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 Crank-web Joint = (16/(pi*Shear Stress in Shaft at Crank-web Joint)*sqrt(Resultant Bending Moment at Crank-web Joint^2+Torsional Moment at Crank-web Joint^2))^(1/3)
d = (16/(pi*τ)*sqrt(Mb^2+Mt^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 Crank-web Joint - (Measured in Meter) - Diameter of Crankshaft at Crank-web Joint is the distance measured through the center of the crankshaft around it's circumference at the juncture of crank web and crankshaft.
Shear Stress in Shaft at Crank-web Joint - (Measured in Pascal) - Shear Stress in Shaft at Crank-web Joint is the amount of shear force applied throughout the cross-sectional area of crankshaft near the juncture of crank-web, due to the applied bending moment.
Resultant Bending Moment at Crank-web Joint - (Measured in Newton Meter) - Resultant Bending Moment at Crank-web Joint is the net internal distribution of force induced at juncture of crank-web and crankshaft due to tangential and radial force on crankpin.
Torsional Moment at Crank-web Joint - (Measured in Newton Meter) - Torsional Moment at Crank-web Joint refers to the twisting force acting at the point on the circumference where the crank-web meets the crankshaft, due to the forces acting on the crankpin.
STEP 1: Convert Input(s) to Base Unit
Shear Stress in Shaft at Crank-web Joint: 57.382 Newton per Square Millimeter --> 57382000 Pascal (Check conversion ​here)
Resultant Bending Moment at Crank-web Joint: 318.0243 Newton Meter --> 318.0243 Newton Meter No Conversion Required
Torsional Moment at Crank-web Joint: 6 Newton Meter --> 6 Newton Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = (16/(pi*τ)*sqrt(Mb^2+Mt^2))^(1/3) --> (16/(pi*57382000)*sqrt(318.0243^2+6^2))^(1/3)
Evaluating ... ...
d = 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 Crank-web Joint
(Calculation completed in 00.020 seconds)

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

Resultant bending moment in side crankshaft at juncture of crankweb for max torque given moments
​ LaTeX ​ Go Resultant Bending Moment at Crank-web 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
​ LaTeX ​ Go Horizontal Bending Moment at Crank-web Joint = Tangential Force at Crankpin*(0.75*Length of Crankpin+Thickness of Crank Web)
Bending moment in vertical plane of side-crankshaft at juncture of crankweb for max torque
​ LaTeX ​ Go Vertical Bending Moment at Crank-web Joint = Radial Force at Crank Pin*(0.75*Length of Crankpin+Thickness of Crank Web)
Torsional moment in side-crankshaft at juncture of crankweb for max torque
​ LaTeX ​ Go Torsional Moment at Crank-web Joint = Tangential Force at Crankpin*Distance Between Crank Pin and Crankshaft

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

​LaTeX ​Go
Diameter of Crankshaft at Crank-web Joint = (16/(pi*Shear Stress in Shaft at Crank-web Joint)*sqrt(Resultant Bending Moment at Crank-web Joint^2+Torsional Moment at Crank-web Joint^2))^(1/3)
d = (16/(pi*τ)*sqrt(Mb^2+Mt^2))^(1/3)

What is crank web?

A crank web 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 web by a pivot is a rod, usually called a connecting rod. Almost all reciprocating engines use crank web (with connecting rods) to transform the back-and-forth motion of the pistons into rotary motion. The crank webs 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 Crank-web Joint = (16/(pi*Shear Stress in Shaft at Crank-web Joint)*sqrt(Resultant Bending Moment at Crank-web Joint^2+Torsional Moment at Crank-web Joint^2))^(1/3) to calculate the Diameter of Crankshaft at Crank-web Joint, Diameter of side-crankshaft at juncture of crankweb for max torque given moments is the distance measured through the center of the crankshaft around it's circumference at the juncture of crank-web and crankshaft. Determining the shaft diameter considering maximum torque applied on the shaft and bending moments produced at the juncture of crank-web and crankshaft due to the engine forces is crucial for designing perspective to avoid yielding or fatigue failure. Diameter of Crankshaft at Crank-web Joint is denoted by d 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 Crank-web Joint (τ), Resultant Bending Moment at Crank-web Joint (Mb) & Torsional Moment at Crank-web Joint (Mt) 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?
Diameter of side-crankshaft at juncture of crankweb for max torque given moments is the distance measured through the center of the crankshaft around it's circumference at the juncture of crank-web and crankshaft. Determining the shaft diameter considering maximum torque applied on the shaft and bending moments produced at the juncture of crank-web and crankshaft due to the engine forces is crucial for designing perspective to avoid yielding or fatigue failure and is represented as d = (16/(pi*τ)*sqrt(Mb^2+Mt^2))^(1/3) or Diameter of Crankshaft at Crank-web Joint = (16/(pi*Shear Stress in Shaft at Crank-web Joint)*sqrt(Resultant Bending Moment at Crank-web Joint^2+Torsional Moment at Crank-web Joint^2))^(1/3). Shear Stress in Shaft at Crank-web Joint is the amount of shear force applied throughout the cross-sectional area of crankshaft near the juncture of crank-web, due to the applied bending moment, Resultant Bending Moment at Crank-web Joint is the net internal distribution of force induced at juncture of crank-web and crankshaft due to tangential and radial force on crankpin & Torsional Moment at Crank-web Joint refers to the twisting force acting at the point on the circumference where the crank-web meets the crankshaft, due to the forces acting on the crankpin.
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 is the distance measured through the center of the crankshaft around it's circumference at the juncture of crank-web and crankshaft. Determining the shaft diameter considering maximum torque applied on the shaft and bending moments produced at the juncture of crank-web and crankshaft due to the engine forces is crucial for designing perspective to avoid yielding or fatigue failure is calculated using Diameter of Crankshaft at Crank-web Joint = (16/(pi*Shear Stress in Shaft at Crank-web Joint)*sqrt(Resultant Bending Moment at Crank-web Joint^2+Torsional Moment at Crank-web 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 Crank-web Joint (τ), Resultant Bending Moment at Crank-web Joint (Mb) & Torsional Moment at Crank-web Joint (Mt). With our tool, you need to enter the respective value for Shear Stress in Shaft at Crank-web Joint, Resultant Bending Moment at Crank-web Joint & Torsional Moment at Crank-web 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 Diameter of Crankshaft at Crank-web Joint?
In this formula, Diameter of Crankshaft at Crank-web Joint uses Shear Stress in Shaft at Crank-web Joint, Resultant Bending Moment at Crank-web Joint & Torsional Moment at Crank-web Joint. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Diameter of Crankshaft at Crank-web Joint = (16/(pi*Shear Stress in Shaft at Crank-web Joint)*sqrt(Horizontal Bending Moment at Crank-web Joint^2+Vertical Bending Moment at Crank-web Joint^2+(Tangential Force at Crankpin*Distance Between Crank Pin and Crankshaft)^2))^(1/3)
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