Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature Calculator

✖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 Neutral Axis [y]			+10% -10%
✖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.ⓘ Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature [σ_y]

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Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature

Formula

`"σ"_{"y"} = ("E"*"y")/"R"_{"curvature"}`

Example

`"3289.474MPa"=("20000MPa"*"25mm")/"152mm"`

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Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Fibre Stress at Distance ‘y’ from NA - (Measured in Pascal) - Fibre Stress at Distance ‘y’ from NA is denoted by σ.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)
Distance from Neutral Axis: 25 Millimeter --> 0.025 Meter (Check conversion here)
Radius of Curvature: 152 Millimeter --> 0.152 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_y = (E*y)/R_curvature --> (20000000000*0.025)/0.152

Evaluating ... ...

σ_y = 3289473684.21053

STEP 3: Convert Result to Output's Unit

3289473684.21053 Pascal -->3289.47368421053 Megapascal (Check conversion here)

FINAL ANSWER

3289.47368421053 ≈ 3289.474 Megapascal <-- Fibre Stress at Distance ‘y’ from NA

(Calculation completed in 00.004 seconds)

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< 19 Combined Axial and Bending Loads Calculators

Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams

Go 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)

Maximum Stress in Short Beams for Large Deflection

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

Neutral Axis Moment of Inertia given Maximum Stress for Short Beams

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

Maximum Bending Moment given Maximum Stress for Short Beams

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

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

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

Maximum Stress for Short Beams

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

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

Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature

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

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

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

Deflection for Transverse Loading given Deflection for Axial Bending

Go Deflection for Transverse Loading Alone = Deflection of Beam*(1-(Axial Load/Critical Buckling Load))

Deflection for Axial Compression and Bending

Go Deflection of Beam = Deflection for Transverse Loading Alone/(1-(Axial Load/Critical Buckling Load))

Distance from Extreme Fiber given Moment of Resistance and Moment of Inertia along with Stress

Go Distance from Neutral Axis = (Area Moment of Inertia*Bending Stress)/Moment of Resistance

Moment of Inertia given Moment of Resistance, Stress induced and Distance from Extreme Fiber

Go Area Moment of Inertia = (Distance from Neutral Axis*Moment of Resistance)/Bending Stress

Stress Induced using Moment of Resistance, Moment of Inertia and Distance from Extreme Fiber

Go Bending Stress = (Distance from Neutral Axis*Moment of Resistance)/Area Moment of Inertia

Moment of Resistance in Bending Equation

Go Moment of Resistance = (Area Moment of Inertia*Bending Stress)/Distance from Neutral Axis

Young's Modulus using Moment of Resistance, Moment of Inertia and Radius

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

Moment of Resistance given Young's Modulus, Moment of Inertia and Radius

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

Moment of Inertia given Young's Modulus, Moment of Resistance and Radius

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

Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature Formula

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

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 Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature?

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

How to calculate Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature using this online calculator? To use this online calculator for Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature, enter Young's Modulus (E), Distance from Neutral Axis (y) & Radius of Curvature (R_curvature) and hit the calculate button. Here is how the Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature calculation can be explained with given input values -> 0.003289 = (20000000000*0.025)/0.152.

FAQ

What is Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature?

The Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature formula is defined as the stress induced on the material when the beam is undergoing simple bending and is represented as σ_y = (E*y)/R_curvature or Fibre Stress at Distance ‘y’ from NA = (Young's Modulus*Distance from Neutral Axis)/Radius of Curvature. Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain, Distance from Neutral Axis is measured between N.A. and the extreme point & The Radius of Curvature is the reciprocal of the curvature.

How to calculate Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature?

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