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

GoShear stress in side-crankshaft at juncture of crankweb for max torque given moments 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 h}^{2} + {M v}^{2}) + {(P t \cdot r)}^{2}}

τ - Shear Stress in Shaft at Crank-web Joint?d - Diameter of Crankshaft at Crank-web Joint?M_h - Horizontal Bending Moment at Crank-web Joint?M_v - Vertical Bending Moment at Crank-web Joint?P_t - Tangential Force at Crankpin?r - Distance Between Crank Pin and Crankshaft?π - Archimedes' constant?

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

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

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

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

57.382 = \frac{16}{3.1416 \cdot {30.4493}^{3}} \cdot \sqrt{(29800^{2} + {316.625}^{2}) + {(80 \cdot 75)}^{2}}

57.382N/mm² = \frac{16}{3.1416 \cdot {30.4493mm}^{3}} \cdot \sqrt{({29800N*mm}^{2} + {316.625N*m}^{2}) + {(80N \cdot 75mm)}^{2}}

57.382 = \frac{16}{3.1416 \cdot {30.4493}^{3}} \cdot \sqrt{(29800^{2} + {316.625}^{2}) + {(80 \cdot 75)}^{2}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

τ = \frac{16}{π \cdot {30.4493mm}^{3}} \cdot \sqrt{({29800N*mm}^{2} + {316.625N*m}^{2}) + {(80N \cdot 75mm)}^{2}}

Next Step Substitute values of Constants

∴

τ = \frac{16}{3.1416 \cdot {30.4493mm}^{3}} \cdot \sqrt{({29800N*mm}^{2} + {316.625N*m}^{2}) + {(80N \cdot 75mm)}^{2}}

Next Step Convert Units

∴

τ = \frac{16}{3.1416 \cdot {0.0304m}^{3}} \cdot \sqrt{({29.8N*m}^{2} + {316.625N*m}^{2}) + {(80N \cdot 0.075m)}^{2}}

Next Step Prepare to Evaluate

∴

τ = \frac{16}{3.1416 \cdot {0.0304}^{3}} \cdot \sqrt{({29.8}^{2} + {316.625}^{2}) + {(80 \cdot 0.075)}^{2}}

Next Step Evaluate

∴

τ = 57382002.6915474Pa

Next Step Convert to Output's Unit

∴

τ = 57.3820026915474N/mm²

LAST Step Rounding Answer

∴

τ = 57.382N/mm²

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

Horizontal Bending Moment at Crank-web Joint

Horizontal Bending Moment at Crank-web Joint is the internal bending force acting in the horizontal plane at juncture of crank-web and crankshaft due to tangential force applied on crank-pin.

Symbol: M_h

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Horizontal Bending Moment at Crank-web Joint

Vertical Bending Moment at Crank-web Joint

Vertical Bending Moment at Crank-web Joint is the bending force acting in the vertical plane at juncture of crank-web and crankshaft, due to radial force applied on crank-pin.

Symbol: M_v

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Vertical Bending Moment at Crank-web Joint

Tangential Force at Crankpin

Tangential Force at Crankpin is the component of thrust force on connecting rod acting at the crankpin in the direction tangential to the connecting rod.

Symbol: P_t

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Tangential Force at Crankpin

Distance Between Crank Pin and Crankshaft

Distance between crank pin and crankshaft is the perpendicular distance measured between the center of the crank pin and the center of the crankshaft.

Symbol: r

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

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

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

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

Shear stress in side-crankshaft at juncture of crankweb for max torque evaluator uses 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) to evaluate the Shear Stress in Shaft at Crank-web Joint, Shear stress in side-crankshaft at juncture of crankweb for max torque 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. 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 using this online evaluator? To use this online evaluator for Shear stress in side-crankshaft at juncture of crankweb for max torque, enter Diameter of Crankshaft at Crank-web Joint (d), Horizontal Bending Moment at Crank-web Joint (M_h), Vertical Bending Moment at Crank-web Joint (M_v), Tangential Force at Crankpin (P_t) & Distance Between Crank Pin and Crankshaft (r) and hit the calculate button.

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

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

The formula of Shear stress in side-crankshaft at juncture of crankweb for max torque is expressed as 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). Here is an example- 5.7E-5 = 16/(pi*0.0304493^3)*sqrt((29.8^2+316.625^2)+(80*0.075)^2).

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

With Diameter of Crankshaft at Crank-web Joint (d), Horizontal Bending Moment at Crank-web Joint (M_h), Vertical Bending Moment at Crank-web Joint (M_v), Tangential Force at Crankpin (P_t) & Distance Between Crank Pin and Crankshaft (r) we can find Shear stress in side-crankshaft at juncture of crankweb for max torque using the formula - 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). 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(Resultant Bending Moment at Crank-web Joint^2+Torsional Moment at Crank-web Joint^2)

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

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

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

Shear stress in side-crankshaft at juncture of crankweb for max torque 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 can be measured.

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

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

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

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

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

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

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