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Maximum Bending Stress in Piston Pin Formula

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Maximum Bending Stress in Piston Pin is the maximum about of stress generated into the piston pin which causes the pin to bend. Check FAQs

σ max = 4 \cdot F P \cdot D i \cdot \frac{d o}{π \cdot ({d o}^{4} - {d i}^{4})}

σ_max - Maximum Bending Stress in Piston Pin?F_P - Force Exerted on Piston?D_i - Diameter of Cylinder Bore?d_o - Outer Diameter of Piston Pin?d_i - Inner Diameter of Piston Pin?π - Archimedes' constant?

Maximum Bending Stress in Piston Pin Example

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Here is how the Maximum Bending Stress in Piston Pin equation looks like with Values.

Here is how the Maximum Bending Stress in Piston Pin equation looks like with Units.

Here is how the Maximum Bending Stress in Piston Pin equation looks like.

221.3985 = 4 \cdot 144 \cdot 180 \cdot \frac{55.5}{3.1416 \cdot ({55.5}^{4} - {33.2}^{4})}

221.3985N/mm² = 4 \cdot 144kN \cdot 180mm \cdot \frac{55.5mm}{3.1416 \cdot ({55.5mm}^{4} - {33.2mm}^{4})}

221.3985 = 4 \cdot 144 \cdot 180 \cdot \frac{55.5}{3.1416 \cdot ({55.5}^{4} - {33.2}^{4})}

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Maximum Bending Stress in Piston Pin Solution

Follow our step by step solution on how to calculate Maximum Bending Stress in Piston Pin?

FIRST Step Consider the formula

σ max = 4 \cdot F P \cdot D i \cdot \frac{d o}{π \cdot ({d o}^{4} - {d i}^{4})}

Next Step Substitute values of Variables

∴

σ max = 4 \cdot 144kN \cdot 180mm \cdot \frac{55.5mm}{π \cdot ({55.5mm}^{4} - {33.2mm}^{4})}

Next Step Substitute values of Constants

∴

σ max = 4 \cdot 144kN \cdot 180mm \cdot \frac{55.5mm}{3.1416 \cdot ({55.5mm}^{4} - {33.2mm}^{4})}

Next Step Convert Units

∴

σ max = 4 \cdot 144000N \cdot 0.18m \cdot \frac{0.0555m}{3.1416 \cdot ({0.0555m}^{4} - {0.0332m}^{4})}

Next Step Prepare to Evaluate

∴

σ max = 4 \cdot 144000 \cdot 0.18 \cdot \frac{0.0555}{3.1416 \cdot ({0.0555}^{4} - {0.0332}^{4})}

Next Step Evaluate

∴

σ max = 221398515.622363Pa

Next Step Convert to Output's Unit

∴

σ max = 221.398515622363N/mm²

LAST Step Rounding Answer

∴

σ max = 221.3985N/mm²

Maximum Bending Stress in Piston Pin Formula Elements

Variables

Constants

Maximum Bending Stress in Piston Pin

Maximum Bending Stress in Piston Pin is the maximum about of stress generated into the piston pin which causes the pin to bend.

Symbol: σ_max

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Maximum Bending Stress in Piston Pin

Force Exerted on Piston

Force Exerted on Piston is the force due to the combustion of gases onto the top of a piston head.

Symbol: F_P

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Force Exerted on Piston

Diameter of Cylinder Bore

Diameter of Cylinder Bore is the internal surface diameter of an engine cylinder.

Symbol: D_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Cylinder Bore

Outer Diameter of Piston Pin

Outer Diameter of Piston Pin is the diameter of the outer surface of a piston pin.

Symbol: d_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Diameter of Piston Pin

Inner Diameter of Piston Pin

Inner Diameter of Piston Pin is the diameter of the inside surface of a piston pin.

Symbol: d_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Diameter of Piston Pin

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Piston Pin category

Go Inner Diameter of Piston Pin

d i = 0.6 \cdot d o

Go Length of Piston Pin used in Connecting Rod

l 1 = 0.45 \cdot D i

Go Maximum Bending Moment on Piston Pin

M b = F P \cdot \frac{D i}{8}

Go Outer Diameter of Piston Pin

d o = π \cdot {D i}^{2} \cdot \frac{p max}{4 \cdot p b c \cdot l 1}

How to Evaluate Maximum Bending Stress in Piston Pin?

Maximum Bending Stress in Piston Pin evaluator uses Maximum Bending Stress in Piston Pin = 4*Force Exerted on Piston*Diameter of Cylinder Bore*Outer Diameter of Piston Pin/(pi*(Outer Diameter of Piston Pin^4-Inner Diameter of Piston Pin^4)) to evaluate the Maximum Bending Stress in Piston Pin, Maximum bending stress in piston pin is the maximum amount of bending stress that is developed in the piston pin. Maximum Bending Stress in Piston Pin is denoted by σ_max symbol.

How to evaluate Maximum Bending Stress in Piston Pin using this online evaluator? To use this online evaluator for Maximum Bending Stress in Piston Pin, enter Force Exerted on Piston (F_P), Diameter of Cylinder Bore (D_i), Outer Diameter of Piston Pin (d_o) & Inner Diameter of Piston Pin (d_i) and hit the calculate button.

FAQs on Maximum Bending Stress in Piston Pin

What is the formula to find Maximum Bending Stress in Piston Pin?

The formula of Maximum Bending Stress in Piston Pin is expressed as Maximum Bending Stress in Piston Pin = 4*Force Exerted on Piston*Diameter of Cylinder Bore*Outer Diameter of Piston Pin/(pi*(Outer Diameter of Piston Pin^4-Inner Diameter of Piston Pin^4)). Here is an example- 0.000221 = 4*144000*0.18*0.0555/(pi*(0.0555^4-0.0332^4)).

How to calculate Maximum Bending Stress in Piston Pin?

With Force Exerted on Piston (F_P), Diameter of Cylinder Bore (D_i), Outer Diameter of Piston Pin (d_o) & Inner Diameter of Piston Pin (d_i) we can find Maximum Bending Stress in Piston Pin using the formula - Maximum Bending Stress in Piston Pin = 4*Force Exerted on Piston*Diameter of Cylinder Bore*Outer Diameter of Piston Pin/(pi*(Outer Diameter of Piston Pin^4-Inner Diameter of Piston Pin^4)). This formula also uses Archimedes' constant .

Can the Maximum Bending Stress in Piston Pin be negative?

No, the Maximum Bending Stress in Piston Pin, measured in Stress cannot be negative.

Which unit is used to measure Maximum Bending Stress in Piston Pin?

Maximum Bending Stress in Piston Pin 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 Maximum Bending Stress in Piston Pin can be measured.

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Maximum Bending Stress in Piston Pin Formula

Maximum Bending Stress in Piston Pin Example

Maximum Bending Stress in Piston Pin Solution

Maximum Bending Stress in Piston Pin Formula Elements

Other formulas in Piston Pin category

How to Evaluate Maximum Bending Stress in Piston Pin?

FAQs on Maximum Bending Stress in Piston Pin

Variable Name