Diameter of crank pin of centre crankshaft at TDC position given bending stress and bending moment Calculator

✖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.ⓘ Bending Moment at Central Plane of Crankpin [M_bpin]			+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%

✖Diameter of crank pin is the diameter of the crank pin used in connecting the connecting rod with the crank.ⓘ Diameter of crank pin of centre crankshaft at TDC position given bending stress and bending moment [d_cp]

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Formula

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Diameter of crank pin of centre crankshaft at TDC position given bending stress and bending moment

Formula

`"d"_{"cp"} = ((32*("M"_{"b"}"pin"))/(pi*("σ"_{"b"}"pin")))^(1/3)`

Example

`"48mm"=((32*"206289.5N*mm")/(pi*"19N/mm²"))^(1/3)`

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Diameter of crank pin of centre crankshaft at TDC position given bending stress and bending moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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 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.
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

Bending Moment at Central Plane of Crankpin: 206289.5 Newton Millimeter --> 206.2895 Newton 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

d_cp = ((32*M_bpin)/(pi*σ_bpin))^(1/3) --> ((32*206.2895)/(pi*19000000))^(1/3)

Evaluating ... ...

d_cp = 0.0479999968971516

STEP 3: Convert Result to Output's Unit

0.0479999968971516 Meter -->47.9999968971516 Millimeter (Check conversion here)

FINAL ANSWER

47.9999968971516 ≈ 48 Millimeter <-- Diameter of Crank Pin

(Calculation completed in 00.004 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Crankshaft » Design of Centre Crankshaft » Design of Crank Pin at Top Dead Centre Position » Diameter of crank pin of centre crankshaft at TDC position given bending stress and bending moment

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< 9 Design of Crank Pin at Top Dead Centre Position Calculators

Diameter of crank pin of centre crankshaft at TDC position given bending stress and bending moment

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

Bending Moment at centre plane of crank pin of centre crankshaft at TDC position

Go Bending Moment at Central Plane of Crankpin = Vertical Reaction at Bearing Due to Crankpin*Centre Crankshaft Bearing Gap from CrankPinCentre

Bending stress in crank pin of centre crankshaft at TDC position given diameter of crank pin

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

Bending Moment at centre plane of crankpin of centre crankshaft at TDC position given bending stress

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

Diameter of crank pin of centre crankshaft at TDC position given allowable bearing pressure

Go Diameter of Crank Pin = (Force on Crank Pin)/(Bearing Pressure in Crank Pin*Length of Crank Pin)

Length of crank pin of centre crankshaft at TDC position given allowable bearing pressure

Go Length of Crank Pin = (Force on Crank Pin)/(Diameter of Crank Pin*Bearing Pressure in Crank Pin)

Force on crank pin given crank pin length, diameter and bearing pressure

Go Force on Crank Pin = Bearing Pressure in Crank Pin*Diameter of Crank Pin*Length of Crank Pin

Diameter of crank pin of centre crankshaft at TDC position given thickness of crank web

Go Diameter of Crank Pin = Thickness of Crank Web/0.7

Diameter of crank pin of centre crankshaft at TDC position given width of crank web

Go Diameter of Crank Pin = Width of Crank Web/1.14

Diameter of crank pin of centre crankshaft at TDC position given bending stress and bending moment Formula

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

What is Crankpin and its uses?

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.

What is Crankshaft?

A Crankshaft is a shaft driven by a crank mechanism, consisting of a series of cranks and crankpins to which the connecting rods of an engine are attached. It is a mechanical part able to perform a conversion between reciprocating motion and rotational motion. In a reciprocating engine, it translates the reciprocating motion of the piston into rotational motion, whereas in a reciprocating compressor, it converts the rotational motion into reciprocating motion.

How to Calculate Diameter of crank pin of centre crankshaft at TDC position given bending stress and bending moment?

Diameter of crank pin of centre crankshaft at TDC position given bending stress and bending moment calculator uses Diameter of Crank Pin = ((32*Bending Moment at Central Plane of Crankpin)/(pi*Bending Stress in Crankpin))^(1/3) to calculate the Diameter of Crank Pin, Diameter of crank pin of centre crankshaft at TDC position given bending stress and bending moment is the external diameter of the crankpin of the center crankshaft at TDC position used in connecting the connecting rod with the crank, designed for when the crank is at the top dead center position and subjected to maximum bending moment and no torsional moment. Diameter of Crank Pin is denoted by d_cp symbol.

How to calculate Diameter of crank pin of centre crankshaft at TDC position given bending stress and bending moment using this online calculator? To use this online calculator for Diameter of crank pin of centre crankshaft at TDC position given bending stress and bending moment, enter Bending Moment at Central Plane of Crankpin (M_bpin) & Bending Stress in Crankpin (σ_bpin) and hit the calculate button. Here is how the Diameter of crank pin of centre crankshaft at TDC position given bending stress and bending moment calculation can be explained with given input values -> 1E+6 = ((32*206.2895)/(pi*19000000))^(1/3).

FAQ

What is Diameter of crank pin of centre crankshaft at TDC position given bending stress and bending moment?

Diameter of crank pin of centre crankshaft at TDC position given bending stress and bending moment is the external diameter of the crankpin of the center crankshaft at TDC position used in connecting the connecting rod with the crank, designed for when the crank is at the top dead center position and subjected to maximum bending moment and no torsional moment and is represented as d_cp = ((32*M_bpin)/(pi*σ_bpin))^(1/3) or Diameter of Crank Pin = ((32*Bending Moment at Central Plane of Crankpin)/(pi*Bending Stress in Crankpin))^(1/3). 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 & 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 Diameter of crank pin of centre crankshaft at TDC position given bending stress and bending moment?

Diameter of crank pin of centre crankshaft at TDC position given bending stress and bending moment is the external diameter of the crankpin of the center crankshaft at TDC position used in connecting the connecting rod with the crank, designed for when the crank is at the top dead center position and subjected to maximum bending moment and no torsional moment is calculated using Diameter of Crank Pin = ((32*Bending Moment at Central Plane of Crankpin)/(pi*Bending Stress in Crankpin))^(1/3). To calculate Diameter of crank pin of centre crankshaft at TDC position given bending stress and bending moment, you need Bending Moment at Central Plane of Crankpin (M_bpin) & Bending Stress in Crankpin (σ_bpin). With our tool, you need to enter the respective value for Bending Moment at Central Plane of Crankpin & 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 Diameter of Crank Pin?

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

Diameter of Crank Pin = (Force on Crank Pin)/(Bearing Pressure in Crank Pin*Length of Crank Pin)
Diameter of Crank Pin = Thickness of Crank Web/0.7
Diameter of Crank Pin = Width of Crank Web/1.14

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