Whipping Stress in Connecting Rod of I Cross Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
Whipping Stress = Mass of Connecting Rod*Angular Velocity of Crank^2*Crank Radius of Engine*Length of the Connecting Rod*4.593/(1000*Thickness of Flange And Web of I Section^3)
σb = mc*ω^2*rc*LC*4.593/(1000*t^3)
This formula uses 6 Variables
Variables Used
Whipping Stress - (Measured in Pascal) - Whipping Stress is the bending stress due to inertia forces on a body.
Mass of Connecting Rod - (Measured in Kilogram) - Mass of Connecting Rod is the quantitative measure of inertia, it is, in effect, the resistance that the connecting rod offers to a change in its speed or position upon the application of a force.
Angular Velocity of Crank - (Measured in Radian per Second) - Angular Velocity of Crank refers to the rate of change of angular position of connecting rod with respect to time.
Crank Radius of Engine - (Measured in Meter) - Crank Radius of Engine is the length of the crank of an engine, it is the distance between crank center and crank pin, i.e. half stroke.
Length of the Connecting Rod - (Measured in Meter) - Length of the Connecting Rod is the total length of the connecting rod used in an ic engine.
Thickness of Flange And Web of I Section - (Measured in Meter) - Thickness of Flange And Web of I Section is the thickness of horizontal and vertical parts of an I section beam or a bar.
STEP 1: Convert Input(s) to Base Unit
Mass of Connecting Rod: 1.6 Kilogram --> 1.6 Kilogram No Conversion Required
Angular Velocity of Crank: 52.35988 Radian per Second --> 52.35988 Radian per Second No Conversion Required
Crank Radius of Engine: 137.5 Millimeter --> 0.1375 Meter (Check conversion ​here)
Length of the Connecting Rod: 205 Millimeter --> 0.205 Meter (Check conversion ​here)
Thickness of Flange And Web of I Section: 8 Millimeter --> 0.008 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σb = mc*ω^2*rc*LC*4.593/(1000*t^3) --> 1.6*52.35988^2*0.1375*0.205*4.593/(1000*0.008^3)
Evaluating ... ...
σb = 1109175.61062135
STEP 3: Convert Result to Output's Unit
1109175.61062135 Pascal -->1.10917561062135 Newton per Square Millimeter (Check conversion ​here)
FINAL ANSWER
1.10917561062135 1.109176 Newton per Square Millimeter <-- Whipping Stress
(Calculation completed in 00.008 seconds)

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Created by Saurabh Patil
Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore
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Buckling in Connecting Rod Calculators

Area Moment of Inertia for Connecting Rod Cross Section
​ LaTeX ​ Go Area Moment of Inertia For Connecting Rod = Cross Sectional Area of Connecting Rod*Radius of Gyration For Connecting Rod^2
Radius of Gyration of I Cross Section about yy Axis
​ LaTeX ​ Go Radius of Gyration of I Section About YY Axis = 0.996*Thickness of Flange And Web of I Section
Height of Cross Section of Connecting Rod at Middle Section
​ LaTeX ​ Go Height of Connecting Rod at Mid Section = 5*Thickness of Flange And Web of I Section
Width of I Cross Section of Connecting Rod
​ LaTeX ​ Go Width of Connecting Rod = 4*Thickness of Flange And Web of I Section

Whipping Stress in Connecting Rod of I Cross Section Formula

​LaTeX ​Go
Whipping Stress = Mass of Connecting Rod*Angular Velocity of Crank^2*Crank Radius of Engine*Length of the Connecting Rod*4.593/(1000*Thickness of Flange And Web of I Section^3)
σb = mc*ω^2*rc*LC*4.593/(1000*t^3)

Whipping stress in connecting rod

The small end of the connecting rod is subjected to pure translation motion while the big end is subjected to pure rotary motion. The intermediate points on the connecting rod move in elliptical orbits. The lateral oscillations of the connecting rod induce inertia forces that act all along the length of the connecting rod causing bending. This type of action is called ‘whipping’. The bending stress due to inertia force is called ‘whipping stress’.

How to Calculate Whipping Stress in Connecting Rod of I Cross Section?

Whipping Stress in Connecting Rod of I Cross Section calculator uses Whipping Stress = Mass of Connecting Rod*Angular Velocity of Crank^2*Crank Radius of Engine*Length of the Connecting Rod*4.593/(1000*Thickness of Flange And Web of I Section^3) to calculate the Whipping Stress, Whipping stress in connecting rod of I cross section of Height=5t and Width=4t is the bending stress acting on the connecting rod because of the inertia forces on connecting rod. Whipping Stress is denoted by σb symbol.

How to calculate Whipping Stress in Connecting Rod of I Cross Section using this online calculator? To use this online calculator for Whipping Stress in Connecting Rod of I Cross Section, enter Mass of Connecting Rod (mc), Angular Velocity of Crank (ω), Crank Radius of Engine (rc), Length of the Connecting Rod (LC) & Thickness of Flange And Web of I Section (t) and hit the calculate button. Here is how the Whipping Stress in Connecting Rod of I Cross Section calculation can be explained with given input values -> 1.1E-6 = 1.6*52.35988^2*0.1375*0.205*4.593/(1000*0.008^3).

FAQ

What is Whipping Stress in Connecting Rod of I Cross Section?
Whipping stress in connecting rod of I cross section of Height=5t and Width=4t is the bending stress acting on the connecting rod because of the inertia forces on connecting rod and is represented as σb = mc*ω^2*rc*LC*4.593/(1000*t^3) or Whipping Stress = Mass of Connecting Rod*Angular Velocity of Crank^2*Crank Radius of Engine*Length of the Connecting Rod*4.593/(1000*Thickness of Flange And Web of I Section^3). Mass of Connecting Rod is the quantitative measure of inertia, it is, in effect, the resistance that the connecting rod offers to a change in its speed or position upon the application of a force, Angular Velocity of Crank refers to the rate of change of angular position of connecting rod with respect to time, Crank Radius of Engine is the length of the crank of an engine, it is the distance between crank center and crank pin, i.e. half stroke, Length of the Connecting Rod is the total length of the connecting rod used in an ic engine & Thickness of Flange And Web of I Section is the thickness of horizontal and vertical parts of an I section beam or a bar.
How to calculate Whipping Stress in Connecting Rod of I Cross Section?
Whipping stress in connecting rod of I cross section of Height=5t and Width=4t is the bending stress acting on the connecting rod because of the inertia forces on connecting rod is calculated using Whipping Stress = Mass of Connecting Rod*Angular Velocity of Crank^2*Crank Radius of Engine*Length of the Connecting Rod*4.593/(1000*Thickness of Flange And Web of I Section^3). To calculate Whipping Stress in Connecting Rod of I Cross Section, you need Mass of Connecting Rod (mc), Angular Velocity of Crank (ω), Crank Radius of Engine (rc), Length of the Connecting Rod (LC) & Thickness of Flange And Web of I Section (t). With our tool, you need to enter the respective value for Mass of Connecting Rod, Angular Velocity of Crank, Crank Radius of Engine, Length of the Connecting Rod & Thickness of Flange And Web of I Section 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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