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Shear stress in centre crankshaft at juncture of right crankweb for maximum torque Formula

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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. Check FAQs

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

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

Shear stress in centre crankshaft at juncture of right crankweb for maximum torque Example

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Here is how the Shear stress in centre crankshaft at juncture of right crankweb for maximum torque equation looks like with Values.

Here is how the Shear stress in centre crankshaft at juncture of right crankweb for maximum torque equation looks like with Units.

Here is how the Shear stress in centre crankshaft at juncture of right crankweb for maximum torque equation looks like.

25.163 = (\frac{16}{3.1416 \cdot 60^{3}}) \cdot \sqrt{(854^{2}) + (640^{2})}

25.163N/mm² = (\frac{16}{3.1416 \cdot {60mm}^{3}}) \cdot \sqrt{({854N*m}^{2}) + ({640N*m}^{2})}

25.163 = (\frac{16}{3.1416 \cdot 60^{3}}) \cdot \sqrt{(854^{2}) + (640^{2})}

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Shear stress in centre crankshaft at juncture of right crankweb for maximum torque Solution

Follow our step by step solution on how to calculate Shear stress in centre crankshaft at juncture of right crankweb for maximum torque?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

τ = (\frac{16}{π \cdot {60mm}^{3}}) \cdot \sqrt{({854N*m}^{2}) + ({640N*m}^{2})}

Next Step Substitute values of Constants

∴

τ = (\frac{16}{3.1416 \cdot {60mm}^{3}}) \cdot \sqrt{({854N*m}^{2}) + ({640N*m}^{2})}

Next Step Convert Units

∴

τ = (\frac{16}{3.1416 \cdot {0.06m}^{3}}) \cdot \sqrt{({854N*m}^{2}) + ({640N*m}^{2})}

Next Step Prepare to Evaluate

∴

τ = (\frac{16}{3.1416 \cdot {0.06}^{3}}) \cdot \sqrt{(854^{2}) + (640^{2})}

Next Step Evaluate

∴

τ = 25162987.7330853Pa

Next Step Convert to Output's Unit

∴

τ = 25.1629877330853N/mm²

LAST Step Rounding Answer

∴

τ = 25.163N/mm²

Shear stress in centre crankshaft at juncture of right crankweb for maximum torque Formula Elements

Variables

Constants

Functions

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

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

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

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

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

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

How to Evaluate Shear stress in centre crankshaft at juncture of right crankweb for maximum torque?

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

How to evaluate Shear stress in centre crankshaft at juncture of right crankweb for maximum torque using this online evaluator? To use this online evaluator for Shear stress in centre crankshaft at juncture of right crankweb for maximum torque, enter Diameter of Crankshaft at Crankweb Joint (d_s1), Resultant Bending Moment at Crankweb Joint (M_b) & Torsional Moment at Crankweb Joint (M_t) and hit the calculate button.

FAQs on Shear stress in centre crankshaft at juncture of right crankweb for maximum torque

What is the formula to find Shear stress in centre crankshaft at juncture of right crankweb for maximum torque?

The formula of Shear stress in centre crankshaft at juncture of right crankweb for maximum torque is expressed as Shear Stress in Shaft at Crankweb Joint = (16/(pi*Diameter of Crankshaft at Crankweb Joint^3))*sqrt((Resultant Bending Moment at Crankweb Joint^2)+(Torsional Moment at Crankweb Joint^2)). Here is an example- 2.5E-5 = (16/(pi*0.06^3))*sqrt((854^2)+(640^2)).

How to calculate Shear stress in centre crankshaft at juncture of right crankweb for maximum torque?

With Diameter of Crankshaft at Crankweb Joint (d_s1), Resultant Bending Moment at Crankweb Joint (M_b) & Torsional Moment at Crankweb Joint (M_t) we can find Shear stress in centre crankshaft at juncture of right crankweb for maximum torque using the formula - Shear Stress in Shaft at Crankweb Joint = (16/(pi*Diameter of Crankshaft at Crankweb Joint^3))*sqrt((Resultant Bending Moment at Crankweb Joint^2)+(Torsional Moment at Crankweb Joint^2)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the Shear stress in centre crankshaft at juncture of right crankweb for maximum torque be negative?

No, the Shear stress in centre crankshaft at juncture of right crankweb for maximum torque, measured in Stress cannot be negative.

Which unit is used to measure Shear stress in centre crankshaft at juncture of right crankweb for maximum torque?

Shear stress in centre crankshaft at juncture of right crankweb for maximum 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 at juncture of right crankweb for maximum torque can be measured.

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Shear stress in centre crankshaft at juncture of right crankweb for maximum torque Formula

Shear stress in centre crankshaft at juncture of right crankweb for maximum torque Example

Shear stress in centre crankshaft at juncture of right crankweb for maximum torque Solution

Shear stress in centre crankshaft at juncture of right crankweb for maximum torque Formula Elements

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

How to Evaluate Shear stress in centre crankshaft at juncture of right crankweb for maximum torque?

FAQs on Shear stress in centre crankshaft at juncture of right crankweb for maximum torque

Variable Name