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

✖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 given Bending Stress about y-y Axis [e_yy]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Eccentric Load on Column - (Measured in Newton) - Eccentric Load on Column is the load that causes direct stress as well as bending stress.
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)
Eccentric Load on Column: 7 Kilonewton --> 7000 Newton (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

e_yy = (σ_b*I_yy)/(P*y) --> (40000*0.005)/(7000*0.008)

Evaluating ... ...

e_yy = 3.57142857142857

STEP 3: Convert Result to Output's Unit

3.57142857142857 Meter -->3571.42857142857 Millimeter (Check conversion here)

FINAL ANSWER

3571.42857142857 ≈ 3571.429 Millimeter <-- Eccentricity of Load about y-y axis

(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 » Eccentricity of Load about y-y Axis given Bending Stress about 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

Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis Formula

LaTeX Go

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

Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis calculator uses Eccentricity of Load about y-y axis = (Bending Stress in Column*Moment of Inertia about y-y axis)/(Eccentric Load on Column*Distance of Load Point from y-axis) to calculate the Eccentricity of Load about y-y axis, The Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis formula is defined as a measure of how much the load is offset from the y-y axis, which affects the bending stress in a structural element, and is a critical parameter in the design of beams and columns. Eccentricity of Load about y-y axis is denoted by e_yy symbol.

How to calculate Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis using this online calculator? To use this online calculator for Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis, enter Bending Stress in Column (σ_b), Moment of Inertia about y-y axis (I_yy), Eccentric Load on Column (P) & Distance of Load Point from y-axis (y) and hit the calculate button. Here is how the Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis calculation can be explained with given input values -> 3.6E+6 = (40000*0.005)/(7000*0.008).

FAQ

What is Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis?

The Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis formula is defined as a measure of how much the load is offset from the y-y axis, which affects the bending stress in a structural element, and is a critical parameter in the design of beams and columns and is represented as e_yy = (σ_b*I_yy)/(P*y) or Eccentricity of Load about y-y axis = (Bending Stress in Column*Moment of Inertia about y-y axis)/(Eccentric Load on Column*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, Eccentric Load on Column is the load that causes direct stress as well as bending stress & Distance of Load Point from y-axis is a numerical measurement of how far apart objects or points are.

How to calculate Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis?

The Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis formula is defined as a measure of how much the load is offset from the y-y axis, which affects the bending stress in a structural element, and is a critical parameter in the design of beams and columns is calculated using Eccentricity of Load about y-y axis = (Bending Stress in Column*Moment of Inertia about y-y axis)/(Eccentric Load on Column*Distance of Load Point from y-axis). To calculate Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis, you need Bending Stress in Column (σ_b), Moment of Inertia about y-y axis (I_yy), Eccentric Load on Column (P) & 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, Eccentric Load on Column & 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 Eccentricity of Load about y-y axis?

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

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

Home

FREE PDFs

🔍 Search