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

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

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

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

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

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

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

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

4168.6662 = \sqrt{\frac{4 \cdot 460 \cdot 20000 \cdot 3.4}{7.2}}

4168.6662mm = \sqrt{\frac{4 \cdot 460mm \cdot 20000MPa \cdot 3.4mm}{7.2MPa}}

4168.6662 = \sqrt{\frac{4 \cdot 460 \cdot 20000 \cdot 3.4}{7.2}}

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Strength of Materials » fx Length given Maximum Bending Stress at Proof Load of Leaf Spring

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L = \sqrt{\frac{4 \cdot 460mm \cdot 20000MPa \cdot 3.4mm}{7.2MPa}}

Next Step Convert Units

∴

L = \sqrt{\frac{4 \cdot 0.46m \cdot 2E+10Pa \cdot 0.0034m}{7.2E+6Pa}}

Next Step Prepare to Evaluate

∴

L = \sqrt{\frac{4 \cdot 0.46 \cdot 2E+10 \cdot 0.0034}{7.2E+6}}

Next Step Evaluate

∴

L = 4.16866618689693m

Next Step Convert to Output's Unit

∴

L = 4168.66618689693mm

LAST Step Rounding Answer

∴

L = 4168.6662mm

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

Variables

Functions

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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 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}

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

Length given Maximum Bending Stress at Proof Load of Leaf Spring evaluator uses Length in Spring = sqrt((4*Thickness of Section*Young's Modulus*Deflection of Spring)/Maximum Bending Stress at Proof Load) to evaluate the Length in Spring, The Length given Maximum Bending Stress at Proof Load of Leaf Spring formula is defined as end-to-end distance of spring. Length in Spring is denoted by L symbol.

How to evaluate Length given Maximum Bending Stress at Proof Load of Leaf Spring using this online evaluator? To use this online evaluator for Length given Maximum Bending Stress at Proof Load of Leaf Spring, enter Thickness of Section (t), Young's Modulus (E), Deflection of Spring (δ) & Maximum Bending Stress at Proof Load (f_{proof load}) and hit the calculate button.

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

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

The formula of Length given Maximum Bending Stress at Proof Load of Leaf Spring is expressed as Length in Spring = sqrt((4*Thickness of Section*Young's Modulus*Deflection of Spring)/Maximum Bending Stress at Proof Load). Here is an example- 4.2E+6 = sqrt((4*0.46*20000000000*0.0034)/7200000).

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

With Thickness of Section (t), Young's Modulus (E), Deflection of Spring (δ) & Maximum Bending Stress at Proof Load (f_{proof load}) we can find Length given Maximum Bending Stress at Proof Load of Leaf Spring using the formula - Length in Spring = sqrt((4*Thickness of Section*Young's Modulus*Deflection of Spring)/Maximum Bending Stress at Proof Load). This formula also uses Square Root (sqrt) function(s).

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

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

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

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

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

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

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

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

Other formulas in At Proof Load category

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

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

Variable Name