Moment of Inertia about y-y Axis given Bending Stress 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%
✖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 given Bending Stress about y-y Axis [I_yy]

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Moment of Inertia about y-y Axis given Bending Stress about y-y Axis Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia about y-y axis = (Moment of Load about y-y axis*Distance of Load Point from y-axis)/Bending Stress in Column
I_yy = (M_y*y)/σ_b
This formula uses 4 Variables

Variables Used

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.
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.
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.

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)
Bending Stress in Column: 0.04 Megapascal --> 40000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_yy = (M_y*y)/σ_b --> (6.4*0.008)/40000

Evaluating ... ...

I_yy = 1.28E-06

STEP 3: Convert Result to Output's Unit

1.28E-06 Meter⁴ -->1280000 Millimeter⁴ (Check conversion here)

FINAL ANSWER

1280000 ≈ 1.3E+6 Millimeter⁴ <-- Moment of Inertia about y-y axis

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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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

Moment of Inertia about y-y Axis given Bending Stress about y-y Axis Formula

Moment of Inertia about y-y axis = (Moment of Load about y-y axis*Distance of Load Point from y-axis)/Bending Stress in Column
I_yy = (M_y*y)/σ_b

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 Moment of Inertia about y-y Axis given Bending Stress about y-y Axis?

Moment of Inertia about y-y Axis given Bending Stress about y-y Axis calculator uses Moment of Inertia about y-y axis = (Moment of Load about y-y axis*Distance of Load Point from y-axis)/Bending Stress in Column to calculate the Moment of Inertia about y-y axis, The Moment of Inertia about y-y Axis given Bending Stress about y-y Axis formula is defined as a measure of an object's resistance to changes in its rotation, providing a way to quantify the distribution of mass within an object and its effect on the bending stress around the y-y axis. Moment of Inertia about y-y axis is denoted by I_yy symbol.

How to calculate Moment of Inertia about y-y Axis given Bending Stress about y-y Axis using this online calculator? To use this online calculator for Moment of Inertia about y-y Axis given Bending Stress about y-y Axis, enter Moment of Load about y-y axis (M_y), Distance of Load Point from y-axis (y) & Bending Stress in Column (σ_b) and hit the calculate button. Here is how the Moment of Inertia about y-y Axis given Bending Stress about y-y Axis calculation can be explained with given input values -> 1.3E+18 = (6.4*0.008)/40000.

FAQ

What is Moment of Inertia about y-y Axis given Bending Stress about y-y Axis?

The Moment of Inertia about y-y Axis given Bending Stress about y-y Axis formula is defined as a measure of an object's resistance to changes in its rotation, providing a way to quantify the distribution of mass within an object and its effect on the bending stress around the y-y axis and is represented as I_yy = (M_y*y)/σ_b or Moment of Inertia about y-y axis = (Moment of Load about y-y axis*Distance of Load Point from y-axis)/Bending Stress in Column. 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 & 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.

How to calculate Moment of Inertia about y-y Axis given Bending Stress about y-y Axis?

The Moment of Inertia about y-y Axis given Bending Stress about y-y Axis formula is defined as a measure of an object's resistance to changes in its rotation, providing a way to quantify the distribution of mass within an object and its effect on the bending stress around the y-y axis is calculated using Moment of Inertia about y-y axis = (Moment of Load about y-y axis*Distance of Load Point from y-axis)/Bending Stress in Column. To calculate Moment of Inertia about y-y Axis given Bending Stress about y-y Axis, you need Moment of Load about y-y axis (M_y), Distance of Load Point from y-axis (y) & Bending Stress in Column (σ_b). 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 & Bending Stress in Column and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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