Bending Stress due to Eccentricity about y-y Axis Calculator

✖Moment of Load about y-y axis is a measure of its tendency to cause a body to rotate about a specific point or axis.ⓘ Moment of Load about y-y axis [M_y]			+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 [σ_b]

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Bending Stress due to Eccentricity about y-y Axis Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
σ_b = (M_y*y)/(I_yy)
This formula uses 4 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.
Moment of Load about y-y axis - (Measured in Newton Meter) - Moment of Load about y-y axis is a measure of its tendency to cause a body to rotate about a specific point or axis.
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

Moment of Load about y-y axis: 6.4 Newton Meter --> 6.4 Newton Meter No Conversion Required
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 = (M_y*y)/(I_yy) --> (6.4*0.008)/(0.005)

Evaluating ... ...

σ_b = 10.24

STEP 3: Convert Result to Output's Unit

10.24 Pascal -->1.024E-05 Megapascal (Check conversion here)

FINAL ANSWER

1.024E-05 ≈ 1E-5 Megapascal <-- Bending Stress in Column

(Calculation completed in 00.013 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Indian Institute of Information Technology (IIIT), Guwahati

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< Rectangular Section is Subjected to Load Eccentric to Both Axis Calculators

Eccentricity of Load about x-x Axis

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

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

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

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 Formula

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)
σ_b = (M_y*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?

Bending Stress due to Eccentricity about y-y Axis calculator uses 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) to calculate the Bending Stress in Column, The Bending Stress due to Eccentricity about y-y Axis formula is defined as a measure of the stress developed in a structural element due to the eccentric application of a load, causing the element to bend about the y-y axis, which is critical in evaluating the structural integrity of a component. Bending Stress in Column is denoted by σ_b symbol.

How to calculate Bending Stress due to Eccentricity about y-y Axis using this online calculator? To use this online calculator for Bending Stress due to Eccentricity about y-y Axis, enter Moment of Load about y-y axis (M_y), 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 calculation can be explained with given input values -> 1E-11 = (6.4*0.008)/(0.005).

FAQ

What is Bending Stress due to Eccentricity about y-y Axis?

The Bending Stress due to Eccentricity about y-y Axis formula is defined as a measure of the stress developed in a structural element due to the eccentric application of a load, causing the element to bend about the y-y axis, which is critical in evaluating the structural integrity of a component and is represented as σ_b = (M_y*y)/(I_yy) or 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). Moment of Load about y-y axis is a measure of its tendency to cause a body to rotate about a specific point or axis, 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?

The Bending Stress due to Eccentricity about y-y Axis formula is defined as a measure of the stress developed in a structural element due to the eccentric application of a load, causing the element to bend about the y-y axis, which is critical in evaluating the structural integrity of a component is calculated using 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). To calculate Bending Stress due to Eccentricity about y-y Axis, you need Moment of Load about y-y axis (M_y), 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 Moment 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 Moment 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 = (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)

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