Shear stress in side-crankshaft at juncture of crankweb for max torque given moments 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*ds1^3))*(sqrt(Mb^2+Mt^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: 30.4493 Millimeter --> 0.0304493 Meter (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
τ = (16/(pi*ds1^3))*(sqrt(Mb^2+Mt^2)) --> (16/(pi*0.0304493^3))*(sqrt(318.0243^2+6^2))
Evaluating ... ...
τ = 57382009.7144646
STEP 3: Convert Result to Output's Unit
57382009.7144646 Pascal -->57.3820097144646 Newton per Square Millimeter (Check conversion ​here)
FINAL ANSWER
57.3820097144646 57.38201 Newton per Square Millimeter <-- Shear Stress in Shaft at Crankweb Joint
(Calculation completed in 00.004 seconds)

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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 given moments 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))
τ = (16/(pi*ds1^3))*(sqrt(Mb^2+Mt^2))

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 given moments?

Shear stress in side-crankshaft at juncture of crankweb for max torque given moments 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, The Shear stress in side-crankshaft at juncture of crankweb for max torque given moments 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 given moments using this online calculator? To use this online calculator for Shear stress in side-crankshaft at juncture of crankweb for max torque given moments, enter Diameter of Crankshaft at Crankweb Joint (ds1), Resultant Bending Moment at Crankweb Joint (Mb) & Torsional Moment at Crankweb Joint (Mt) and hit the calculate button. Here is how the Shear stress in side-crankshaft at juncture of crankweb for max torque given moments calculation can be explained with given input values -> 5.7E-5 = (16/(pi*0.0304493^3))*(sqrt(318.0243^2+6^2)).

FAQ

What is Shear stress in side-crankshaft at juncture of crankweb for max torque given moments?
The Shear stress in side-crankshaft at juncture of crankweb for max torque given moments 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*ds1^3))*(sqrt(Mb^2+Mt^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 side-crankshaft at juncture of crankweb for max torque given moments?
The Shear stress in side-crankshaft at juncture of crankweb for max torque given moments 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(Resultant Bending Moment at Crankweb Joint^2+Torsional Moment at Crankweb Joint^2)). To calculate Shear stress in side-crankshaft at juncture of crankweb for max torque given moments, you need Diameter of Crankshaft at Crankweb Joint (ds1), Resultant Bending Moment at Crankweb Joint (Mb) & Torsional Moment at Crankweb Joint (Mt). 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.
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, Resultant Bending Moment at Crankweb Joint & Torsional Moment at Crankweb Joint. 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((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))
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