Eccentric Load on Column given Bending Stress along y-y Axis 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%
✖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%
✖The Eccentricity of load about y-y axis is the distance from the center of gravity of the column section to the center of gravity of the applied load.ⓘ Eccentricity of Load about y-y axis [e_yy]			+10% -10%
✖Distance of Load Point from y-axis is a numerical measurement of how far apart objects or points are.ⓘ Distance of Load Point from y-axis [y]			+10% -10%

✖Eccentric Load on Column is the load that causes direct stress as well as bending stress.ⓘ Eccentric Load on Column given Bending Stress along y-y Axis [P]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

Eccentric Load on Column given Bending Stress along y-y Axis Solution

STEP 0: Pre-Calculation Summary

Formula Used

Eccentric Load on Column = (Bending Stress in Column*Moment of Inertia about y-y axis)/(Eccentricity of Load about y-y axis*Distance of Load Point from y-axis)
P = (σ_b*I_yy)/(e_yy*y)
This formula uses 5 Variables

Variables Used

Eccentric Load on Column - (Measured in Newton) - Eccentric Load on Column is the load that causes direct stress as well as bending stress.
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.
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.
Eccentricity of Load about y-y axis - (Measured in Meter) - The Eccentricity of load about y-y axis is the distance from the center of gravity of the column section to the center of gravity of the applied load.
Distance of Load Point from y-axis - (Measured in Meter) - Distance of Load Point from y-axis is a numerical measurement of how far apart objects or points are.

STEP 1: Convert Input(s) to Base Unit

Bending Stress in Column: 0.04 Megapascal --> 40000 Pascal (Check conversion here)
Moment of Inertia about y-y axis: 5000000000 Millimeter⁴ --> 0.005 Meter⁴ (Check conversion here)
Eccentricity of Load about y-y axis: 0.06 Millimeter --> 6E-05 Meter (Check conversion here)
Distance of Load Point from y-axis: 8 Millimeter --> 0.008 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (σ_b*I_yy)/(e_yy*y) --> (40000*0.005)/(6E-05*0.008)

Evaluating ... ...

P = 416666666.666667

STEP 3: Convert Result to Output's Unit

416666666.666667 Newton -->416666.666666667 Kilonewton (Check conversion here)

FINAL ANSWER

416666.666666667 ≈ 416666.7 Kilonewton <-- Eccentric Load on Column

(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 Load Eccentric to Both Axis » Eccentric Load on Column given Bending Stress along y-y Axis

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 Load Eccentric to Both Axis Calculators

Eccentricity of Load about x-x Axis

LaTeX Go Eccentricity of Load about x-x axis = Moment of Load about x-x axis/Eccentric Load on Column

Eccentricity of Load about Y-Y Axis

LaTeX Go Eccentricity of Load about y-y axis = Moment of Load about y-y axis/Eccentric Load on Column

Moment of Load about x-x Axis

LaTeX Go Moment of Load about x-x axis = Eccentric Load on Column*Eccentricity of Load about x-x axis

Moment of Load about y-y Axis

LaTeX Go Moment of Load about y-y axis = Eccentric Load on Column*Eccentricity of Load about y-y axis

Eccentric Load on Column given Bending Stress along y-y Axis Formula

LaTeX Go

Eccentric Load on Column = (Bending Stress in Column*Moment of Inertia about y-y axis)/(Eccentricity of Load about y-y axis*Distance of Load Point from y-axis)
P = (σ_b*I_yy)/(e_yy*y)

What is Shear Stress and Strain?

Shear strain is the deformation of an object or medium under shear stress. The shear modulus is the elastic modulus in this case. Shear stress is caused by forces acting along the object's two parallel surfaces.

How to Calculate Eccentric Load on Column given Bending Stress along y-y Axis?

Eccentric Load on Column given Bending Stress along y-y Axis calculator uses Eccentric Load on Column = (Bending Stress in Column*Moment of Inertia about y-y axis)/(Eccentricity of Load about y-y axis*Distance of Load Point from y-axis) to calculate the Eccentric Load on Column, The Eccentric Load on Column given Bending Stress along y-y Axis formula is defined as a measure of the load applied at an eccentric distance from the central axis of a column, causing bending stress along the y-y axis, which affects the structural integrity of the column. Eccentric Load on Column is denoted by P symbol.

How to calculate Eccentric Load on Column given Bending Stress along y-y Axis using this online calculator? To use this online calculator for Eccentric Load on Column given Bending Stress along y-y Axis, enter Bending Stress in Column (σ_b), Moment of Inertia about y-y axis (I_yy), Eccentricity of Load about y-y axis (e_yy) & Distance of Load Point from y-axis (y) and hit the calculate button. Here is how the Eccentric Load on Column given Bending Stress along y-y Axis calculation can be explained with given input values -> 416.6667 = (40000*0.005)/(6E-05*0.008).

FAQ

What is Eccentric Load on Column given Bending Stress along y-y Axis?

The Eccentric Load on Column given Bending Stress along y-y Axis formula is defined as a measure of the load applied at an eccentric distance from the central axis of a column, causing bending stress along the y-y axis, which affects the structural integrity of the column and is represented as P = (σ_b*I_yy)/(e_yy*y) or Eccentric Load on Column = (Bending Stress in Column*Moment of Inertia about y-y axis)/(Eccentricity of Load about y-y axis*Distance of Load Point from y-axis). 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, Moment of Inertia about y-y axis is defined as the quantity expressed by the body resisting angular acceleration, The Eccentricity of load about y-y axis is the distance from the center of gravity of the column section to the center of gravity of the applied load & Distance of Load Point from y-axis is a numerical measurement of how far apart objects or points are.

How to calculate Eccentric Load on Column given Bending Stress along y-y Axis?

The Eccentric Load on Column given Bending Stress along y-y Axis formula is defined as a measure of the load applied at an eccentric distance from the central axis of a column, causing bending stress along the y-y axis, which affects the structural integrity of the column is calculated using Eccentric Load on Column = (Bending Stress in Column*Moment of Inertia about y-y axis)/(Eccentricity of Load about y-y axis*Distance of Load Point from y-axis). To calculate Eccentric Load on Column given Bending Stress along y-y Axis, you need Bending Stress in Column (σ_b), Moment of Inertia about y-y axis (I_yy), Eccentricity of Load about y-y axis (e_yy) & Distance of Load Point from y-axis (y). With our tool, you need to enter the respective value for Bending Stress in Column, Moment of Inertia about y-y axis, Eccentricity of Load about y-y axis & Distance of Load Point from 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 Eccentric Load on Column?

In this formula, Eccentric Load on Column uses Bending Stress in Column, Moment of Inertia about y-y axis, Eccentricity of Load about y-y axis & Distance of Load Point from y-axis. We can use 1 other way(s) to calculate the same, which is/are as follows -

Eccentric Load on Column = (Bending Stress in Column*Moment of Inertia about x-x axis)/(Eccentricity of Load about x-x axis*Distance of Load Point from x-axis)

Home

FREE PDFs

🔍 Search