Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column Calculator

✖Eccentric Load on Column is the load that causes direct stress as well as bending stress.ⓘ Eccentric Load on Column [P]			+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%
✖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%

✖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 due to Eccentricity about y-y Axis given Eccentric Load on Column [σ_b]

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Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Eccentric Load on Column - (Measured in Newton) - Eccentric Load on Column is the load that causes direct stress as well as bending stress.
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.
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)
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)
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_b = (P*e_yy*y)/(I_yy) --> (7000*6E-05*0.008)/(0.005)

Evaluating ... ...

σ_b = 0.672

STEP 3: Convert Result to Output's Unit

0.672 Pascal -->6.72E-07 Megapascal (Check conversion here)

FINAL ANSWER

6.72E-07 ≈ 6.7E-7 Megapascal <-- Bending Stress in Column

(Calculation completed in 00.009 seconds)

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< 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

Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column Formula

LaTeX Go

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

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 Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column?

Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column calculator uses Bending Stress in Column = (Eccentric Load on Column*Eccentricity of Load about y-y axis*Distance of Load Point from y-axis)/(Moment of Inertia about y-y axis) to calculate the Bending Stress in Column, The Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column formula is defined as the maximum stress that occurs in a column when an eccentric load is applied, causing the column to bend and resulting in a combination of compressive and tensile stresses. Bending Stress in Column is denoted by σ_b symbol.

How to calculate Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column using this online calculator? To use this online calculator for Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column, enter Eccentric Load on Column (P), Eccentricity of Load about y-y axis (e_yy), Distance of Load Point from y-axis (y) & Moment of Inertia about y-y axis (I_yy) and hit the calculate button. Here is how the Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column calculation can be explained with given input values -> 6.7E-13 = (7000*6E-05*0.008)/(0.005).

FAQ

What is Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column?

The Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column formula is defined as the maximum stress that occurs in a column when an eccentric load is applied, causing the column to bend and resulting in a combination of compressive and tensile stresses and is represented as σ_b = (P*e_yy*y)/(I_yy) or Bending Stress in Column = (Eccentric Load on Column*Eccentricity of Load about y-y axis*Distance of Load Point from y-axis)/(Moment of Inertia about y-y axis). Eccentric Load on Column is the load that causes direct stress as well as bending stress, 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 & Moment of Inertia about y-y axis is defined as the quantity expressed by the body resisting angular acceleration.

How to calculate Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column?

The Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column formula is defined as the maximum stress that occurs in a column when an eccentric load is applied, causing the column to bend and resulting in a combination of compressive and tensile stresses is calculated using Bending Stress in Column = (Eccentric Load on Column*Eccentricity of Load about y-y axis*Distance of Load Point from y-axis)/(Moment of Inertia about y-y axis). To calculate Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column, you need Eccentric Load on Column (P), Eccentricity of Load about y-y axis (e_yy), Distance of Load Point from y-axis (y) & Moment of Inertia about y-y axis (I_yy). With our tool, you need to enter the respective value for Eccentric Load on Column, Eccentricity of Load about y-y axis, Distance of Load Point from y-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 Bending Stress in Column?

In this formula, Bending Stress in Column uses Eccentric Load on Column, Eccentricity of Load about y-y axis, Distance of Load Point from y-axis & Moment of Inertia about y-y axis. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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