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Width of Each Leaf given Bending Stress on Graduated Length Leaves Formula

GoWidth of Each Leaf given Bending Stress in Plate Formula

GoWidth of Each Leaf given Deflection at Load Point Graduated Length Leaves 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 = 12 \cdot P \cdot \frac{L}{(3 \cdot n f + 2 \cdot n g) \cdot σ b g \cdot t^{2}}

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?σ_bg - Bending Stress in graduated leaf?t - Thickness of Leaf?

Width of Each Leaf given Bending Stress on Graduated Length Leaves Example

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Here is how the Width of Each Leaf given Bending Stress on Graduated Length Leaves equation looks like with Values.

Here is how the Width of Each Leaf given Bending Stress on Graduated Length Leaves equation looks like with Units.

Here is how the Width of Each Leaf given Bending Stress on Graduated Length Leaves equation looks like.

108.001 = 12 \cdot 37569.7 \cdot \frac{500}{(3 \cdot 3 + 2 \cdot 15) \cdot 371.65 \cdot 12^{2}}

108.001mm = 12 \cdot 37569.7N \cdot \frac{500mm}{(3 \cdot 3 + 2 \cdot 15) \cdot 371.65N/mm² \cdot {12mm}^{2}}

108.001 = 12 \cdot 37569.7 \cdot \frac{500}{(3 \cdot 3 + 2 \cdot 15) \cdot 371.65 \cdot 12^{2}}

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Width of Each Leaf given Bending Stress on Graduated Length Leaves Solution

Follow our step by step solution on how to calculate Width of Each Leaf given Bending Stress on Graduated Length Leaves?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

b = 12 \cdot 37569.7N \cdot \frac{500mm}{(3 \cdot 3 + 2 \cdot 15) \cdot 371.65N/mm² \cdot {12mm}^{2}}

Next Step Convert Units

∴

b = 12 \cdot 37569.7N \cdot \frac{0.5m}{(3 \cdot 3 + 2 \cdot 15) \cdot 3.7E+8Pa \cdot {0.012m}^{2}}

Next Step Prepare to Evaluate

∴

b = 12 \cdot 37569.7 \cdot \frac{0.5}{(3 \cdot 3 + 2 \cdot 15) \cdot 3.7E+8 \cdot {0.012}^{2}}

Next Step Evaluate

∴

b = 0.10800099119082m

Next Step Convert to Output's Unit

∴

b = 108.00099119082mm

LAST Step Rounding Answer

∴

b = 108.001mm

Width of Each Leaf given Bending Stress on 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 Applied at End of Leaf Spring

Force applied at end of leaf spring generates bending moments, leading to stress and deflection along the spring's length.

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 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

Number of Full length Leaves

Number of full length leaves refers to the total count of complete layers in a leaf spring assembly.

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 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

Bending Stress in graduated leaf

Bending stress in graduated leaf varies across its thickness, with stress distribution changing due to different material properties or thickness variations, affecting how the leaf resists bending.

Symbol: σ_bg

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bending Stress in graduated leaf

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 Deflection at Load Point Graduated Length Leaves

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

How to Evaluate Width of Each Leaf given Bending Stress on Graduated Length Leaves?

Width of Each Leaf given Bending Stress on Graduated Length Leaves evaluator uses 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) to evaluate the Width of Leaf, Width of Each Leaf given Bending Stress on Graduated Length Leaves formula is defined as a measure of the width of each leaf in a graduated length leaf system, considering the bending stress, load, and material properties, to ensure the structural integrity and stability of the leaves. Width of Leaf is denoted by b symbol.

How to evaluate Width of Each Leaf given Bending Stress on Graduated Length Leaves using this online evaluator? To use this online evaluator for Width of Each Leaf given Bending Stress on Graduated Length Leaves, 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), Bending Stress in graduated leaf (σ_bg) & Thickness of Leaf (t) and hit the calculate button.

FAQs on Width of Each Leaf given Bending Stress on Graduated Length Leaves

What is the formula to find Width of Each Leaf given Bending Stress on Graduated Length Leaves?

The formula of Width of Each Leaf given Bending Stress on Graduated Length Leaves is expressed as 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). Here is an example- 108001.6 = 12*37569.7*0.5/((3*3+2*15)*371650000*0.012^2).

How to calculate Width of Each Leaf given Bending Stress on Graduated Length Leaves?

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), Bending Stress in graduated leaf (σ_bg) & Thickness of Leaf (t) we can find Width of Each Leaf given Bending Stress on Graduated Length Leaves using the formula - 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).

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 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)
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)

Can the Width of Each Leaf given Bending Stress on Graduated Length Leaves be negative?

No, the Width of Each Leaf given Bending Stress on Graduated Length Leaves, measured in Length cannot be negative.

Which unit is used to measure Width of Each Leaf given Bending Stress on Graduated Length Leaves?

Width of Each Leaf given Bending Stress on 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 Bending Stress on Graduated Length Leaves can be measured.

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Width of Each Leaf given Bending Stress on Graduated Length Leaves Formula

​GoWidth of Each Leaf given Bending Stress in Plate Formula

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

Width of Each Leaf given Bending Stress on Graduated Length Leaves Example

Width of Each Leaf given Bending Stress on Graduated Length Leaves Solution

Width of Each Leaf given Bending Stress on Graduated Length Leaves Formula Elements

Other Formulas to find Width of Leaf

How to Evaluate Width of Each Leaf given Bending Stress on Graduated Length Leaves?

FAQs on Width of Each Leaf given Bending Stress on Graduated Length Leaves

Variable Name

GoWidth of Each Leaf given Bending Stress in Plate Formula

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