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

✖Diameter of Crankshaft at Crankweb Joint 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 given moments [d_s1]

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Formula

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

Formula

`"d"_{"s1"} = ((16/(pi*"τ"))*(sqrt("M"_{"b"}^2+"M"_{"t"}^2)))^(1/3)`

Example

`"30.4493mm"=((16/(pi*"57.382N/mm²"))*(sqrt(("318024.3N*mm")^2+("6000N*mm")^2)))^(1/3)`

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
d_s1 = ((16/(pi*τ))*(sqrt(M_b^2+M_t^2)))^(1/3)
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

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.
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.
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

Shear Stress in Shaft at Crankweb Joint: 57.382 Newton per Square Millimeter --> 57382000 Pascal (Check conversion here)
Resultant Bending Moment at Crankweb Joint: 318024.3 Newton Millimeter --> 318.0243 Newton Meter (Check conversion here)
Torsional Moment at Crankweb Joint: 6000 Newton Millimeter --> 6 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_s1 = ((16/(pi*τ))*(sqrt(M_b^2+M_t^2)))^(1/3) --> ((16/(pi*57382000))*(sqrt(318.0243^2+6^2)))^(1/3)

Evaluating ... ...

d_s1 = 0.0304493017183009

STEP 3: Convert Result to Output's Unit

0.0304493017183009 Meter -->30.4493017183009 Millimeter (Check conversion here)

FINAL ANSWER

30.4493017183009 ≈ 30.4493 Millimeter <-- Diameter of Crankshaft 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 » Diameter of side-crankshaft at juncture of crankweb for max torque given moments

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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 given moments 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 given moments?

Diameter of side-crankshaft at juncture of crankweb for max torque given moments calculator uses 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) to calculate the Diameter of Crankshaft at Crankweb Joint, The Diameter of side-crankshaft at juncture of crankweb for max torque given moments 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 Crankweb Joint is denoted by d_s1 symbol.

How to calculate Diameter of side-crankshaft at juncture of crankweb for max torque given moments using this online calculator? To use this online calculator for Diameter of side-crankshaft at juncture of crankweb for max torque given moments, enter Shear Stress in Shaft at Crankweb Joint (τ), Resultant Bending Moment at Crankweb Joint (M_b) & Torsional Moment at Crankweb Joint (M_t) and hit the calculate button. Here is how the Diameter of side-crankshaft at juncture of crankweb for max torque given moments calculation can be explained with given input values -> 30449.3 = ((16/(pi*57382000))*(sqrt(318.0243^2+6^2)))^(1/3).

FAQ

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

The Diameter of side-crankshaft at juncture of crankweb for max torque given moments 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_s1 = ((16/(pi*τ))*(sqrt(M_b^2+M_t^2)))^(1/3) or 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 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, 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 Diameter of side-crankshaft at juncture of crankweb for max torque given moments?

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