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Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring Formula

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Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain. Check FAQs

E = \frac{f proof load \cdot L^{2}}{4 \cdot t \cdot δ}

E - Young's Modulus?f_{proof load} - Maximum Bending Stress at Proof Load?L - Length in Spring?t - Thickness of Section?δ - Deflection of Spring?

Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring Example

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Here is how the Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring equation looks like with Values.

Here is how the Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring equation looks like with Units.

Here is how the Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring equation looks like.

20012.8005 = \frac{7.2 \cdot 4170^{2}}{4 \cdot 460 \cdot 3.4}

20012.8005MPa = \frac{7.2MPa \cdot {4170mm}^{2}}{4 \cdot 460mm \cdot 3.4mm}

20012.8005 = \frac{7.2 \cdot 4170^{2}}{4 \cdot 460 \cdot 3.4}

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Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring Solution

Follow our step by step solution on how to calculate Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring?

FIRST Step Consider the formula

E = \frac{f proof load \cdot L^{2}}{4 \cdot t \cdot δ}

Next Step Substitute values of Variables

∴

E = \frac{7.2MPa \cdot {4170mm}^{2}}{4 \cdot 460mm \cdot 3.4mm}

Next Step Convert Units

∴

E = \frac{7.2E+6Pa \cdot {4.17m}^{2}}{4 \cdot 0.46m \cdot 0.0034m}

Next Step Prepare to Evaluate

∴

E = \frac{7.2E+6 \cdot {4.17}^{2}}{4 \cdot 0.46 \cdot 0.0034}

Next Step Evaluate

∴

E = 20012800511.5089Pa

Next Step Convert to Output's Unit

∴

E = 20012.800511509MPa

LAST Step Rounding Answer

∴

E = 20012.8005MPa

Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring Formula Elements

Variables

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 can be positive or negative.

Formulas to find Young's Modulus

Maximum Bending Stress at Proof Load

Maximum Bending Stress at Proof Load is the maximum normal stress that is induced at a point in a body subjected to loads that cause it to bend.

Symbol: f_{proof load}

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Maximum Bending Stress at Proof Load

Length in Spring

Length in Spring is the measurement or extent of something from end to end.

Symbol: L

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Length in Spring

Thickness of Section

Thickness of Section is the dimension through an object, as opposed to length or width.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Section

Deflection of Spring

Deflection of Spring is how a spring responds when force is applied or released.

Symbol: δ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection of Spring

Other formulas in At Proof Load category

Go Maximum Bending Stress at Proof Load of Leaf Spring

f proof load = \frac{4 \cdot t \cdot E \cdot δ}{L^{2}}

Go Thickness given Maximum Bending Stress at Proof Load of Leaf Spring

t = \frac{f proof load \cdot L^{2}}{4 \cdot E \cdot δ}

Go Deflection given Maximum Bending Stress at Proof Load of Leaf Spring

δ = \frac{f proof load \cdot L^{2}}{4 \cdot t \cdot E}

Go Length given Maximum Bending Stress at Proof Load of Leaf Spring

L = \sqrt{\frac{4 \cdot t \cdot E \cdot δ}{f proof load}}

How to Evaluate Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring?

Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring evaluator uses Young's Modulus = (Maximum Bending Stress at Proof Load*Length in Spring^2)/(4*Thickness of Section*Deflection of Spring) to evaluate the Young's Modulus, The Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring formula is defined as the measure of an object's or substance's resistance to being deformed elastically when stress is applied. Young's Modulus is denoted by E symbol.

How to evaluate Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring using this online evaluator? To use this online evaluator for Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring, enter Maximum Bending Stress at Proof Load (f_{proof load}), Length in Spring (L), Thickness of Section (t) & Deflection of Spring (δ) and hit the calculate button.

FAQs on Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring

What is the formula to find Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring?

The formula of Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring is expressed as Young's Modulus = (Maximum Bending Stress at Proof Load*Length in Spring^2)/(4*Thickness of Section*Deflection of Spring). Here is an example- 0.019956 = (7200000*4.17^2)/(4*0.46*0.0034).

How to calculate Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring?

With Maximum Bending Stress at Proof Load (f_{proof load}), Length in Spring (L), Thickness of Section (t) & Deflection of Spring (δ) we can find Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring using the formula - Young's Modulus = (Maximum Bending Stress at Proof Load*Length in Spring^2)/(4*Thickness of Section*Deflection of Spring).

Can the Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring be negative?

Yes, the Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring, measured in Stress can be negative.

Which unit is used to measure Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring?

Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring 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 Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring can be measured.

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Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring Formula

Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring Example

Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring Solution

Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring Formula Elements

Other formulas in At Proof Load category

How to Evaluate Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring?

FAQs on Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring

Variable Name