Diameter of side crankshaft at juncture of crankweb for max torque 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(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)
d = (16/(pi*τ)*sqrt(Mbh^2+Mbv^2+(Pt*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 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.
Horizontal Bending Moment at Crank-web Joint - (Measured in Newton Meter) - Horizontal Bending Moment at Crank-web Joint is the internal bending force acting in the horizontal plane at juncture of crank-web and crankshaft due to tangential force applied on crank-pin.
Vertical Bending Moment at Crank-web Joint - (Measured in Newton Meter) - Vertical Bending Moment at Crank-web Joint is the bending force acting in the vertical plane at juncture of crank-web and crankshaft, due to radial force applied on crank-pin.
Tangential Force at Crankpin - (Measured in Newton) - Tangential Force at Crankpin 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 measured between the center of the crank pin and the center of the crankshaft.
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)
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 Crankpin: 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 = (16/(pi*τ)*sqrt(Mbh^2+Mbv^2+(Pt*r)^2))^(1/3) --> (16/(pi*57382000)*sqrt(29.8^2+316.625^2+(80*0.075)^2))^(1/3)
Evaluating ... ...
d = 0.0304493004760827
STEP 3: Convert Result to Output's Unit
0.0304493004760827 Meter -->30.4493004760827 Millimeter (Check conversion ​here)
FINAL ANSWER
30.4493004760827 30.4493 Millimeter <-- Diameter of Crankshaft at Crank-web Joint
(Calculation completed in 00.020 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 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)
Shear stress in side-crankshaft at juncture of crankweb for max torque
​ Go Shear Stress in Shaft at Crank-web Joint = 16/(pi*Diameter of Crankshaft at Crank-web Joint^3)*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)
Resultant bending moment in side-crankshaft at juncture of crankweb for max torque
​ Go Resultant Bending Moment at Crank-web Joint = sqrt((Tangential Force at Crankpin*(0.75*Length of Crankpin+Thickness of Crank Web))^2+(Radial Force at Crank Pin*(0.75*Length of Crankpin+Thickness of Crank Web))^2)
Diameter of side-crankshaft at juncture of crankweb for max torque given moments
​ 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)
Shear stress in side-crankshaft at juncture of crankweb for max torque given moments
​ Go Shear Stress in Shaft at Crank-web Joint = 16/(pi*Diameter of Crankshaft at Crank-web Joint^3)*sqrt(Resultant Bending Moment at Crank-web Joint^2+Torsional Moment at Crank-web Joint^2)
Resultant bending moment in side crankshaft at juncture of crankweb for max torque given moments
​ 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
​ 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
​ 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
​ 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 Formula

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)
d = (16/(pi*τ)*sqrt(Mbh^2+Mbv^2+(Pt*r)^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?

Diameter of side crankshaft at juncture of crankweb for max torque calculator uses 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) to calculate the Diameter of Crankshaft at Crank-web Joint, Diameter of side crankshaft at juncture of crankweb for max torque 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 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 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 Crank-web Joint (τ), Horizontal Bending Moment at Crank-web Joint (Mbh), Vertical Bending Moment at Crank-web Joint (Mbv), Tangential Force at Crankpin (Pt) & 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 -> 30449.3 = (16/(pi*57382000)*sqrt(29.8^2+316.625^2+(80*0.075)^2))^(1/3).

FAQ

What is Diameter of side crankshaft at juncture of crankweb for max torque?
Diameter of side crankshaft at juncture of crankweb for max torque 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 is crucial for designing perspective, to avoid yielding or fatigue failure and is represented as d = (16/(pi*τ)*sqrt(Mbh^2+Mbv^2+(Pt*r)^2))^(1/3) or 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). 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, Horizontal Bending Moment at Crank-web Joint is the internal bending force acting in the horizontal plane at juncture of crank-web and crankshaft due to tangential force applied on crank-pin, Vertical Bending Moment at Crank-web Joint is the bending force acting in the vertical plane at juncture of crank-web and crankshaft, due to radial force applied on crank-pin, Tangential Force at Crankpin 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 measured between the center of the crank pin and the center of the 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 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 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(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). To calculate Diameter of side crankshaft at juncture of crankweb for max torque, you need Shear Stress in Shaft at Crank-web Joint (τ), Horizontal Bending Moment at Crank-web Joint (Mbh), Vertical Bending Moment at Crank-web Joint (Mbv), Tangential Force at Crankpin (Pt) & Distance Between Crank Pin and Crankshaft (r). With our tool, you need to enter the respective value for Shear Stress in Shaft at Crank-web Joint, Horizontal Bending Moment at Crank-web Joint, Vertical Bending Moment at Crank-web Joint, Tangential Force at Crankpin & 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 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, Horizontal Bending Moment at Crank-web Joint, Vertical Bending Moment at Crank-web Joint, Tangential Force at Crankpin & Distance Between Crank Pin and Crankshaft. 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(Resultant Bending Moment at Crank-web Joint^2+Torsional Moment at Crank-web Joint^2))^(1/3)
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