Length of crankpin given bending stress in central plane of crankweb Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Crank Pin = ((((Bending Stress in Crankweb*Thickness of Crank Web^2*Width of Crank Web)/6)/Force on Crankweb)-(0.5*Thickness of Crank Web))/0.75
lc = ((((σbweb*t^2*w)/6)/Pweb)-(0.5*t))/0.75
This formula uses 5 Variables
Variables Used
Length of Crank Pin - (Measured in Meter) - Length of Crank Pin is the size of the crankpin from one end to the other and tells how long is the crankpin.
Bending Stress in Crankweb - (Measured in Pascal) - Bending Stress in Crankweb is the bending stress in the crank web due to the bending moment acting onto the crank web.
Thickness of Crank Web - (Measured in Meter) - Thickness of Crank Web is defined as the thickness of the crank web (the portion of a crank between the crankpin and the shaft) measured parallel to the crankpin longitudinal axis.
Width of Crank Web - (Measured in Meter) - Width of Crank Web is defined as the width of the crank web (the portion of a crank between the crankpin and the shaft) measured perpendicular to the crankpin longitudinal axis.
Force on Crankweb - (Measured in Newton) - Force on Crankweb is the force acting onto the crankweb used in assembly of crankshaft & connecting rod, converts reciprocation of piston to rotation of crankshaft.
STEP 1: Convert Input(s) to Base Unit
Bending Stress in Crankweb: 30 Newton per Square Millimeter --> 30000000 Pascal (Check conversion here)
Thickness of Crank Web: 40 Millimeter --> 0.04 Meter (Check conversion here)
Width of Crank Web: 65 Millimeter --> 0.065 Meter (Check conversion here)
Force on Crankweb: 6500 Newton --> 6500 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
lc = ((((σbweb*t^2*w)/6)/Pweb)-(0.5*t))/0.75 --> ((((30000000*0.04^2*0.065)/6)/6500)-(0.5*0.04))/0.75
Evaluating ... ...
lc = 0.08
STEP 3: Convert Result to Output's Unit
0.08 Meter -->80 Millimeter (Check conversion here)
FINAL ANSWER
80 Millimeter <-- Length of Crank Pin
(Calculation completed in 00.004 seconds)

Credits

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore
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9 Design of Crank Web at Top Dead Centre Position Calculators

Bending stress in central plane of crankweb
Go Bending Stress in Crankweb = (6*(Force on Crankweb*((Length of Crank Pin*0.75 )+(Thickness of Crank Web/2))))/(Thickness of Crank Web^2*Width of Crank Web)
Length of crankpin given bending stress in central plane of crankweb
Go Length of Crank Pin = ((((Bending Stress in Crankweb*Thickness of Crank Web^2*Width of Crank Web)/6)/Force on Crankweb)-(0.5*Thickness of Crank Web))/0.75
Thickness of crankweb given bending moment at bearing 1 of side crankshaft at TDC position
Go Thickness of Crank Web = (Bending Moment at Bearing1 of Crankshaft/Force on Crank Pin)-(0.75*Length of Crank Pin)-(0.5*Length of Bearing1 of Crankshaft)
Total compressive stress in central plane of crankweb of side crankshaft at TDC position
Go Compressive Stress in Crank Web Central Plane = (Force on Crankweb/(Width of Crank Web*Thickness of Crank Web))+(Bending Stress in Crankweb)
Bending stress in central plane of crankweb given bending moment
Go Bending Stress in Crankweb = (6*Bending Moment at Central Plane of Crank Web)/(Thickness of Crank Web^2*Width of Crank Web)
Thickness of crankweb given bending moment in central plane of crankweb
Go Thickness of Crank Web = ((Bending Moment at Central Plane of Crank Web/Force on Crankweb)-(0.75*Length of Crank Pin))/0.5
Length of crankpin given bending moment in central plane of crankweb
Go Length of Crank Pin = ((Bending Moment at Central Plane of Crank Web/Force on Crankweb)-(0.5*Thickness of Crank Web))/0.75
Bending moment in central plane of crankweb
Go Bending Moment at Central Plane of Crank Web = Force on Crankweb*((Length of Crank Pin*0.75 )+(Thickness of Crank Web/2))
Direct compressive stress in central plane of crankweb of side crankshaft at TDC Position
Go Direct Compressive Stress in crankweb = Force on Crankweb/(Width of Crank Web*Thickness of Crank Web)

Length of crankpin given bending stress in central plane of crankweb Formula

Length of Crank Pin = ((((Bending Stress in Crankweb*Thickness of Crank Web^2*Width of Crank Web)/6)/Force on Crankweb)-(0.5*Thickness of Crank Web))/0.75
lc = ((((σbweb*t^2*w)/6)/Pweb)-(0.5*t))/0.75

Types of Crank Shaft

There are two types of crankshafts—side crankshaft and center crankshaft. The side crankshaft is also called the ‘overhung’ crankshaft. It has only one crank web and requires only two bearings for support. It is used in medium-size engines and large-size horizontal engines. The center crankshaft has two webs and three bearings for support. It is used in radial aircraft engines, stationary engines, and marine engines. It is more popular in automotive engines. Crankshafts are also classified as single-throw and multi-throw crankshafts depending upon the number of crankpins used in the assembly. Crankshafts used in multi-cylinder engines have more than one crank pin. They are called multi-throw crankshafts.

How to Calculate Length of crankpin given bending stress in central plane of crankweb?

Length of crankpin given bending stress in central plane of crankweb calculator uses Length of Crank Pin = ((((Bending Stress in Crankweb*Thickness of Crank Web^2*Width of Crank Web)/6)/Force on Crankweb)-(0.5*Thickness of Crank Web))/0.75 to calculate the Length of Crank Pin, Length of crankpin given bending stress in central plane of crankweb is the total length of the crankpin that is used in the assembly of connecting rod with the crank. Length of Crank Pin is denoted by lc symbol.

How to calculate Length of crankpin given bending stress in central plane of crankweb using this online calculator? To use this online calculator for Length of crankpin given bending stress in central plane of crankweb, enter Bending Stress in Crankweb bweb), Thickness of Crank Web (t), Width of Crank Web (w) & Force on Crankweb (Pweb) and hit the calculate button. Here is how the Length of crankpin given bending stress in central plane of crankweb calculation can be explained with given input values -> 80000 = ((((30000000*0.04^2*0.065)/6)/6500)-(0.5*0.04))/0.75.

FAQ

What is Length of crankpin given bending stress in central plane of crankweb?
Length of crankpin given bending stress in central plane of crankweb is the total length of the crankpin that is used in the assembly of connecting rod with the crank and is represented as lc = ((((σbweb*t^2*w)/6)/Pweb)-(0.5*t))/0.75 or Length of Crank Pin = ((((Bending Stress in Crankweb*Thickness of Crank Web^2*Width of Crank Web)/6)/Force on Crankweb)-(0.5*Thickness of Crank Web))/0.75. Bending Stress in Crankweb is the bending stress in the crank web due to the bending moment acting onto the crank web, Thickness of Crank Web is defined as the thickness of the crank web (the portion of a crank between the crankpin and the shaft) measured parallel to the crankpin longitudinal axis, Width of Crank Web is defined as the width of the crank web (the portion of a crank between the crankpin and the shaft) measured perpendicular to the crankpin longitudinal axis & Force on Crankweb is the force acting onto the crankweb used in assembly of crankshaft & connecting rod, converts reciprocation of piston to rotation of crankshaft.
How to calculate Length of crankpin given bending stress in central plane of crankweb?
Length of crankpin given bending stress in central plane of crankweb is the total length of the crankpin that is used in the assembly of connecting rod with the crank is calculated using Length of Crank Pin = ((((Bending Stress in Crankweb*Thickness of Crank Web^2*Width of Crank Web)/6)/Force on Crankweb)-(0.5*Thickness of Crank Web))/0.75. To calculate Length of crankpin given bending stress in central plane of crankweb, you need Bending Stress in Crankweb bweb), Thickness of Crank Web (t), Width of Crank Web (w) & Force on Crankweb (Pweb). With our tool, you need to enter the respective value for Bending Stress in Crankweb, Thickness of Crank Web, Width of Crank Web & Force on Crankweb 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 Length of Crank Pin?
In this formula, Length of Crank Pin uses Bending Stress in Crankweb, Thickness of Crank Web, Width of Crank Web & Force on Crankweb. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Length of Crank Pin = ((Bending Moment at Central Plane of Crank Web/Force on Crankweb)-(0.5*Thickness of Crank Web))/0.75
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