Mean bending moment in crankpin given bending stress and crankpin diameter Calculator

✖Diameter of crank pin is the diameter of the crank pin used in connecting the connecting rod with the crank.ⓘ Diameter of Crank Pin [d_cp]			+10% -10%
✖Bending Stress in Crankpin is the amount of bending stress induced in the crankpin when an external force or moment is applied to the crankpin causing it to bend.ⓘ Bending Stress in Crankpin [σ_bpin]			+10% -10%

✖Bending Moment at central plane of crankpin is the reaction induced in the central plane of the crankpin when an external force or moment is applied to the crankpin causing it to bend.ⓘ Mean bending moment in crankpin given bending stress and crankpin diameter [M_bpin]

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Formula

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Mean bending moment in crankpin given bending stress and crankpin diameter

Formula

`("M"_{"b"}"pin") = (pi*"d"_{"cp"}^3*("σ"_{"b"}"pin"))/32`

Example

`"206289.5N*mm"=(pi*("48mm")^3*"19N/mm²")/32`

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Mean bending moment in crankpin given bending stress and crankpin diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Moment at Central Plane of Crankpin = (pi*Diameter of Crank Pin^3*Bending Stress in Crankpin)/32
M_bpin = (pi*d_cp^3*σ_bpin)/32
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Bending Moment at Central Plane of Crankpin - (Measured in Newton Meter) - Bending Moment at central plane of crankpin is the reaction induced in the central plane of the crankpin when an external force or moment is applied to the crankpin causing it to bend.
Diameter of Crank Pin - (Measured in Meter) - Diameter of crank pin is the diameter of the crank pin used in connecting the connecting rod with the crank.
Bending Stress in Crankpin - (Measured in Pascal) - Bending Stress in Crankpin is the amount of bending stress induced in the crankpin when an external force or moment is applied to the crankpin causing it to bend.

STEP 1: Convert Input(s) to Base Unit

Diameter of Crank Pin: 48 Millimeter --> 0.048 Meter (Check conversion here)
Bending Stress in Crankpin: 19 Newton per Square Millimeter --> 19000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_bpin = (pi*d_cp^3*σ_bpin)/32 --> (pi*0.048^3*19000000)/32

Evaluating ... ...

M_bpin = 206.28954000532

STEP 3: Convert Result to Output's Unit

206.28954000532 Newton Meter -->206289.54000532 Newton Millimeter (Check conversion here)

FINAL ANSWER

206289.54000532 ≈ 206289.5 Newton Millimeter <-- Bending Moment at Central Plane of Crankpin

(Calculation completed in 00.020 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Crankshaft » Design of Side Crankshaft » Design of Crank Pin at Top Dead Centre Position » Mean bending moment in crankpin given bending stress and crankpin diameter

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

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< 11 Design of Crank Pin at Top Dead Centre Position Calculators

Diameter of crankpin given mean bending stress in crankpin

Go Diameter of Crank Pin = ((32*Bending Moment at Central Plane of Crankpin)/(pi*Bending Stress in Crankpin))^(1/3)

Bending stress in crank pin of side crankshaft at max torque given crankpin diameter

Go Bending Stress in Crankpin = (32*Bending Moment at Central Plane of Crankpin)/(pi*Diameter of Crank Pin^3)

Mean bending stress in crankpin given bending moment and crankpin diameter

Go Bending Stress in Crankpin = (32*Bending Moment at Central Plane of Crankpin)/(pi*Diameter of Crank Pin^3)

Mean bending moment in crankpin given bending stress and crankpin diameter

Go Bending Moment at Central Plane of Crankpin = (pi*Diameter of Crank Pin^3*Bending Stress in Crankpin)/32

Maximum bending moment in crankpin when load is uniformly distributed along length as cantilever

Go Bending Moment at Central Plane of Crankpin = (1/2)*(Force on Crank Pin*Length of Crank Pin)

Length of crankpin given mean bending moment in crankpin

Go Length of Crank Pin = (4/3)*(Bending Moment at Central Plane of Crankpin/Force on Crank Pin)

Mean bending moment in crankpin

Go Bending Moment at Central Plane of Crankpin = (3/4)*(Force on Crank Pin*Length of Crank Pin)

Maximum bending moment in crankpin when load acts at end point on crankpin as cantilever beam

Go Bending Moment at Central Plane of Crankpin = (Force on Crank Pin*Length of Crank Pin)

Section modulus of crankpin

Go Section Modulus of Crankpin = (pi*Diameter of Crank Pin^3)/32

Minimum length of crankpin given crankpin diameter

Go Length of Crank Pin = 0.6*Diameter of Crank Pin

Maximum length of crankpin given crankpin diameter

Go Length of Crank Pin = 1.4*Diameter of Crank Pin

Mean bending moment in crankpin given bending stress and crankpin diameter Formula

Bending Moment at Central Plane of Crankpin = (pi*Diameter of Crank Pin^3*Bending Stress in Crankpin)/32
M_bpin = (pi*d_cp^3*σ_bpin)/32

What is a Crankpin?

A Crankpin is a mechanical device in an engine that connects the crankshaft to the connecting rod for each cylinder. It has a cylindrical surface, to allow the crankpin to rotate. The most common configuration is for a crankpin to serve one cylinder.

How to Calculate Mean bending moment in crankpin given bending stress and crankpin diameter?

Mean bending moment in crankpin given bending stress and crankpin diameter calculator uses Bending Moment at Central Plane of Crankpin = (pi*Diameter of Crank Pin^3*Bending Stress in Crankpin)/32 to calculate the Bending Moment at Central Plane of Crankpin, Mean bending moment in crankpin given bending stress and crankpin diameter is the mean or the average bending moment acting onto the crankpin as when the crankpin is considered as a cantilever beam and force acting is from the piston force onto crankpin. Bending Moment at Central Plane of Crankpin is denoted by M_bpin symbol.

How to calculate Mean bending moment in crankpin given bending stress and crankpin diameter using this online calculator? To use this online calculator for Mean bending moment in crankpin given bending stress and crankpin diameter, enter Diameter of Crank Pin (d_cp) & Bending Stress in Crankpin (σ_bpin) and hit the calculate button. Here is how the Mean bending moment in crankpin given bending stress and crankpin diameter calculation can be explained with given input values -> 2.1E+8 = (pi*0.048^3*19000000)/32.

FAQ

What is Mean bending moment in crankpin given bending stress and crankpin diameter?

Mean bending moment in crankpin given bending stress and crankpin diameter is the mean or the average bending moment acting onto the crankpin as when the crankpin is considered as a cantilever beam and force acting is from the piston force onto crankpin and is represented as M_bpin = (pi*d_cp^3*σ_bpin)/32 or Bending Moment at Central Plane of Crankpin = (pi*Diameter of Crank Pin^3*Bending Stress in Crankpin)/32. Diameter of crank pin is the diameter of the crank pin used in connecting the connecting rod with the crank & Bending Stress in Crankpin is the amount of bending stress induced in the crankpin when an external force or moment is applied to the crankpin causing it to bend.

How to calculate Mean bending moment in crankpin given bending stress and crankpin diameter?

Mean bending moment in crankpin given bending stress and crankpin diameter is the mean or the average bending moment acting onto the crankpin as when the crankpin is considered as a cantilever beam and force acting is from the piston force onto crankpin is calculated using Bending Moment at Central Plane of Crankpin = (pi*Diameter of Crank Pin^3*Bending Stress in Crankpin)/32. To calculate Mean bending moment in crankpin given bending stress and crankpin diameter, you need Diameter of Crank Pin (d_cp) & Bending Stress in Crankpin (σ_bpin). With our tool, you need to enter the respective value for Diameter of Crank Pin & Bending Stress in Crankpin and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Bending Moment at Central Plane of Crankpin?

In this formula, Bending Moment at Central Plane of Crankpin uses Diameter of Crank Pin & Bending Stress in Crankpin. We can use 3 other way(s) to calculate the same, which is/are as follows -

Bending Moment at Central Plane of Crankpin = (1/2)*(Force on Crank Pin*Length of Crank Pin)
Bending Moment at Central Plane of Crankpin = (Force on Crank Pin*Length of Crank Pin)
Bending Moment at Central Plane of Crankpin = (3/4)*(Force on Crank Pin*Length of Crank Pin)

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