Whipping Stress in Connecting Rod of I Cross Section Calculator

✖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.ⓘ Mass of Connecting Rod [m_c]			+10% -10%
✖Angular velocity of crank is the angular speed of the crank or the rotational speed of the crank.ⓘ Angular Velocity of Crank [ω]			+10% -10%
✖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.ⓘ Crank Radius of Engine [r_c]			+10% -10%
✖Length of the connecting rod is the total length of the connecting rod used in an IC Engine.ⓘ Length of the Connecting Rod [L_C]			+10% -10%
✖Thickness of flange and web of I section is the thickness of horizontal and vertical parts of an I section beam or a bar.ⓘ Thickness of Flange And Web of I Section [t]			+10% -10%

✖Whipping Stress is the bending stress due to inertia forces on a body.ⓘ Whipping Stress in Connecting Rod of I Cross Section [σ_b]

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Formula

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Whipping Stress in Connecting Rod of I Cross Section

Formula

`"σ"_{"b"} = "m"_{"c"}*"ω"^2*"r"_{"c"}*"L"_{"C"}*4.593/(1000*"t"^3)`

Example

`"1.108757N/mm²"="1.6kg"*("52.35rad/s")^2*"137.5mm"*"205mm"*4.593/(1000*("8mm")^3)`

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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)
σ_b = m_c*ω^2*r_c*L_C*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 is the angular speed of the crank or the rotational speed of the crank.
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: 52.35 Radian per Second --> 52.35 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

σ_b = m_c*ω^2*r_c*L_C*4.593/(1000*t^3) --> 1.6*52.35^2*0.1375*0.205*4.593/(1000*0.008^3)

Evaluating ... ...

σ_b = 1108757.06034521

STEP 3: Convert Result to Output's Unit

1108757.06034521 Pascal -->1.10875706034521 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

1.10875706034521 ≈ 1.108757 Newton per Square Millimeter <-- Whipping Stress

(Calculation completed in 00.004 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Connecting Rod » Buckling in Connecting Rod » Whipping Stress in Connecting Rod of I Cross Section

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Created by Saurabh Patil

Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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National Institute Of Technology (NIT), Hamirpur

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< 11 Buckling in Connecting Rod Calculators

Critical Buckling Load on Connecting Rod by Rankine Formula

Go Critical Buckling Load on Connecting Rod = Compressive Yield Stress*Cross Sectional Area of Connecting Rod/(1+Constant Used in Buckling Load Formula*(Length of the Connecting Rod/Radius of Gyration of I Section About XX Axis)^2)

Whipping Stress in Connecting Rod of I Cross Section

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)

Critical Buckling Load on Steel Connecting Rod given Thickness of Flange or Web of Connecting Rod

Go Critical Buckling Load on Steel Connecting Rod = (261393*Compressive Yield Stress*Thickness of Flange And Web of I Section^4)/(23763*Thickness of Flange And Web of I Section^2+Length of the Connecting Rod)

Maximum Force Acting on Connecting Rod given Maximum Gas Pressure

Go Force on Connecting Rod = pi*Inner Diameter of Engine Cylinder^2*Maximum Pressure in Engine Cylinder/4

Force Acting on Connecting Rod

Go Force on Connecting Rod = Force on Piston Head/cos(Inclination of Connecting Rod With Line of Stroke)

Area Moment of Inertia for Connecting Rod Cross Section

Go Area Moment of Inertia For Connecting Rod = Cross Sectional Area of Connecting Rod*Radius of Gyration For Connecting Rod^2

Critical Buckling Load on Connecting Rod Considering Factor of Safety

Go Critical Buckling Load on Connecting Rod = Force on Connecting Rod*Factor of Safety For Connecting Rod

Radius of Gyration of I Cross Section about yy Axis

Go Radius of Gyration of I Section About YY Axis = 0.996*Thickness of Flange And Web of I Section

Radius of Gyration of I Cross Section about xx Axis

Go Radius of Gyration of I Section About XX Axis = 1.78*Thickness of Flange And Web of I Section

Height of Cross Section of Connecting Rod at Middle Section

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

Go Width of Connecting Rod = 4*Thickness of Flange And Web of I Section

Whipping Stress in Connecting Rod of I Cross Section Formula

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 σ_b 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 (m_c), Angular Velocity of Crank (ω), Crank Radius of Engine (r_c), Length of the Connecting Rod (L_C) & 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*52.35^2*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 σ_b = m_c*ω^2*r_c*L_C*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 is the angular speed of the crank or the rotational speed of the crank, 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 (m_c), Angular Velocity of Crank (ω), Crank Radius of Engine (r_c), Length of the Connecting Rod (L_C) & 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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