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

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Fibre Stress at Distance ‘y’ from NA is denoted by σ. Check FAQs
σy=EyRcurvature
σy - Fibre Stress at Distance ‘y’ from NA?E - Young's Modulus?y - Distance from Neutral Axis?Rcurvature - Radius of Curvature?

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

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Here is how the Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature equation looks like with Values.

Here is how the Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature equation looks like with Units.

Here is how the Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature equation looks like.

3289.4737Edit=20000Edit25Edit152Edit
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Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature Solution

Follow our step by step solution on how to calculate Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature?

FIRST Step Consider the formula
σy=EyRcurvature
Next Step Substitute values of Variables
σy=20000MPa25mm152mm
Next Step Convert Units
σy=2E+10Pa0.025m0.152m
Next Step Prepare to Evaluate
σy=2E+100.0250.152
Next Step Evaluate
σy=3289473684.21053Pa
Next Step Convert to Output's Unit
σy=3289.47368421053MPa
LAST Step Rounding Answer
σy=3289.4737MPa

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

Variables
Fibre Stress at Distance ‘y’ from NA
Fibre Stress at Distance ‘y’ from NA is denoted by σ.
Symbol: σy
Measurement: StressUnit: MPa
Note: Value should be greater than 0.
Young's Modulus
Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Symbol: E
Measurement: StressUnit: MPa
Note: Value should be greater than 0.
Distance from Neutral Axis
Distance from Neutral Axis is measured between N.A. and the extreme point.
Symbol: y
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Radius of Curvature
The Radius of Curvature is the reciprocal of the curvature.
Symbol: Rcurvature
Measurement: LengthUnit: mm
Note: Value should be greater than 0.

Other formulas in Combined Axial and Bending Loads category

​Go Maximum Stress for Short Beams
σmax=(PA)+(MmaxyI)
​Go Axial Load given Maximum Stress for Short Beams
P=A(σmax-(MmaxyI))
​Go Cross-Sectional Area given Maximum Stress for Short Beams
A=Pσmax-(MmaxyI)
​Go Maximum Bending Moment given Maximum Stress for Short Beams
Mmax=(σmax-(PA))Iy

How to Evaluate 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 evaluator uses Fibre Stress at Distance ‘y’ from NA = (Young's Modulus*Distance from Neutral Axis)/Radius of Curvature to evaluate 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 σy symbol.

How to evaluate Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature using this online evaluator? To use this online evaluator 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 (Rcurvature) and hit the calculate button.

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

What is the formula to find Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature?
The formula of Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature is expressed as Fibre Stress at Distance ‘y’ from NA = (Young's Modulus*Distance from Neutral Axis)/Radius of Curvature. Here is an example- 0.003289 = (20000000000*0.025)/0.152.
How to calculate Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature?
With Young's Modulus (E), Distance from Neutral Axis (y) & Radius of Curvature (Rcurvature) we can find Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature using the formula - Fibre Stress at Distance ‘y’ from NA = (Young's Modulus*Distance from Neutral Axis)/Radius of Curvature.
Can the Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature be negative?
No, the Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature, measured in Stress cannot be negative.
Which unit is used to measure 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 is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature can be measured.
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