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

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

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

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

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

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

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

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

460.2944 = \frac{7.2 \cdot 4170^{2}}{4 \cdot 20000 \cdot 3.4}

460.2944mm = \frac{7.2MPa \cdot {4170mm}^{2}}{4 \cdot 20000MPa \cdot 3.4mm}

460.2944 = \frac{7.2 \cdot 4170^{2}}{4 \cdot 20000 \cdot 3.4}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

t = \frac{7.2MPa \cdot {4170mm}^{2}}{4 \cdot 20000MPa \cdot 3.4mm}

Next Step Convert Units

∴

t = \frac{7.2E+6Pa \cdot {4.17m}^{2}}{4 \cdot 2E+10Pa \cdot 0.0034m}

Next Step Prepare to Evaluate

∴

t = \frac{7.2E+6 \cdot {4.17}^{2}}{4 \cdot 2E+10 \cdot 0.0034}

Next Step Evaluate

∴

t = 0.460294411764706m

Next Step Convert to Output's Unit

∴

t = 460.294411764706mm

LAST Step Rounding Answer

∴

t = 460.2944mm

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

Variables

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

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

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

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

E = \frac{f proof load \cdot L^{2}}{4 \cdot t \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 Thickness given Maximum Bending Stress at Proof Load of Leaf Spring?

Thickness given Maximum Bending Stress at Proof Load of Leaf Spring evaluator uses Thickness of Section = (Maximum Bending Stress at Proof Load*Length in Spring^2)/(4*Young's Modulus*Deflection of Spring) to evaluate the Thickness of Section, The Thickness given Maximum Bending Stress at Proof Load of Leaf Spring formula is defined as thickness of the cross-section of one plate of the spring assembly. Thickness of Section is denoted by t symbol.

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

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

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

The formula of Thickness given Maximum Bending Stress at Proof Load of Leaf Spring is expressed as Thickness of Section = (Maximum Bending Stress at Proof Load*Length in Spring^2)/(4*Young's Modulus*Deflection of Spring). Here is an example- 458996.6 = (7200000*4.17^2)/(4*20000000000*0.0034).

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

With Maximum Bending Stress at Proof Load (f_{proof load}), Length in Spring (L), Young's Modulus (E) & Deflection of Spring (δ) we can find Thickness given Maximum Bending Stress at Proof Load of Leaf Spring using the formula - Thickness of Section = (Maximum Bending Stress at Proof Load*Length in Spring^2)/(4*Young's Modulus*Deflection of Spring).

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

No, the Thickness given Maximum Bending Stress at Proof Load of Leaf Spring, measured in Length cannot be negative.

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

Thickness given Maximum Bending Stress at Proof Load of Leaf Spring is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Thickness given Maximum Bending Stress at Proof Load of Leaf Spring can be measured.

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

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

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

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

Other formulas in At Proof Load category

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

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

Variable Name