Inertia Force on Bolts of Connecting Rod Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
Pi = mr*ω^2*rc*(cos(θ)+cos(2*θ)/n)
This formula uses 1 Functions, 6 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
Inertia Force on Bolts of Connecting Rod - (Measured in Newton) - Inertia force on bolts of connecting rod is the force acting on the bolts of the connecting rod and cap joint due to the force on the piston head and its reciprocation.
Mass of Reciprocating Parts in Engine Cylinder - (Measured in Kilogram) - Mass of reciprocating parts in engine cylinder is the total mass of the reciprocating parts in an engine cylinder.
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.
Crank Angle - (Measured in Radian) - Crank Angle refers to the position of an engine's crankshaft in relation to the piston as it travels inside of the cylinder wall.
Ratio of Length of Connecting Rod to Crank Length - Ratio of Length of Connecting Rod to Crank Length, denoted as "n", influencing engine performance and characteristics.
STEP 1: Convert Input(s) to Base Unit
Mass of Reciprocating Parts in Engine Cylinder: 18.80137 Kilogram --> 18.80137 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)
Crank Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion ​here)
Ratio of Length of Connecting Rod to Crank Length: 1.9 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pi = mr*ω^2*rc*(cos(θ)+cos(2*θ)/n) --> 18.80137*52.35^2*0.1375*(cos(0.5235987755982)+cos(2*0.5235987755982)/1.9)
Evaluating ... ...
Pi = 8000.00046691146
STEP 3: Convert Result to Output's Unit
8000.00046691146 Newton --> No Conversion Required
FINAL ANSWER
8000.00046691146 8000 Newton <-- Inertia Force on Bolts of Connecting Rod
(Calculation completed in 00.020 seconds)

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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

Inertia Force on Bolts of Connecting Rod Formula

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)
Pi = mr*ω^2*rc*(cos(θ)+cos(2*θ)/n)

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.

Connecting Rod Assembly

A connecting rod for an internal combustion engine consists of the 'big end', 'rod', and 'small end' (or 'little end'). The small end attaches to the gudgeon pin (also called 'piston pin' or 'wrist pin'), which can swivel in the piston. Typically, the big end connects to the crankpin using a plain bearing to reduce friction; however, some smaller engines may instead use a rolling-element bearing, in order to avoid the need for a pumped lubrication system. Typically there is a pinhole bored through the bearing on the big end of the connecting rod so that lubricating oil squirts out onto the thrust side of the cylinder wall to lubricate the travel of the pistons and piston rings. A connecting rod can rotate at both ends so that the angle between the connecting rod and the piston can change as the rod moves up and down and rotates around the crankshaft.

How to Calculate Inertia Force on Bolts of Connecting Rod?

Inertia Force on Bolts of Connecting Rod calculator uses 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) to calculate the Inertia Force on Bolts of Connecting Rod, Inertia Force on Bolts of Connecting Rod is the force acting on the bolts of the connecting rod and cap joint due to the force on the piston head and its reciprocation. Inertia Force on Bolts of Connecting Rod is denoted by Pi symbol.

How to calculate Inertia Force on Bolts of Connecting Rod using this online calculator? To use this online calculator for Inertia Force on Bolts of Connecting Rod, enter Mass of Reciprocating Parts in Engine Cylinder (mr), Angular Velocity of Crank (ω), Crank Radius of Engine (rc), Crank Angle (θ) & Ratio of Length of Connecting Rod to Crank Length (n) and hit the calculate button. Here is how the Inertia Force on Bolts of Connecting Rod calculation can be explained with given input values -> 1063.752 = 18.80137*52.35^2*0.1375*(cos(0.5235987755982)+cos(2*0.5235987755982)/1.9).

FAQ

What is Inertia Force on Bolts of Connecting Rod?
Inertia Force on Bolts of Connecting Rod is the force acting on the bolts of the connecting rod and cap joint due to the force on the piston head and its reciprocation and is represented as Pi = mr*ω^2*rc*(cos(θ)+cos(2*θ)/n) or 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). Mass of reciprocating parts in engine cylinder is the total mass of the reciprocating parts in an engine cylinder, 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, Crank Angle refers to the position of an engine's crankshaft in relation to the piston as it travels inside of the cylinder wall & Ratio of Length of Connecting Rod to Crank Length, denoted as "n", influencing engine performance and characteristics.
How to calculate Inertia Force on Bolts of Connecting Rod?
Inertia Force on Bolts of Connecting Rod is the force acting on the bolts of the connecting rod and cap joint due to the force on the piston head and its reciprocation is calculated using 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). To calculate Inertia Force on Bolts of Connecting Rod, you need Mass of Reciprocating Parts in Engine Cylinder (mr), Angular Velocity of Crank (ω), Crank Radius of Engine (rc), Crank Angle (θ) & Ratio of Length of Connecting Rod to Crank Length (n). With our tool, you need to enter the respective value for Mass of Reciprocating Parts in Engine Cylinder, Angular Velocity of Crank, Crank Radius of Engine, Crank Angle & Ratio of Length of Connecting Rod to Crank Length 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 Inertia Force on Bolts of Connecting Rod?
In this formula, Inertia Force on Bolts of Connecting Rod uses Mass of Reciprocating Parts in Engine Cylinder, Angular Velocity of Crank, Crank Radius of Engine, Crank Angle & Ratio of Length of Connecting Rod to Crank Length. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Inertia Force on Bolts of Connecting Rod = pi*Core Diameter of Big End Bolt^2*Permissible Tensile Stress/2
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