Thickness of Big End Cap of Connecting Rod given Bending Stress in Cap Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
tc = sqrt(Pi*l/(bc*σbbig))
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
Thickness of Big End Cap - (Measured in Meter) - Thickness of Big End Cap is the thickness of the big end cap of the connecting rod.
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.
Span Length of Big End Cap - (Measured in Meter) - Span Length of Big End Cap of a connecting rod is the distance between the bolt centers of the bolts used for fastening the big end cap.
Width of Big End Cap - (Measured in Meter) - Width of Big End Cap is the width of the big end cap of the connecting rod.
Bending Stress in Big End of Connecting Rod - (Measured in Pascal) - Bending Stress in Big End of Connecting Rod is the stress induced in the big end cap of a connecting rod when an external force or moment is applied to the element, causing the element to bend.
STEP 1: Convert Input(s) to Base Unit
Inertia Force on Bolts of Connecting Rod: 8000 Newton --> 8000 Newton No Conversion Required
Span Length of Big End Cap: 80 Millimeter --> 0.08 Meter (Check conversion ​here)
Width of Big End Cap: 76.62835 Millimeter --> 0.07662835 Meter (Check conversion ​here)
Bending Stress in Big End of Connecting Rod: 58 Newton per Square Millimeter --> 58000000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
tc = sqrt(Pi*l/(bc*σbbig)) --> sqrt(8000*0.08/(0.07662835*58000000))
Evaluating ... ...
tc = 0.012000000195
STEP 3: Convert Result to Output's Unit
0.012000000195 Meter -->12.000000195 Millimeter (Check conversion ​here)
FINAL ANSWER
12.000000195 12 Millimeter <-- Thickness of Big End Cap
(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 Connected 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 Maximum 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 Connected 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

Thickness of Big End Cap of Connecting Rod given Bending Stress in Cap Formula

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))
tc = sqrt(Pi*l/(bc*σbbig))

Determination of thickness of cap

The thickness of the big end cap (tc) may be determined by treating the cap as a beam freely supported at the cap bolt centers and loaded by the inertia force at the top dead center on the exhaust stroke. This load is assumed to act in between the uniformly distributed load and the centrally concentrated load

How to Calculate Thickness of Big End Cap of Connecting Rod given Bending Stress in Cap?

Thickness of Big End Cap of Connecting Rod given Bending Stress in Cap calculator uses 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)) to calculate the Thickness of Big End Cap, Thickness of big end cap of connecting rod given bending stress in cap is the thickness of the big end cap of the connecting rod. Thickness of Big End Cap is denoted by tc symbol.

How to calculate Thickness of Big End Cap of Connecting Rod given Bending Stress in Cap using this online calculator? To use this online calculator for Thickness of Big End Cap of Connecting Rod given Bending Stress in Cap, enter Inertia Force on Bolts of Connecting Rod (Pi), Span Length of Big End Cap (l), Width of Big End Cap (bc) & Bending Stress in Big End of Connecting Rod (σbbig) and hit the calculate button. Here is how the Thickness of Big End Cap of Connecting Rod given Bending Stress in Cap calculation can be explained with given input values -> 12049.5 = sqrt(8000*0.08/(0.07662835*58000000)).

FAQ

What is Thickness of Big End Cap of Connecting Rod given Bending Stress in Cap?
Thickness of big end cap of connecting rod given bending stress in cap is the thickness of the big end cap of the connecting rod and is represented as tc = sqrt(Pi*l/(bc*σbbig)) or 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)). 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, Span Length of Big End Cap of a connecting rod is the distance between the bolt centers of the bolts used for fastening the big end cap, Width of Big End Cap is the width of the big end cap of the connecting rod & Bending Stress in Big End of Connecting Rod is the stress induced in the big end cap of a connecting rod when an external force or moment is applied to the element, causing the element to bend.
How to calculate Thickness of Big End Cap of Connecting Rod given Bending Stress in Cap?
Thickness of big end cap of connecting rod given bending stress in cap is the thickness of the big end cap of the connecting rod is calculated using 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)). To calculate Thickness of Big End Cap of Connecting Rod given Bending Stress in Cap, you need Inertia Force on Bolts of Connecting Rod (Pi), Span Length of Big End Cap (l), Width of Big End Cap (bc) & Bending Stress in Big End of Connecting Rod (σbbig). With our tool, you need to enter the respective value for 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 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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