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

✖Diameter of Roller Pin is the diameter of the pin used at the roller joint.ⓘ Diameter of Roller Pin [d₂]

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✖Section Modulus of Roller Pin is a geometric property for the cross-section of the roller pin.ⓘ Section Modulus of Roller Pin of Forked End of Rocker Arm [Z_pin]

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Formula

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Section Modulus of Roller Pin of Forked End of Rocker Arm

Formula

Z pin = \frac{π \cdot {d 2}^{3}}{32}

Example

858.2258 mm³ = \frac{π \cdot {20.6 mm}^{3}}{32}

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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
Z_pin = (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

Z_pin = (pi*d₂^3)/32 --> (pi*0.0206^3)/32

Evaluating ... ...

Z_pin = 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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Home » Physics » IC Engine » Design of IC Engine Components » Rocker Arm » Mechanical » Design of Forked End » Section Modulus of Roller Pin of Forked End of Rocker Arm

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Created by Saurabh Patil

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

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< Design of Forked End Calculators

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

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

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