand a given bending stress and moment due to load, providing a critical dimension for structural integrity in construction and engineering applications. Width of Column is denoted by b symbol.

How to calculate Width of Column given Bending Stress and Moment due to Load using this online calculator? To use this online calculator for Width of Column given Bending Stress and Moment due to Load, enter Moment due to Eccentric Load (M), Depth of Column (h) & Bending Stress in Column (σ_b) and hit the calculate button. Here is how the Width of Column given Bending Stress and Moment due to Load calculation can be explained with given input values -> 20124.61 = sqrt((6*8.1)/(3*40000)).

FAQ

What is Width of Column given Bending Stress and Moment due to Load?

The Width of Column given Bending Stress and Moment due to Load formula is defined as the width of a column that can withstand a given bending stress and moment due to load, providing a critical dimension for structural integrity in construction and engineering applications and is represented as b = sqrt((6*M)/(h*σ_b)) or Width of Column = sqrt((6*Moment due to Eccentric Load)/(Depth of Column*Bending Stress in Column)). Moment due to Eccentric Load is at any point of column section due to eccentric load, Depth of Column is the distance from the top or surface to the bottom of something & Bending Stress in Column is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.

How to calculate Width of Column given Bending Stress and Moment due to Load?

The Width of Column given Bending Stress and Moment due to Load formula is defined as the width of a column that can withstand a given bending stress and moment due to load, providing a critical dimension for structural integrity in construction and engineering applications is calculated using Width of Column = sqrt((6*Moment due to Eccentric Load)/(Depth of Column*Bending Stress in Column)). To calculate Width of Column given Bending Stress and Moment due to Load, you need Moment due to Eccentric Load (M), Depth of Column (h) & Bending Stress in Column (σ_b). With our tool, you need to enter the respective value for Moment due to Eccentric Load, Depth of Column & Bending Stress in Column and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Width of Column?

In this formula, Width of Column uses Moment due to Eccentric Load, Depth of Column & Bending Stress in Column. We can use 1 other way(s) to calculate the same, which is/are as follows -

Width of Column = sqrt((6*Eccentric Load on Column*Eccentricity of Loading)/(Depth of Column*Bending Stress in Column))

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