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

✖Diameter of Crankshaft at Crankweb Joint is the diameter of the crankshaft at the juncture of the crank web and the crankshaft.ⓘ Diameter of Crankshaft at Crankweb Joint [d_s1]			+10% -10%
✖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.ⓘ Resultant Bending Moment at Crankweb Joint [M_b]			+10% -10%
✖Torsional Moment at Crankweb Joint is the torsional moment in the crankshaft at the juncture of crank web and crankshaft.ⓘ Torsional Moment at Crankweb Joint [M_t]			+10% -10%

✖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.ⓘ Shear stress in centre crankshaft at juncture of right crankweb for maximum torque [τ]

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Formula

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

Formula

`"τ" = (16/(pi*"d"_{"s1"}^3))*sqrt(("M"_{"b"}^2)+("M"_{"t"}^2))`

Example

`"14.03771N/mm²"=(16/(pi*("70mm")^3))*sqrt((("170000N*mm")^2)+(("930000N*mm")^2))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
τ = (16/(pi*d_s1^3))*sqrt((M_b^2)+(M_t^2))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sqrt(Number)

Variables Used

Shear Stress in Shaft at Crankweb Joint - (Measured in Pascal) - 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.
Diameter of Crankshaft at Crankweb Joint - (Measured in Meter) - Diameter of Crankshaft at Crankweb Joint is the diameter of the crankshaft at the juncture of the crank web and the crankshaft.
Resultant Bending Moment at Crankweb Joint - (Measured in Newton Meter) - 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.
Torsional Moment at Crankweb Joint - (Measured in Newton Meter) - Torsional Moment at Crankweb Joint is the torsional moment in the crankshaft at the juncture of crank web and crankshaft.

STEP 1: Convert Input(s) to Base Unit

Diameter of Crankshaft at Crankweb Joint: 70 Millimeter --> 0.07 Meter (Check conversion here)
Resultant Bending Moment at Crankweb Joint: 170000 Newton Millimeter --> 170 Newton Meter (Check conversion here)
Torsional Moment at Crankweb Joint: 930000 Newton Millimeter --> 930 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = (16/(pi*d_s1^3))*sqrt((M_b^2)+(M_t^2)) --> (16/(pi*0.07^3))*sqrt((170^2)+(930^2))

Evaluating ... ...

τ = 14037706.7303897

STEP 3: Convert Result to Output's Unit

14037706.7303897 Pascal -->14.0377067303898 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

14.0377067303898 ≈ 14.03771 Newton per Square Millimeter <-- Shear Stress in Shaft at Crankweb Joint

(Calculation completed in 00.004 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Crankshaft » Design of Centre Crankshaft » Design of Shaft at Juncture of Crank Web at Angle of Maximum Torque » Shear stress in centre crankshaft at juncture of right crankweb for maximum torque

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Created by Saurabh Patil

Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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< 7 Design of Shaft at Juncture of Crank Web at Angle of Maximum Torque Calculators

Bending moment in horizontal plane of centre crankshaft at juncture of right crankweb for max torque

Go Horizontal Bending Moment at Right Crank web Joint = Horizontal Force at Bearing 1 by Tangential Force*(Distance from Bearing 1 to Center of Crank Pin+(Length of Crank Pin/2)+(Thickness of Crank Web/2))-Tangential Force on Crank Pin*((Length of Crank Pin/2)+(Thickness of Crank Web/2))

Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque

Go Vertical Bending Moment at Crank web Joint = (Vertical Reaction at Bearing 1 due to Radial Force*(Distance from Bearing 1 to Center of Crank Pin+(Length of Crank Pin/2)+(Thickness of Crank Web/2)))-(Radial Force at Crank Pin*((Length of Crank Pin/2)+(Thickness of Crank Web/2)))

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

Go Diameter of Crankshaft at Crankweb Joint = ((16/(pi*Shear Stress in Shaft at Crankweb Joint))*sqrt((Resultant Bending Moment at Crankweb Joint^2)+(Torsional Moment at Crankweb Joint^2)))^(1/3)

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

Go 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))

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

Go Diameter of Crankshaft at Crankweb Joint = 2*((Distance Between Crank Pin and Crankshaft)-(Bending Moment in Crankweb due to Tangential Force/Tangential Force on Crank Pin))

Resultant bending moment in centre crankshaft at juncture of right crankweb for maximum torque

Go Resultant Bending Moment at Crankweb Joint = sqrt((Vertical Bending Moment at Crank web Joint^2)+(Horizontal Bending Moment at Right Crank web Joint^2))

Torsional moment in centre crankshaft at juncture of right crankweb for maximum torque

Go Torsional Moment at Crankweb Joint = Tangential Force on Crank Pin*Distance Between Crank Pin and Crankshaft

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

What is Shear Stress?

When an external force acts on an object, It undergoes deformation. If the direction of the force is parallel to the plane of the object. The deformation will be along that plane. The stress experienced by the object here is shear stress or tangential stress.

What is Torsional Shear Stress?

Torsional shear stress or Torsional stress is the shear stress produced in the shaft due to the twisting. This twisting in the shaft is caused by the couple acting on it. Torsion occurs when two forces of similar value are applied in opposite directions, causing torque.

How to Calculate 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 calculator 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 calculate 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 calculate Shear stress in centre crankshaft at juncture of right crankweb for maximum torque using this online calculator? To use this online calculator 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. Here is how the Shear stress in centre crankshaft at juncture of right crankweb for maximum torque calculation can be explained with given input values -> 1.4E-5 = (16/(pi*0.07^3))*sqrt((170^2)+(930^2)).

FAQ

What is 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 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 and is represented as τ = (16/(pi*d_s1^3))*sqrt((M_b^2)+(M_t^2)) or 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)). Diameter of Crankshaft at Crankweb Joint is the diameter of the crankshaft at the juncture of the crank web and the crankshaft, 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 & Torsional Moment at Crankweb Joint is the torsional moment in the crankshaft at the juncture of crank web and crankshaft.

How to calculate 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 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 is calculated using 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 calculate Shear stress in centre crankshaft at juncture of right crankweb for maximum torque, you need Diameter of Crankshaft at Crankweb Joint (d_s1), Resultant Bending Moment at Crankweb Joint (M_b) & Torsional Moment at Crankweb Joint (M_t). With our tool, you need to enter the respective value for Diameter of Crankshaft at Crankweb Joint, Resultant Bending Moment at Crankweb Joint & Torsional Moment at Crankweb Joint and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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