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]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

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 00.008 seconds)

You are here -

Home » Physics » Strength of Materials » Direct And Bending Stress » Resultant Stress » Mechanical » Rectangular Section Is Subjected to Eccentric Load » Maximum Stress when Subjected to Eccentric Axial Load

Credits

Created by Saurabh Patil

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

Saurabh Patil has created this Calculator and 700+ more calculators!

Verified by Abhishek Dharmendra Bansile

Vishwakarma Institute of Information Technology, Pune (VIIT Pune), Pune

Abhishek Dharmendra Bansile has verified this Calculator and 10+ more calculators!

< Rectangular Section Is Subjected to Eccentric Load Calculators

Minimum Stress using Eccentric Load and Eccentricity

LaTeX 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

LaTeX Go Eccentric Load on Column = (Minimum Stress Value*Column Cross Sectional Area)/(1-(6*Eccentricity of Loading/Width of Column))

Eccentricity using Minimum Stress

LaTeX Go Eccentricity of Loading = (1-(Minimum Stress Value*Column Cross Sectional Area/Eccentric Load on Column))*(Width of Column/6)

Minimum Stress

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

Maximum Stress when Subjected to Eccentric Axial Load Formula

LaTeX Go

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 formula is defined as a measure of the maximum stress experienced by a material when it is subjected to both axial and bending loads, resulting in a combination of direct and bending stresses that can cause deformation or failure. 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 -> 5.4E-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 formula is defined as a measure of the maximum stress experienced by a material when it is subjected to both axial and bending loads, resulting in a combination of direct and bending stresses that can cause deformation or failure 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 formula is defined as a measure of the maximum stress experienced by a material when it is subjected to both axial and bending loads, resulting in a combination of direct and bending stresses that can cause deformation or failure 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)

Home

FREE PDFs

🔍 Search