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Diameter of centre crankshaft at juncture of right crankweb for max torque given moments Formula

GoDiameter of centre crankshaft at juncture of right crankweb for max torque given crankweb moment Formula

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Diameter of Crankshaft at Crankweb Joint is the diameter of the crankshaft at the juncture of the crank web and the crankshaft. Check FAQs

d s1 = {((\frac{16}{π \cdot τ}) \cdot \sqrt{({M b}^{2}) + ({M t}^{2})})}^{\frac{1}{3}}

d_s1 - Diameter of Crankshaft at Crankweb Joint?τ - Shear Stress in Shaft at Crankweb Joint?M_b - Resultant Bending Moment at Crankweb Joint?M_t - Torsional Moment at Crankweb Joint?π - Archimedes' constant?

Diameter of centre crankshaft at juncture of right crankweb for max torque given moments Example

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

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

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

60.0024 = {((\frac{16}{3.1416 \cdot 25.16}) \cdot \sqrt{(854^{2}) + (640^{2})})}^{\frac{1}{3}}

60.0024mm = {((\frac{16}{3.1416 \cdot 25.16N/mm²}) \cdot \sqrt{({854N*m}^{2}) + ({640N*m}^{2})})}^{\frac{1}{3}}

60.0024 = {((\frac{16}{3.1416 \cdot 25.16}) \cdot \sqrt{(854^{2}) + (640^{2})})}^{\frac{1}{3}}

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Diameter of centre crankshaft at juncture of right crankweb for max torque given moments Solution

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

FIRST Step Consider the formula

d s1 = {((\frac{16}{π \cdot τ}) \cdot \sqrt{({M b}^{2}) + ({M t}^{2})})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

d s1 = {((\frac{16}{π \cdot 25.16N/mm²}) \cdot \sqrt{({854N*m}^{2}) + ({640N*m}^{2})})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

d s1 = {((\frac{16}{3.1416 \cdot 25.16N/mm²}) \cdot \sqrt{({854N*m}^{2}) + ({640N*m}^{2})})}^{\frac{1}{3}}

Next Step Convert Units

∴

d s1 = {((\frac{16}{3.1416 \cdot 2.5E+7Pa}) \cdot \sqrt{({854N*m}^{2}) + ({640N*m}^{2})})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

d s1 = {((\frac{16}{3.1416 \cdot 2.5E+7}) \cdot \sqrt{(854^{2}) + (640^{2})})}^{\frac{1}{3}}

Next Step Evaluate

∴

d s1 = 0.0600023748925511m

Next Step Convert to Output's Unit

∴

d s1 = 60.0023748925511mm

LAST Step Rounding Answer

∴

d s1 = 60.0024mm

Diameter of centre crankshaft at juncture of right crankweb for max torque given moments Formula Elements

Variables

Constants

Functions

Diameter of Crankshaft at Crankweb Joint

Diameter of Crankshaft at Crankweb Joint is the diameter of the crankshaft at the juncture of the crank web and the crankshaft.

Symbol: d_s1

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Crankshaft at Crankweb Joint

Shear Stress in Shaft at Crankweb Joint

Shear Stress in Shaft at Crankweb Joint is the amount of shear stress (causes deformation by slip along plane parallel to imposed stress) in the crankshaft at the juncture of crankweb.

Symbol: τ

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Shaft at Crankweb Joint

Resultant Bending Moment at Crankweb Joint

Resultant Bending Moment at Crankweb Joint is the resultant of bending moments in the horizontal & vertical plane of the crankshaft at the juncture of the crank web.

Symbol: M_b

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Resultant Bending Moment at Crankweb Joint

Torsional Moment at Crankweb Joint

Torsional Moment at Crankweb Joint is the torsional moment in the crankshaft at the juncture of crank web and crankshaft.

Symbol: M_t

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torsional Moment at Crankweb 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 Crankweb Joint

Go Diameter of centre crankshaft at juncture of right crankweb for max torque given crankweb moment

d s1 = 2 \cdot ((r) - (\frac{M b t}{P t}))

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

Go Bending moment in horizontal plane of centre crankshaft at juncture of right crankweb for max torque

M bh = R h1 \cdot (b 1 + (\frac{l c}{2}) + (\frac{t}{2})) - P t \cdot ((\frac{l c}{2}) + (\frac{t}{2}))

Go Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque

M bv = (R v1 \cdot (b 1 + (\frac{l c}{2}) + (\frac{t}{2}))) - (P r \cdot ((\frac{l c}{2}) + (\frac{t}{2})))

Go Torsional moment in centre crankshaft at juncture of right crankweb for maximum torque

M t = P t \cdot r

Go Resultant bending moment in centre crankshaft at juncture of right crankweb for maximum torque

M b = \sqrt{({M bv}^{2}) + ({M bh}^{2})}

How to Evaluate Diameter of centre crankshaft at juncture of right crankweb for max torque given moments?

Diameter of centre crankshaft at juncture of right crankweb for max torque given moments evaluator uses Diameter of Crankshaft at Crankweb Joint = ((16/(pi*Shear Stress in Shaft at Crankweb Joint))*sqrt((Resultant Bending Moment at Crankweb Joint^2)+(Torsional Moment at Crankweb Joint^2)))^(1/3) to evaluate the Diameter of Crankshaft at Crankweb Joint, Diameter of centre crankshaft at juncture of right crankweb for max torque given moments is the diameter of the centre crankshaft at the juncture of the right crank web and the crankshaft when the crankshaft is designed for the maximum torsional moment. Diameter of Crankshaft at Crankweb Joint is denoted by d_s1 symbol.

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

FAQs on Diameter of centre crankshaft at juncture of right crankweb for max torque given moments

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

The formula of Diameter of centre crankshaft at juncture of right crankweb for max torque given moments is expressed as Diameter of Crankshaft at Crankweb Joint = ((16/(pi*Shear Stress in Shaft at Crankweb Joint))*sqrt((Resultant Bending Moment at Crankweb Joint^2)+(Torsional Moment at Crankweb Joint^2)))^(1/3). Here is an example- 62474.38 = ((16/(pi*25160000))*sqrt((854^2)+(640^2)))^(1/3).

How to calculate Diameter of centre crankshaft at juncture of right crankweb for max torque given moments?

With Shear Stress in Shaft at Crankweb Joint (τ), Resultant Bending Moment at Crankweb Joint (M_b) & Torsional Moment at Crankweb Joint (M_t) we can find Diameter of centre crankshaft at juncture of right crankweb for max torque given moments using the formula - Diameter of Crankshaft at Crankweb Joint = ((16/(pi*Shear Stress in Shaft at Crankweb Joint))*sqrt((Resultant Bending Moment at Crankweb Joint^2)+(Torsional Moment at Crankweb 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 Crankweb Joint?

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

Diameter of Crankshaft at Crankweb Joint=2*((Distance Between Crank Pin and Crankshaft)-(Bending Moment in Crankweb due to Tangential Force/Tangential Force on Crank Pin))

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

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

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

Diameter of centre crankshaft at juncture of right 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 centre crankshaft at juncture of right crankweb for max torque given moments can be measured.

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Diameter of centre crankshaft at juncture of right crankweb for max torque given moments Formula

​GoDiameter of centre crankshaft at juncture of right crankweb for max torque given crankweb moment Formula

Diameter of centre crankshaft at juncture of right crankweb for max torque given moments Example

Diameter of centre crankshaft at juncture of right crankweb for max torque given moments Solution

Diameter of centre crankshaft at juncture of right crankweb for max torque given moments Formula Elements

Other Formulas to find Diameter of Crankshaft at Crankweb Joint

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

How to Evaluate Diameter of centre crankshaft at juncture of right crankweb for max torque given moments?

FAQs on Diameter of centre crankshaft at juncture of right crankweb for max torque given moments

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GoDiameter of centre crankshaft at juncture of right crankweb for max torque given crankweb moment Formula