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

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

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 --> 3289474000 Pascal (Check conversion here)
Distance from Neutral Axis: 25 Millimeter --> 0.025 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = ((R_curvature*σ_y)/y) --> ((0.152*3289474000)/0.025)

Evaluating ... ...

E = 20000001920

STEP 3: Convert Result to Output's Unit

20000001920 Pascal -->20000.00192 Megapascal (Check conversion here)

FINAL ANSWER

20000.00192 ≈ 20000 Megapascal <-- Young's Modulus

(Calculation completed in 00.004 seconds)

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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)

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

LaTeX Go

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

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

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

How to calculate Young's Modulus given Distance from Extreme Fiber along with Radius and Stress Induced using this online calculator? To use this online calculator for Young's Modulus given Distance from Extreme Fiber along with Radius and Stress Induced, enter Radius of Curvature (R_curvature), Fibre Stress at Distance ‘y’ from NA (σ_y) & Distance from Neutral Axis (y) and hit the calculate button. Here is how the Young's Modulus given Distance from Extreme Fiber along with Radius and Stress Induced calculation can be explained with given input values -> 0.02 = ((0.152*3289474000)/0.025).

FAQ

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

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

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

In this formula, Young's Modulus uses Radius of Curvature, Fibre Stress at Distance ‘y’ from NA & Distance from Neutral Axis. We can use 1 other way(s) to calculate the same, which is/are as follows -

Young's Modulus = (Moment of Resistance*Radius of Curvature)/Area Moment of Inertia

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