Core Diameter of Studs Calculator

✖Inner Diameter of Engine Cylinder is the diameter of the interior or the inside surface of an engine cylinder.ⓘ Inner Diameter of Engine Cylinder [D_i]			+10% -10%
✖Maximum gas pressure inside cylinder is the maximum amount of pressure that can be generated inside the cylinder.ⓘ Maximum Gas Pressure inside Cylinder [p_max]			+10% -10%
✖Number of Studs in Cylinder Head is the total number of studs used in an assembly of cylinder with cylinder head.ⓘ Number of Studs in Cylinder Head [z]			+10% -10%
✖Tensile Stress in Cylinder Head Studs is stress that is developed in a stud due to service loads.ⓘ Tensile Stress in Cylinder Head Studs [σt_s]			+10% -10%

✖Core Diameter of Cylinder Head Stud is the smallest diameter of the thread of an engine cylinder head stud.ⓘ Core Diameter of Studs [d_c]

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Formula

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Core Diameter of Studs

Formula

`"d"_{"c"} = sqrt("D"_{"i"}^2*"p"_{"max"}/("z"*"σt"_{"s"}))`

Example

`"17.24871mm"=sqrt(("128.5mm")^2*"4MPa"/("6"*"37N/mm²"))`

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Core Diameter of Studs Solution

STEP 0: Pre-Calculation Summary

Formula Used

Core Diameter of Cylinder Head Stud = sqrt(Inner Diameter of Engine Cylinder^2*Maximum Gas Pressure inside Cylinder/(Number of Studs in Cylinder Head*Tensile Stress in Cylinder Head Studs))
d_c = sqrt(D_i^2*p_max/(z*σt_s))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Core Diameter of Cylinder Head Stud - (Measured in Meter) - Core Diameter of Cylinder Head Stud is the smallest diameter of the thread of an engine cylinder head stud.
Inner Diameter of Engine Cylinder - (Measured in Meter) - Inner Diameter of Engine Cylinder is the diameter of the interior or the inside surface of an engine cylinder.
Maximum Gas Pressure inside Cylinder - (Measured in Pascal) - Maximum gas pressure inside cylinder is the maximum amount of pressure that can be generated inside the cylinder.
Number of Studs in Cylinder Head - Number of Studs in Cylinder Head is the total number of studs used in an assembly of cylinder with cylinder head.
Tensile Stress in Cylinder Head Studs - (Measured in Pascal) - Tensile Stress in Cylinder Head Studs is stress that is developed in a stud due to service loads.

STEP 1: Convert Input(s) to Base Unit

Inner Diameter of Engine Cylinder: 128.5 Millimeter --> 0.1285 Meter (Check conversion here)
Maximum Gas Pressure inside Cylinder: 4 Megapascal --> 4000000 Pascal (Check conversion here)
Number of Studs in Cylinder Head: 6 --> No Conversion Required
Tensile Stress in Cylinder Head Studs: 37 Newton per Square Millimeter --> 37000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_c = sqrt(D_i^2*p_max/(z*σt_s)) --> sqrt(0.1285^2*4000000/(6*37000000))

Evaluating ... ...

d_c = 0.0172487106190004

STEP 3: Convert Result to Output's Unit

0.0172487106190004 Meter -->17.2487106190004 Millimeter (Check conversion here)

FINAL ANSWER

17.2487106190004 ≈ 17.24871 Millimeter <-- Core Diameter of Cylinder Head Stud

(Calculation completed in 00.004 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Engine Cylinder » Cylinder Head and Stud » Core Diameter of Studs

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Created by Saurabh Patil

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

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National Institute Of Technology (NIT), Hamirpur

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< 12 Cylinder Head and Stud Calculators

Core Diameter of Studs

Go Core Diameter of Cylinder Head Stud = sqrt(Inner Diameter of Engine Cylinder^2*Maximum Gas Pressure inside Cylinder/(Number of Studs in Cylinder Head*Tensile Stress in Cylinder Head Studs))

Net Resisting Force Offered by Cylinder Head Studs

Go Resisting Force by Cylinder Head Studs = (Number of Studs in Cylinder Head*pi*Core Diameter of Cylinder Head Stud^2)/4*Tensile Stress in Cylinder Head Studs

Thickness of Cylinder Head

Go Thickness of Cylinder Head = Inner Diameter of Engine Cylinder*sqrt(0.162*Maximum Gas Pressure inside Cylinder/Circumferential Stress in Engine Wall)

Pitch Circle Diameter of Studs given Pitch and Number of Studs

Go Pitch circle diameter of engine studs = Number of Studs in Cylinder Head*Pitch of engine studs/pi

Pitch of Englne Cylinder Head Studs

Go Pitch of engine studs = pi*Pitch circle diameter of engine studs/Number of Studs in Cylinder Head

Pitch Circle Diameter of Studs

Go Pitch circle diameter of engine studs = Inner Diameter of Engine Cylinder+3*Nominal Diameter of Cylinder Head Stud

Maximum Pitch of Studs for Cylinder Head

Go Pitch of engine studs = 28.5*sqrt(Nominal Diameter of Cylinder Head Stud)

Minimum Pitch of Studs for Cylinder Head

Go Pitch of engine studs = 19*sqrt(Nominal Diameter of Cylinder Head Stud)

Core Diameter of Studs given Nominal Diameter

Go Core Diameter of Cylinder Head Stud = Nominal Diameter of Cylinder Head Stud*0.8

Nominal Diameter of Studs

Go Nominal Diameter of Cylinder Head Stud = Core Diameter of Cylinder Head Stud/0.8

Minimum Number of Studs for Cylinder Head

Go Number of Studs in Cylinder Head = 10*Inner Diameter of Engine Cylinder+4

Maximum Number of Studs for Cylinder Head

Go Number of Studs in Cylinder Head = 20*Inner Diameter of Engine Cylinder+4

Core Diameter of Studs Formula

Metric Thread

Metric thread is the most widely used today, and can otherwise be referred to as ‘ISO Metric’ or ‘M’. Both coarse and fine thread fasteners are available and can be supplied in a wide range of materials and sizes – with a number of popular DIN standards. Fine metric threads are more susceptible to galling, need longer thread engagements, and are less suitable for high-speed assembly. They are more easily tapped into hard materials though, requiring less torque. They also have less tendency to loosen, are stronger, size for size, than a coarse thread, and allow for finer adjustments because of their smaller pitch.
Coarse threads have a larger pitch and are easier to obtain than fine thread fasteners, and they are specified for the majority of applications. Metric threads come in a variety of strengths, in ‘grades’ ranging from 4.8 to 8.8, 10.9, and 12.9.

How to Calculate Core Diameter of Studs?

Core Diameter of Studs calculator uses Core Diameter of Cylinder Head Stud = sqrt(Inner Diameter of Engine Cylinder^2*Maximum Gas Pressure inside Cylinder/(Number of Studs in Cylinder Head*Tensile Stress in Cylinder Head Studs)) to calculate the Core Diameter of Cylinder Head Stud, The core diameter of studs is the smallest diameter of the threaded portion of a stud. Core Diameter of Cylinder Head Stud is denoted by d_c symbol.

How to calculate Core Diameter of Studs using this online calculator? To use this online calculator for Core Diameter of Studs, enter Inner Diameter of Engine Cylinder (D_i), Maximum Gas Pressure inside Cylinder (p_max), Number of Studs in Cylinder Head (z) & Tensile Stress in Cylinder Head Studs (σt_s) and hit the calculate button. Here is how the Core Diameter of Studs calculation can be explained with given input values -> 17248.71 = sqrt(0.1285^2*4000000/(6*37000000)).

FAQ

What is Core Diameter of Studs?

The core diameter of studs is the smallest diameter of the threaded portion of a stud and is represented as d_c = sqrt(D_i^2*p_max/(z*σt_s)) or Core Diameter of Cylinder Head Stud = sqrt(Inner Diameter of Engine Cylinder^2*Maximum Gas Pressure inside Cylinder/(Number of Studs in Cylinder Head*Tensile Stress in Cylinder Head Studs)). Inner Diameter of Engine Cylinder is the diameter of the interior or the inside surface of an engine cylinder, Maximum gas pressure inside cylinder is the maximum amount of pressure that can be generated inside the cylinder, Number of Studs in Cylinder Head is the total number of studs used in an assembly of cylinder with cylinder head & Tensile Stress in Cylinder Head Studs is stress that is developed in a stud due to service loads.

How to calculate Core Diameter of Studs?

The core diameter of studs is the smallest diameter of the threaded portion of a stud is calculated using Core Diameter of Cylinder Head Stud = sqrt(Inner Diameter of Engine Cylinder^2*Maximum Gas Pressure inside Cylinder/(Number of Studs in Cylinder Head*Tensile Stress in Cylinder Head Studs)). To calculate Core Diameter of Studs, you need Inner Diameter of Engine Cylinder (D_i), Maximum Gas Pressure inside Cylinder (p_max), Number of Studs in Cylinder Head (z) & Tensile Stress in Cylinder Head Studs (σt_s). With our tool, you need to enter the respective value for Inner Diameter of Engine Cylinder, Maximum Gas Pressure inside Cylinder, Number of Studs in Cylinder Head & Tensile Stress in Cylinder Head Studs 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 Core Diameter of Cylinder Head Stud?

In this formula, Core Diameter of Cylinder Head Stud uses Inner Diameter of Engine Cylinder, Maximum Gas Pressure inside Cylinder, Number of Studs in Cylinder Head & Tensile Stress in Cylinder Head Studs. We can use 1 other way(s) to calculate the same, which is/are as follows -

Core Diameter of Cylinder Head Stud = Nominal Diameter of Cylinder Head Stud*0.8

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