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Width of Each Leaf given Deflection at Load Point Graduated Length Leaves Formula

GoWidth of Each Leaf given Bending Stress in Plate Formula

GoWidth of Each Leaf given Bending Stress in Plate Extra Full Length Formula

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Width of leaf refers to the horizontal dimension of an individual layer in a leaf spring or structural element. Check FAQs

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

b - Width of Leaf?P_g - Force Taken by Graduated Length Leaves?L - Length of Cantilever of Leaf Spring?E - Modulus of Elasticity of Spring?n_g - Number of Graduated Length Leaves?δ_g - Deflection of graduated leaf at load point?t - Thickness of Leaf?

Width of Each Leaf given Deflection at Load Point Graduated Length Leaves Example

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Here is how the Width of Each Leaf given Deflection at Load Point Graduated Length Leaves equation looks like with Values.

Here is how the Width of Each Leaf given Deflection at Load Point Graduated Length Leaves equation looks like with Units.

Here is how the Width of Each Leaf given Deflection at Load Point Graduated Length Leaves equation looks like.

108.003 = 6 \cdot 28900 \cdot \frac{500^{3}}{207000 \cdot 15 \cdot 37.404 \cdot 12^{3}}

108.003mm = 6 \cdot 28900N \cdot \frac{{500mm}^{3}}{207000N/mm² \cdot 15 \cdot 37.404mm \cdot {12mm}^{3}}

108.003 = 6 \cdot 28900 \cdot \frac{500^{3}}{207000 \cdot 15 \cdot 37.404 \cdot 12^{3}}

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Width of Each Leaf given Deflection at Load Point Graduated Length Leaves Solution

Follow our step by step solution on how to calculate Width of Each Leaf given Deflection at Load Point Graduated Length Leaves?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

b = 6 \cdot 28900N \cdot \frac{{500mm}^{3}}{207000N/mm² \cdot 15 \cdot 37.404mm \cdot {12mm}^{3}}

Next Step Convert Units

∴

b = 6 \cdot 28900N \cdot \frac{{0.5m}^{3}}{2.1E+11Pa \cdot 15 \cdot 0.0374m \cdot {0.012m}^{3}}

Next Step Prepare to Evaluate

∴

b = 6 \cdot 28900 \cdot \frac{{0.5}^{3}}{2.1E+11 \cdot 15 \cdot 0.0374 \cdot {0.012}^{3}}

Next Step Evaluate

∴

b = 0.108002974164825m

Next Step Convert to Output's Unit

∴

b = 108.002974164825mm

LAST Step Rounding Answer

∴

b = 108.003mm

Width of Each Leaf given Deflection at Load Point Graduated Length Leaves Formula Elements

Variables

Width of Leaf

Width of leaf refers to the horizontal dimension of an individual layer in a leaf spring or structural element.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Leaf

Force Taken by Graduated Length Leaves

Force taken by graduated length leaves involves the varying load distribution due to differences in thickness or material properties along the length.

Symbol: P_g

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force Taken by Graduated Length Leaves

Length of Cantilever of Leaf Spring

Length of cantilever of leaf spring refers to the distance from the fixed support to the free end where the load is applied.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Cantilever of Leaf Spring

Modulus of Elasticity of Spring

Modulus of elasticity of spring measures its stiffness and ability to deform elastically under stress.

Symbol: E

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity of Spring

Number of Graduated Length Leaves

Number of graduated length leaves refers to the count of layers in a leaf spring that vary in thickness or length.

Symbol: n_g

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Graduated Length Leaves

Deflection of graduated leaf at load point

The deflection of graduated leaf at load point refers to the vertical displacement that occurs when a load is applied, influenced by the leaf's varying thickness or stiffness.

Symbol: δ_g

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection of graduated leaf at load point

Thickness of Leaf

Thickness of leaf refers to the dimension of an individual layer in a leaf spring or structural element.

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 given Bending Stress in Plate

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

Go Width of Each Leaf given Bending Stress in Plate Extra Full Length

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

How to Evaluate Width of Each Leaf given Deflection at Load Point Graduated Length Leaves?

Width of Each Leaf given Deflection at Load Point Graduated Length Leaves evaluator uses Width of Leaf = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Deflection of graduated leaf at load point*Thickness of Leaf^3) to evaluate the Width of Leaf, The Width of Each Leaf given Deflection at Load Point Graduated Length Leaves formula is defined as the width of each leaf present in a multi-leaf spring. Width of Leaf is denoted by b symbol.

How to evaluate Width of Each Leaf given Deflection at Load Point Graduated Length Leaves using this online evaluator? To use this online evaluator for Width of Each Leaf given Deflection at Load Point Graduated Length Leaves, enter Force Taken by Graduated Length Leaves (P_g), Length of Cantilever of Leaf Spring (L), Modulus of Elasticity of Spring (E), Number of Graduated Length Leaves (n_g), Deflection of graduated leaf at load point (δ_g) & Thickness of Leaf (t) and hit the calculate button.

FAQs on Width of Each Leaf given Deflection at Load Point Graduated Length Leaves

What is the formula to find Width of Each Leaf given Deflection at Load Point Graduated Length Leaves?

The formula of Width of Each Leaf given Deflection at Load Point Graduated Length Leaves is expressed as Width of Leaf = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Deflection of graduated leaf at load point*Thickness of Leaf^3). Here is an example- 108005.9 = 6*28900*0.5^3/(207000000000*15*0.037404*0.012^3).

How to calculate Width of Each Leaf given Deflection at Load Point Graduated Length Leaves?

With Force Taken by Graduated Length Leaves (P_g), Length of Cantilever of Leaf Spring (L), Modulus of Elasticity of Spring (E), Number of Graduated Length Leaves (n_g), Deflection of graduated leaf at load point (δ_g) & Thickness of Leaf (t) we can find Width of Each Leaf given Deflection at Load Point Graduated Length Leaves using the formula - Width of Leaf = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Deflection of graduated leaf at load point*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=6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring/(Number of Graduated Length Leaves*Bending Stress in graduated leaf*Thickness of Leaf^2)
Width of Leaf=6*Force Taken by Full Length Leaves*Length of Cantilever of Leaf Spring/(Number of Full length Leaves*Thickness of Leaf^2*Bending Stress in full leaf)
Width of Leaf=12*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 graduated leaf*Thickness of Leaf^2)

Can the Width of Each Leaf given Deflection at Load Point Graduated Length Leaves be negative?

No, the Width of Each Leaf given Deflection at Load Point Graduated Length Leaves, measured in Length cannot be negative.

Which unit is used to measure Width of Each Leaf given Deflection at Load Point Graduated Length Leaves?

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

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Width of Each Leaf given Deflection at Load Point Graduated Length Leaves Formula

​GoWidth of Each Leaf given Bending Stress in Plate Formula

​GoWidth of Each Leaf given Bending Stress in Plate Extra Full Length Formula

Width of Each Leaf given Deflection at Load Point Graduated Length Leaves Example

Width of Each Leaf given Deflection at Load Point Graduated Length Leaves Solution

Width of Each Leaf given Deflection at Load Point Graduated Length Leaves Formula Elements

Other Formulas to find Width of Leaf

How to Evaluate Width of Each Leaf given Deflection at Load Point Graduated Length Leaves?

FAQs on Width of Each Leaf given Deflection at Load Point Graduated Length Leaves

Variable Name

GoWidth of Each Leaf given Bending Stress in Plate Formula

GoWidth of Each Leaf given Bending Stress in Plate Extra Full Length Formula