Force on connecting rod given radial component of force at crankpin Solution

STEP 0: Pre-Calculation Summary
Formula Used
Force on Connecting Rod = (Radial Force at Crank Pin)/(cos(Inclination of Connecting Rod With Line of Stroke+Crank Angle))
Pcr = (Pr)/(cos(φ+θ))
This formula uses 1 Functions, 4 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
Force on Connecting Rod - (Measured in Newton) - Force on Connecting Rod is the force acting on the connecting rod of an IC Engine during operation.
Radial Force at Crank Pin - (Measured in Newton) - Radial Force at Crank Pin is the component of thrust force on connecting rod acting at the crankpin in the direction radially to the connecting rod.
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.
STEP 1: Convert Input(s) to Base Unit
Radial Force at Crank Pin: 13900 Newton --> 13900 Newton No Conversion Required
Inclination of Connecting Rod With Line of Stroke: 15.5939 Degree --> 0.272164898226693 Radian (Check conversion ​here)
Crank Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pcr = (Pr)/(cos(φ+θ)) --> (13900)/(cos(0.272164898226693+0.5235987755982))
Evaluating ... ...
Pcr = 19864.5380573899
STEP 3: Convert Result to Output's Unit
19864.5380573899 Newton --> No Conversion Required
FINAL ANSWER
19864.5380573899 19864.54 Newton <-- Force on Connecting Rod
(Calculation completed in 00.004 seconds)

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Force on Crank Pin at Angle of Maximum Torque Calculators

Angle between connecting rod and line of dead centres
​ LaTeX ​ Go Inclination of Connecting Rod With Line of Stroke = asin(sin(Crank Angle)/Ratio of Length of Connecting Rod to Crank)
Angle between crank and line of dead centres
​ LaTeX ​ Go Crank Angle = asin(Ratio of Length of Connecting Rod to Crank*sin(Inclination of Connecting Rod With Line of Stroke))
Force acting on piston top due to gas pressure given thrust force on connecting rod
​ LaTeX ​ Go Force on Piston Head = Force on Connecting Rod*cos(Inclination of Connecting Rod With Line of Stroke)
Thrust on connecting rod due to force on piston head
​ LaTeX ​ Go Force on Connecting Rod = Force on Piston Head/cos(Inclination of Connecting Rod With Line of Stroke)

Force on connecting rod given radial component of force at crankpin Formula

​LaTeX ​Go
Force on Connecting Rod = (Radial Force at Crank Pin)/(cos(Inclination of Connecting Rod With Line of Stroke+Crank Angle))
Pcr = (Pr)/(cos(φ+θ))

What is a Crankpin and its uses?

A Crankpin is a mechanical device in an engine that connects the crankshaft to the connecting rod for each cylinder. It has a cylindrical surface, to allow the crankpin to rotate. The most common configuration is for a crankpin to serve one cylinder.

What is Crankshaft?

A Crankshaft is a shaft driven by a crank mechanism, consisting of a series of cranks and crankpins to which the connecting rods of an engine are attached. It is a mechanical part able to perform a conversion between reciprocating motion and rotational motion. In a reciprocating engine, it translates the reciprocating motion of the piston into rotational motion, whereas in a reciprocating compressor, it converts the rotational motion into reciprocating motion.

How to Calculate Force on connecting rod given radial component of force at crankpin?

Force on connecting rod given radial component of force at crankpin calculator uses Force on Connecting Rod = (Radial Force at Crank Pin)/(cos(Inclination of Connecting Rod With Line of Stroke+Crank Angle)) to calculate the Force on Connecting Rod, The Force on connecting rod given radial component of force at crankpin is the thrust force onto the connecting rod transmitted from the piston to the connecting rod. The piston head is subjected to the force exerted by the gas pressure. Force on Connecting Rod is denoted by Pcr symbol.

How to calculate Force on connecting rod given radial component of force at crankpin using this online calculator? To use this online calculator for Force on connecting rod given radial component of force at crankpin, enter Radial Force at Crank Pin (Pr), Inclination of Connecting Rod With Line of Stroke (φ) & Crank Angle (θ) and hit the calculate button. Here is how the Force on connecting rod given radial component of force at crankpin calculation can be explained with given input values -> 19864.54 = (13900)/(cos(0.272164898226693+0.5235987755982)).

FAQ

What is Force on connecting rod given radial component of force at crankpin?
The Force on connecting rod given radial component of force at crankpin is the thrust force onto the connecting rod transmitted from the piston to the connecting rod. The piston head is subjected to the force exerted by the gas pressure and is represented as Pcr = (Pr)/(cos(φ+θ)) or Force on Connecting Rod = (Radial Force at Crank Pin)/(cos(Inclination of Connecting Rod With Line of Stroke+Crank Angle)). Radial Force at Crank Pin is the component of thrust force on connecting rod acting at the crankpin in the direction radially to the connecting rod, 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 refers to the position of an engine's crankshaft in relation to the piston as it travels inside of the cylinder wall.
How to calculate Force on connecting rod given radial component of force at crankpin?
The Force on connecting rod given radial component of force at crankpin is the thrust force onto the connecting rod transmitted from the piston to the connecting rod. The piston head is subjected to the force exerted by the gas pressure is calculated using Force on Connecting Rod = (Radial Force at Crank Pin)/(cos(Inclination of Connecting Rod With Line of Stroke+Crank Angle)). To calculate Force on connecting rod given radial component of force at crankpin, you need Radial Force at Crank Pin (Pr), Inclination of Connecting Rod With Line of Stroke (φ) & Crank Angle (θ). With our tool, you need to enter the respective value for Radial Force at Crank Pin, Inclination of Connecting Rod With Line of Stroke & Crank Angle 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 Force on Connecting Rod?
In this formula, Force on Connecting Rod uses Radial Force at Crank Pin, Inclination of Connecting Rod With Line of Stroke & Crank Angle. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Force on Connecting Rod = Force on Piston Head/cos(Inclination of Connecting Rod With Line of Stroke)
  • Force on Connecting Rod = (Tangential Force at Crank Pin)/(sin(Inclination of Connecting Rod With Line of Stroke+Crank Angle))
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