Eccentricity using Bending Stress Calculator

✖Bending Stress in Column is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.ⓘ Bending Stress in Column [σ_b]			+10% -10%
✖Depth of Column is the distance from the top or surface to the bottom of something.ⓘ Depth of Column [h]			+10% -10%
✖Width of column is describing how wide the column is.ⓘ Width of column [b]			+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%

✖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 Bending Stress [e_load]

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Formula

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Eccentricity using Bending Stress

Formula

`"e"_{"load"} = ("σ"_{"b"}*("h"*("b"^2)))/(6*"P")`

Example

`"1028.571mm"=("0.04MPa"*("3000mm"*(("600mm")^2)))/(6*"7kN")`

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Eccentricity using Bending Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Eccentricity of Loading = (Bending Stress in Column*(Depth of Column*(Width of column^2)))/(6*Eccentric load on column)
e_load = (σ_b*(h*(b^2)))/(6*P)
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.
Bending Stress in Column - (Measured in Pascal) - Bending Stress in Column is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.
Depth of Column - (Measured in Meter) - Depth of Column is the distance from the top or surface to the bottom of something.
Width of column - (Measured in Meter) - Width of column is describing how wide the column is.
Eccentric load on column - (Measured in Newton) - Eccentric load on column is the load that causes direct stress as well as bending stress.

STEP 1: Convert Input(s) to Base Unit

Bending Stress in Column: 0.04 Megapascal --> 40000 Pascal (Check conversion here)
Depth of Column: 3000 Millimeter --> 3 Meter (Check conversion here)
Width of column: 600 Millimeter --> 0.6 Meter (Check conversion here)
Eccentric load on column: 7 Kilonewton --> 7000 Newton (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e_load = (σ_b*(h*(b^2)))/(6*P) --> (40000*(3*(0.6^2)))/(6*7000)

Evaluating ... ...

e_load = 1.02857142857143

STEP 3: Convert Result to Output's Unit

1.02857142857143 Meter -->1028.57142857143 Millimeter (Check conversion here)

FINAL ANSWER

1028.57142857143 ≈ 1028.571 Millimeter <-- Eccentricity of Loading

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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Indian Institute of Information Technology (IIIT), Guwahati

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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)

Eccentricity using Bending Stress Formula

Eccentricity of Loading = (Bending Stress in Column*(Depth of Column*(Width of column^2)))/(6*Eccentric load on column)
e_load = (σ_b*(h*(b^2)))/(6*P)

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 Bending Stress?

Eccentricity using Bending Stress calculator uses Eccentricity of Loading = (Bending Stress in Column*(Depth of Column*(Width of column^2)))/(6*Eccentric load on column) to calculate the Eccentricity of Loading, The Eccentricity using bending stress formula is defined as the distance from the center of gravity of the column section to the center of gravity of the applied load. Eccentricity of Loading is denoted by e_load symbol.

How to calculate Eccentricity using Bending Stress using this online calculator? To use this online calculator for Eccentricity using Bending Stress, enter Bending Stress in Column (σ_b), Depth of Column (h), Width of column (b) & Eccentric load on column (P) and hit the calculate button. Here is how the Eccentricity using Bending Stress calculation can be explained with given input values -> 1E+6 = (40000*(3*(0.6^2)))/(6*7000).

FAQ

What is Eccentricity using Bending Stress?

The Eccentricity using bending stress formula is defined as the distance from the center of gravity of the column section to the center of gravity of the applied load and is represented as e_load = (σ_b*(h*(b^2)))/(6*P) or Eccentricity of Loading = (Bending Stress in Column*(Depth of Column*(Width of column^2)))/(6*Eccentric load on column). Bending Stress in Column is the normal stress that is induced at a point in a body subjected to loads that cause it to bend, Depth of Column is the distance from the top or surface to the bottom of something, Width of column is describing how wide the column is & Eccentric load on column is the load that causes direct stress as well as bending stress.

How to calculate Eccentricity using Bending Stress?

The Eccentricity using bending stress formula is defined as the distance from the center of gravity of the column section to the center of gravity of the applied load is calculated using Eccentricity of Loading = (Bending Stress in Column*(Depth of Column*(Width of column^2)))/(6*Eccentric load on column). To calculate Eccentricity using Bending Stress, you need Bending Stress in Column (σ_b), Depth of Column (h), Width of column (b) & Eccentric load on column (P). With our tool, you need to enter the respective value for Bending Stress in Column, Depth of Column, Width of column & Eccentric load on 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 Bending Stress in Column, Depth of Column, Width of column & Eccentric load on 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 = ((Maximum Stress on Column Section*Column Cross Sectional Area/Eccentric load on column)-1)*(Width of column/6)
Eccentricity of Loading = Moment due to eccentric load/Eccentric load on column

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