Angle between connecting rod and line of dead centres Calculator

✖Crank Angle refers to the position of an engine's crankshaft in relation to the piston as it travels inside of the cylinder wall.ⓘ Crank Angle [θ]			+10% -10%
✖Ratio of length of connecting rod to crank length is denoted by the symbol n.ⓘ Ratio of length of connecting rod [n]			+10% -10%

✖Inclination of connecting rod with line of stroke is the angle of inclination of the connecting rod with the line of stroke of the piston.ⓘ Angle between connecting rod and line of dead centres [φ]

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Formula

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Angle between connecting rod and line of dead centres

Formula

`"φ" = asin(sin("θ")/"n")`

Example

`"15.5939°"=asin(sin("30°")/"1.86")`

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Angle between connecting rod and line of dead centres Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inclination of connecting rod with line of stroke = asin(sin(Crank Angle)/Ratio of length of connecting rod)
φ = asin(sin(θ)/n)
This formula uses 2 Functions, 3 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(Number)

Variables Used

Inclination of connecting rod with line of stroke - (Measured in Radian) - Inclination of connecting rod with line of stroke is the angle of inclination of the connecting rod with the line of stroke of the piston.
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 - Ratio of length of connecting rod to crank length is denoted by the symbol n.

STEP 1: Convert Input(s) to Base Unit

Crank Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Ratio of length of connecting rod: 1.86 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

φ = asin(sin(θ)/n) --> asin(sin(0.5235987755982)/1.86)

Evaluating ... ...

φ = 0.272164823883905

STEP 3: Convert Result to Output's Unit

0.272164823883905 Radian -->15.593895740472 Degree (Check conversion here)

FINAL ANSWER

15.593895740472 ≈ 15.5939 Degree <-- Inclination of connecting rod with line of stroke

(Calculation completed in 00.004 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Crankshaft » Design of Centre Crankshaft » Force on Crank Pin at Angle of Maximum Torque » Angle between connecting rod and line of dead centres

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Created by Saurabh Patil

Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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< 8 Force on Crank Pin at Angle of Maximum Torque Calculators

Force on connecting rod given tangential component of force at crankpin

Go Force on connecting rod = (Tangential Force at Crank Pin)/(sin(Inclination of connecting rod with line of stroke+Crank Angle))

Tangential component of force at crank pin given force on connecting rod

Go Tangential Force at Crank Pin = Force on connecting rod*(sin(Inclination of connecting rod with line of stroke+Crank Angle))

Force on connecting rod given radial component of force at crankpin

Go Force on connecting rod = (Radial Force at Crank Pin)/(cos(Inclination of connecting rod with line of stroke+Crank Angle))

Radial component of force at crank pin given force on connecting rod

Go Radial Force at Crank Pin = Force on connecting rod*(cos(Inclination of connecting rod with line of stroke+Crank Angle))

Angle between connecting rod and line of dead centres

Go Inclination of connecting rod with line of stroke = asin(sin(Crank Angle)/Ratio of length of connecting rod)

Angle between crank and line of dead centres

Go Crank Angle = asin(Ratio of length of connecting rod*sin(Inclination of connecting rod with line of stroke))

Thrust on connecting rod due to force on piston head

Go Force on connecting rod = (Force on piston head/cos(Inclination of connecting rod with line of stroke))

Force acting on piston top due to gas pressure given thrust force on connecting rod

Go Force on piston head = Force on connecting rod*cos(Inclination of connecting rod with line of stroke)

Angle between connecting rod and line of dead centres Formula

Inclination of connecting rod with line of stroke = asin(sin(Crank Angle)/Ratio of length of connecting rod)
φ = asin(sin(θ)/n)

Forces on Connecting Rod

During each rotation of the crankshaft, the 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.

How to Calculate Angle between connecting rod and line of dead centres?

Angle between connecting rod and line of dead centres calculator uses Inclination of connecting rod with line of stroke = asin(sin(Crank Angle)/Ratio of length of connecting rod) to calculate the Inclination of connecting rod with line of stroke, Angle between connecting rod and line of dead centres is the angle between the connecting rod and the line of dead centres or the line of travel of the piston. Inclination of connecting rod with line of stroke is denoted by φ symbol.

How to calculate Angle between connecting rod and line of dead centres using this online calculator? To use this online calculator for Angle between connecting rod and line of dead centres, enter Crank Angle (θ) & Ratio of length of connecting rod (n) and hit the calculate button. Here is how the Angle between connecting rod and line of dead centres calculation can be explained with given input values -> 829.5003 = asin(sin(0.5235987755982)/1.86).

FAQ

What is Angle between connecting rod and line of dead centres?

Angle between connecting rod and line of dead centres is the angle between the connecting rod and the line of dead centres or the line of travel of the piston and is represented as φ = asin(sin(θ)/n) or Inclination of connecting rod with line of stroke = asin(sin(Crank Angle)/Ratio of length of connecting rod). 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 is denoted by the symbol n.

How to calculate Angle between connecting rod and line of dead centres?

Angle between connecting rod and line of dead centres is the angle between the connecting rod and the line of dead centres or the line of travel of the piston is calculated using Inclination of connecting rod with line of stroke = asin(sin(Crank Angle)/Ratio of length of connecting rod). To calculate Angle between connecting rod and line of dead centres, you need Crank Angle (θ) & Ratio of length of connecting rod (n). With our tool, you need to enter the respective value for Crank Angle & Ratio of length 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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