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Shear stress in centre crankshaft below flywheel for max torque Formula

GoShear stress in centre crankshaft below flywheel for max torque given bending and torsional moment 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{{(R b \cdot c g)}^{2} + {(P t \cdot r)}^{2}}

τ - Shear Stress in Crankshaft Under Flywheel?d_s - Diameter of Shaft Under Flywheel?R_b - Resultant Reaction on CrankShaft Bearing?c_g - Centre Crankshaft Bearing Gap From Flywheel?P_t - Tangential Force at Crank Pin?r - Distance Between Crank Pin And Crankshaft?π - Archimedes' constant?

Shear stress in centre crankshaft below flywheel for max torque Example

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Here is how the Shear stress in centre crankshaft below flywheel for max torque equation looks like with Values.

Here is how the Shear stress in centre crankshaft below flywheel for max torque equation looks like with Units.

Here is how the Shear stress in centre crankshaft below flywheel for max torque equation looks like.

15 = (\frac{16}{3.1416 \cdot {61.453}^{3}}) \cdot \sqrt{{(1200 \cdot 200)}^{2} + {(8000 \cdot 80)}^{2}}

15N/mm² = (\frac{16}{3.1416 \cdot {61.453mm}^{3}}) \cdot \sqrt{{(1200N \cdot 200mm)}^{2} + {(8000N \cdot 80mm)}^{2}}

15 = (\frac{16}{3.1416 \cdot {61.453}^{3}}) \cdot \sqrt{{(1200 \cdot 200)}^{2} + {(8000 \cdot 80)}^{2}}

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Shear stress in centre crankshaft below flywheel for max torque Solution

Follow our step by step solution on how to calculate Shear stress in centre crankshaft below flywheel for max torque?

FIRST Step Consider the formula

τ = (\frac{16}{π \cdot {d s}^{3}}) \cdot \sqrt{{(R b \cdot c g)}^{2} + {(P t \cdot r)}^{2}}

Next Step Substitute values of Variables

∴

τ = (\frac{16}{π \cdot {61.453mm}^{3}}) \cdot \sqrt{{(1200N \cdot 200mm)}^{2} + {(8000N \cdot 80mm)}^{2}}

Next Step Substitute values of Constants

∴

τ = (\frac{16}{3.1416 \cdot {61.453mm}^{3}}) \cdot \sqrt{{(1200N \cdot 200mm)}^{2} + {(8000N \cdot 80mm)}^{2}}

Next Step Convert Units

∴

τ = (\frac{16}{3.1416 \cdot {0.0615m}^{3}}) \cdot \sqrt{{(1200N \cdot 0.2m)}^{2} + {(8000N \cdot 0.08m)}^{2}}

Next Step Prepare to Evaluate

∴

τ = (\frac{16}{3.1416 \cdot {0.0615}^{3}}) \cdot \sqrt{{(1200 \cdot 0.2)}^{2} + {(8000 \cdot 0.08)}^{2}}

Next Step Evaluate

∴

τ = 14999997.9544717Pa

Next Step Convert to Output's Unit

∴

τ = 14.9999979544717N/mm²

LAST Step Rounding Answer

∴

τ = 15N/mm²

Shear stress in centre 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

Resultant Reaction on CrankShaft Bearing

Resultant Reaction on CrankShaft Bearing is the total reaction force on the third bearing of the crankshaft.

Symbol: R_b

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Resultant Reaction on CrankShaft Bearing

Centre Crankshaft Bearing Gap From Flywheel

Centre Crankshaft Bearing Gap From Flywheel is the distance between the third bearing of a center crankshaft and the line of action of flywheel weight.

Symbol: c_g

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Centre Crankshaft Bearing Gap From 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 Shear stress in centre crankshaft below flywheel for max torque given bending and torsional moment

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

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

Go Bending moment at central plane of centre crankshaft below flywheel at max torque

M b = R b \cdot c g

Go Torsional moment at central plane of centre crankshaft below flywheel at max torque

M t = P t \cdot r

Go Diameter of centre crankshaft under flywheel at max torque

d s = {((\frac{16}{π \cdot τ}) \cdot \sqrt{{(R b \cdot c g)}^{2} + {(P t \cdot r)}^{2}})}^{\frac{1}{3}}

Go Diameter of centre crankshaft under flywheel at max torque given bending and torsional moment

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

How to Evaluate Shear stress in centre crankshaft below flywheel for max torque?

Shear stress in centre crankshaft below flywheel for max torque evaluator uses Shear Stress in Crankshaft Under Flywheel = (16/(pi*Diameter of Shaft Under Flywheel^3))*sqrt((Resultant Reaction on CrankShaft Bearing*Centre Crankshaft Bearing Gap From Flywheel)^2+(Tangential Force at Crank Pin*Distance Between Crank Pin And Crankshaft)^2) to evaluate the Shear Stress in Crankshaft Under Flywheel, Shear stress in centre crankshaft below flywheel for max torque is the shear stress-induced in the crankshaft portion under the flywheel, as a result of the bending and torsional moments onto the crankshaft, when the center crankshaft is designed for the maximum torsional moment. Shear Stress in Crankshaft Under Flywheel is denoted by τ symbol.

How to evaluate Shear stress in centre crankshaft below flywheel for max torque using this online evaluator? To use this online evaluator for Shear stress in centre crankshaft below flywheel for max torque, enter Diameter of Shaft Under Flywheel (d_s), Resultant Reaction on CrankShaft Bearing (R_b), Centre Crankshaft Bearing Gap From Flywheel (c_g), Tangential Force at Crank Pin (P_t) & Distance Between Crank Pin And Crankshaft (r) and hit the calculate button.

FAQs on Shear stress in centre crankshaft below flywheel for max torque

What is the formula to find Shear stress in centre crankshaft below flywheel for max torque?

The formula of Shear stress in centre crankshaft below flywheel for max torque is expressed as Shear Stress in Crankshaft Under Flywheel = (16/(pi*Diameter of Shaft Under Flywheel^3))*sqrt((Resultant Reaction on CrankShaft Bearing*Centre Crankshaft Bearing Gap From Flywheel)^2+(Tangential Force at Crank Pin*Distance Between Crank Pin And Crankshaft)^2). Here is an example- 1.5E-5 = (16/(pi*0.06145305^3))*sqrt((1200*0.2)^2+(8000*0.08)^2).

How to calculate Shear stress in centre crankshaft below flywheel for max torque?

With Diameter of Shaft Under Flywheel (d_s), Resultant Reaction on CrankShaft Bearing (R_b), Centre Crankshaft Bearing Gap From Flywheel (c_g), Tangential Force at Crank Pin (P_t) & Distance Between Crank Pin And Crankshaft (r) we can find Shear stress in centre crankshaft below flywheel for max torque using the formula - Shear Stress in Crankshaft Under Flywheel = (16/(pi*Diameter of Shaft Under Flywheel^3))*sqrt((Resultant Reaction on CrankShaft Bearing*Centre Crankshaft Bearing Gap From 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((Bending Moment at Crankshaft Under Flywheel)^2+(Torsional Moment at Crankshaft Under Flywheel)^2)

Can the Shear stress in centre crankshaft below flywheel for max torque be negative?

No, the Shear stress in centre crankshaft below flywheel for max torque, measured in Stress cannot be negative.

Which unit is used to measure Shear stress in centre crankshaft below flywheel for max torque?

Shear stress in centre 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 Shear stress in centre crankshaft below flywheel for max torque can be measured.

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Shear stress in centre crankshaft below flywheel for max torque Formula

​GoShear stress in centre crankshaft below flywheel for max torque given bending and torsional moment Formula

Shear stress in centre crankshaft below flywheel for max torque Example

Shear stress in centre crankshaft below flywheel for max torque Solution

Shear stress in centre 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 Shear stress in centre crankshaft below flywheel for max torque?

FAQs on Shear stress in centre crankshaft below flywheel for max torque

Variable Name

GoShear stress in centre crankshaft below flywheel for max torque given bending and torsional moment Formula