Shear stress in side-crankshaft at juncture of crankweb for max 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%
✖Horizontal Bending Moment at Crank-web Joint is the bending moment in the horizontal plane produced by the tangential force on the crank pin.ⓘ Horizontal Bending Moment at Crank-web Joint [M_b-h]			+10% -10%
✖Vertical Bending Moment at Crank-web Joint is the bending moment in the vertical plane produced by the radial force on the crank pin.ⓘ Vertical Bending Moment at Crank-web Joint [M_b-v]			+10% -10%
✖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.ⓘ Tangential Force at Crank Pin [P_t]			+10% -10%
✖Distance between crank pin and crankshaft is the perpendicular distance between the crank pin and the crankshaft.ⓘ Distance Between Crank Pin and Crankshaft [r]			+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 side-crankshaft at juncture of crankweb for max torque [τ]

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Formula

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

Formula

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

Example

`"57.382N/mm²"=(16/(pi*("30.4493mm")^3))*(sqrt((("29800N*mm")^2+("316625N*mm")^2)+("80N"*"75mm")^2))`

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Shear stress in side-crankshaft at juncture of crankweb for max 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((Horizontal Bending Moment at Crank-web Joint^2+Vertical Bending Moment at Crank-web Joint^2)+(Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft)^2))
τ = (16/(pi*d_s1^3))*(sqrt((M_b-h^2+M_b-v^2)+(P_t*r)^2))
This formula uses 1 Constants, 1 Functions, 6 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.
Horizontal Bending Moment at Crank-web Joint - (Measured in Newton Meter) - Horizontal Bending Moment at Crank-web Joint is the bending moment in the horizontal plane produced by the tangential force on the crank pin.
Vertical Bending Moment at Crank-web Joint - (Measured in Newton Meter) - Vertical Bending Moment at Crank-web Joint is the bending moment in the vertical plane produced by the radial force on the crank pin.
Tangential Force at Crank Pin - (Measured in Newton) - 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.
Distance Between Crank Pin and Crankshaft - (Measured in Meter) - Distance between crank pin and crankshaft is the perpendicular distance between the crank pin and the crankshaft.

STEP 1: Convert Input(s) to Base Unit

Diameter of Crankshaft at Crankweb Joint: 30.4493 Millimeter --> 0.0304493 Meter (Check conversion here)
Horizontal Bending Moment at Crank-web Joint: 29800 Newton Millimeter --> 29.8 Newton Meter (Check conversion here)
Vertical Bending Moment at Crank-web Joint: 316625 Newton Millimeter --> 316.625 Newton Meter (Check conversion here)
Tangential Force at Crank Pin: 80 Newton --> 80 Newton No Conversion Required
Distance Between Crank Pin and Crankshaft: 75 Millimeter --> 0.075 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = (16/(pi*d_s1^3))*(sqrt((M_b-h^2+M_b-v^2)+(P_t*r)^2)) --> (16/(pi*0.0304493^3))*(sqrt((29.8^2+316.625^2)+(80*0.075)^2))

Evaluating ... ...

τ = 57382002.6915474

STEP 3: Convert Result to Output's Unit

57382002.6915474 Pascal -->57.3820026915474 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

57.3820026915474 ≈ 57.382 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 Side Crankshaft » Design of Shaft at Juncture of Crank Web at Angle of Maximum Torque » Shear stress in side-crankshaft at juncture of crankweb for max torque

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< 9 Design of Shaft at Juncture of Crank Web at Angle of Maximum Torque Calculators

Diameter of side crankshaft at juncture of crankweb for max torque

Go Diameter of Crankshaft at Juncture = ((16/(pi*Shear Stress in Shaft at Crankweb Joint))*(sqrt(sqrt((Horizontal Bending Moment at Crank-web Joint^2)+(Vertical Bending Moment at Crank-web Joint^2)))^2)+(Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft)^2)^(1/3)

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

Go Shear Stress in Shaft at Crankweb Joint = (16/(pi*Diameter of Crankshaft at Crankweb Joint^3))*(sqrt((Horizontal Bending Moment at Crank-web Joint^2+Vertical Bending Moment at Crank-web Joint^2)+(Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft)^2))

Resultant bending moment in side-crankshaft at juncture of crankweb for max torque

Go Resultant Bending Moment at Crankweb Joint = sqrt((Tangential Force at Crank Pin*((Length of Crank Pin*0.75)+Thickness of Crank Web))^2+(Radial Force at Crank Pin*((Length of Crank Pin*0.75)+Thickness of Crank Web))^2)

Diameter of side-crankshaft at juncture of 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 side-crankshaft at juncture of crankweb for max torque given moments

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))

Resultant bending moment in side crankshaft at juncture of crankweb for max torque given moments

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

Bending moment in horizontal plane of side-crankshaft at juncture of crankweb for max torque

Go Horizontal Bending Moment at Crank-web Joint = Tangential Force at Crank Pin*((Length of Crank Pin*0.75)+Thickness of Crank Web)

Bending moment in vertical plane of side-crankshaft at juncture of crankweb for max torque

Go Vertical Bending Moment at Crank-web Joint = Radial Force at Crank Pin*((Length of Crank Pin*0.75)+Thickness of Crank Web)

Torsional moment in side-crankshaft at juncture of crankweb for max torque

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

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

What is a Crank?

A crank is an arm attached at a right angle to a rotating shaft by which circular motion is imparted to or received from the shaft. When combined with a connecting rod, it can be used to convert circular motion into reciprocating motion, or vice versa. The arm may be a bent portion of the shaft or a separate arm or disk attached to it. Attached to the end of the crank by a pivot is a rod, usually called a connecting rod. Almost all reciprocating engines use cranks (with connecting rods) to transform the back-and-forth motion of the pistons into rotary motion. The cranks are incorporated into a crankshaft.

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

Shear stress in side-crankshaft at juncture of crankweb for max torque calculator uses Shear Stress in Shaft at Crankweb Joint = (16/(pi*Diameter of Crankshaft at Crankweb Joint^3))*(sqrt((Horizontal Bending Moment at Crank-web Joint^2+Vertical Bending Moment at Crank-web Joint^2)+(Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft)^2)) to calculate the Shear Stress in Shaft at Crankweb Joint, The Shear stress in side-crankshaft at juncture of crankweb for max torque is the amount of shear stress in the side crankshaft at the juncture of the 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 side-crankshaft at juncture of crankweb for max torque using this online calculator? To use this online calculator for Shear stress in side-crankshaft at juncture of crankweb for max torque, enter Diameter of Crankshaft at Crankweb Joint (d_s1), Horizontal Bending Moment at Crank-web Joint (M_b-h), Vertical Bending Moment at Crank-web Joint (M_b-v), Tangential Force at Crank Pin (P_t) & Distance Between Crank Pin and Crankshaft (r) and hit the calculate button. Here is how the Shear stress in side-crankshaft at juncture of crankweb for max torque calculation can be explained with given input values -> 5.7E-5 = (16/(pi*0.0304493^3))*(sqrt((29.8^2+316.625^2)+(80*0.075)^2)).

FAQ

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

The Shear stress in side-crankshaft at juncture of crankweb for max torque is the amount of shear stress in the side crankshaft at the juncture of the 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-h^2+M_b-v^2)+(P_t*r)^2)) or Shear Stress in Shaft at Crankweb Joint = (16/(pi*Diameter of Crankshaft at Crankweb Joint^3))*(sqrt((Horizontal Bending Moment at Crank-web Joint^2+Vertical Bending Moment at Crank-web Joint^2)+(Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft)^2)). Diameter of Crankshaft at Crankweb Joint is the diameter of the crankshaft at the juncture of the crank web and the crankshaft, Horizontal Bending Moment at Crank-web Joint is the bending moment in the horizontal plane produced by the tangential force on the crank pin, Vertical Bending Moment at Crank-web Joint is the bending moment in the vertical plane produced by the radial force on the 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 & Distance between crank pin and crankshaft is the perpendicular distance between the crank pin and the crankshaft.

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

The Shear stress in side-crankshaft at juncture of crankweb for max torque is the amount of shear stress in the side crankshaft at the juncture of the 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((Horizontal Bending Moment at Crank-web Joint^2+Vertical Bending Moment at Crank-web Joint^2)+(Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft)^2)). To calculate Shear stress in side-crankshaft at juncture of crankweb for max torque, you need Diameter of Crankshaft at Crankweb Joint (d_s1), Horizontal Bending Moment at Crank-web Joint (M_b-h), Vertical Bending Moment at Crank-web Joint (M_b-v), Tangential Force at Crank Pin (P_t) & Distance Between Crank Pin and Crankshaft (r). With our tool, you need to enter the respective value for Diameter of Crankshaft at Crankweb Joint, Horizontal Bending Moment at Crank-web Joint, Vertical Bending Moment at Crank-web Joint, Tangential Force at Crank Pin & Distance Between Crank Pin and Crankshaft and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Shear Stress in Shaft at Crankweb Joint?

In this formula, Shear Stress in Shaft at Crankweb Joint uses Diameter of Crankshaft at Crankweb Joint, Horizontal Bending Moment at Crank-web Joint, Vertical Bending Moment at Crank-web Joint, Tangential Force at Crank Pin & Distance Between Crank Pin and Crankshaft. We can use 1 other way(s) to calculate the same, which is/are as follows -

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))

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