FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Width of Leaf given Deflection at end of Spring Formula

GoWidth of each leaf of leaf Spring given Deflection of Spring at load point Formula

GoWidth of each leaf given Bending Stress in extra full length leaves Formula

Fx Copy

LaTeX Copy

Width of Leaf is defined as the width of each leaf present in a multi-leaf spring. Check FAQs

b = 12 \cdot P \cdot \frac{L^{3}}{(3 \cdot n f + 2 \cdot n g) \cdot E \cdot δ \cdot t^{3}}

b - Width of Leaf?P - Force Applied at End of Leaf Spring?L - Length of Cantilever of Leaf Spring?n_f - Number of Full length Leaves?n_g - Number of Graduated Length Leaves?E - Modulus of Elasticity of Spring?δ - Deflection at End of Leaf Spring?t - Thickness of Leaf?

Width of Leaf given Deflection at end of Spring Example

With values

With units

Only example

Here is how the Width of Leaf given Deflection at end of Spring equation looks like with Values.

Here is how the Width of Leaf given Deflection at end of Spring equation looks like with Units.

Here is how the Width of Leaf given Deflection at end of Spring equation looks like.

108 = 12 \cdot 37500 \cdot \frac{500^{3}}{(3 \cdot 3 + 2 \cdot 15) \cdot 207000 \cdot 37.3353 \cdot 12^{3}}

108mm = 12 \cdot 37500N \cdot \frac{{500mm}^{3}}{(3 \cdot 3 + 2 \cdot 15) \cdot 207000N/mm² \cdot 37.3353mm \cdot {12mm}^{3}}

108 = 12 \cdot 37500 \cdot \frac{500^{3}}{(3 \cdot 3 + 2 \cdot 15) \cdot 207000 \cdot 37.3353 \cdot 12^{3}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Design of Automobile Elements » fx Width of Leaf given Deflection at end of Spring

Width of Leaf given Deflection at end of Spring Solution

Follow our step by step solution on how to calculate Width of Leaf given Deflection at end of Spring?

FIRST Step Consider the formula

b = 12 \cdot P \cdot \frac{L^{3}}{(3 \cdot n f + 2 \cdot n g) \cdot E \cdot δ \cdot t^{3}}

Next Step Substitute values of Variables

∴

b = 12 \cdot 37500N \cdot \frac{{500mm}^{3}}{(3 \cdot 3 + 2 \cdot 15) \cdot 207000N/mm² \cdot 37.3353mm \cdot {12mm}^{3}}

Next Step Convert Units

∴

b = 12 \cdot 37500N \cdot \frac{{0.5m}^{3}}{(3 \cdot 3 + 2 \cdot 15) \cdot 2.1E+11Pa \cdot 0.0373m \cdot {0.012m}^{3}}

Next Step Prepare to Evaluate

∴

b = 12 \cdot 37500 \cdot \frac{{0.5}^{3}}{(3 \cdot 3 + 2 \cdot 15) \cdot 2.1E+11 \cdot 0.0373 \cdot {0.012}^{3}}

Next Step Evaluate

∴

b = 0.107999992544242m

Next Step Convert to Output's Unit

∴

b = 107.999992544242mm

LAST Step Rounding Answer

∴

b = 108mm

Width of Leaf given Deflection at end of Spring Formula Elements

Variables

Width of Leaf

Width of Leaf is defined as the width of each leaf present in a multi-leaf spring.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Leaf

Force Applied at End of Leaf Spring

Force Applied at End of Leaf Spring is the force exerted at the end of a leaf spring with extra full length leaves, affecting its overall performance.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force Applied at End of Leaf Spring

Length of Cantilever of Leaf Spring

Length of Cantilever of Leaf Spring is the distance from the fixed point to the end of the cantilever in an extra full-length leaf spring system.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Cantilever of Leaf Spring

Number of Full length Leaves

Number of Full Length Leaves is the count of leaves that have reached their maximum possible length.

Symbol: n_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Full length Leaves

Number of Graduated Length Leaves

Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf.

Symbol: n_g

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Graduated Length Leaves

Modulus of Elasticity of Spring

Modulus of Elasticity of Spring is the measure of the spring's stiffness, representing the amount of stress it can withstand without deforming.

Symbol: E

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity of Spring

Deflection at End of Leaf Spring

Deflection at end of leaf spring is the maximum displacement of the leaf spring's end from its original position when a force is applied.

Symbol: δ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection at End of Leaf Spring

Thickness of Leaf

Thickness of Leaf is the measure of the distance from the top surface to the bottom surface of a leaf in extra full length leaves.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Leaf

Other Formulas to find Width of Leaf

Go Width of each leaf of leaf Spring given Deflection of Spring at load point

b = 4 \cdot P g \cdot \frac{L^{3}}{E \cdot n g \cdot δ \cdot t^{3}}

Go Width of each leaf given Bending Stress in extra full length leaves

b = 18 \cdot P \cdot \frac{L}{(3 \cdot n f + 2 \cdot n g) \cdot σ b f \cdot t^{2}}

Other formulas in Extra Full Length Leaves category

Go Bending Stress in Plate Graduated Length Leaves

σ b f = 6 \cdot P g \cdot \frac{L}{n g \cdot b \cdot t^{2}}

Go Deflection at Load Point Graduated Length Leaves

δ g = 6 \cdot P g \cdot \frac{L^{3}}{E \cdot n g \cdot b \cdot t^{3}}

How to Evaluate Width of Leaf given Deflection at end of Spring?

Width of Leaf given Deflection at end of Spring evaluator uses Width of Leaf = 12*Force Applied at End of Leaf Spring*(Length of Cantilever of Leaf Spring^3)/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Modulus of Elasticity of Spring*Deflection at End of Leaf Spring*Thickness of Leaf^3) to evaluate the Width of Leaf, Width of Leaf given Deflection at end of Spring formula is defined as a measure of the width of a leaf in an extra full-length leaf setup, taking into account the deflection at the end of the spring, which is crucial in understanding the mechanical properties of the leaf. Width of Leaf is denoted by b symbol.

How to evaluate Width of Leaf given Deflection at end of Spring using this online evaluator? To use this online evaluator for Width of Leaf given Deflection at end of Spring, enter Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), Number of Full length Leaves (n_f), Number of Graduated Length Leaves (n_g), Modulus of Elasticity of Spring (E), Deflection at End of Leaf Spring (δ) & Thickness of Leaf (t) and hit the calculate button.

FAQs on Width of Leaf given Deflection at end of Spring

What is the formula to find Width of Leaf given Deflection at end of Spring?

The formula of Width of Leaf given Deflection at end of Spring is expressed as Width of Leaf = 12*Force Applied at End of Leaf Spring*(Length of Cantilever of Leaf Spring^3)/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Modulus of Elasticity of Spring*Deflection at End of Leaf Spring*Thickness of Leaf^3). Here is an example- 198408.7 = 12*37500*(0.5^3)/((3*3+2*15)*207000000000*0.03733534*0.012^3).

How to calculate Width of Leaf given Deflection at end of Spring?

With Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), Number of Full length Leaves (n_f), Number of Graduated Length Leaves (n_g), Modulus of Elasticity of Spring (E), Deflection at End of Leaf Spring (δ) & Thickness of Leaf (t) we can find Width of Leaf given Deflection at end of Spring using the formula - Width of Leaf = 12*Force Applied at End of Leaf Spring*(Length of Cantilever of Leaf Spring^3)/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Modulus of Elasticity of Spring*Deflection at End of Leaf Spring*Thickness of Leaf^3).

What are the other ways to Calculate Width of Leaf?

Here are the different ways to Calculate Width of Leaf-

Width of Leaf=4*Force Taken by Graduated Length Leaves*(Length of Cantilever of Leaf Spring^3)/(Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Deflection at End of Leaf Spring*Thickness of Leaf^3)
Width of Leaf=18*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Bending Stress in Full Leaf*Thickness of Leaf^2)

Can the Width of Leaf given Deflection at end of Spring be negative?

No, the Width of Leaf given Deflection at end of Spring, measured in Length cannot be negative.

Which unit is used to measure Width of Leaf given Deflection at end of Spring?

Width of Leaf given Deflection at end of Spring is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Width of Leaf given Deflection at end of Spring can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Width of Leaf given Deflection at end of Spring Formula

​GoWidth of each leaf of leaf Spring given Deflection of Spring at load point Formula

​GoWidth of each leaf given Bending Stress in extra full length leaves Formula

Width of Leaf given Deflection at end of Spring Example

Width of Leaf given Deflection at end of Spring Solution

Width of Leaf given Deflection at end of Spring Formula Elements

Other Formulas to find Width of Leaf

Other formulas in Extra Full Length Leaves category

How to Evaluate Width of Leaf given Deflection at end of Spring?

FAQs on Width of Leaf given Deflection at end of Spring

Variable Name

GoWidth of each leaf of leaf Spring given Deflection of Spring at load point Formula

GoWidth of each leaf given Bending Stress in extra full length leaves Formula