Diameter of crankpin given mean bending stress in crankpin 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 crankpin given mean bending stress in crankpin [d_cp]

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Formula

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Diameter of crankpin given mean bending stress in crankpin

Formula

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

Example

`"37.70644mm"=((32*"100000N*mm")/(pi*"19N/mm²"))^(1/3)`

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Diameter of crankpin given mean bending stress in crankpin 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: 100000 Newton Millimeter --> 100 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*100)/(pi*19000000))^(1/3)

Evaluating ... ...

d_cp = 0.0377064374399102

STEP 3: Convert Result to Output's Unit

0.0377064374399102 Meter -->37.7064374399102 Millimeter (Check conversion here)

FINAL ANSWER

37.7064374399102 ≈ 37.70644 Millimeter <-- Diameter of Crank Pin

(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 » Diameter of crankpin given mean bending stress in crankpin

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Created by Saurabh Patil

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

Diameter of crankpin given mean bending stress in crankpin 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)

Connecting Rod

The main function of a connecting rod is to form a link between a piston and crankshaft. A small end of the connecting rod is connected to the piston with a gudgeon pin and the big end is separated into two parts for ease of assembly with a crankpin. The two parts of the big end are the bearing cap and big end housing. Both are being bolted together. This is done for ease of assembly of connecting rod with a crankpin. To supply oil to the big end, the oil hole is drilled from the big end.

Crankpin Material

Crankpins are generally made of carbon steel, forged steel, and alloy steel. It also improves the strength of the component. The surface of the crankpin is hardened by case carburizing, nitriding, or induction hardening.

How to Calculate Diameter of crankpin given mean bending stress in crankpin?

Diameter of crankpin given mean bending stress in crankpin 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 crankpin given mean bending stress in crankpin is the diameter of the crankpin of the crank and connecting rod assembly. Diameter of Crank Pin is denoted by d_cp symbol.

How to calculate Diameter of crankpin given mean bending stress in crankpin using this online calculator? To use this online calculator for Diameter of crankpin given mean bending stress in crankpin, 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 crankpin given mean bending stress in crankpin calculation can be explained with given input values -> 37706.44 = ((32*100)/(pi*19000000))^(1/3).

FAQ

What is Diameter of crankpin given mean bending stress in crankpin?

Diameter of crankpin given mean bending stress in crankpin is the diameter of the crankpin of the crank and connecting rod assembly 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 crankpin given mean bending stress in crankpin?

Diameter of crankpin given mean bending stress in crankpin is the diameter of the crankpin of the crank and connecting rod assembly 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 crankpin given mean bending stress in crankpin, 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.

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