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Torsional shear stress in side-crankshaft below flywheel for max torque Formula

GoTorsional shear stress in side-crankshaft below flywheel for max torque given moments Formula

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Shear Stress in Crankshaft Under Flywheel is the amount of shear stress (causes deformation by slippage along plane parallel to the imposed stress) at the crankshaft part under flywheel. Check FAQs

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

τ - Shear Stress in Crankshaft Under Flywheel?D_s - Diameter of Shaft Under Flywheel?M_bv - Vertical Bending Moment in Shaft Under Flywheel?M_bh - Horizontal Bending Moment in Shaft Under Flywheel?P_t - Tangential Force at Crank Pin?r - Distance Between Crank Pin And Crankshaft?π - Archimedes' constant?

Torsional shear stress in side-crankshaft below flywheel for max torque Example

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Here is how the Torsional shear stress in side-crankshaft below flywheel for max torque equation looks like with Values.

Here is how the Torsional shear stress in side-crankshaft below flywheel for max torque equation looks like with Units.

Here is how the Torsional shear stress in side-crankshaft below flywheel for max torque equation looks like.

10.7736 = \frac{16}{3.1416 \cdot {35.4321}^{3}} \cdot \sqrt{25000^{2} + 82400^{2} + {(3613.665 \cdot 10.5)}^{2}}

10.7736N/mm² = \frac{16}{3.1416 \cdot {35.4321mm}^{3}} \cdot \sqrt{{25000N*mm}^{2} + {82400N*mm}^{2} + {(3613.665N \cdot 10.5mm)}^{2}}

10.7736 = \frac{16}{3.1416 \cdot {35.4321}^{3}} \cdot \sqrt{25000^{2} + 82400^{2} + {(3613.665 \cdot 10.5)}^{2}}

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Torsional shear stress in side-crankshaft below flywheel for max torque Solution

Follow our step by step solution on how to calculate Torsional shear stress in side-crankshaft below flywheel for max torque?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

τ = \frac{16}{π \cdot {35.4321mm}^{3}} \cdot \sqrt{{25000N*mm}^{2} + {82400N*mm}^{2} + {(3613.665N \cdot 10.5mm)}^{2}}

Next Step Substitute values of Constants

∴

τ = \frac{16}{3.1416 \cdot {35.4321mm}^{3}} \cdot \sqrt{{25000N*mm}^{2} + {82400N*mm}^{2} + {(3613.665N \cdot 10.5mm)}^{2}}

Next Step Convert Units

∴

τ = \frac{16}{3.1416 \cdot {0.0354m}^{3}} \cdot \sqrt{{25N*m}^{2} + {82.4N*m}^{2} + {(3613.665N \cdot 0.0105m)}^{2}}

Next Step Prepare to Evaluate

∴

τ = \frac{16}{3.1416 \cdot {0.0354}^{3}} \cdot \sqrt{25^{2} + {82.4}^{2} + {(3613.665 \cdot 0.0105)}^{2}}

Next Step Evaluate

∴

τ = 10773568.0928511Pa

Next Step Convert to Output's Unit

∴

τ = 10.7735680928511N/mm²

LAST Step Rounding Answer

∴

τ = 10.7736N/mm²

Torsional shear stress in side-crankshaft below flywheel for max torque Formula Elements

Variables

Constants

Functions

Shear Stress in Crankshaft Under Flywheel

Shear Stress in Crankshaft Under Flywheel is the amount of shear stress (causes deformation by slippage along plane parallel to the imposed stress) at the crankshaft part under flywheel.

Symbol: τ

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Crankshaft Under Flywheel

Diameter of Shaft Under Flywheel

Diameter of Shaft Under Flywheel is the diameter, of the part of the crankshaft under the flywheel, the distance across the shaft that passes through the center of the shaft is 2R (twice the radius).

Symbol: D_s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Shaft Under Flywheel

Vertical Bending Moment in Shaft Under Flywheel

Vertical Bending Moment in Shaft Under Flywheel is the bending moment in the vertical plane of the part of crankshaft under the flywheel.

Symbol: M_bv

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Vertical Bending Moment in Shaft Under Flywheel

Horizontal Bending Moment in Shaft Under Flywheel

Horizontal Bending Moment in Shaft under Flywheel is the bending moment in the horizontal plane of the part of the crankshaft under the flywheel.

Symbol: M_bh

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Horizontal Bending Moment in Shaft Under Flywheel

Tangential Force at Crank Pin

Tangential Force at Crank Pin 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 Crank Pin

Distance Between Crank Pin And Crankshaft

Distance Between Crank Pin 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 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 Crankshaft Under Flywheel

Go Torsional shear stress in side-crankshaft below flywheel for max torque given moments

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

Other formulas in Design of Shaft Under Flywheel at Angle of Maximum Torque category

Go Vertical bending moment at central plane of side crankshaft below flywheel at max torque

M b v = (P r \cdot (b + c 1)) - (c 1 \cdot (R1 v + R' 1 v))

Go Horizontal Bending Moment at Central Plane of Side Crankshaft below Flywheel at max Torque

M b h = (P t \cdot (b + c 1)) - (c 1 \cdot (R1 h + R' 1 h))

Go Resultant Bending moment at side crankshaft below flywheel at max torque given moments

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

Go Diameter of side-crankshaft under flywheel at max torque

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

How to Evaluate Torsional shear stress in side-crankshaft below flywheel for max torque?

Torsional shear stress in side-crankshaft below flywheel for max torque evaluator uses Shear Stress in Crankshaft Under Flywheel = 16/(pi*Diameter of Shaft Under Flywheel^3)*sqrt(Vertical Bending Moment in Shaft Under Flywheel^2+Horizontal Bending Moment in Shaft Under Flywheel^2+(Tangential Force at Crank Pin*Distance Between Crank Pin And Crankshaft)^2) to evaluate the Shear Stress in Crankshaft Under Flywheel, The torsional shear stress in side-crankshaft below flywheel for max torque is the torsional shear stress induced in the crankshaft portion under the flywheel, as a result of the torsional moment onto the crankshaft, when the side crankshaft is designed for the maximum torsional moment. Shear Stress in Crankshaft Under Flywheel is denoted by τ symbol.

How to evaluate Torsional shear stress in side-crankshaft below flywheel for max torque using this online evaluator? To use this online evaluator for Torsional shear stress in side-crankshaft below flywheel for max torque, enter Diameter of Shaft Under Flywheel (D_s), Vertical Bending Moment in Shaft Under Flywheel (M_bv), Horizontal Bending Moment in Shaft Under Flywheel (M_bh), Tangential Force at Crank Pin (P_t) & Distance Between Crank Pin And Crankshaft (r) and hit the calculate button.

FAQs on Torsional shear stress in side-crankshaft below flywheel for max torque

What is the formula to find Torsional shear stress in side-crankshaft below flywheel for max torque?

The formula of Torsional shear stress in side-crankshaft below flywheel for max torque is expressed as Shear Stress in Crankshaft Under Flywheel = 16/(pi*Diameter of Shaft Under Flywheel^3)*sqrt(Vertical Bending Moment in Shaft Under Flywheel^2+Horizontal Bending Moment in Shaft Under Flywheel^2+(Tangential Force at Crank Pin*Distance Between Crank Pin And Crankshaft)^2). Here is an example- 1.4E-5 = 16/(pi*0.03543213^3)*sqrt(25^2+82.4^2+(3613.665*0.0105)^2).

How to calculate Torsional shear stress in side-crankshaft below flywheel for max torque?

With Diameter of Shaft Under Flywheel (D_s), Vertical Bending Moment in Shaft Under Flywheel (M_bv), Horizontal Bending Moment in Shaft Under Flywheel (M_bh), Tangential Force at Crank Pin (P_t) & Distance Between Crank Pin And Crankshaft (r) we can find Torsional shear stress in side-crankshaft below flywheel for max torque using the formula - Shear Stress in Crankshaft Under Flywheel = 16/(pi*Diameter of Shaft Under Flywheel^3)*sqrt(Vertical Bending Moment in Shaft Under Flywheel^2+Horizontal Bending Moment in Shaft Under Flywheel^2+(Tangential Force at Crank Pin*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 Crankshaft Under Flywheel?

Here are the different ways to Calculate Shear Stress in Crankshaft Under Flywheel-

Shear Stress in Crankshaft Under Flywheel=16/(pi*Diameter of Shaft Under Flywheel^3)*sqrt(Total Bending Moment in Crankshaft Under Flywheel^2+Torsional Moment at Crankshaft Under Flywheel^2)

Can the Torsional shear stress in side-crankshaft below flywheel for max torque be negative?

No, the Torsional shear stress in side-crankshaft below flywheel for max torque, measured in Stress cannot be negative.

Which unit is used to measure Torsional shear stress in side-crankshaft below flywheel for max torque?

Torsional shear stress in side-crankshaft below flywheel 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 Torsional shear stress in side-crankshaft below flywheel for max torque can be measured.

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Torsional shear stress in side-crankshaft below flywheel for max torque Formula

​GoTorsional shear stress in side-crankshaft below flywheel for max torque given moments Formula

Torsional shear stress in side-crankshaft below flywheel for max torque Example

Torsional shear stress in side-crankshaft below flywheel for max torque Solution

Torsional shear stress in side-crankshaft below flywheel for max torque Formula Elements

Other Formulas to find Shear Stress in Crankshaft Under Flywheel

Other formulas in Design of Shaft Under Flywheel at Angle of Maximum Torque category

How to Evaluate Torsional shear stress in side-crankshaft below flywheel for max torque?

FAQs on Torsional shear stress in side-crankshaft below flywheel for max torque

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GoTorsional shear stress in side-crankshaft below flywheel for max torque given moments Formula