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)
σb = (My*y)/(Iyy)
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
σb = (My*y)/(Iyy) --> (6.4*0.008)/(0.005)
Evaluating ... ...
σb = 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 00.004 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

Bending Stress due to Eccentricity about y-y Axis Formula

​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)
σb = (My*y)/(Iyy)

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 σb 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 (My), Distance of Load Point from y-axis (y) & Moment of Inertia about y-y axis (Iyy) 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 σb = (My*y)/(Iyy) 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 (My), Distance of Load Point from y-axis (y) & Moment of Inertia about y-y axis (Iyy). 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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