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Thickness of Elliptical Head Formula

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Thickness of Elliptical Heads are usually found at the ends of an equipment, top or bottom for vertical vessels and left right for horizontal vessels. Check FAQs

t Elliptical = \frac{p \cdot a \cdot W}{2 \cdot F c \cdot η}

t_Elliptical - Thickness of Elliptical Head?p - Internal Design Pressure?a - Major Axis of Ellipse?W - Stress Intensification Factor?F_c - Design Stress?η - Joint Efficiency?

Thickness of Elliptical Head Example

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Here is how the Thickness of Elliptical Head equation looks like with Values.

Here is how the Thickness of Elliptical Head equation looks like with Units.

Here is how the Thickness of Elliptical Head equation looks like.

33189.6552 = \frac{0.7 \cdot 11 \cdot 20}{2 \cdot 1160 \cdot 2}

33189.6552m = \frac{0.7N/mm² \cdot 11m \cdot 20}{2 \cdot 1160N/m² \cdot 2}

33189.6552 = \frac{0.7 \cdot 11 \cdot 20}{2 \cdot 1160 \cdot 2}

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Thickness of Elliptical Head Solution

Follow our step by step solution on how to calculate Thickness of Elliptical Head?

FIRST Step Consider the formula

t Elliptical = \frac{p \cdot a \cdot W}{2 \cdot F c \cdot η}

Next Step Substitute values of Variables

∴

t Elliptical = \frac{0.7N/mm² \cdot 11m \cdot 20}{2 \cdot 1160N/m² \cdot 2}

Next Step Convert Units

∴

t Elliptical = \frac{700000Pa \cdot 11m \cdot 20}{2 \cdot 1160Pa \cdot 2}

Next Step Prepare to Evaluate

∴

t Elliptical = \frac{700000 \cdot 11 \cdot 20}{2 \cdot 1160 \cdot 2}

Next Step Evaluate

∴

t Elliptical = 33189.6551724138m

LAST Step Rounding Answer

∴

t Elliptical = 33189.6552m

Thickness of Elliptical Head Formula Elements

Variables

Thickness of Elliptical Head

Thickness of Elliptical Heads are usually found at the ends of an equipment, top or bottom for vertical vessels and left right for horizontal vessels.

Symbol: t_Elliptical

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Thickness of Elliptical Head

Internal Design Pressure

Internal Design Pressure is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.

Symbol: p

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Internal Design Pressure

Major Axis of Ellipse

Major Axis of Ellipse is the line segment that crosses both the focal points of the ellipse.

Symbol: a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Major Axis of Ellipse

Stress Intensification Factor

Stress Intensification Factor (SIF) is a multiplier factor on nominal stress for typical bends and intersection components so that the effect of geometry and welding.

Symbol: W

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Stress Intensification Factor

Design Stress

Design stress is the stress in which the factor of safety can be incurred.

Symbol: F_c

Measurement: PressureUnit: N/m²

Note: Value can be positive or negative.

Formulas to find Design Stress

Joint Efficiency

Joint efficiency is a factor required in all head and shell calculations that accounts for how closely a finished weld joint.

Symbol: η

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Joint Efficiency

Other formulas in Vessel Heads category

Go Thickness of Shallow dished and Standard dished (Torishperical) Head

t Torispherical = \frac{p \cdot R c \cdot (\frac{1}{4} \cdot (3 + {(\frac{R c}{R k})}^{0.5}))}{2 \cdot F c \cdot η}

Go Thickness of Flat Plate Cover or Head

t Flat Plate = (C \cdot D) \cdot ({(\frac{p}{F c})}^{0.5})

Go Depth of Elliptical Head

h o = \frac{D o}{4}

Go Stress Intensification Factor using Ratio of Major to Minor Axis

W = (\frac{1}{6}) \cdot (2 + k^{2})

How to Evaluate Thickness of Elliptical Head?

Thickness of Elliptical Head evaluator uses Thickness of Elliptical Head = (Internal Design Pressure*Major Axis of Ellipse*Stress Intensification Factor)/(2*Design Stress*Joint Efficiency) to evaluate the Thickness of Elliptical Head, Thickness of Elliptical Head refers to the shape of an ellipse, which is an elongated circle, stretched into an oval. Thickness of Elliptical Head is denoted by t_Elliptical symbol.

How to evaluate Thickness of Elliptical Head using this online evaluator? To use this online evaluator for Thickness of Elliptical Head, enter Internal Design Pressure (p), Major Axis of Ellipse (a), Stress Intensification Factor (W), Design Stress (F_c) & Joint Efficiency (η) and hit the calculate button.

FAQs on Thickness of Elliptical Head

What is the formula to find Thickness of Elliptical Head?

The formula of Thickness of Elliptical Head is expressed as Thickness of Elliptical Head = (Internal Design Pressure*Major Axis of Ellipse*Stress Intensification Factor)/(2*Design Stress*Joint Efficiency). Here is an example- 33189.66 = (700000*11*20)/(2*1160*2).

How to calculate Thickness of Elliptical Head?

With Internal Design Pressure (p), Major Axis of Ellipse (a), Stress Intensification Factor (W), Design Stress (F_c) & Joint Efficiency (η) we can find Thickness of Elliptical Head using the formula - Thickness of Elliptical Head = (Internal Design Pressure*Major Axis of Ellipse*Stress Intensification Factor)/(2*Design Stress*Joint Efficiency).

Can the Thickness of Elliptical Head be negative?

No, the Thickness of Elliptical Head, measured in Length cannot be negative.

Which unit is used to measure Thickness of Elliptical Head?

Thickness of Elliptical Head is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Thickness of Elliptical Head can be measured.

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Thickness of Elliptical Head Formula

Thickness of Elliptical Head Example

Thickness of Elliptical Head Solution

Thickness of Elliptical Head Formula Elements

Other formulas in Vessel Heads category

How to Evaluate Thickness of Elliptical Head?

FAQs on Thickness of Elliptical Head

Variable Name