Eccentricity between centroidal and neutral axis of curved beam given bending stress at inner fibre Solution

STEP 0: Pre-Calculation Summary
Formula Used
Eccentricity Between Centroidal and Neutral Axis = (Bending Moment in Curved Beam*Distance of Inner Fibre from Neutral Axis)/(Cross Sectional Area of Curved Beam*Bending Stress at Inner Fibre*Radius of Inner Fibre)
e = (Mb*hi)/(A*σbi*Ri)
This formula uses 6 Variables
Variables Used
Eccentricity Between Centroidal and Neutral Axis - (Measured in Meter) - Eccentricity Between Centroidal and Neutral Axis is the distance between the centroidal and the neutral axis of a curved structural element.
Bending Moment in Curved Beam - (Measured in Newton Meter) - Bending moment in curved beam is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.
Distance of Inner Fibre from Neutral Axis - (Measured in Meter) - Distance of Inner Fibre from Neutral Axis is the point where the fibers of a material undergoing bending are stretched maximum.
Cross Sectional Area of Curved Beam - (Measured in Square Meter) - Cross sectional area of curved beam is the area of a two-dimensional section that is obtained when a beam is sliced perpendicular to some specified axis at a point.
Bending Stress at Inner Fibre - (Measured in Pascal) - Bending Stress at Inner Fibre is the amount of bending moment at the inner fiber of a curved structural element.
Radius of Inner Fibre - (Measured in Meter) - Radius of Inner Fibre is the radius of the inner fiber of a curved structural element.
STEP 1: Convert Input(s) to Base Unit
Bending Moment in Curved Beam: 985000 Newton Millimeter --> 985 Newton Meter (Check conversion ​here)
Distance of Inner Fibre from Neutral Axis: 10 Millimeter --> 0.01 Meter (Check conversion ​here)
Cross Sectional Area of Curved Beam: 240 Square Millimeter --> 0.00024 Square Meter (Check conversion ​here)
Bending Stress at Inner Fibre: 293.1548 Newton per Square Millimeter --> 293154800 Pascal (Check conversion ​here)
Radius of Inner Fibre: 70 Millimeter --> 0.07 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
e = (Mb*hi)/(A*σbi*Ri) --> (985*0.01)/(0.00024*293154800*0.07)
Evaluating ... ...
e = 0.00199999974010156
STEP 3: Convert Result to Output's Unit
0.00199999974010156 Meter -->1.99999974010156 Millimeter (Check conversion ​here)
FINAL ANSWER
1.99999974010156 2 Millimeter <-- Eccentricity Between Centroidal and Neutral Axis
(Calculation completed in 00.004 seconds)

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Design of Curved Beams Calculators

Bending stress in fibre of curved beam given eccentricity
​ Go Bending Stress = ((Bending Moment in Curved Beam*Distance from Neutral Axis of Curved Beam)/(Cross Sectional Area of Curved Beam*(Eccentricity Between Centroidal and Neutral Axis)*(Radius of Neutral Axis-Distance from Neutral Axis of Curved Beam)))
Bending stress in fiber of curved beam
​ Go Bending Stress = (Bending Moment in Curved Beam*Distance from Neutral Axis of Curved Beam)/(Cross Sectional Area of Curved Beam*Eccentricity Between Centroidal and Neutral Axis*(Radius of Neutral Axis-Distance from Neutral Axis of Curved Beam))
Eccentricity between centroidal and neutral axis of curved beam given radius of both axis
​ LaTeX ​ Go Eccentricity Between Centroidal and Neutral Axis = Radius of Centroidal Axis-Radius of Neutral Axis
Eccentricity between central and neutral axis of curved beam
​ LaTeX ​ Go Eccentricity Between Centroidal and Neutral Axis = Radius of Centroidal Axis-Radius of Neutral Axis

Eccentricity between centroidal and neutral axis of curved beam given bending stress at inner fibre Formula

​Go
Eccentricity Between Centroidal and Neutral Axis = (Bending Moment in Curved Beam*Distance of Inner Fibre from Neutral Axis)/(Cross Sectional Area of Curved Beam*Bending Stress at Inner Fibre*Radius of Inner Fibre)
e = (Mb*hi)/(A*σbi*Ri)

What is meant by stress strain diagram?

A stress-strain diagram or stress-strain curve is used to illustrate the relationship between a material's stress and strain. A stress-strain curve can be constructed from data obtained in any mechanical test where the load is applied to a material and continuous measurements of stress and strain are made simultaneously.

How to Calculate Eccentricity between centroidal and neutral axis of curved beam given bending stress at inner fibre?

Eccentricity between centroidal and neutral axis of curved beam given bending stress at inner fibre calculator uses Eccentricity Between Centroidal and Neutral Axis = (Bending Moment in Curved Beam*Distance of Inner Fibre from Neutral Axis)/(Cross Sectional Area of Curved Beam*Bending Stress at Inner Fibre*Radius of Inner Fibre) to calculate the Eccentricity Between Centroidal and Neutral Axis, Eccentricity between centroidal and neutral axis of curved beam given bending stress at inner fibre is the distance between the centroidal and the neutral axis of a curved beam. Eccentricity Between Centroidal and Neutral Axis is denoted by e symbol.

How to calculate Eccentricity between centroidal and neutral axis of curved beam given bending stress at inner fibre using this online calculator? To use this online calculator for Eccentricity between centroidal and neutral axis of curved beam given bending stress at inner fibre, enter Bending Moment in Curved Beam (Mb), Distance of Inner Fibre from Neutral Axis (hi), Cross Sectional Area of Curved Beam (A), Bending Stress at Inner Fibre bi) & Radius of Inner Fibre (Ri) and hit the calculate button. Here is how the Eccentricity between centroidal and neutral axis of curved beam given bending stress at inner fibre calculation can be explained with given input values -> 7468.911 = (985*0.01)/(0.00024*293154800*0.07).

FAQ

What is Eccentricity between centroidal and neutral axis of curved beam given bending stress at inner fibre?
Eccentricity between centroidal and neutral axis of curved beam given bending stress at inner fibre is the distance between the centroidal and the neutral axis of a curved beam and is represented as e = (Mb*hi)/(A*σbi*Ri) or Eccentricity Between Centroidal and Neutral Axis = (Bending Moment in Curved Beam*Distance of Inner Fibre from Neutral Axis)/(Cross Sectional Area of Curved Beam*Bending Stress at Inner Fibre*Radius of Inner Fibre). Bending moment in curved beam is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend, Distance of Inner Fibre from Neutral Axis is the point where the fibers of a material undergoing bending are stretched maximum, Cross sectional area of curved beam is the area of a two-dimensional section that is obtained when a beam is sliced perpendicular to some specified axis at a point, Bending Stress at Inner Fibre is the amount of bending moment at the inner fiber of a curved structural element & Radius of Inner Fibre is the radius of the inner fiber of a curved structural element.
How to calculate Eccentricity between centroidal and neutral axis of curved beam given bending stress at inner fibre?
Eccentricity between centroidal and neutral axis of curved beam given bending stress at inner fibre is the distance between the centroidal and the neutral axis of a curved beam is calculated using Eccentricity Between Centroidal and Neutral Axis = (Bending Moment in Curved Beam*Distance of Inner Fibre from Neutral Axis)/(Cross Sectional Area of Curved Beam*Bending Stress at Inner Fibre*Radius of Inner Fibre). To calculate Eccentricity between centroidal and neutral axis of curved beam given bending stress at inner fibre, you need Bending Moment in Curved Beam (Mb), Distance of Inner Fibre from Neutral Axis (hi), Cross Sectional Area of Curved Beam (A), Bending Stress at Inner Fibre bi) & Radius of Inner Fibre (Ri). With our tool, you need to enter the respective value for Bending Moment in Curved Beam, Distance of Inner Fibre from Neutral Axis, Cross Sectional Area of Curved Beam, Bending Stress at Inner Fibre & Radius of Inner Fibre 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 Eccentricity Between Centroidal and Neutral Axis?
In this formula, Eccentricity Between Centroidal and Neutral Axis uses Bending Moment in Curved Beam, Distance of Inner Fibre from Neutral Axis, Cross Sectional Area of Curved Beam, Bending Stress at Inner Fibre & Radius of Inner Fibre. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Eccentricity Between Centroidal and Neutral Axis = Radius of Centroidal Axis-Radius of Neutral Axis
  • Eccentricity Between Centroidal and Neutral Axis = Radius of Centroidal Axis-Radius of Neutral Axis
  • Eccentricity Between Centroidal and Neutral Axis = (Bending Moment in Curved Beam*Distance of Outer Fibre from Neutral Axis)/(Cross Sectional Area of Curved Beam*Bending Stress at Outer Fibre*Radius of Outer Fibre)
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