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
Iyy = (My*y)/σb
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
Iyy = (My*y)/σb --> (6.4*0.008)/40000
Evaluating ... ...
Iyy = 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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18 Rectangular Section Is Subjected To Load Eccentric To Both Axis Calculators

Bending Stress due to Eccentricity about x-x axis given Eccentric Load on Column
Go 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 due to eccentricity about y-y axis given Eccentric Load on Column
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)
Eccentricity of Load about x-x axis given Bending Stress about x-x axis
Go Eccentricity of load about x-x axis = (Bending Stress in Column*Moment of Inertia about x-x axis)/(Eccentric load on column*Distance of load point from x-axis)
Eccentricity of Load about y-y axis given Bending Stress about y-y axis
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)
Distance of Load point from x-axis given Bending Stress about x-x axis
Go Distance of load point from x-axis = (Bending Stress in Column*Moment of Inertia about x-x axis)/(Eccentric load on column*Eccentricity of load about x-x axis)
Distance of Load point from y-axis given Bending Stress about y-y axis
Go Distance of load point from y axis = (Bending Stress in Column*Moment of Inertia about y-y axis)/(Eccentric load on column*Eccentricity of load about y-y axis)
Eccentric Load on Column given Bending Stress along x-x axis
Go 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)
Eccentric Load on Column given Bending Stress along y-y axis
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)
Bending stress due to eccentricity about x-x axis
Go 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 due to eccentricity about y-y axis
Go 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 Inertia about x-x axis given Bending Stress about x-x axis
Go Moment of Inertia about x-x axis = (Moment of load about x-x axis*Distance of load point from x-axis)/Bending Stress in Column
Moment of Inertia about y-y axis given Bending Stress about y-y axis
Go 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 x-x axis given Bending Stress about x-x axis
Go Moment of load about x-x axis = (Bending Stress in Column*Moment of Inertia about x-x axis)/Distance of load point from x-axis
Moment of Load about y-y Axis given Bending Stress about y-y Axis
Go Moment of load about y-y axis = (Bending Stress in Column*Moment of Inertia about y-y axis)/Distance of load point from y axis
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
Iyy = (My*y)/σb

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 geometrical property of an area that reflects how its points are distributed with regard to an arbitrary axis. Moment of Inertia about y-y axis is denoted by Iyy 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 (My), Distance of load point from y axis (y) & Bending Stress in Column 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 geometrical property of an area that reflects how its points are distributed with regard to an arbitrary axis and is represented as Iyy = (My*y)/σb 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 geometrical property of an area that reflects how its points are distributed with regard to an arbitrary 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 (My), Distance of load point from y axis (y) & Bending Stress in Column 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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