Moment Due to Load given Bending Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Moment due to eccentric load = (Bending Stress in Column*(Depth of Column*(Width of column^2)))/6
M = (σb*(h*(b^2)))/6
This formula uses 4 Variables
Variables Used
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.
Depth of Column - (Measured in Meter) - Depth of Column is the distance from the top or surface to the bottom of something.
Width of column - (Measured in Meter) - Width of column is describing how wide the column is.
STEP 1: Convert Input(s) to Base Unit
Bending Stress in Column: 0.04 Megapascal --> 40000 Pascal (Check conversion here)
Depth of Column: 3000 Millimeter --> 3 Meter (Check conversion here)
Width of column: 600 Millimeter --> 0.6 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
M = (σb*(h*(b^2)))/6 --> (40000*(3*(0.6^2)))/6
Evaluating ... ...
M = 7200
STEP 3: Convert Result to Output's Unit
7200 Newton Meter --> No Conversion Required
FINAL ANSWER
7200 Newton Meter <-- Moment due to eccentric load
(Calculation completed in 00.004 seconds)

Credits

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National Institute Of Technology (NIT), Hamirpur
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22 Rectangular Section Is Subjected To Eccentric Load Calculators

Maximum stress when subjected to eccentric axial load
Go Maximum Stress on Column Section = (Eccentric load on column/Column Cross Sectional Area)+((Eccentric load on column*Eccentricity of Loading*Distance of Outer Fibre from Neutral Axis)/Moment of Inertia about y-y axis)
Width of Column using Bending Stress and Eccentric load
Go Width of column = sqrt((6*Eccentric load on column*Eccentricity of Loading)/(Depth of Column*Bending Stress in Column))
Maximum Stress given Eccentric Load and Eccentricity
Go Maximum Stress on Column Section = (Eccentric load on column*(1+(6*Eccentricity of Loading/Width of column)))/(Column Cross Sectional Area)
Eccentric Load using Maximum Stress
Go Eccentric load on column = (Maximum Stress on Column Section*Column Cross Sectional Area)/(1+(6*Eccentricity of Loading/Width of column))
Eccentricity using Maximum Stress
Go Eccentricity of Loading = ((Maximum Stress on Column Section*Column Cross Sectional Area/Eccentric load on column)-1)*(Width of column/6)
Minimum Stress using Eccentric Load and Eccentricity
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
Go Eccentric load on column = (Minimum Stress Value*Column Cross Sectional Area)/(1-(6*Eccentricity of Loading/Width of column))
Eccentricity using Minimum Stress
Go Eccentricity of Loading = (1-(Minimum Stress Value*Column Cross Sectional Area/Eccentric load on column))*(Width of column/6)
Eccentric Load using Bending Stress
Go Eccentric load on column = (Bending Stress in Column*(Depth of Column*(Width of column^2)))/(6*Eccentricity of Loading)
Eccentricity using Bending Stress
Go Eccentricity of Loading = (Bending Stress in Column*(Depth of Column*(Width of column^2)))/(6*Eccentric load on column)
Depth of Column using Bending Stress and Eccentric load
Go Depth of Column = (6*Eccentric load on column*Eccentricity of Loading)/(Bending Stress in Column*(Width of column^2))
Bending Stress using Eccentric Load and Eccentricity
Go Bending Stress in Column = (6*Eccentric load on column*Eccentricity of Loading)/(Depth of Column*(Width of column^2))
Width of Column given Bending Stress and Moment due to Load
Go Width of column = sqrt((6*Moment due to eccentric load)/(Depth of Column*Bending Stress in Column))
Depth of Column using Bending Stress and Moment Due to Load
Go Depth of Column = (6*Moment due to eccentric load)/(Bending Stress in Column*(Width of column^2))
Moment Due to Load given Bending Stress
Go Moment due to eccentric load = (Bending Stress in Column*(Depth of Column*(Width of column^2)))/6
Bending Stress given Moment due to Load
Go Bending Stress in Column = (6*Moment due to eccentric load)/(Depth of Column*(Width of column^2))
Eccentricity for given moment due to eccentric load
Go Eccentricity of Loading = Moment due to eccentric load/Eccentric load on column
Load given Moment due to Eccentric Load
Go Eccentric load on column = Moment due to eccentric load/Eccentricity of Loading
Moment due to eccentric load
Go Moment due to eccentric load = Eccentric load on column*Eccentricity of Loading
Maximum stress
Go Maximum Stress on Column Section = (Direct stress+Bending Stress in Column)
Moment of inertia of column section about neutral axis
Go MOI of Area of Circular Section = (Depth of Column*(Width of column^3))/12
Minimum stress
Go Minimum Stress Value = (Direct Stress-Bending Stress in Column)

Moment Due to Load given Bending Stress Formula

Moment due to eccentric load = (Bending Stress in Column*(Depth of Column*(Width of column^2)))/6
M = (σb*(h*(b^2)))/6

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 Moment Due to Load given Bending Stress?

Moment Due to Load given Bending Stress calculator uses Moment due to eccentric load = (Bending Stress in Column*(Depth of Column*(Width of column^2)))/6 to calculate the Moment due to eccentric load, The Moment Due to Load given Bending Stress formula is defined as a geometrical property of an area which reflects how its points are distributed with regard to an arbitrary axis. Moment due to eccentric load is denoted by M symbol.

How to calculate Moment Due to Load given Bending Stress using this online calculator? To use this online calculator for Moment Due to Load given Bending Stress, enter Bending Stress in Column b), Depth of Column (h) & Width of column (b) and hit the calculate button. Here is how the Moment Due to Load given Bending Stress calculation can be explained with given input values -> 7200 = (40000*(3*(0.6^2)))/6.

FAQ

What is Moment Due to Load given Bending Stress?
The Moment Due to Load given Bending Stress formula is defined as a geometrical property of an area which reflects how its points are distributed with regard to an arbitrary axis and is represented as M = (σb*(h*(b^2)))/6 or Moment due to eccentric load = (Bending Stress in Column*(Depth of Column*(Width of column^2)))/6. 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, Depth of Column is the distance from the top or surface to the bottom of something & Width of column is describing how wide the column is.
How to calculate Moment Due to Load given Bending Stress?
The Moment Due to Load given Bending Stress formula is defined as a geometrical property of an area which reflects how its points are distributed with regard to an arbitrary axis is calculated using Moment due to eccentric load = (Bending Stress in Column*(Depth of Column*(Width of column^2)))/6. To calculate Moment Due to Load given Bending Stress, you need Bending Stress in Column b), Depth of Column (h) & Width of column (b). With our tool, you need to enter the respective value for Bending Stress in Column, Depth of 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 Moment due to eccentric load?
In this formula, Moment due to eccentric load uses Bending Stress in Column, Depth of Column & Width of column. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Moment due to eccentric load = Eccentric load on column*Eccentricity of Loading
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