Maximum Bending Moment on Connecting Rod Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bending moment on connecting rod = Mass of Connecting Rod*Angular Velocity of Crank^2*Crank Radius of Engine*Length of the Connecting Rod/(9*sqrt(3))
Mbcon = mc*ω^2*rc*LC/(9*sqrt(3))
This formula uses 1 Functions, 5 Variables
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
Bending moment on connecting rod - (Measured in Newton Meter) - Bending moment on connecting rod is the reaction induced in a connecting rod when an external force or moment is applied to the element, causing the element to bend.
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.
STEP 1: Convert Input(s) to Base Unit
Mass of Connecting Rod: 0.015589 Kilogram --> 0.015589 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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Mbcon = mc*ω^2*rc*LC/(9*sqrt(3)) --> 0.015589*52.35^2*0.1375*0.205/(9*sqrt(3))
Evaluating ... ...
Mbcon = 0.0772511674723335
STEP 3: Convert Result to Output's Unit
0.0772511674723335 Newton Meter -->77.2511674723335 Newton Millimeter (Check conversion here)
FINAL ANSWER
77.2511674723335 77.25117 Newton Millimeter <-- Bending moment on connecting rod
(Calculation completed in 00.004 seconds)

Credits

Created by Saurabh Patil
Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore
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11 Big End Cap and Bolt Calculators

Inertia Force on Bolts of Connecting Rod
Go Inertia Force on Bolts of Connecting Rod = Mass of Reciprocating Parts in Engine Cylinder*Angular Velocity of Crank^2*Crank Radius of Engine*(cos(Crank Angle)+cos(2*Crank Angle)/Ratio of Length of Connecting Rod to Crank Length)
Maximum Inertia Force on Bolts of Connecting Rod
Go Max Inertia Force on Bolts of Connecting Rod = Mass of Reciprocating Parts in Engine Cylinder*Angular Velocity of Crank^2*Crank Radius of Engine*(1+1/Ratio of Length of Connecting Rod to Crank Length)
Thickness of Big End Cap of Connecting Rod given Bending Stress in Cap
Go Thickness of Big End Cap = sqrt(Inertia Force on Bolts of Connecting Rod*Span Length of Big End Cap/(Width of Big End Cap*Bending Stress in Big end of Connecting Rod))
Maximum Bending Moment on Connecting Rod
Go Bending moment on connecting rod = Mass of Connecting Rod*Angular Velocity of Crank^2*Crank Radius of Engine*Length of the Connecting Rod/(9*sqrt(3))
Width of Big End Cap of Connecting Rod given Bending Stress in Cap
Go Width of Big End Cap = Inertia Force on Bolts of Connecting Rod*Span Length of Big End Cap/(Thickness of Big End Cap^2*Bending Stress in Big end of Connecting Rod)
Maximum Bending Stress in Big End Cap of Connecting Rod
Go Bending Stress in Big end of Connecting Rod = Inertia Force on Bolts of Connecting Rod*Span Length of Big End Cap/(Thickness of Big End Cap^2*Width of Big End Cap)
Core Diameter of Bolts of Big End Cap of Connecting Rod
Go Core Diameter of Big End Bolt = sqrt(2*Inertia Force on Bolts of Connecting Rod/(pi*Permissible Tensile Stress))
Mass of Connecting Rod
Go Mass of Connecting Rod = Cross Sectional Area of Connecting Rod*Density of connecting rod material*Length of the Connecting Rod
Span Length of Big End Cap of Connecting Rod
Go Span Length of Big End Cap = Density of connecting rod material+2*Thickness of Bush+Nominal Bolt Diameter+0.003
Maximum Inertia Force on Bolts of Connecting Rod given Permissible Tensile Stress of Bolts
Go Inertia Force on Bolts of Connecting Rod = pi*Core Diameter of Big End Bolt^2*Permissible Tensile Stress/2
Bending Moment on Big End Cap of Connecting Rod
Go Bending Moment on Big End of Connecting Rod = Inertia Force on Bolts of Connecting Rod*Span Length of Big End Cap/6

Maximum Bending Moment on Connecting Rod Formula

Bending moment on connecting rod = Mass of Connecting Rod*Angular Velocity of Crank^2*Crank Radius of Engine*Length of the Connecting Rod/(9*sqrt(3))
Mbcon = mc*ω^2*rc*LC/(9*sqrt(3))

Failure of Connecting Rod

During each rotation of the crankshaft, a connecting rod is often subject to large and repetitive forces: shear forces due to the angle between the piston and the crankpin, compression forces as the piston moves downwards, and tensile forces as the piston move upwards. These forces are proportional to the engine speed (RPM) squared. Failure of a connecting rod often called "throwing a rod", is one of the most common causes of catastrophic engine failure in cars, frequently driving the broken rod through the side of the crankcase and thereby rendering the engine irreparable. Common causes of connecting rod failure are tensile failure from high engine speeds, the impact force when the piston hits a valve (due to a valvetrain problem), rod bearing failure (usually due to a lubrication problem), or incorrect installation of the connecting rod.

How to Calculate Maximum Bending Moment on Connecting Rod?

Maximum Bending Moment on Connecting Rod calculator uses Bending moment on connecting rod = Mass of Connecting Rod*Angular Velocity of Crank^2*Crank Radius of Engine*Length of the Connecting Rod/(9*sqrt(3)) to calculate the Bending moment on connecting rod, Maximum bending moment on connecting rod is the maximum amount of bending moment acting onto the connecting rod of an IC Engine. Bending moment on connecting rod is denoted by Mbcon symbol.

How to calculate Maximum Bending Moment on Connecting Rod using this online calculator? To use this online calculator for Maximum Bending Moment on Connecting Rod, enter Mass of Connecting Rod (mc), Angular Velocity of Crank (ω), Crank Radius of Engine (rc) & Length of the Connecting Rod (LC) and hit the calculate button. Here is how the Maximum Bending Moment on Connecting Rod calculation can be explained with given input values -> 77251.17 = 0.015589*52.35^2*0.1375*0.205/(9*sqrt(3)).

FAQ

What is Maximum Bending Moment on Connecting Rod?
Maximum bending moment on connecting rod is the maximum amount of bending moment acting onto the connecting rod of an IC Engine and is represented as Mbcon = mc*ω^2*rc*LC/(9*sqrt(3)) or Bending moment on connecting rod = Mass of Connecting Rod*Angular Velocity of Crank^2*Crank Radius of Engine*Length of the Connecting Rod/(9*sqrt(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.
How to calculate Maximum Bending Moment on Connecting Rod?
Maximum bending moment on connecting rod is the maximum amount of bending moment acting onto the connecting rod of an IC Engine is calculated using Bending moment on connecting rod = Mass of Connecting Rod*Angular Velocity of Crank^2*Crank Radius of Engine*Length of the Connecting Rod/(9*sqrt(3)). To calculate Maximum Bending Moment on Connecting Rod, you need Mass of Connecting Rod (mc), Angular Velocity of Crank (ω), Crank Radius of Engine (rc) & Length of the Connecting Rod (LC). 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 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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