Section Modulus of Roller Pin of Forked End of Rocker Arm Solution

STEP 0: Pre-Calculation Summary
Formula Used
Section Modulus of Roller Pin = (pi*Diameter of Roller Pin^3)/32
Zpin = (pi*d2^3)/32
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Section Modulus of Roller Pin - (Measured in Cubic Meter) - Section Modulus of Roller Pin is a geometric property for the cross-section of the roller pin.
Diameter of Roller Pin - (Measured in Meter) - Diameter of Roller Pin is the diameter of the pin used at the roller joint.
STEP 1: Convert Input(s) to Base Unit
Diameter of Roller Pin: 20.6 Millimeter --> 0.0206 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Zpin = (pi*d2^3)/32 --> (pi*0.0206^3)/32
Evaluating ... ...
Zpin = 8.58225778894804E-07
STEP 3: Convert Result to Output's Unit
8.58225778894804E-07 Cubic Meter -->858.225778894804 Cubic Millimeter (Check conversion here)
FINAL ANSWER
858.225778894804 858.2258 Cubic Millimeter <-- Section Modulus of Roller Pin
(Calculation completed in 00.004 seconds)

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore
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22 Design of Forked End Calculators

Shear Stress in Roller Pin of Forked End of Rocker Arm
Go Shear Stress in Roller Pin = (2*Bearing Pressure for Roller Pin*Diameter of Roller Pin*Length of Roller Pin)/(pi*Diameter of Roller Pin^2)
Diameter of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin
Go Diameter of Roller Pin = (2*Bearing Pressure for Roller Pin*Length of Roller Pin)/(pi*Shear Stress in Roller Pin)
Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin
Go Length of Roller Pin = (pi*Shear Stress in Roller Pin*Diameter of Roller Pin)/(2*Bearing Pressure for Roller Pin)
Length of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin
Go Length of Roller Pin = 1.25*sqrt((2*Force on Roller Pin)/(pi*Shear Stress in Roller Pin))
Diameter of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin
Go Diameter of Roller Pin = sqrt((2*Force on Roller Pin)/(pi*Shear Stress in Roller Pin))
Length of Roller Pin of Forked End of Rocker Arm
Go Length of Roller Pin = 1.25*(Force on Roller Pin)/(Bearing Pressure for Roller Pin*Diameter of Roller Pin)
Bearing Pressure at Roller Pin of Forked End of Rocker Arm
Go Bearing Pressure for Roller Pin = (Force on Roller Pin)/(Diameter of Roller Pin*Length of Roller Pin)
Diameter of Roller Pin at Forked End of Rocker Arm
Go Diameter of Roller Pin = (Force on Roller Pin)/(Bearing Pressure for Roller Pin*Length of Roller Pin)
Force on Roller Pin of Forked End of Rocker Arm
Go Force on Roller Pin = Bearing Pressure for Roller Pin*Diameter of Roller Pin*Length of Roller Pin
Bending Stress in Roller Pin of Forked End of Rocker Arm given Bending Moment
Go Bending Stress in Roller Pin = (32*Bending Moment in Roller Pin)/(pi*Diameter of Roller Pin^3)
Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress
Go Bending Moment in Roller Pin = (pi*Diameter of Roller Pin^3*Bending Stress in Roller Pin)/32
Shear Stress in Roller Pin of Forked End of Rocker Arm given Force on Roller Pin
Go Shear Stress in Roller Pin = (2*Force on Roller Pin)/(pi*Diameter of Roller Pin^2)
Force on Roller Pin of Forked End of Rocker Arm given Shear Stress in Roller Pin
Go Force on Roller Pin = (pi*Diameter of Roller Pin^2*Shear Stress in Roller Pin)/2
Bending Moment in Central Plane of Roller Pin of Forked End of Rocker Arm
Go Bending Moment in Roller Pin = 5/24*(Force on Roller Pin*Length of Roller Pin)
Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm
Go Bending Moment in Roller Pin = 5/24*Force on Roller Pin*Length of Roller Pin
Section Modulus of Roller Pin of Forked End of Rocker Arm
Go Section Modulus of Roller Pin = (pi*Diameter of Roller Pin^3)/32
Diameter of Roller Pin of Forked End of Rocker Arm given Outer Diameter of Eye of Roller Pin
Go Diameter of Roller Pin = Outer Diameter of Roller Pin Eye/2
Outer Diameter of Eye of Roller Pin of Forked End of Rocker Arm
Go Outer Diameter of Roller Pin Eye = 2*Diameter of Roller Pin
Thickness of Eye of Roller Pin of Forked End of Rocker Arm
Go Thickness of Roller Pin Eye = Length of Roller Pin/2
Length of Roller Pin at Forked End of Rocker Arm given Thickness of Eye of Roller Pin
Go Length of Roller Pin = 2*Thickness of Roller Pin Eye
Length of Roller Pin of Forked End of Rocker Arm given its Diameter
Go Length of Roller Pin = 1.25*Diameter of Roller Pin
Diameter of Roller Pin at Forked End of Rocker Arm given its Length
Go Diameter of Roller Pin = Length of Roller Pin/1.25

Section Modulus of Roller Pin of Forked End of Rocker Arm Formula

Section Modulus of Roller Pin = (pi*Diameter of Roller Pin^3)/32
Zpin = (pi*d2^3)/32

Types of load on rocker arm

When the roller pin is tight in the two eyes of the fork, failure occurs due to shear. On the other hand, when the pin is loose, it is subjected to a bending moment it acts as a beam It is assumed that the load acting on the pin is uniformly distributed in the portion that is in contact with the roller. It is uniformly varying in two parts of the fork.

How to Calculate Section Modulus of Roller Pin of Forked End of Rocker Arm?

Section Modulus of Roller Pin of Forked End of Rocker Arm calculator uses Section Modulus of Roller Pin = (pi*Diameter of Roller Pin^3)/32 to calculate the Section Modulus of Roller Pin, The Section modulus of roller pin of forked end of rocker arm is a geometric property (the ratio of the second moment of area and distance from Neutral axis to the extreme fibre) for the given cross-section used in the design of roller pin of an IC Engine rocker arm. Section Modulus of Roller Pin is denoted by Zpin symbol.

How to calculate Section Modulus of Roller Pin of Forked End of Rocker Arm using this online calculator? To use this online calculator for Section Modulus of Roller Pin of Forked End of Rocker Arm, enter Diameter of Roller Pin (d2) and hit the calculate button. Here is how the Section Modulus of Roller Pin of Forked End of Rocker Arm calculation can be explained with given input values -> 8.6E+11 = (pi*0.0206^3)/32.

FAQ

What is Section Modulus of Roller Pin of Forked End of Rocker Arm?
The Section modulus of roller pin of forked end of rocker arm is a geometric property (the ratio of the second moment of area and distance from Neutral axis to the extreme fibre) for the given cross-section used in the design of roller pin of an IC Engine rocker arm and is represented as Zpin = (pi*d2^3)/32 or Section Modulus of Roller Pin = (pi*Diameter of Roller Pin^3)/32. Diameter of Roller Pin is the diameter of the pin used at the roller joint.
How to calculate Section Modulus of Roller Pin of Forked End of Rocker Arm?
The Section modulus of roller pin of forked end of rocker arm is a geometric property (the ratio of the second moment of area and distance from Neutral axis to the extreme fibre) for the given cross-section used in the design of roller pin of an IC Engine rocker arm is calculated using Section Modulus of Roller Pin = (pi*Diameter of Roller Pin^3)/32. To calculate Section Modulus of Roller Pin of Forked End of Rocker Arm, you need Diameter of Roller Pin (d2). With our tool, you need to enter the respective value for Diameter of Roller Pin 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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