Diameter of side crankshaft at juncture of crankweb for max torque Calculator

✖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 Shaft at Crankweb Joint [τ]			+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%

✖Diameter of Crankshaft at Juncture is the diameter of the crankshaft at the juncture of the crank web and the crankshaft.ⓘ Diameter of side crankshaft at juncture of crankweb for max torque [d_{s 1}]

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Formula

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Diameter of side crankshaft at juncture of crankweb for max torque

Formula

`"d"_{"s 1"} = ((16/(pi*"τ"))*(sqrt(sqrt(("M"_{"b-h"}^2)+("M"_{"b-v"}^2)))^2)+("P"_{"t"}*"r")^2)^(1/3)`

Example

`"3301.928mm"=((16/(pi*"57.382N/mm²"))*(sqrt(sqrt((("29800N*mm")^2)+(("316625N*mm")^2)))^2)+("80N"*"75mm")^2)^(1/3)`

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Diameter of side crankshaft at juncture of crankweb for max torque Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
d_{s 1} = ((16/(pi*τ))*(sqrt(sqrt((M_b-h^2)+(M_b-v^2)))^2)+(P_t*r)^2)^(1/3)
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

Diameter of Crankshaft at Juncture - (Measured in Meter) - Diameter of Crankshaft at Juncture is the diameter of the crankshaft at the juncture of the crank web and the crankshaft.
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.
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

Shear Stress in Shaft at Crankweb Joint: 57.382 Newton per Square Millimeter --> 57382000 Pascal (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

d_{s 1} = ((16/(pi*τ))*(sqrt(sqrt((M_b-h^2)+(M_b-v^2)))^2)+(P_t*r)^2)^(1/3) --> ((16/(pi*57382000))*(sqrt(sqrt((29.8^2)+(316.625^2)))^2)+(80*0.075)^2)^(1/3)

Evaluating ... ...

d_{s 1} = 3.30192811186982

STEP 3: Convert Result to Output's Unit

3.30192811186982 Meter -->3301.92811186982 Millimeter (Check conversion here)

FINAL ANSWER

3301.92811186982 ≈ 3301.928 Millimeter <-- Diameter of Crankshaft at Juncture

(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 » Diameter of 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)

Diameter of 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 Diameter of side crankshaft at juncture of crankweb for max torque?

Diameter of side crankshaft at juncture of crankweb for max torque calculator uses 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) to calculate the Diameter of Crankshaft at Juncture, The Diameter of side crankshaft at juncture of crankweb for max torque is the diameter of the side crankshaft at the juncture of the crank web and the crankshaft when the crankshaft is designed for the maximum torsional moment. Diameter of Crankshaft at Juncture is denoted by d_{s 1} symbol.

How to calculate Diameter of side crankshaft at juncture of crankweb for max torque using this online calculator? To use this online calculator for Diameter of side crankshaft at juncture of crankweb for max torque, enter Shear Stress in Shaft at Crankweb Joint (τ), 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 Diameter of side crankshaft at juncture of crankweb for max torque calculation can be explained with given input values -> 3.3E+6 = ((16/(pi*57382000))*(sqrt(sqrt((29.8^2)+(316.625^2)))^2)+(80*0.075)^2)^(1/3).

FAQ

What is Diameter of side crankshaft at juncture of crankweb for max torque?

The Diameter of side crankshaft at juncture of crankweb for max torque is the diameter of 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 d_{s 1} = ((16/(pi*τ))*(sqrt(sqrt((M_b-h^2)+(M_b-v^2)))^2)+(P_t*r)^2)^(1/3) or 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 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, 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 Diameter of side crankshaft at juncture of crankweb for max torque?

The Diameter of side crankshaft at juncture of crankweb for max torque is the diameter of 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 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). To calculate Diameter of side crankshaft at juncture of crankweb for max torque, you need Shear Stress in Shaft at Crankweb Joint (τ), 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 Shear Stress in Shaft 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.

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