Depth of Column using 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%
✖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 [b]			+10% -10%

✖Depth of Column is the distance from the top or surface to the bottom of something.ⓘ Depth of Column using Bending Stress and Moment Due to Load [h]

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Depth of Column using Bending Stress and Moment Due to Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Column = (6*Moment due to Eccentric Load)/(Bending Stress in Column*(Width of Column^2))
h = (6*M)/(σ_b*(b^2))
This formula uses 4 Variables

Variables Used

Depth of Column - (Measured in Meter) - Depth of Column is the distance from the top or surface to the bottom of something.
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.
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.
Width of Column - (Measured in Meter) - Width of Column is describe that how wide the column is.

STEP 1: Convert Input(s) to Base Unit

Moment due to Eccentric Load: 8.1 Newton Meter --> 8.1 Newton Meter No Conversion Required
Bending Stress in Column: 0.04 Megapascal --> 40000 Pascal (Check conversion here)
Width of Column: 600 Millimeter --> 0.6 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = (6*M)/(σ_b*(b^2)) --> (6*8.1)/(40000*(0.6^2))

Evaluating ... ...

h = 0.003375

STEP 3: Convert Result to Output's Unit

0.003375 Meter -->3.375 Millimeter (Check conversion here)

FINAL ANSWER

3.375 Millimeter <-- Depth 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)

Depth of Column using Bending Stress and Moment Due to Load Formula

LaTeX Go

Depth of Column = (6*Moment due to Eccentric Load)/(Bending Stress in Column*(Width of Column^2))
h = (6*M)/(σ_b*(b^2))

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 Depth of Column using Bending Stress and Moment Due to Load?

Depth of Column using Bending Stress and Moment Due to Load calculator uses Depth of Column = (6*Moment due to Eccentric Load)/(Bending Stress in Column*(Width of Column^2)) to calculate the Depth of Column, The Depth of Column using Bending Stress and Moment Due to Load formula is defined as a measure of the maximum height of a column that can withstand a given load without collapsing, taking into account the bending stress and moment of the load, providing a safe and efficient design for structural elements. Depth of Column is denoted by h symbol.

How to calculate Depth of Column using Bending Stress and Moment Due to Load using this online calculator? To use this online calculator for Depth of Column using Bending Stress and Moment Due to Load, enter Moment due to Eccentric Load (M), Bending Stress in Column (σ_b) & Width of Column (b) and hit the calculate button. Here is how the Depth of Column using Bending Stress and Moment Due to Load calculation can be explained with given input values -> 3375 = (6*8.1)/(40000*(0.6^2)).

FAQ

What is Depth of Column using Bending Stress and Moment Due to Load?

The Depth of Column using Bending Stress and Moment Due to Load formula is defined as a measure of the maximum height of a column that can withstand a given load without collapsing, taking into account the bending stress and moment of the load, providing a safe and efficient design for structural elements and is represented as h = (6*M)/(σ_b*(b^2)) or Depth of Column = (6*Moment due to Eccentric Load)/(Bending Stress in Column*(Width of Column^2)). Moment due to Eccentric Load is at any point of column section due to eccentric load, 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 & Width of Column is describe that how wide the column is.

How to calculate Depth of Column using Bending Stress and Moment Due to Load?

The Depth of Column using Bending Stress and Moment Due to Load formula is defined as a measure of the maximum height of a column that can withstand a given load without collapsing, taking into account the bending stress and moment of the load, providing a safe and efficient design for structural elements is calculated using Depth of Column = (6*Moment due to Eccentric Load)/(Bending Stress in Column*(Width of Column^2)). To calculate Depth of Column using Bending Stress and Moment Due to Load, you need Moment due to Eccentric Load (M), Bending Stress in Column (σ_b) & Width of Column (b). With our tool, you need to enter the respective value for Moment due to Eccentric Load, Bending Stress in Column & Width of 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 Depth of Column?

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

Depth of Column = (6*Eccentric Load on Column*Eccentricity of Loading)/(Bending Stress in Column*(Width of Column^2))

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