Eccentricity using Maximum Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Eccentricity of Loading = ((Maximum Stress on Column Section*Column Cross Sectional Area/Eccentric Load on Column)-1)*(Width of Column/6)
eload = ((σmax*Asectional/P)-1)*(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.
Maximum Stress on Column Section - (Measured in Pascal) - Maximum Stress on Column Section is the maximum stress that the column material withstands before fracture.
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 describe that how wide the column is.
STEP 1: Convert Input(s) to Base Unit
Maximum Stress on Column Section: 0.3 Megapascal --> 300000 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 = ((σmax*Asectional/P)-1)*(b/6) --> ((300000*1.4/7000)-1)*(0.6/6)
Evaluating ... ...
eload = 5.9
STEP 3: Convert Result to Output's Unit
5.9 Meter -->5900 Millimeter (Check conversion ​here)
FINAL ANSWER
5900 Millimeter <-- Eccentricity of Loading
(Calculation completed in 00.004 seconds)

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Rectangular Section Is Subjected to Eccentric Load Calculators

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

Eccentricity using Maximum Stress Formula

​Go
Eccentricity of Loading = ((Maximum Stress on Column Section*Column Cross Sectional Area/Eccentric Load on Column)-1)*(Width of Column/6)
eload = ((σmax*Asectional/P)-1)*(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 Maximum Stress?

Eccentricity using Maximum Stress calculator uses Eccentricity of Loading = ((Maximum Stress on Column Section*Column Cross Sectional Area/Eccentric Load on Column)-1)*(Width of Column/6) to calculate the Eccentricity of Loading, The Eccentricity using Maximum Stress formula is defined as a measure of how much the neutral axis of a beam is offset from the centroid of the cross-section, which affects the beam's resistance to bending and stress. Eccentricity of Loading is denoted by eload symbol.

How to calculate Eccentricity using Maximum Stress using this online calculator? To use this online calculator for Eccentricity using Maximum Stress, enter Maximum Stress on Column Section max), 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 Maximum Stress calculation can be explained with given input values -> 5.9E+6 = ((300000*1.4/7000)-1)*(0.6/6).

FAQ

What is Eccentricity using Maximum Stress?
The Eccentricity using Maximum Stress formula is defined as a measure of how much the neutral axis of a beam is offset from the centroid of the cross-section, which affects the beam's resistance to bending and stress and is represented as eload = ((σmax*Asectional/P)-1)*(b/6) or Eccentricity of Loading = ((Maximum Stress on Column Section*Column Cross Sectional Area/Eccentric Load on Column)-1)*(Width of Column/6). Maximum Stress on Column Section is the maximum stress that the column material withstands before fracture, 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 describe that how wide the column is.
How to calculate Eccentricity using Maximum Stress?
The Eccentricity using Maximum Stress formula is defined as a measure of how much the neutral axis of a beam is offset from the centroid of the cross-section, which affects the beam's resistance to bending and stress is calculated using Eccentricity of Loading = ((Maximum Stress on Column Section*Column Cross Sectional Area/Eccentric Load on Column)-1)*(Width of Column/6). To calculate Eccentricity using Maximum Stress, you need Maximum Stress on Column Section max), 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 Maximum Stress on Column Section, 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 Maximum Stress on Column Section, 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 = (1-(Minimum Stress Value*Column Cross Sectional Area/Eccentric Load on Column))*(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
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