Eccentricity using Maximum Stress Calculator

✖Maximum Stress on Column Section is the maximum stress that the column material withstands before fracture.ⓘ Maximum Stress on Column Section [σ_max]			+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%
✖Eccentric Load on Column is the load that causes direct stress as well as bending stress.ⓘ Eccentric Load on Column [P]			+10% -10%
✖Width of Column is describe that how wide the column is.ⓘ Width of Column [b]			+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 using Maximum Stress [e_load]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

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)
e_load = ((σ_max*A_sectional/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

e_load = ((σ_max*A_sectional/P)-1)*(b/6) --> ((300000*1.4/7000)-1)*(0.6/6)

Evaluating ... ...

e_load = 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 00.020 seconds)

You are here -

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

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

Dipto Mandal has verified this Calculator and 400+ 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)

Eccentricity using Maximum Stress Formula

LaTeX Go

Eccentricity of Loading = ((Maximum Stress on Column Section*Column Cross Sectional Area/Eccentric Load on Column)-1)*(Width of Column/6)
e_load = ((σ_max*A_sectional/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 e_load 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 (σ_max), Column Cross Sectional Area (A_sectional), 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 e_load = ((σ_max*A_sectional/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 (σ_max), Column Cross Sectional Area (A_sectional), 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

Home

FREE PDFs

🔍 Search