Maximum stress when subjected to eccentric axial load Calculator

✖Eccentric load on column is the load that causes direct stress as well as bending stress.ⓘ Eccentric load on column [P]			+10% -10%
✖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.ⓘ Column Cross Sectional Area [A_sectional]			+10% -10%
✖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.ⓘ Eccentricity of Loading [e_load]			+10% -10%
✖Distance of Outer Fibre from Neutral Axis is the point where the fibers of a material undergoing bending are stretched maximum.ⓘ Distance of Outer Fibre from Neutral Axis [h_o]			+10% -10%
✖Moment of Inertia about y-y axis is defined as the quantity expressed by the body resisting angular acceleration.ⓘ Moment of Inertia about y-y axis [I_yy]			+10% -10%

✖Maximum Stress on Column Section is the maximum stress that the column material withstands before fracture.ⓘ Maximum stress when subjected to eccentric axial load [σ_max]

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Formula

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Maximum stress when subjected to eccentric axial load

Formula

`"σ"_{"max"} = ("P"/"A"_{"sectional"})+(("P"*"e"_{"load"}*"h"_{"o"})/"I"_{"yy"})`

Example

`"0.00542MPa"=("7kN"/"1.4m²")+(("7kN"*"25mm"*"12mm")/"5E9mm⁴")`

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Maximum stress when subjected to eccentric axial load Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
σ_max = (P/A_sectional)+((P*e_load*h_o)/I_yy)
This formula uses 6 Variables

Variables Used

Maximum Stress on Column Section - (Measured in Pascal) - Maximum Stress on Column Section is the maximum stress that the column material withstands before fracture.
Eccentric load on column - (Measured in Newton) - Eccentric load on column is the load that causes direct stress as well as bending 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.
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.
Distance of Outer Fibre from Neutral Axis - (Measured in Meter) - Distance of Outer Fibre from Neutral Axis is the point where the fibers of a material undergoing bending are stretched maximum.
Moment of Inertia about y-y axis - (Measured in Meter⁴) - Moment of Inertia about y-y axis is defined as the quantity expressed by the body resisting angular acceleration.

STEP 1: Convert Input(s) to Base Unit

Eccentric load on column: 7 Kilonewton --> 7000 Newton (Check conversion here)
Column Cross Sectional Area: 1.4 Square Meter --> 1.4 Square Meter No Conversion Required
Eccentricity of Loading: 25 Millimeter --> 0.025 Meter (Check conversion here)
Distance of Outer Fibre from Neutral Axis: 12 Millimeter --> 0.012 Meter (Check conversion here)
Moment of Inertia about y-y axis: 5000000000 Millimeter⁴ --> 0.005 Meter⁴ (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_max = (P/A_sectional)+((P*e_load*h_o)/I_yy) --> (7000/1.4)+((7000*0.025*0.012)/0.005)

Evaluating ... ...

σ_max = 5420

STEP 3: Convert Result to Output's Unit

5420 Pascal -->0.00542 Megapascal (Check conversion here)

FINAL ANSWER

0.00542 Megapascal <-- Maximum Stress on Column Section

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Direct And Bending Stress » Resultant Stress » Rectangular Section Is Subjected To Eccentric Load » Maximum stress when subjected to eccentric axial load

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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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)

Maximum stress when subjected to eccentric axial load Formula

What is an eccentric load?

Eccentric load is basically defined as the load whose line of action does not pass through the axis of the column, but the line of action of load passes through a point away from the axis of the column. In case of eccentric loading, there will be produced direct stress as well as bending stress in the column

How to Calculate Maximum stress when subjected to eccentric axial load?

Maximum stress when subjected to eccentric axial load calculator uses 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) to calculate the Maximum Stress on Column Section, The Maximum stress when subjected to eccentric axial load is the maximum stress in the material due to combined effect of the tensile stress and bending stress subjected to eccentric loading. Maximum Stress on Column Section is denoted by σ_max symbol.

How to calculate Maximum stress when subjected to eccentric axial load using this online calculator? To use this online calculator for Maximum stress when subjected to eccentric axial load, enter Eccentric load on column (P), Column Cross Sectional Area (A_sectional), Eccentricity of Loading (e_load), Distance of Outer Fibre from Neutral Axis (h_o) & Moment of Inertia about y-y axis (I_yy) and hit the calculate button. Here is how the Maximum stress when subjected to eccentric axial load calculation can be explained with given input values -> 8.4E-9 = (7000/1.4)+((7000*0.025*0.012)/0.005).

FAQ

What is Maximum stress when subjected to eccentric axial load?

The Maximum stress when subjected to eccentric axial load is the maximum stress in the material due to combined effect of the tensile stress and bending stress subjected to eccentric loading and is represented as σ_max = (P/A_sectional)+((P*e_load*h_o)/I_yy) or 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). Eccentric load on column is the load that causes direct stress as well as bending 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, 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, Distance of Outer Fibre from Neutral Axis is the point where the fibers of a material undergoing bending are stretched maximum & Moment of Inertia about y-y axis is defined as the quantity expressed by the body resisting angular acceleration.

How to calculate Maximum stress when subjected to eccentric axial load?

The Maximum stress when subjected to eccentric axial load is the maximum stress in the material due to combined effect of the tensile stress and bending stress subjected to eccentric loading is calculated using 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). To calculate Maximum stress when subjected to eccentric axial load, you need Eccentric load on column (P), Column Cross Sectional Area (A_sectional), Eccentricity of Loading (e_load), Distance of Outer Fibre from Neutral Axis (h_o) & Moment of Inertia about y-y axis (I_yy). With our tool, you need to enter the respective value for Eccentric load on column, Column Cross Sectional Area, Eccentricity of Loading, Distance of Outer Fibre from Neutral Axis & Moment of Inertia about y-y axis 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 Maximum Stress on Column Section?

In this formula, Maximum Stress on Column Section uses Eccentric load on column, Column Cross Sectional Area, Eccentricity of Loading, Distance of Outer Fibre from Neutral Axis & Moment of Inertia about y-y axis. We can use 2 other way(s) to calculate the same, which is/are as follows -

Maximum Stress on Column Section = (Eccentric load on column*(1+(6*Eccentricity of Loading/Width of column)))/(Column Cross Sectional Area)
Maximum Stress on Column Section = (Direct stress+Bending Stress in Column)

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