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Internal Diameter of Pressurized Cylinder Formula

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Inner diameter of pressurized cylinder is the diameter of the inner circle or the internal surface of a cylinder under pressure. Check FAQs

d i = 2 \cdot \frac{t w}{({(\frac{σ t + P i}{σ t - P i})}^{\frac{1}{2}}) - 1}

d_i - Inner Diameter of Pressurized Cylinder?t_w - Thickness of Pressurized Cylinder Wall?σ_t - Permissible Tensile Stress in Pressurized Cylinder?P_i - Internal Pressure on Cylinder?

Internal Diameter of Pressurized Cylinder Example

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Here is how the Internal Diameter of Pressurized Cylinder equation looks like with Values.

Here is how the Internal Diameter of Pressurized Cylinder equation looks like with Units.

Here is how the Internal Diameter of Pressurized Cylinder equation looks like.

409.1269 = 2 \cdot \frac{30}{({(\frac{75 + 10.2}{75 - 10.2})}^{\frac{1}{2}}) - 1}

409.1269mm = 2 \cdot \frac{30mm}{({(\frac{75N/mm² + 10.2MPa}{75N/mm² - 10.2MPa})}^{\frac{1}{2}}) - 1}

409.1269 = 2 \cdot \frac{30}{({(\frac{75 + 10.2}{75 - 10.2})}^{\frac{1}{2}}) - 1}

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Internal Diameter of Pressurized Cylinder Solution

Follow our step by step solution on how to calculate Internal Diameter of Pressurized Cylinder?

FIRST Step Consider the formula

d i = 2 \cdot \frac{t w}{({(\frac{σ t + P i}{σ t - P i})}^{\frac{1}{2}}) - 1}

Next Step Substitute values of Variables

∴

d i = 2 \cdot \frac{30mm}{({(\frac{75N/mm² + 10.2MPa}{75N/mm² - 10.2MPa})}^{\frac{1}{2}}) - 1}

Next Step Convert Units

∴

d i = 2 \cdot \frac{0.03m}{({(\frac{7.5E+7Pa + 1E+7Pa}{7.5E+7Pa - 1E+7Pa})}^{\frac{1}{2}}) - 1}

Next Step Prepare to Evaluate

∴

d i = 2 \cdot \frac{0.03}{({(\frac{7.5E+7 + 1E+7}{7.5E+7 - 1E+7})}^{\frac{1}{2}}) - 1}

Next Step Evaluate

∴

d i = 0.409126949370532m

Next Step Convert to Output's Unit

∴

d i = 409.126949370532mm

LAST Step Rounding Answer

∴

d i = 409.1269mm

Internal Diameter of Pressurized Cylinder Formula Elements

Variables

Inner Diameter of Pressurized Cylinder

Inner diameter of pressurized cylinder is the diameter of the inner circle or the internal surface of a cylinder under pressure.

Symbol: d_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Diameter of Pressurized Cylinder

Thickness of Pressurized Cylinder Wall

Thickness of pressurized cylinder wall is the measure of the smallest dimension of a solid figure, here a cylindrical wall.

Symbol: t_w

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Pressurized Cylinder Wall

Permissible Tensile Stress in Pressurized Cylinder

Permissible Tensile stress in pressurized cylinder is the tensile stress of the stretching force per unit area into the walls of the cylinder.

Symbol: σ_t

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Permissible Tensile Stress in Pressurized Cylinder

Internal Pressure on Cylinder

Internal pressure on cylinder is the amount of pressure of force per unit area acting onto the internal surface of a cylinder.

Symbol: P_i

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Internal Pressure on Cylinder

Other formulas in Bolt of Pressurized Cylinder category

Go Thickness of Pressurized Cylinder

t w = (\frac{d i}{2}) \cdot (({(\frac{σ t + P i}{σ t - P i})}^{\frac{1}{2}}) - 1)

Go Decrease in Outer Diameter of Cylinder given Total deformation in Pressure Vessel

δ c = δ - δ j

Go Resultant Load on Bolt given Pre load

P b = P l + ΔP i

Go Initial Preload due to Bolt tightening

P l = P b - ΔP i

How to Evaluate Internal Diameter of Pressurized Cylinder?

Internal Diameter of Pressurized Cylinder evaluator uses Inner Diameter of Pressurized Cylinder = 2*Thickness of Pressurized Cylinder Wall/((((Permissible Tensile Stress in Pressurized Cylinder+Internal Pressure on Cylinder)/(Permissible Tensile Stress in Pressurized Cylinder-Internal Pressure on Cylinder))^(1/2))-1) to evaluate the Inner Diameter of Pressurized Cylinder, Internal Diameter of Pressurized Cylinder formula is defined as the diameter of the internal surface of a pressurized cylindrical vessel. Inner Diameter of Pressurized Cylinder is denoted by d_i symbol.

How to evaluate Internal Diameter of Pressurized Cylinder using this online evaluator? To use this online evaluator for Internal Diameter of Pressurized Cylinder, enter Thickness of Pressurized Cylinder Wall (t_w), Permissible Tensile Stress in Pressurized Cylinder (σ_t) & Internal Pressure on Cylinder (P_i) and hit the calculate button.

FAQs on Internal Diameter of Pressurized Cylinder

What is the formula to find Internal Diameter of Pressurized Cylinder?

The formula of Internal Diameter of Pressurized Cylinder is expressed as Inner Diameter of Pressurized Cylinder = 2*Thickness of Pressurized Cylinder Wall/((((Permissible Tensile Stress in Pressurized Cylinder+Internal Pressure on Cylinder)/(Permissible Tensile Stress in Pressurized Cylinder-Internal Pressure on Cylinder))^(1/2))-1). Here is an example- 409126.9 = 2*0.03/((((75000000+10200000)/(75000000-10200000))^(1/2))-1).

How to calculate Internal Diameter of Pressurized Cylinder?

With Thickness of Pressurized Cylinder Wall (t_w), Permissible Tensile Stress in Pressurized Cylinder (σ_t) & Internal Pressure on Cylinder (P_i) we can find Internal Diameter of Pressurized Cylinder using the formula - Inner Diameter of Pressurized Cylinder = 2*Thickness of Pressurized Cylinder Wall/((((Permissible Tensile Stress in Pressurized Cylinder+Internal Pressure on Cylinder)/(Permissible Tensile Stress in Pressurized Cylinder-Internal Pressure on Cylinder))^(1/2))-1).

Can the Internal Diameter of Pressurized Cylinder be negative?

No, the Internal Diameter of Pressurized Cylinder, measured in Length cannot be negative.

Which unit is used to measure Internal Diameter of Pressurized Cylinder?

Internal Diameter of Pressurized Cylinder is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Internal Diameter of Pressurized Cylinder can be measured.

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Internal Diameter of Pressurized Cylinder Formula

Internal Diameter of Pressurized Cylinder Example

Internal Diameter of Pressurized Cylinder Solution

Internal Diameter of Pressurized Cylinder Formula Elements

Other formulas in Bolt of Pressurized Cylinder category

How to Evaluate Internal Diameter of Pressurized Cylinder?

FAQs on Internal Diameter of Pressurized Cylinder

Variable Name