Resultant Bending Moment in crank pin of side crankshaft at max torque given 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.ⓘ Resultant Bending Moment in crank pin of side crankshaft at max torque given crankpin diameter [M_bpin]

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Formula

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Resultant Bending Moment in crank pin of side crankshaft at max torque given 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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Resultant Bending Moment in crank pin of side crankshaft at max torque given 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 00.012 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Crankshaft » Design of Side Crankshaft » Design of Crank Pin at Angle of Maximum Torque » Resultant Bending Moment in crank pin of side crankshaft at max torque given crankpin diameter

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Created by Saurabh Patil

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

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< 4 Design of Crank Pin at Angle of Maximum Torque Calculators

Resultant Bending Moment in crank pin of side crankshaft at max torque

Go Bending Moment at Central Plane of Crankpin = sqrt((Horizontal Bending Moment in Crankpin^2)+(Vertical Bending Moment in Crankpin^2))

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

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

Bending Moment in horizontal plane of crank pin of side crankshaft at max torque

Go Horizontal Bending Moment in Crankpin = (0.75)*(Length of Crank Pin*Tangential Force at Crank Pin)

Bending Moment in vertical plane of crank pin of side crankshaft at max torque

Go Vertical Bending Moment in Crankpin = (0.75)*(Length of Crank Pin*Radial Force at Crank Pin)

Resultant Bending Moment in crank pin of side crankshaft at max torque given 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

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How to Calculate Resultant Bending Moment in crank pin of side crankshaft at max torque given crankpin diameter?

Resultant Bending Moment in crank pin of side crankshaft at max torque given 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, The Resultant Bending Moment in crank pin of side crankshaft at max torque given crankpin diameter is the amount of Bending moment (horizontal and vertical plane) at the crankpin of the side crankshaft causing it to bend, designed for when the crank is at the max torque position and subjected to maximum torsional moment. Bending Moment at Central Plane of Crankpin is denoted by M_bpin symbol.

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

FAQ

What is Resultant Bending Moment in crank pin of side crankshaft at max torque given crankpin diameter?

The Resultant Bending Moment in crank pin of side crankshaft at max torque given crankpin diameter is the amount of Bending moment (horizontal and vertical plane) at the crankpin of the side crankshaft causing it to bend, designed for when the crank is at the max torque position and subjected to maximum torsional moment 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 Resultant Bending Moment in crank pin of side crankshaft at max torque given crankpin diameter?

The Resultant Bending Moment in crank pin of side crankshaft at max torque given crankpin diameter is the amount of Bending moment (horizontal and vertical plane) at the crankpin of the side crankshaft causing it to bend, designed for when the crank is at the max torque position and subjected to maximum torsional moment is calculated using Bending Moment at Central Plane of Crankpin = (pi*(Diameter of Crank Pin^3)*Bending Stress in Crankpin)/32. To calculate Resultant Bending Moment in crank pin of side crankshaft at max torque given 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 1 other way(s) to calculate the same, which is/are as follows -

Bending Moment at Central Plane of Crankpin = sqrt((Horizontal Bending Moment in Crankpin^2)+(Vertical Bending Moment in Crankpin^2))

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