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Thickness of Piston Head According to Grashoff's Formula Formula

GoThickness of Piston Head given Cylinder Inner Diameter Formula

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Thickness of Piston Head is the thickness of the material used at the head of a piston. Check FAQs

t h = D i \cdot \sqrt{3 \cdot \frac{p max}{16 \cdot σ ph}}

t_h - Thickness of Piston Head?D_i - Diameter of Cylinder Bore?p_max - Maximum Gas Pressure Inside Cylinder?σ_ph - Bending Stress in Piston Head?

Thickness of Piston Head According to Grashoff's Formula Example

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Here is how the Thickness of Piston Head According to Grashoff's Formula equation looks like with Values.

Here is how the Thickness of Piston Head According to Grashoff's Formula equation looks like with Units.

Here is how the Thickness of Piston Head According to Grashoff's Formula equation looks like.

16.844 = 180 \cdot \sqrt{3 \cdot \frac{1.4319}{16 \cdot 30.66}}

16.844mm = 180mm \cdot \sqrt{3 \cdot \frac{1.4319N/mm²}{16 \cdot 30.66N/mm²}}

16.844 = 180 \cdot \sqrt{3 \cdot \frac{1.4319}{16 \cdot 30.66}}

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Thickness of Piston Head According to Grashoff's Formula Solution

Follow our step by step solution on how to calculate Thickness of Piston Head According to Grashoff's Formula?

FIRST Step Consider the formula

t h = D i \cdot \sqrt{3 \cdot \frac{p max}{16 \cdot σ ph}}

Next Step Substitute values of Variables

∴

t h = 180mm \cdot \sqrt{3 \cdot \frac{1.4319N/mm²}{16 \cdot 30.66N/mm²}}

Next Step Convert Units

∴

t h = 0.18m \cdot \sqrt{3 \cdot \frac{1.4E+6Pa}{16 \cdot 3.1E+7Pa}}

Next Step Prepare to Evaluate

∴

t h = 0.18 \cdot \sqrt{3 \cdot \frac{1.4E+6}{16 \cdot 3.1E+7}}

Next Step Evaluate

∴

t h = 0.0168439930787677m

Next Step Convert to Output's Unit

∴

t h = 16.8439930787677mm

LAST Step Rounding Answer

∴

t h = 16.844mm

Thickness of Piston Head According to Grashoff's Formula Formula Elements

Variables

Functions

Thickness of Piston Head

Thickness of Piston Head is the thickness of the material used at the head of a piston.

Symbol: t_h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Piston Head

Diameter of Cylinder Bore

Diameter of Cylinder Bore is the internal surface diameter of an engine cylinder.

Symbol: D_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Cylinder Bore

Maximum Gas Pressure Inside Cylinder

Maximum Gas Pressure Inside Cylinder is the maximum amount of pressure that can be generated inside the cylinder.

Symbol: p_max

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Maximum Gas Pressure Inside Cylinder

Bending Stress in Piston Head

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.

Symbol: σ_ph

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bending Stress in Piston Head

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 to find Thickness of Piston Head

Go Thickness of Piston Head given Cylinder Inner Diameter

t h = 0.032 \cdot D i + 1.5

Other formulas in Thickness of Piston Head category

Go Inner Diameter of Piston Pin

d i = 0.6 \cdot d o

Go Length of Piston Pin used in Connecting Rod

l 1 = 0.45 \cdot D i

Go Maximum Bending Moment on Piston Pin

M b = F P \cdot \frac{D i}{8}

Go Maximum Bending Stress in Piston Pin

σ max = 4 \cdot F P \cdot D i \cdot \frac{d o}{π \cdot ({d o}^{4} - {d i}^{4})}

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

Thickness of Piston Head According to Grashoff's Formula evaluator uses Thickness of Piston Head = Diameter of Cylinder Bore*sqrt(3*Maximum Gas Pressure Inside Cylinder/(16*Bending Stress in Piston Head)) to evaluate 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 evaluate Thickness of Piston Head According to Grashoff's Formula using this online evaluator? To use this online evaluator 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 (σ_ph) and hit the calculate button.

FAQs on Thickness of Piston Head According to Grashoff's Formula

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

The formula of Thickness of Piston Head According to Grashoff's Formula is expressed as Thickness of Piston Head = Diameter of Cylinder Bore*sqrt(3*Maximum Gas Pressure Inside Cylinder/(16*Bending Stress in Piston Head)). Here is an example- 14655.6 = 0.18*sqrt(3*1431910.84/(16*30660000)).

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

With Diameter of Cylinder Bore (D_i), Maximum Gas Pressure Inside Cylinder (p_max) & Bending Stress in Piston Head (σ_ph) we can find Thickness of Piston Head According to Grashoff's Formula using the formula - Thickness of Piston Head = Diameter of Cylinder Bore*sqrt(3*Maximum Gas Pressure Inside Cylinder/(16*Bending Stress in Piston Head)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Thickness of Piston Head?

Here are the different ways to Calculate Thickness of Piston Head-

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

Can the Thickness of Piston Head According to Grashoff's Formula be negative?

No, the Thickness of Piston Head According to Grashoff's Formula, measured in Length cannot be negative.

Which unit is used to measure Thickness of Piston Head According to Grashoff's Formula?

Thickness of Piston Head According to Grashoff's Formula is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Thickness of Piston Head According to Grashoff's Formula can be measured.

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Thickness of Piston Head According to Grashoff's Formula Formula

​GoThickness of Piston Head given Cylinder Inner Diameter Formula

Thickness of Piston Head According to Grashoff's Formula Example

Thickness of Piston Head According to Grashoff's Formula Solution

Thickness of Piston Head According to Grashoff's Formula Formula Elements

Other Formulas to find Thickness of Piston Head

Other formulas in Thickness of Piston Head category

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

FAQs on Thickness of Piston Head According to Grashoff's Formula

Variable Name

GoThickness of Piston Head given Cylinder Inner Diameter Formula