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Shear stress in side-crankshaft at juncture of crankweb for max torque given moments Formula

GoShear stress in side-crankshaft at juncture of crankweb for max torque Formula

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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. Check FAQs

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

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

Shear stress in side-crankshaft at juncture of crankweb for max torque given moments Example

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

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

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

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

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

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

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Shear stress in side-crankshaft at juncture of crankweb for max torque given moments Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

τ = \frac{16}{π \cdot {30.4493mm}^{3}} \cdot \sqrt{{318.0243N*m}^{2} + {6N*m}^{2}}

Next Step Substitute values of Constants

∴

τ = \frac{16}{3.1416 \cdot {30.4493mm}^{3}} \cdot \sqrt{{318.0243N*m}^{2} + {6N*m}^{2}}

Next Step Convert Units

∴

τ = \frac{16}{3.1416 \cdot {0.0304m}^{3}} \cdot \sqrt{{318.0243N*m}^{2} + {6N*m}^{2}}

Next Step Prepare to Evaluate

∴

τ = \frac{16}{3.1416 \cdot {0.0304}^{3}} \cdot \sqrt{{318.0243}^{2} + 6^{2}}

Next Step Evaluate

∴

τ = 57382009.7144646Pa

Next Step Convert to Output's Unit

∴

τ = 57.3820097144646N/mm²

LAST Step Rounding Answer

∴

τ = 57.382N/mm²

Shear stress in side-crankshaft at juncture of crankweb for max torque given moments Formula Elements

Variables

Constants

Functions

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

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

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 Shear Stress in Shaft at Crank-web Joint

Go Shear stress in side-crankshaft at juncture of crankweb for max torque

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

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 Shear stress in side-crankshaft at juncture of crankweb for max torque given moments?

Shear stress in side-crankshaft at juncture of crankweb for max torque given moments evaluator uses Shear Stress in Shaft at Crank-web Joint = 16/(pi*Diameter of Crankshaft at Crank-web Joint^3)*sqrt(Resultant Bending Moment at Crank-web Joint^2+Torsional Moment at Crank-web Joint^2) to evaluate the Shear Stress in Shaft at Crank-web Joint, Shear stress in side-crankshaft at juncture of crankweb for max torque given moments is the amount of shear force applied throughout the cross-sectional area of crankshaft near the juncture of crank-web, due to the applied net bending moment on the juncture. In designing perspective this is a crucial parameter for determining crankshaft diameter near juncture of crank web. If net bending moment is known to us we can get the idea about net bending force acting on the juncture, therefore we get the idea about shear forces acting on the elemental area. Shear Stress in Shaft at Crank-web Joint is denoted by τ symbol.

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

FAQs on Shear stress in side-crankshaft at juncture of crankweb for max torque given moments

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

The formula of Shear stress in side-crankshaft at juncture of crankweb for max torque given moments is expressed as Shear Stress in Shaft at Crank-web Joint = 16/(pi*Diameter of Crankshaft at Crank-web Joint^3)*sqrt(Resultant Bending Moment at Crank-web Joint^2+Torsional Moment at Crank-web Joint^2). Here is an example- 5.7E-5 = 16/(pi*0.0304493^3)*sqrt(318.0243^2+6^2).

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

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

What are the other ways to Calculate Shear Stress in Shaft at Crank-web Joint?

Here are the different ways to Calculate Shear Stress in Shaft at Crank-web Joint-

Shear Stress in Shaft at Crank-web Joint=16/(pi*Diameter of Crankshaft at Crank-web Joint^3)*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)

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

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

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

Shear stress in side-crankshaft at juncture of crankweb for max torque given moments is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Shear stress in side-crankshaft at juncture of crankweb for max torque given moments can be measured.

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Shear stress in side-crankshaft at juncture of crankweb for max torque given moments Formula

​GoShear stress in side-crankshaft at juncture of crankweb for max torque Formula

Shear stress in side-crankshaft at juncture of crankweb for max torque given moments Example

Shear stress in side-crankshaft at juncture of crankweb for max torque given moments Solution

Shear stress in side-crankshaft at juncture of crankweb for max torque given moments Formula Elements

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

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

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

FAQs on Shear stress in side-crankshaft at juncture of crankweb for max torque given moments

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GoShear stress in side-crankshaft at juncture of crankweb for max torque Formula