Maximum Bending Stress in Piston Pin Calculator

✖Force on Piston is the force due to the combustion of gases onto the top of a piston head.ⓘ Force on Piston [F_P]			+10% -10%
✖Diameter of Cylinder Bore is the internal surface diameter of an engine cylinder.ⓘ Diameter of Cylinder Bore [D_i]			+10% -10%
✖Outer diameter of piston pin is the diameter of the outer surface of a piston pin.ⓘ Outer Diameter of Piston Pin [d_o]			+10% -10%
✖Inner diameter of piston pin is the diameter of the inside surface of a piston pin.ⓘ Inner Diameter of Piston Pin [d_i]			+10% -10%

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

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Formula

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Maximum Bending Stress in Piston Pin

Formula

`"σ"_{"max"} = 4*"F"_{"P"}*"D"_{"i"}*"d"_{"o"}/(pi*("d"_{"o"}^4-"d"_{"i"}^4))`

Example

`"221.3985N/mm²"=4*"144kN"*"180mm"*"55.5mm"/(pi*(("55.5mm")^4-("33.2mm")^4))`

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Maximum Bending Stress in Piston Pin Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Bending Stress in Piston Pin = 4*Force on Piston*Diameter of Cylinder Bore*Outer Diameter of Piston Pin/(pi*(Outer Diameter of Piston Pin^4-Inner Diameter of Piston Pin^4))
σ_max = 4*F_P*D_i*d_o/(pi*(d_o^4-d_i^4))
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Maximum Bending Stress in Piston Pin - (Measured in Pascal) - Maximum Bending Stress in Piston Pin is the maximum about of stress generated into the piston pin which causes the pin to bend.
Force on Piston - (Measured in Newton) - Force on Piston is the force due to the combustion of gases onto the top of a piston head.
Diameter of Cylinder Bore - (Measured in Meter) - Diameter of Cylinder Bore is the internal surface diameter of an engine cylinder.
Outer Diameter of Piston Pin - (Measured in Meter) - Outer diameter of piston pin is the diameter of the outer surface of a piston pin.
Inner Diameter of Piston Pin - (Measured in Meter) - Inner diameter of piston pin is the diameter of the inside surface of a piston pin.

STEP 1: Convert Input(s) to Base Unit

Force on Piston: 144 Kilonewton --> 144000 Newton (Check conversion here)
Diameter of Cylinder Bore: 180 Millimeter --> 0.18 Meter (Check conversion here)
Outer Diameter of Piston Pin: 55.5 Millimeter --> 0.0555 Meter (Check conversion here)
Inner Diameter of Piston Pin: 33.2 Millimeter --> 0.0332 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_max = 4*F_P*D_i*d_o/(pi*(d_o^4-d_i^4)) --> 4*144000*0.18*0.0555/(pi*(0.0555^4-0.0332^4))

Evaluating ... ...

σ_max = 221398515.622363

STEP 3: Convert Result to Output's Unit

221398515.622363 Pascal -->221.398515622363 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

221.398515622363 ≈ 221.3985 Newton per Square Millimeter <-- Maximum Bending Stress in Piston Pin

(Calculation completed in 00.004 seconds)

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Created by Saurabh Patil

Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore

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< 10+ Piston Pin Calculators

Maximum Bending Stress in Piston Pin

Go Maximum Bending Stress in Piston Pin = 4*Force on Piston*Diameter of Cylinder Bore*Outer Diameter of Piston Pin/(pi*(Outer Diameter of Piston Pin^4-Inner Diameter of Piston Pin^4))

Outer Diameter of Piston Pin

Go Outer Diameter of Piston Pin = pi*Diameter of Cylinder Bore^2*Maximum Gas Pressure inside Cylinder/(4*Bearing Pressure of CrankPin Bush*Length of Piston Pin in Connecting Rod)

Resisting Bearing Force by Piston Pin

Go Resistive Force by Piston Pin = Bearing Pressure of CrankPin Bush*Outer Diameter of Piston Pin*Length of Piston Pin in Connecting Rod

Area Moment of Inertia for Piston Pin Cross Section

Go Area Moment of Inertia = pi*(Outer Diameter of Piston Pin^4-Inner Diameter of Piston Pin^4)/64

Maximum Bending Moment on Piston Pin

Go Bending Moment = Force on Piston*Diameter of Cylinder Bore/8

Length of Piston Pin used in Connecting Rod

Go Length of Piston Pin in Connecting Rod = 0.45*Diameter of Cylinder Bore

Mean Diameter of Piston Bosses for Aluminium Alloy Piston

Go Mean Diameter of Piston Bosses = 1.5*Outer Diameter of Piston Pin

Mean Diameter of Piston Bosses for Grey Cast Iron Piston

Go Mean Diameter of Piston Bosses = 1.4*Outer Diameter of Piston Pin

Outer Diameter of Piston Pin given its Inner Diameter

Go Outer Diameter of Piston Pin = Inner Diameter of Piston Pin/0.6

Inner Diameter of Piston Pin

Go Inner Diameter of Piston Pin = 0.6*Outer Diameter of Piston Pin

Maximum Bending Stress in Piston Pin Formula

Bending Stress

Bending stress is the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued. Bending stress occurs when operating industrial equipment and in concrete and metallic structures when they are subjected to a tensile load.

How to Calculate Maximum Bending Stress in Piston Pin?

Maximum Bending Stress in Piston Pin calculator uses Maximum Bending Stress in Piston Pin = 4*Force 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 calculate 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 calculate Maximum Bending Stress in Piston Pin using this online calculator? To use this online calculator for Maximum Bending Stress in Piston Pin, enter Force 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. Here is how the Maximum Bending Stress in Piston Pin calculation can be explained with given input values -> 0.000221 = 4*144000*0.18*0.0555/(pi*(0.0555^4-0.0332^4)).

FAQ

What is 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 and is represented as σ_max = 4*F_P*D_i*d_o/(pi*(d_o^4-d_i^4)) or Maximum Bending Stress in Piston Pin = 4*Force on Piston*Diameter of Cylinder Bore*Outer Diameter of Piston Pin/(pi*(Outer Diameter of Piston Pin^4-Inner Diameter of Piston Pin^4)). Force on Piston is the force due to the combustion of gases onto the top of a piston head, Diameter of Cylinder Bore is the internal surface diameter of an engine cylinder, Outer diameter of piston pin is the diameter of the outer surface of a piston pin & Inner diameter of piston pin is the diameter of the inside surface of a piston pin.

How to calculate 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 is calculated using Maximum Bending Stress in Piston Pin = 4*Force 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 calculate Maximum Bending Stress in Piston Pin, you need Force on Piston (F_P), Diameter of Cylinder Bore (D_i), Outer Diameter of Piston Pin (d_o) & Inner Diameter of Piston Pin (d_i). With our tool, you need to enter the respective value for Force on Piston, Diameter of Cylinder Bore, Outer Diameter of Piston Pin & Inner Diameter of Piston Pin and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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