Minimum Stress using Eccentric Load and Eccentricity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Minimum Stress Value = (Eccentric load on column*(1-(6*Eccentricity of Loading/Width of column)))/(Column Cross Sectional Area)
σmin = (P*(1-(6*eload/b)))/(Asectional)
This formula uses 5 Variables
Variables Used
Minimum Stress Value - (Measured in Pascal) - The Minimum stress value for fluctuating stress is defined as refers to the minimum compressive stress.
Eccentric load on column - (Measured in Newton) - Eccentric load on column is the load that causes direct stress as well as bending stress.
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.
Width of column - (Measured in Meter) - Width of column is describing how wide the column is.
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.
STEP 1: Convert Input(s) to Base Unit
Eccentric load on column: 7 Kilonewton --> 7000 Newton (Check conversion here)
Eccentricity of Loading: 25 Millimeter --> 0.025 Meter (Check conversion here)
Width of column: 600 Millimeter --> 0.6 Meter (Check conversion here)
Column Cross Sectional Area: 1.4 Square Meter --> 1.4 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σmin = (P*(1-(6*eload/b)))/(Asectional) --> (7000*(1-(6*0.025/0.6)))/(1.4)
Evaluating ... ...
σmin = 3750
STEP 3: Convert Result to Output's Unit
3750 Pascal -->0.00375 Megapascal (Check conversion here)
FINAL ANSWER
0.00375 Megapascal <-- Minimum Stress Value
(Calculation completed in 00.020 seconds)

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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)

Minimum Stress using Eccentric Load and Eccentricity Formula

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

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 Minimum Stress using Eccentric Load and Eccentricity?

Minimum Stress using Eccentric Load and Eccentricity calculator uses Minimum Stress Value = (Eccentric load on column*(1-(6*Eccentricity of Loading/Width of column)))/(Column Cross Sectional Area) to calculate the Minimum Stress Value, The Minimum stress using eccentric load and eccentricity formula is defined as refers to the minimum compressive stress. The stress range was taken as the absolute difference between the maximum and minimum stress. Minimum Stress Value is denoted by σmin symbol.

How to calculate Minimum Stress using Eccentric Load and Eccentricity using this online calculator? To use this online calculator for Minimum Stress using Eccentric Load and Eccentricity, enter Eccentric load on column (P), Eccentricity of Loading (eload), Width of column (b) & Column Cross Sectional Area (Asectional) and hit the calculate button. Here is how the Minimum Stress using Eccentric Load and Eccentricity calculation can be explained with given input values -> -5E-9 = (7000*(1-(6*0.025/0.6)))/(1.4).

FAQ

What is Minimum Stress using Eccentric Load and Eccentricity?
The Minimum stress using eccentric load and eccentricity formula is defined as refers to the minimum compressive stress. The stress range was taken as the absolute difference between the maximum and minimum stress and is represented as σmin = (P*(1-(6*eload/b)))/(Asectional) or Minimum Stress Value = (Eccentric load on column*(1-(6*Eccentricity of Loading/Width of column)))/(Column Cross Sectional Area). Eccentric load on column is the load that causes direct stress as well as bending stress, 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, Width of column is describing how wide the column is & 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.
How to calculate Minimum Stress using Eccentric Load and Eccentricity?
The Minimum stress using eccentric load and eccentricity formula is defined as refers to the minimum compressive stress. The stress range was taken as the absolute difference between the maximum and minimum stress is calculated using Minimum Stress Value = (Eccentric load on column*(1-(6*Eccentricity of Loading/Width of column)))/(Column Cross Sectional Area). To calculate Minimum Stress using Eccentric Load and Eccentricity, you need Eccentric load on column (P), Eccentricity of Loading (eload), Width of column (b) & Column Cross Sectional Area (Asectional). With our tool, you need to enter the respective value for Eccentric load on column, Eccentricity of Loading, Width of column & Column Cross Sectional Area 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 Minimum Stress Value?
In this formula, Minimum Stress Value uses Eccentric load on column, Eccentricity of Loading, Width of column & Column Cross Sectional Area. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Minimum Stress Value = (Direct Stress-Bending Stress in Column)
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