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Bending Stress on Graduated Length Leaves Formula

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Bending Stress in graduated leaf is the stress developed in a leaf due to its own weight and external forces, affecting its shape and structure. Check FAQs

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

σ_bg - Bending Stress in Graduated 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?b - Width of Leaf?t - Thickness of Leaf?

Bending Stress on Graduated Length Leaves Example

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Here is how the Bending Stress on Graduated Length Leaves equation looks like with Values.

Here is how the Bending Stress on Graduated Length Leaves equation looks like with Units.

Here is how the Bending Stress on Graduated Length Leaves equation looks like.

370.9639 = 12 \cdot 37500 \cdot \frac{500}{(3 \cdot 3 + 2 \cdot 15) \cdot 108 \cdot 12^{2}}

370.9639N/mm² = 12 \cdot 37500N \cdot \frac{500mm}{(3 \cdot 3 + 2 \cdot 15) \cdot 108mm \cdot {12mm}^{2}}

370.9639 = 12 \cdot 37500 \cdot \frac{500}{(3 \cdot 3 + 2 \cdot 15) \cdot 108 \cdot 12^{2}}

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Bending Stress on Graduated Length Leaves Solution

Follow our step by step solution on how to calculate Bending Stress on Graduated Length Leaves?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ b g = 12 \cdot 37500N \cdot \frac{500mm}{(3 \cdot 3 + 2 \cdot 15) \cdot 108mm \cdot {12mm}^{2}}

Next Step Convert Units

∴

σ b g = 12 \cdot 37500N \cdot \frac{0.5m}{(3 \cdot 3 + 2 \cdot 15) \cdot 0.108m \cdot {0.012m}^{2}}

Next Step Prepare to Evaluate

∴

σ b g = 12 \cdot 37500 \cdot \frac{0.5}{(3 \cdot 3 + 2 \cdot 15) \cdot 0.108 \cdot {0.012}^{2}}

Next Step Evaluate

∴

σ b g = 370963912.630579Pa

Next Step Convert to Output's Unit

∴

σ b g = 370.963912630579N/mm²

LAST Step Rounding Answer

∴

σ b g = 370.9639N/mm²

Bending Stress on Graduated Length Leaves Formula Elements

Variables

Bending Stress in Graduated Leaf

Bending Stress in graduated leaf is the stress developed in a leaf due to its own weight and external forces, affecting its shape and structure.

Symbol: σ_bg

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bending Stress in Graduated 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

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

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 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 Bending Stress on Graduated Length Leaves?

Bending Stress on Graduated Length Leaves evaluator uses Bending Stress in Graduated 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)*Width of Leaf*Thickness of Leaf^2) to evaluate the Bending Stress in Graduated Leaf, Bending Stress on Graduated Length Leaves formula is defined as a measure of the stress experienced by graduated length leaves due to external loads, taking into account the leaf's dimensions, material properties, and the number of full and graduated leaves, providing a critical safety parameter in the design of leaf-based systems. Bending Stress in Graduated Leaf is denoted by σ_bg symbol.

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

FAQs on Bending Stress on Graduated Length Leaves

What is the formula to find Bending Stress on Graduated Length Leaves?

The formula of Bending Stress on Graduated Length Leaves is expressed as Bending Stress in Graduated 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)*Width of Leaf*Thickness of Leaf^2). Here is an example- 0.000371 = 12*37500*0.5/((3*3+2*15)*0.108*0.012^2).

How to calculate 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), Width of Leaf (b) & Thickness of Leaf (t) we can find Bending Stress on Graduated Length Leaves using the formula - Bending Stress in Graduated 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)*Width of Leaf*Thickness of Leaf^2).

Can the Bending Stress on Graduated Length Leaves be negative?

No, the Bending Stress on Graduated Length Leaves, measured in Stress cannot be negative.

Which unit is used to measure Bending Stress on Graduated Length Leaves?

Bending Stress on Graduated Length Leaves is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Bending Stress on Graduated Length Leaves can be measured.

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Bending Stress on Graduated Length Leaves Formula

Bending Stress on Graduated Length Leaves Example

Bending Stress on Graduated Length Leaves Solution

Bending Stress on Graduated Length Leaves Formula Elements

Other formulas in Extra Full Length Leaves category

How to Evaluate Bending Stress on Graduated Length Leaves?

FAQs on Bending Stress on Graduated Length Leaves

Variable Name