Maximum Inertia Force on Bolts of Connecting Rod given Permissible Tensile Stress of Bolts Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inertia Force on Bolts of Connecting Rod = pi*Core Diameter of Big End Bolt^2*Permissible tensile stress/2
Pi = pi*dc^2*σt/2
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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.
Core Diameter of Big End Bolt - (Measured in Meter) - Core Diameter of Big End Bolt is defined as the smallest diameter of the thread of the bolt at the big end of the connecting rod.
Permissible tensile stress - (Measured in Pascal) - Permissible tensile stress is the yield strength divided by the factor of safety or the amount of stress that the part can handle without failure.
STEP 1: Convert Input(s) to Base Unit
Core Diameter of Big End Bolt: 8.5 Millimeter --> 0.0085 Meter (Check conversion here)
Permissible tensile stress: 90 Newton per Square Millimeter --> 90000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pi = pi*dc^2*σt/2 --> pi*0.0085^2*90000000/2
Evaluating ... ...
Pi = 10214.1031149838
STEP 3: Convert Result to Output's Unit
10214.1031149838 Newton --> No Conversion Required
FINAL ANSWER
10214.1031149838 10214.1 Newton <-- Inertia Force on Bolts of Connecting Rod
(Calculation completed in 00.004 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)
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 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*(1+1/Ratio of length of connecting rod to crank length)
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
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
Span Length of Big End Cap of Connecting Rod
Go Span Length of Big End Cap = Diameter of Crank Pin+2*Thickness of Bush+Nominal Bolt Diameter+0.003
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 Inertia Force on Bolts of Connecting Rod given Permissible Tensile Stress of Bolts Formula

Inertia Force on Bolts of Connecting Rod = pi*Core Diameter of Big End Bolt^2*Permissible tensile stress/2
Pi = pi*dc^2*σt/2

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 moving 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 Maximum Inertia Force on Bolts of Connecting Rod given Permissible Tensile Stress of Bolts?

Maximum Inertia Force on Bolts of Connecting Rod given Permissible Tensile Stress of Bolts calculator uses Inertia Force on Bolts of Connecting Rod = pi*Core Diameter of Big End Bolt^2*Permissible tensile stress/2 to calculate the Inertia Force on Bolts of Connecting Rod, Maximum Inertia force on bolts of connecting rod given permissible tensile stress of bolts is the maximum 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 Maximum Inertia Force on Bolts of Connecting Rod given Permissible Tensile Stress of Bolts using this online calculator? To use this online calculator for Maximum Inertia Force on Bolts of Connecting Rod given Permissible Tensile Stress of Bolts, enter Core Diameter of Big End Bolt (dc) & Permissible tensile stress t) and hit the calculate button. Here is how the Maximum Inertia Force on Bolts of Connecting Rod given Permissible Tensile Stress of Bolts calculation can be explained with given input values -> 10214.1 = pi*0.0085^2*90000000/2.

FAQ

What is Maximum Inertia Force on Bolts of Connecting Rod given Permissible Tensile Stress of Bolts?
Maximum Inertia force on bolts of connecting rod given permissible tensile stress of bolts is the maximum 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 = pi*dc^2*σt/2 or Inertia Force on Bolts of Connecting Rod = pi*Core Diameter of Big End Bolt^2*Permissible tensile stress/2. Core Diameter of Big End Bolt is defined as the smallest diameter of the thread of the bolt at the big end of the connecting rod & Permissible tensile stress is the yield strength divided by the factor of safety or the amount of stress that the part can handle without failure.
How to calculate Maximum Inertia Force on Bolts of Connecting Rod given Permissible Tensile Stress of Bolts?
Maximum Inertia force on bolts of connecting rod given permissible tensile stress of bolts is the maximum 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 = pi*Core Diameter of Big End Bolt^2*Permissible tensile stress/2. To calculate Maximum Inertia Force on Bolts of Connecting Rod given Permissible Tensile Stress of Bolts, you need Core Diameter of Big End Bolt (dc) & Permissible tensile stress t). With our tool, you need to enter the respective value for Core Diameter of Big End Bolt & Permissible tensile stress 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 Core Diameter of Big End Bolt & Permissible tensile stress. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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)
  • 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)
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