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Diameter of side-crankshaft at juncture of crankweb for max torque given moments Formula

GoDiameter of side crankshaft at juncture of crankweb for max torque Formula

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Diameter of Crankshaft at Crank-web Joint is the distance measured through the center of the crankshaft around it's circumference at the juncture of crank web and crankshaft. Check FAQs

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

d - Diameter of Crankshaft at Crank-web Joint?τ - Shear Stress in Shaft at Crank-web Joint?M_b - Resultant Bending Moment at Crank-web Joint?M_t - Torsional Moment at Crank-web Joint?π - Archimedes' constant?

Diameter of side-crankshaft at juncture of crankweb for max torque given moments Example

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Here is how the Diameter of side-crankshaft at juncture of crankweb for max torque given moments equation looks like with Values.

Here is how the Diameter of side-crankshaft at juncture of crankweb for max torque given moments equation looks like with Units.

Here is how the Diameter of side-crankshaft at juncture of crankweb for max torque given moments equation looks like.

30.4493 = {(\frac{16}{3.1416 \cdot 57.382} \cdot \sqrt{{318.0243}^{2} + 6^{2}})}^{\frac{1}{3}}

30.4493mm = {(\frac{16}{3.1416 \cdot 57.382N/mm²} \cdot \sqrt{{318.0243N*m}^{2} + {6N*m}^{2}})}^{\frac{1}{3}}

30.4493 = {(\frac{16}{3.1416 \cdot 57.382} \cdot \sqrt{{318.0243}^{2} + 6^{2}})}^{\frac{1}{3}}

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Diameter of side-crankshaft at juncture of crankweb for max torque given moments Solution

Follow our step by step solution on how to calculate Diameter of side-crankshaft at juncture of crankweb for max torque given moments?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = {(\frac{16}{π \cdot 57.382N/mm²} \cdot \sqrt{{318.0243N*m}^{2} + {6N*m}^{2}})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

d = {(\frac{16}{3.1416 \cdot 57.382N/mm²} \cdot \sqrt{{318.0243N*m}^{2} + {6N*m}^{2}})}^{\frac{1}{3}}

Next Step Convert Units

∴

d = {(\frac{16}{3.1416 \cdot 5.7E+7Pa} \cdot \sqrt{{318.0243N*m}^{2} + {6N*m}^{2}})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

d = {(\frac{16}{3.1416 \cdot 5.7E+7} \cdot \sqrt{{318.0243}^{2} + 6^{2}})}^{\frac{1}{3}}

Next Step Evaluate

∴

d = 0.0304493017183009m

Next Step Convert to Output's Unit

∴

d = 30.4493017183009mm

LAST Step Rounding Answer

∴

d = 30.4493mm

Diameter of side-crankshaft at juncture of crankweb for max torque given moments Formula Elements

Variables

Constants

Functions

Diameter of Crankshaft at Crank-web Joint

Diameter of Crankshaft at Crank-web Joint is the distance measured through the center of the crankshaft around it's circumference at the juncture of crank web and crankshaft.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Crankshaft at Crank-web Joint

Shear Stress in Shaft at Crank-web Joint

Shear Stress in Shaft at Crank-web Joint is the amount of shear force applied throughout the cross-sectional area of crankshaft near the juncture of crank-web, due to the applied bending moment.

Symbol: τ

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Shaft at Crank-web Joint

Resultant Bending Moment at Crank-web Joint

Resultant Bending Moment at Crank-web Joint is the net internal distribution of force induced at juncture of crank-web and crankshaft due to tangential and radial force on crankpin.

Symbol: M_b

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Resultant Bending Moment at Crank-web Joint

Torsional Moment at Crank-web Joint

Torsional Moment at Crank-web Joint refers to the twisting force acting at the point on the circumference where the crank-web meets the crankshaft, due to the forces acting on the crankpin.

Symbol: M_t

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torsional Moment at Crank-web Joint

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 Crankshaft at Crank-web Joint

Go Diameter of side crankshaft at juncture of crankweb for max torque

d = {(\frac{16}{π \cdot τ} \cdot \sqrt{{M h}^{2} + {M v}^{2} + {(P t \cdot r)}^{2}})}^{\frac{1}{3}}

Other formulas in Design of Shaft at Juncture of Crank Web at Angle of Maximum Torque category

Go Bending moment in vertical plane of side-crankshaft at juncture of crankweb for max torque

M v = P r \cdot (0.75 \cdot l c + t)

Go Bending moment in horizontal plane of side-crankshaft at juncture of crankweb for max torque

M h = P t \cdot (0.75 \cdot l c + t)

Go Torsional moment in side-crankshaft at juncture of crankweb for max torque

M t = P t \cdot r

Go Resultant bending moment in side crankshaft at juncture of crankweb for max torque given moments

M b = \sqrt{{M h}^{2} + {M v}^{2}}

How to Evaluate Diameter of side-crankshaft at juncture of crankweb for max torque given moments?

Diameter of side-crankshaft at juncture of crankweb for max torque given moments evaluator uses Diameter of Crankshaft at Crank-web Joint = (16/(pi*Shear Stress in Shaft at Crank-web Joint)*sqrt(Resultant Bending Moment at Crank-web Joint^2+Torsional Moment at Crank-web Joint^2))^(1/3) to evaluate the Diameter of Crankshaft at Crank-web Joint, Diameter of side-crankshaft at juncture of crankweb for max torque given moments is the distance measured through the center of the crankshaft around it's circumference at the juncture of crank-web and crankshaft. Determining the shaft diameter considering maximum torque applied on the shaft and bending moments produced at the juncture of crank-web and crankshaft due to the engine forces is crucial for designing perspective to avoid yielding or fatigue failure. Diameter of Crankshaft at Crank-web Joint is denoted by d symbol.

How to evaluate Diameter of side-crankshaft at juncture of crankweb for max torque given moments using this online evaluator? To use this online evaluator for Diameter of side-crankshaft at juncture of crankweb for max torque given moments, enter Shear Stress in Shaft at Crank-web Joint (τ), Resultant Bending Moment at Crank-web Joint (M_b) & Torsional Moment at Crank-web Joint (M_t) and hit the calculate button.

FAQs on Diameter of side-crankshaft at juncture of crankweb for max torque given moments

What is the formula to find Diameter of side-crankshaft at juncture of crankweb for max torque given moments?

The formula of Diameter of side-crankshaft at juncture of crankweb for max torque given moments is expressed as Diameter of Crankshaft at Crank-web Joint = (16/(pi*Shear Stress in Shaft at Crank-web Joint)*sqrt(Resultant Bending Moment at Crank-web Joint^2+Torsional Moment at Crank-web Joint^2))^(1/3). Here is an example- 30449.3 = (16/(pi*57382000)*sqrt(318.0243^2+6^2))^(1/3).

How to calculate Diameter of side-crankshaft at juncture of crankweb for max torque given moments?

With Shear Stress in Shaft at Crank-web Joint (τ), Resultant Bending Moment at Crank-web Joint (M_b) & Torsional Moment at Crank-web Joint (M_t) we can find Diameter of side-crankshaft at juncture of crankweb for max torque given moments using the formula - Diameter of Crankshaft at Crank-web Joint = (16/(pi*Shear Stress in Shaft at Crank-web Joint)*sqrt(Resultant Bending Moment at Crank-web Joint^2+Torsional Moment at Crank-web Joint^2))^(1/3). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Diameter of Crankshaft at Crank-web Joint?

Here are the different ways to Calculate Diameter of Crankshaft at Crank-web Joint-

Diameter of Crankshaft at Crank-web Joint=(16/(pi*Shear Stress in Shaft at Crank-web Joint)*sqrt(Horizontal Bending Moment at Crank-web Joint^2+Vertical Bending Moment at Crank-web Joint^2+(Tangential Force at Crankpin*Distance Between Crank Pin and Crankshaft)^2))^(1/3)

Can the Diameter of side-crankshaft at juncture of crankweb for max torque given moments be negative?

No, the Diameter of side-crankshaft at juncture of crankweb for max torque given moments, measured in Length cannot be negative.

Which unit is used to measure Diameter of side-crankshaft at juncture of crankweb for max torque given moments?

Diameter of side-crankshaft at juncture of crankweb for max torque given moments is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of side-crankshaft at juncture of crankweb for max torque given moments can be measured.

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Diameter of side-crankshaft at juncture of crankweb for max torque given moments Formula

​GoDiameter of side crankshaft at juncture of crankweb for max torque Formula

Diameter of side-crankshaft at juncture of crankweb for max torque given moments Example

Diameter of side-crankshaft at juncture of crankweb for max torque given moments Solution

Diameter of side-crankshaft at juncture of crankweb for max torque given moments Formula Elements

Other Formulas to find Diameter of Crankshaft at Crank-web Joint

Other formulas in Design of Shaft at Juncture of Crank Web at Angle of Maximum Torque category

How to Evaluate Diameter of side-crankshaft at juncture of crankweb for max torque given moments?

FAQs on Diameter of side-crankshaft at juncture of crankweb for max torque given moments

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GoDiameter of side crankshaft at juncture of crankweb for max torque Formula