Eccentricity using Minimum Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Eccentricity of Loading = (1-(Minimum Stress Value*Column Cross Sectional Area/Eccentric load on column))*(Width of column/6)
eload = (1-(σmin*Asectional/P))*(b/6)
This formula uses 5 Variables
Variables Used
Eccentricity of Loading - (Measured in Meter) - Eccentricity of Loading is the distance between the actual line of action of loads and the line of action that would produce a uniform stress over the cross section of the specimen.
Minimum Stress Value - (Measured in Pascal) - The Minimum stress value for fluctuating stress is defined as refers to the minimum compressive stress.
Column Cross Sectional Area - (Measured in Square Meter) - Column Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.
Eccentric load on column - (Measured in Newton) - Eccentric load on column is the load that causes direct stress as well as bending stress.
Width of column - (Measured in Meter) - Width of column is describing how wide the column is.
STEP 1: Convert Input(s) to Base Unit
Minimum Stress Value: 0.001 Megapascal --> 1000 Pascal (Check conversion ​here)
Column Cross Sectional Area: 1.4 Square Meter --> 1.4 Square Meter No Conversion Required
Eccentric load on column: 7 Kilonewton --> 7000 Newton (Check conversion ​here)
Width of column: 600 Millimeter --> 0.6 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
eload = (1-(σmin*Asectional/P))*(b/6) --> (1-(1000*1.4/7000))*(0.6/6)
Evaluating ... ...
eload = 0.08
STEP 3: Convert Result to Output's Unit
0.08 Meter -->80 Millimeter (Check conversion ​here)
FINAL ANSWER
80 Millimeter <-- Eccentricity of Loading
(Calculation completed in 00.007 seconds)

Credits

Creator Image
Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
Verifier Image
Verified by Dipto Mandal
Indian Institute of Information Technology (IIIT), Guwahati
Dipto Mandal has verified this Calculator and 400+ more calculators!

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)

Eccentricity using Minimum Stress Formula

Eccentricity of Loading = (1-(Minimum Stress Value*Column Cross Sectional Area/Eccentric load on column))*(Width of column/6)
eload = (1-(σmin*Asectional/P))*(b/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 Eccentricity using Minimum Stress?

Eccentricity using Minimum Stress calculator uses Eccentricity of Loading = (1-(Minimum Stress Value*Column Cross Sectional Area/Eccentric load on column))*(Width of column/6) to calculate the Eccentricity of Loading, The Eccentricity using minimum stress formula is defined as the distance from the center of gravity of the column section to the center of gravity of the applied load. Eccentricity of Loading is denoted by eload symbol.

How to calculate Eccentricity using Minimum Stress using this online calculator? To use this online calculator for Eccentricity using Minimum Stress, enter Minimum Stress Value min), Column Cross Sectional Area (Asectional), Eccentric load on column (P) & Width of column (b) and hit the calculate button. Here is how the Eccentricity using Minimum Stress calculation can be explained with given input values -> 80000 = (1-(1000*1.4/7000))*(0.6/6).

FAQ

What is Eccentricity using Minimum Stress?
The Eccentricity using minimum stress formula is defined as the distance from the center of gravity of the column section to the center of gravity of the applied load and is represented as eload = (1-(σmin*Asectional/P))*(b/6) or Eccentricity of Loading = (1-(Minimum Stress Value*Column Cross Sectional Area/Eccentric load on column))*(Width of column/6). The Minimum stress value for fluctuating stress is defined as refers to the minimum compressive stress, Column Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point, Eccentric load on column is the load that causes direct stress as well as bending stress & Width of column is describing how wide the column is.
How to calculate Eccentricity using Minimum Stress?
The Eccentricity using minimum stress formula is defined as the distance from the center of gravity of the column section to the center of gravity of the applied load is calculated using Eccentricity of Loading = (1-(Minimum Stress Value*Column Cross Sectional Area/Eccentric load on column))*(Width of column/6). To calculate Eccentricity using Minimum Stress, you need Minimum Stress Value min), Column Cross Sectional Area (Asectional), Eccentric load on column (P) & Width of column (b). With our tool, you need to enter the respective value for Minimum Stress Value, Column Cross Sectional Area, Eccentric load on 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 Eccentricity of Loading?
In this formula, Eccentricity of Loading uses Minimum Stress Value, Column Cross Sectional Area, Eccentric load on column & Width of column. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Eccentricity of Loading = ((Maximum Stress on Column Section*Column Cross Sectional Area/Eccentric load on column)-1)*(Width of column/6)
  • Eccentricity of Loading = (Bending Stress in Column*(Depth of Column*(Width of column^2)))/(6*Eccentric load on column)
  • Eccentricity of Loading = Moment due to eccentric load/Eccentric load on column
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!