Distance from Extreme Fiber given Young's Modulus along with Radius and Stress Induced Calculator

✖The Radius of Curvature is the reciprocal of the curvature.ⓘ Radius of Curvature [R_curvature]			+10% -10%
✖Fibre Stress at Distance ‘y’ from NA is denoted by σ.ⓘ Fibre Stress at Distance ‘y’ from NA [σ_y]			+10% -10%
✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus [E]			+10% -10%

✖Distance from Neutral Axis is measured between N.A. and the extreme point.ⓘ Distance from Extreme Fiber given Young's Modulus along with Radius and Stress Induced [y]

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Distance from Extreme Fiber given Young's Modulus along with Radius and Stress Induced Solution

STEP 0: Pre-Calculation Summary

Formula Used

Distance from Neutral Axis = (Radius of Curvature*Fibre Stress at Distance ‘y’ from NA)/Young's Modulus
y = (R_curvature*σ_y)/E
This formula uses 4 Variables

Variables Used

Distance from Neutral Axis - (Measured in Meter) - Distance from Neutral Axis is measured between N.A. and the extreme point.
Radius of Curvature - (Measured in Meter) - The Radius of Curvature is the reciprocal of the curvature.
Fibre Stress at Distance ‘y’ from NA - (Measured in Megapascal) - Fibre Stress at Distance ‘y’ from NA is denoted by σ.
Young's Modulus - (Measured in Megapascal) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

STEP 1: Convert Input(s) to Base Unit

Radius of Curvature: 152 Millimeter --> 0.152 Meter (Check conversion here)
Fibre Stress at Distance ‘y’ from NA: 3289.474 Megapascal --> 3289.474 Megapascal No Conversion Required
Young's Modulus: 20000 Megapascal --> 20000 Megapascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

y = (R_curvature*σ_y)/E --> (0.152*3289.474)/20000

Evaluating ... ...

y = 0.0250000024

STEP 3: Convert Result to Output's Unit

0.0250000024 Meter -->25.0000024 Millimeter (Check conversion here)

FINAL ANSWER

25.0000024 ≈ 25 Millimeter <-- Distance from Neutral Axis

(Calculation completed in 00.006 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Combined Axial and Bending Loads Calculators

Maximum Bending Moment given Maximum Stress for Short Beams

LaTeX Go Maximum Bending Moment = ((Maximum Stress-(Axial Load/Cross Sectional Area))*Area Moment of Inertia)/Distance from Neutral Axis

Cross-Sectional Area given Maximum Stress for Short Beams

LaTeX Go Cross Sectional Area = Axial Load/(Maximum Stress-((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia))

Axial Load given Maximum Stress for Short Beams

LaTeX Go Axial Load = Cross Sectional Area*(Maximum Stress-((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia))

Maximum Stress for Short Beams

LaTeX Go Maximum Stress = (Axial Load/Cross Sectional Area)+((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia)

Distance from Extreme Fiber given Young's Modulus along with Radius and Stress Induced Formula

LaTeX Go

Distance from Neutral Axis = (Radius of Curvature*Fibre Stress at Distance ‘y’ from NA)/Young's Modulus
y = (R_curvature*σ_y)/E

What is Simple Bending?

The Bending will be called as simple bending when it occurs because of beam self-load and external load. This type of bending is also known as ordinary bending and in this type of bending results both shear stress and normal stress in the beam.

Define Stress.

Stress is a physical quantity that expresses the internal forces that neighbouring particles of a continuous material exert on each other, while strain is the measure of the deformation of the material. Thus, Stress is defined as “The restoring force per unit area of the material”. It is a tensor quantity. Denoted by the Greek letter σ. Measured using Pascal or N/m2.

How to Calculate Distance from Extreme Fiber given Young's Modulus along with Radius and Stress Induced?

Distance from Extreme Fiber given Young's Modulus along with Radius and Stress Induced calculator uses Distance from Neutral Axis = (Radius of Curvature*Fibre Stress at Distance ‘y’ from NA)/Young's Modulus to calculate the Distance from Neutral Axis, The Distance from Extreme Fiber given Young's Modulus along with Radius and Stress Induced formula is defined as the distance of the extreme fiber from the neutral axis when the beam is undergoing simple bending. Distance from Neutral Axis is denoted by y symbol.

How to calculate Distance from Extreme Fiber given Young's Modulus along with Radius and Stress Induced using this online calculator? To use this online calculator for Distance from Extreme Fiber given Young's Modulus along with Radius and Stress Induced, enter Radius of Curvature (R_curvature), Fibre Stress at Distance ‘y’ from NA (σ_y) & Young's Modulus (E) and hit the calculate button. Here is how the Distance from Extreme Fiber given Young's Modulus along with Radius and Stress Induced calculation can be explained with given input values -> 0.025 = (0.152*3289474000)/20000000000.

FAQ

What is Distance from Extreme Fiber given Young's Modulus along with Radius and Stress Induced?

The Distance from Extreme Fiber given Young's Modulus along with Radius and Stress Induced formula is defined as the distance of the extreme fiber from the neutral axis when the beam is undergoing simple bending and is represented as y = (R_curvature*σ_y)/E or Distance from Neutral Axis = (Radius of Curvature*Fibre Stress at Distance ‘y’ from NA)/Young's Modulus. The Radius of Curvature is the reciprocal of the curvature, Fibre Stress at Distance ‘y’ from NA is denoted by σ & Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

How to calculate Distance from Extreme Fiber given Young's Modulus along with Radius and Stress Induced?

The Distance from Extreme Fiber given Young's Modulus along with Radius and Stress Induced formula is defined as the distance of the extreme fiber from the neutral axis when the beam is undergoing simple bending is calculated using Distance from Neutral Axis = (Radius of Curvature*Fibre Stress at Distance ‘y’ from NA)/Young's Modulus. To calculate Distance from Extreme Fiber given Young's Modulus along with Radius and Stress Induced, you need Radius of Curvature (R_curvature), Fibre Stress at Distance ‘y’ from NA (σ_y) & Young's Modulus (E). With our tool, you need to enter the respective value for Radius of Curvature, Fibre Stress at Distance ‘y’ from NA & Young's Modulus 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 Distance from Neutral Axis?

In this formula, Distance from Neutral Axis uses Radius of Curvature, Fibre Stress at Distance ‘y’ from NA & Young's Modulus. We can use 2 other way(s) to calculate the same, which is/are as follows -

Distance from Neutral Axis = ((Maximum Stress*Cross Sectional Area*Area Moment of Inertia)-(Axial Load*Area Moment of Inertia))/(Maximum Bending Moment*Cross Sectional Area)
Distance from Neutral Axis = (Area Moment of Inertia*Bending Stress)/Moment of Resistance

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