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Diameter of crank pin of centre crankshaft for max torque Formula

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

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Diameter of crank pin is the diameter of the crank pin used in connecting the connecting rod with the crank. Check FAQs

d c = {((\frac{16}{π \cdot τ}) \cdot \sqrt{{(R v1 \cdot b 1)}^{2} + {(R h1 \cdot r)}^{2}})}^{\frac{1}{3}}

d_c - Diameter of Crank Pin?τ - Shear Stress in Central Plane of Crank Pin?R_v1 - Vertical Reaction at Bearing 1 due to Radial Force?b₁ - Centre Crankshaft Bearing1 Gap from CrankPinCentre?R_h1 - Horizontal Force at Bearing1 by Tangential Force?r - Distance Between Crankpin and Crankshaft?π - Archimedes' constant?

Diameter of crank pin of centre crankshaft for max torque Example

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Here is how the Diameter of crank pin of centre crankshaft for max torque equation looks like with Values.

Here is how the Diameter of crank pin of centre crankshaft for max torque equation looks like with Units.

Here is how the Diameter of crank pin of centre crankshaft for max torque equation looks like.

50.0644 = {((\frac{16}{3.1416 \cdot 19.9}) \cdot \sqrt{{(1000 \cdot 100.01)}^{2} + {(6000 \cdot 80)}^{2}})}^{\frac{1}{3}}

50.0644mm = {((\frac{16}{3.1416 \cdot 19.9N/mm²}) \cdot \sqrt{{(1000N \cdot 100.01mm)}^{2} + {(6000N \cdot 80mm)}^{2}})}^{\frac{1}{3}}

50.0644 = {((\frac{16}{3.1416 \cdot 19.9}) \cdot \sqrt{{(1000 \cdot 100.01)}^{2} + {(6000 \cdot 80)}^{2}})}^{\frac{1}{3}}

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Diameter of crank pin of centre crankshaft for max torque Solution

Follow our step by step solution on how to calculate Diameter of crank pin of centre crankshaft for max torque?

FIRST Step Consider the formula

d c = {((\frac{16}{π \cdot τ}) \cdot \sqrt{{(R v1 \cdot b 1)}^{2} + {(R h1 \cdot r)}^{2}})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

d c = {((\frac{16}{π \cdot 19.9N/mm²}) \cdot \sqrt{{(1000N \cdot 100.01mm)}^{2} + {(6000N \cdot 80mm)}^{2}})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

d c = {((\frac{16}{3.1416 \cdot 19.9N/mm²}) \cdot \sqrt{{(1000N \cdot 100.01mm)}^{2} + {(6000N \cdot 80mm)}^{2}})}^{\frac{1}{3}}

Next Step Convert Units

∴

d c = {((\frac{16}{3.1416 \cdot 2E+7Pa}) \cdot \sqrt{{(1000N \cdot 0.1m)}^{2} + {(6000N \cdot 0.08m)}^{2}})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

d c = {((\frac{16}{3.1416 \cdot 2E+7}) \cdot \sqrt{{(1000 \cdot 0.1)}^{2} + {(6000 \cdot 0.08)}^{2}})}^{\frac{1}{3}}

Next Step Evaluate

∴

d c = 0.050064362524892m

Next Step Convert to Output's Unit

∴

d c = 50.064362524892mm

LAST Step Rounding Answer

∴

d c = 50.0644mm

Diameter of crank pin of centre crankshaft for max torque Formula Elements

Variables

Constants

Functions

Diameter of Crank Pin

Diameter of crank pin is the diameter of the crank pin used in connecting the connecting rod with the crank.

Symbol: d_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Crank Pin

Shear Stress in Central Plane of Crank Pin

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.

Symbol: τ

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Central Plane of Crank Pin

Vertical Reaction at Bearing 1 due to Radial Force

Vertical Reaction at Bearing 1 due to Radial Force is the vertical reaction force on the 1st bearing of the crankshaft because of the radial component of thrust force acting on connecting rod.

Symbol: R_v1

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Vertical Reaction at Bearing 1 due to Radial Force

Centre Crankshaft Bearing1 Gap from CrankPinCentre

Centre Crankshaft Bearing1 Gap from CrankPinCentre is the distance between the 1st bearing of a centre crankshaft and the line of action of force on the crank pin.

Symbol: b₁

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Centre Crankshaft Bearing1 Gap from CrankPinCentre

Horizontal Force at Bearing1 by Tangential Force

Horizontal Force at Bearing1 by Tangential Force is the horizontal reaction force on the 1st bearing of crankshaft because of the tangential component of thrust force acting on connecting rod.

Symbol: R_h1

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Horizontal Force at Bearing1 by Tangential Force

Distance Between Crankpin and Crankshaft

Distance between crankpin and crankshaft is the perpendicular distance between the crank pin and the crankshaft.

Symbol: r

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance Between Crankpin and Crankshaft

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other Formulas to find Diameter of Crank Pin

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

d c = {(\frac{16}{π \cdot τ} \cdot \sqrt{({M b}^{2}) + ({M t}^{2})})}^{\frac{1}{3}}

Other formulas in Design of Crank Pin at Angle of Maximum Torque category

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

M t = R h1 \cdot r

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

M b = R v1 \cdot b 1

Go Shear stress in crankpin of centre crankshaft for max torque given bending and torsional moment

τ = \frac{16}{π \cdot {d c}^{3}} \cdot \sqrt{({M b}^{2}) + ({M t}^{2})}

Go Shear stress in crankpin of centre crankshaft for max torque

τ = (\frac{16}{π \cdot {d c}^{3}}) \cdot \sqrt{{(R v1 \cdot b 1)}^{2} + {(R h1 \cdot r)}^{2}}

How to Evaluate Diameter of crank pin of centre crankshaft for max torque?

Diameter of crank pin of centre crankshaft for max torque evaluator uses 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) to evaluate the Diameter of Crank Pin, The Diameter of crank pin of centre crankshaft for max torque is the diameter of the crank pin used in the assembly of connecting rod with the crank, when the centre crankshaft is designed for the maximum torsional moment. Diameter of Crank Pin is denoted by d_c symbol.

How to evaluate Diameter of crank pin of centre crankshaft for max torque using this online evaluator? To use this online evaluator for Diameter of crank pin of centre crankshaft for max torque, enter Shear Stress in Central Plane of Crank Pin (τ), Vertical Reaction at Bearing 1 due to Radial Force (R_v1), Centre Crankshaft Bearing1 Gap from CrankPinCentre (b₁), Horizontal Force at Bearing1 by Tangential Force (R_h1) & Distance Between Crankpin and Crankshaft (r) and hit the calculate button.

FAQs on Diameter of crank pin of centre crankshaft for max torque

What is the formula to find Diameter of crank pin of centre crankshaft for max torque?

The formula of Diameter of crank pin of centre crankshaft for max torque is expressed as 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). Here is an example- 50064.29 = ((16/(pi*19900000))*sqrt((1000*0.10001)^2+(6000*0.08)^2))^(1/3).

How to calculate Diameter of crank pin of centre crankshaft for max torque?

With Shear Stress in Central Plane of Crank Pin (τ), Vertical Reaction at Bearing 1 due to Radial Force (R_v1), Centre Crankshaft Bearing1 Gap from CrankPinCentre (b₁), Horizontal Force at Bearing1 by Tangential Force (R_h1) & Distance Between Crankpin and Crankshaft (r) we can find Diameter of crank pin of centre crankshaft for max torque using the formula - 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). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Diameter of Crank Pin?

Here are the different ways to Calculate Diameter of Crank Pin-

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)

Can the Diameter of crank pin of centre crankshaft for max torque be negative?

No, the Diameter of crank pin of centre crankshaft for max torque, measured in Length cannot be negative.

Which unit is used to measure Diameter of crank pin of centre crankshaft for max torque?

Diameter of crank pin of centre crankshaft for max torque is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of crank pin of centre crankshaft for max torque can be measured.

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Diameter of crank pin of centre crankshaft for max torque Formula

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

Diameter of crank pin of centre crankshaft for max torque Example

Diameter of crank pin of centre crankshaft for max torque Solution

Diameter of crank pin of centre crankshaft for max torque Formula Elements

Other Formulas to find Diameter of Crank Pin

Other formulas in Design of Crank Pin at Angle of Maximum Torque category

How to Evaluate Diameter of crank pin of centre crankshaft for max torque?

FAQs on Diameter of crank pin of centre crankshaft for max torque

Variable Name

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