Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment Calculator

✖Shear stress in central plane of crank pin is the amount of shear stress (causes deformation by slippage along plane parallel to the imposed stress) at the central plane of the crank pin.ⓘ Shear Stress in Central Plane of Crank Pin [τ]			+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.ⓘ Bending Moment at Central Plane of Crankpin [M_b]			+10% -10%
✖Torsional Moment at central plane of crankpin is the torsional reaction induced in the central plane of the crankpin when an external twisting force is applied to the crankpin causing it to twist.ⓘ Torsional Moment at central plane of crankpin [M_t]			+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 for max torque given bending and torsional moment [d_c]

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Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Crank Pin = (16/(pi*Shear Stress in Central Plane of Crank Pin)*sqrt((Bending Moment at Central Plane of Crankpin^2)+(Torsional Moment at central plane of crankpin^2)))^(1/3)
d_c = (16/(pi*τ)*sqrt((M_b^2)+(M_t^2)))^(1/3)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
Shear Stress in Central Plane of Crank Pin - (Measured in Pascal) - Shear stress in central plane of crank pin is the amount of shear stress (causes deformation by slippage along plane parallel to the imposed stress) at the central plane of the crank pin.
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.
Torsional Moment at central plane of crankpin - (Measured in Newton Meter) - Torsional Moment at central plane of crankpin is the torsional reaction induced in the central plane of the crankpin when an external twisting force is applied to the crankpin causing it to twist.

STEP 1: Convert Input(s) to Base Unit

Shear Stress in Central Plane of Crank Pin: 19.9 Newton per Square Millimeter --> 19900000 Pascal (Check conversion here)
Bending Moment at Central Plane of Crankpin: 100 Newton Meter --> 100 Newton Meter No Conversion Required
Torsional Moment at central plane of crankpin: 480 Newton Meter --> 480 Newton Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_c = (16/(pi*τ)*sqrt((M_b^2)+(M_t^2)))^(1/3) --> (16/(pi*19900000)*sqrt((100^2)+(480^2)))^(1/3)

Evaluating ... ...

d_c = 0.0500642931036181

STEP 3: Convert Result to Output's Unit

0.0500642931036181 Meter -->50.0642931036181 Millimeter (Check conversion here)

FINAL ANSWER

50.0642931036181 ≈ 50.06429 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 » Mechanical » Design of Crank Pin at Angle of Maximum Torque » Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment

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< Design of Crank Pin at Angle of Maximum Torque Calculators

Diameter of crank pin of centre crankshaft for max torque

LaTeX Go Diameter of Crank Pin = ((16/(pi*Shear Stress in Central Plane of Crank Pin))*sqrt((Vertical Reaction at Bearing 1 due to Radial Force*Centre Crankshaft Bearing1 Gap from CrankPinCentre)^2+(Horizontal Force at Bearing1 by Tangential Force*Distance Between Crankpin and Crankshaft)^2))^(1/3)

Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment

LaTeX Go Diameter of Crank Pin = (16/(pi*Shear Stress in Central Plane of Crank Pin)*sqrt((Bending Moment at Central Plane of Crankpin^2)+(Torsional Moment at central plane of crankpin^2)))^(1/3)

Bending moment at central plane of crank pin of centre crankshaft at max torque

LaTeX Go Bending Moment at Central Plane of Crankpin = Vertical Reaction at Bearing 1 due to Radial Force*Centre Crankshaft Bearing1 Gap from CrankPinCentre

Torsional moment at central plane of crank pin of centre crankshaft at max torque

LaTeX Go Torsional Moment at central plane of crankpin = Horizontal Force at Bearing1 by Tangential Force*Distance Between Crankpin and Crankshaft

Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment Formula

LaTeX Go

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.

Crank Pin for Different Engines

In a single-cylinder engine, straight engine, or flat engine, each crankpin normally serves just one cylinder. This results in a relatively simple design and it is the cheapest to produce. Most V engines have each pair of cylinders sharing a crankpin. This usually requires an offset between the cylinders in each bank, resulting in a simple connecting rod design. If a cylinder offset is not used, then the connecting rods must be articulated or forked at the big end. Forked connecting rods are mainly used in V-twin motorcycle engines, but in the past were found on a number of automobile and aero engines, such as the Rolls-Royce Merlin aero engine of the WWII era. Radial engines use a more complicated version of articulated connecting rods, where a single "master" connecting rod is attached to the single crankpin (one for each row in multi-row designs), and smaller bearings for each of the corresponding cylinders machined into the big end of the master rod.

How to Calculate Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment?

Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment calculator uses Diameter of Crank Pin = (16/(pi*Shear Stress in Central Plane of Crank Pin)*sqrt((Bending Moment at Central Plane of Crankpin^2)+(Torsional Moment at central plane of crankpin^2)))^(1/3) to calculate the Diameter of Crank Pin, The Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment is the diameter of the crank pin used in the assembly of connecting rod with the crank, when the centre crankshaft is designed for maximum torsional moment. Diameter of Crank Pin is denoted by d_c symbol.

How to calculate Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment using this online calculator? To use this online calculator for Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment, enter Shear Stress in Central Plane of Crank Pin (τ), Bending Moment at Central Plane of Crankpin (M_b) & Torsional Moment at central plane of crankpin (M_t) and hit the calculate button. Here is how the Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment calculation can be explained with given input values -> 50064.29 = (16/(pi*19900000)*sqrt((100^2)+(480^2)))^(1/3).

FAQ

What is Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment?

The Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment is the diameter of the crank pin used in the assembly of connecting rod with the crank, when the centre crankshaft is designed for maximum torsional moment and is represented as d_c = (16/(pi*τ)*sqrt((M_b^2)+(M_t^2)))^(1/3) or Diameter of Crank Pin = (16/(pi*Shear Stress in Central Plane of Crank Pin)*sqrt((Bending Moment at Central Plane of Crankpin^2)+(Torsional Moment at central plane of crankpin^2)))^(1/3). Shear stress in central plane of crank pin is the amount of shear stress (causes deformation by slippage along plane parallel to the imposed stress) at the central plane of the crank pin, 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 & Torsional Moment at central plane of crankpin is the torsional reaction induced in the central plane of the crankpin when an external twisting force is applied to the crankpin causing it to twist.

How to calculate Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment?

The Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment is the diameter of the crank pin used in the assembly of connecting rod with the crank, when the centre crankshaft is designed for maximum torsional moment is calculated using Diameter of Crank Pin = (16/(pi*Shear Stress in Central Plane of Crank Pin)*sqrt((Bending Moment at Central Plane of Crankpin^2)+(Torsional Moment at central plane of crankpin^2)))^(1/3). To calculate Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment, you need Shear Stress in Central Plane of Crank Pin (τ), Bending Moment at Central Plane of Crankpin (M_b) & Torsional Moment at central plane of crankpin (M_t). With our tool, you need to enter the respective value for Shear Stress in Central Plane of Crank Pin, Bending Moment at Central Plane of Crankpin & Torsional Moment at central plane of 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 Shear Stress in Central Plane of Crank Pin, Bending Moment at Central Plane of Crankpin & Torsional Moment at central plane of crankpin. We can use 1 other way(s) to calculate the same, which is/are as follows -

Diameter of Crank Pin = ((16/(pi*Shear Stress in Central Plane of Crank Pin))*sqrt((Vertical Reaction at Bearing 1 due to Radial Force*Centre Crankshaft Bearing1 Gap from CrankPinCentre)^2+(Horizontal Force at Bearing1 by Tangential Force*Distance Between Crankpin and Crankshaft)^2))^(1/3)

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