Thickness of Piston Head According to Grashoff's Formula Calculator

✖Diameter of Cylinder Bore is the internal surface diameter of an engine cylinder.ⓘ Diameter of Cylinder Bore [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%
✖Bending Stress in Piston Head is the amount of bending stress that is generated in the piston head material due to the gas load on piston top.ⓘ Bending Stress in Piston Head [σb_ph]			+10% -10%

✖Thickness of piston head is the thickness of the material used at the head of a piston.ⓘ Thickness of Piston Head According to Grashoff's Formula [t_h]

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Formula

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Thickness of Piston Head According to Grashoff's Formula

Formula

`"t"_{"h"} = "D"_{"i"}*sqrt(3*"p"_{"max"}/(16*"σb"_{"ph"}))`

Example

`"14.6556mm"="180mm"*sqrt(3*"1.43191084N/mm²"/(16*"40.5N/mm²"))`

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Thickness of Piston Head According to Grashoff's Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thickness of Piston Head = Diameter of Cylinder Bore*sqrt(3*Maximum Gas Pressure inside Cylinder/(16*Bending Stress in Piston Head))
t_h = D_i*sqrt(3*p_max/(16*σb_ph))
This formula uses 1 Functions, 4 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

Thickness of Piston Head - (Measured in Meter) - Thickness of piston head is the thickness of the material used at the head of a piston.
Diameter of Cylinder Bore - (Measured in Meter) - Diameter of Cylinder Bore is the internal surface diameter 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.
Bending Stress in Piston Head - (Measured in Pascal) - Bending Stress in Piston Head is the amount of bending stress that is generated in the piston head material due to the gas load on piston top.

STEP 1: Convert Input(s) to Base Unit

Diameter of Cylinder Bore: 180 Millimeter --> 0.18 Meter (Check conversion here)
Maximum Gas Pressure inside Cylinder: 1.43191084 Newton per Square Millimeter --> 1431910.84 Pascal (Check conversion here)
Bending Stress in Piston Head: 40.5 Newton per Square Millimeter --> 40500000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_h = D_i*sqrt(3*p_max/(16*σb_ph)) --> 0.18*sqrt(3*1431910.84/(16*40500000))

Evaluating ... ...

t_h = 0.0146556004994678

STEP 3: Convert Result to Output's Unit

0.0146556004994678 Meter -->14.6556004994678 Millimeter (Check conversion here)

FINAL ANSWER

14.6556004994678 ≈ 14.6556 Millimeter <-- Thickness of Piston Head

(Calculation completed in 00.004 seconds)

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< 7 Thickness of Piston Head Calculators

Thickness of Piston Head According to Grashoff's Formula

Go Thickness of Piston Head = Diameter of Cylinder Bore*sqrt(3*Maximum Gas Pressure inside Cylinder/(16*Bending Stress in Piston Head))

Thickness of Piston Head Considering Heat Dissipation

Go Thickness of Piston Head = Heat Conducted through Piston Head/(12.56*Thermal conductivity of piston*Temperature difference between Center and Edge)

Amount of Heat Conducted through Piston Head given Higher Calorific Value of Fuel

Go Heat Conducted through Piston Head = 0.05*Higher Calorific Value of Fuel*Mass of Fuel per Brakepower per Second*Brakepower of Engine per Cylinder

Amount of Heat Conducted through Piston Head

Go Heat Conducted through Piston Head = Thickness of Piston Head*12.56*Thermal conductivity of piston*Temperature difference between Center and Edge

Maximum Gas Force on Piston Head

Go Force on Piston = pi*Diameter of Cylinder Bore^2*Maximum Gas Pressure inside Cylinder/4

Permissible Bending Stress for Piston

Go Bending Stress in Piston Head = Ultimate Tensile Strength of Piston/Factor of Safety of Engine Piston

Thickness of piston head given cylinder inner diameter

Go Thickness of Piston Head = 0.032*Diameter of Cylinder Bore+1.5

Thickness of Piston Head According to Grashoff's Formula Formula

Thickness of Piston Head = Diameter of Cylinder Bore*sqrt(3*Maximum Gas Pressure inside Cylinder/(16*Bending Stress in Piston Head))
t_h = D_i*sqrt(3*p_max/(16*σb_ph))

How does piston shape affect combustion?

The number of pistons in an engine isn't the only important thing about them, however. The shape of a piston has a big effect on the internal combustion process. Mainly, the shape of a piston has a lot to do with how heat and the air/fuel mixture are managed.
Pistons that are elliptical, or shaped like ovals, become more circular when heat is applied. This allows for improved sealing when the cylinder meets the combustion chamber for greater efficiency. Some pistons are tapered or conical, which lets the piston move more freely regardless of how much heat is present. Others are "barrel" shaped, which is smoother and generates less noise and harshness as it moves
One of the biggest advancements in piston technology is the use of different piston "tops" or "crowns," the part that enters the combustion chamber and is subjected to combustion. While older piston tops were mostly flat, many now feature bowls on top that have different effects on the combustion process.

How to Calculate Thickness of Piston Head According to Grashoff's Formula?

Thickness of Piston Head According to Grashoff's Formula calculator uses Thickness of Piston Head = Diameter of Cylinder Bore*sqrt(3*Maximum Gas Pressure inside Cylinder/(16*Bending Stress in Piston Head)) to calculate the Thickness of Piston Head, The thickness of piston head according to Grashoff's formula is the thickness of the head of the piston considering only piston bending strength. Thickness of Piston Head is denoted by t_h symbol.

How to calculate Thickness of Piston Head According to Grashoff's Formula using this online calculator? To use this online calculator for Thickness of Piston Head According to Grashoff's Formula, enter Diameter of Cylinder Bore (D_i), Maximum Gas Pressure inside Cylinder (p_max) & Bending Stress in Piston Head (σb_ph) and hit the calculate button. Here is how the Thickness of Piston Head According to Grashoff's Formula calculation can be explained with given input values -> 14559.49 = 0.18*sqrt(3*1431910.84/(16*40500000)).

FAQ

What is Thickness of Piston Head According to Grashoff's Formula?

The thickness of piston head according to Grashoff's formula is the thickness of the head of the piston considering only piston bending strength and is represented as t_h = D_i*sqrt(3*p_max/(16*σb_ph)) or Thickness of Piston Head = Diameter of Cylinder Bore*sqrt(3*Maximum Gas Pressure inside Cylinder/(16*Bending Stress in Piston Head)). Diameter of Cylinder Bore is the internal surface diameter of an engine cylinder, Maximum gas pressure inside cylinder is the maximum amount of pressure that can be generated inside the cylinder & Bending Stress in Piston Head is the amount of bending stress that is generated in the piston head material due to the gas load on piston top.

How to calculate Thickness of Piston Head According to Grashoff's Formula?

The thickness of piston head according to Grashoff's formula is the thickness of the head of the piston considering only piston bending strength is calculated using Thickness of Piston Head = Diameter of Cylinder Bore*sqrt(3*Maximum Gas Pressure inside Cylinder/(16*Bending Stress in Piston Head)). To calculate Thickness of Piston Head According to Grashoff's Formula, you need Diameter of Cylinder Bore (D_i), Maximum Gas Pressure inside Cylinder (p_max) & Bending Stress in Piston Head (σb_ph). With our tool, you need to enter the respective value for Diameter of Cylinder Bore, Maximum Gas Pressure inside Cylinder & Bending Stress in Piston Head 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 Thickness of Piston Head?

In this formula, Thickness of Piston Head uses Diameter of Cylinder Bore, Maximum Gas Pressure inside Cylinder & Bending Stress in Piston Head. We can use 2 other way(s) to calculate the same, which is/are as follows -

Thickness of Piston Head = 0.032*Diameter of Cylinder Bore+1.5
Thickness of Piston Head = Heat Conducted through Piston Head/(12.56*Thermal conductivity of piston*Temperature difference between Center and Edge)

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