Core Diameter of Studs Formula

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Core Diameter of Cylinder Head Stud is the smallest diameter of the thread of an engine cylinder head stud. Check FAQs
dc=Di2pmaxzσts
dc - Core Diameter of Cylinder Head Stud?Di - Inner Diameter of Engine Cylinder?pmax - Maximum Gas Pressure Inside Cylinder?z - Number of Studs in Cylinder Head?σts - Tensile Stress in Cylinder Head Studs?

Core Diameter of Studs Example

With values
With units
Only example

Here is how the Core Diameter of Studs equation looks like with Values.

Here is how the Core Diameter of Studs equation looks like with Units.

Here is how the Core Diameter of Studs equation looks like.

17.2487Edit=128.5Edit24Edit6Edit37Edit
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Core Diameter of Studs Solution

Follow our step by step solution on how to calculate Core Diameter of Studs?

FIRST Step Consider the formula
dc=Di2pmaxzσts
Next Step Substitute values of Variables
dc=128.5mm24MPa637N/mm²
Next Step Convert Units
dc=0.1285m24E+6Pa63.7E+7Pa
Next Step Prepare to Evaluate
dc=0.128524E+663.7E+7
Next Step Evaluate
dc=0.0172487106190004m
Next Step Convert to Output's Unit
dc=17.2487106190004mm
LAST Step Rounding Answer
dc=17.2487mm

Core Diameter of Studs Formula Elements

Variables
Functions
Core Diameter of Cylinder Head Stud
Core Diameter of Cylinder Head Stud is the smallest diameter of the thread of an engine cylinder head stud.
Symbol: dc
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Inner Diameter of Engine Cylinder
Inner Diameter of Engine Cylinder is the diameter of the interior or the inside surface of an engine cylinder.
Symbol: Di
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Maximum Gas Pressure Inside Cylinder
Maximum Gas Pressure Inside Cylinder is the maximum amount of pressure that can be generated inside the cylinder.
Symbol: pmax
Measurement: PressureUnit: MPa
Note: Value should be greater than 0.
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.
Symbol: z
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Tensile Stress in Cylinder Head Studs
Tensile Stress in Cylinder Head Studs is stress that is developed in a stud due to service loads.
Symbol: σts
Measurement: StressUnit: N/mm²
Note: Value should be greater than 0.
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.
Syntax: sqrt(Number)

Other formulas in Cylinder Head and Stud category

​Go Bore of Engine Cylinder given Length
Di=L1.725
​Go Gas Force Acting on Cylinder Cover
Fg=πDi24pmax
​Go Indicated Mean Effective Pressure
Imep=IP60nlsAe
​Go Length of Engine Cylinder given Cylinder Bore
L=1.725Di

How to Evaluate Core Diameter of Studs?

Core Diameter of Studs evaluator 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 evaluate 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 dc symbol.

How to evaluate Core Diameter of Studs using this online evaluator? To use this online evaluator for Core Diameter of Studs, enter Inner Diameter of Engine Cylinder (Di), Maximum Gas Pressure Inside Cylinder (pmax), Number of Studs in Cylinder Head (z) & Tensile Stress in Cylinder Head Studs ts) and hit the calculate button.

FAQs on Core Diameter of Studs

What is the formula to find Core Diameter of Studs?
The formula of Core Diameter of Studs is expressed as 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)). Here is an example- 17248.71 = sqrt(0.1285^2*4000000/(6*37000000)).
How to calculate Core Diameter of Studs?
With Inner Diameter of Engine Cylinder (Di), Maximum Gas Pressure Inside Cylinder (pmax), Number of Studs in Cylinder Head (z) & Tensile Stress in Cylinder Head Studs ts) we can find Core Diameter of Studs using the formula - 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)). This formula also uses Square Root (sqrt) function(s).
Can the Core Diameter of Studs be negative?
No, the Core Diameter of Studs, measured in Length cannot be negative.
Which unit is used to measure Core Diameter of Studs?
Core Diameter of Studs is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Core Diameter of Studs can be measured.
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