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Inner Diameter of Thin Cylinder given Longitudinal Stress Formula

GoInner Diameter of Thin Cylinder given Tangential Stress Formula

GoInner Diameter of Thin Spherical Shell given Permissible Tensile Stress 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 = 4 \cdot t w \cdot \frac{σ l}{P i}

d_i - Inner Diameter of Pressurized Cylinder?t_w - Thickness of Pressurized Cylinder Wall?σ_l - Longitudinal Stress in Pressurized Cylinder?P_i - Internal Pressure on Cylinder?

Inner Diameter of Thin Cylinder given Longitudinal Stress Example

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Here is how the Inner Diameter of Thin Cylinder given Longitudinal Stress equation looks like with Values.

Here is how the Inner Diameter of Thin Cylinder given Longitudinal Stress equation looks like with Units.

Here is how the Inner Diameter of Thin Cylinder given Longitudinal Stress equation looks like.

800 = 4 \cdot 30 \cdot \frac{68}{10.2}

800mm = 4 \cdot 30mm \cdot \frac{68N/mm²}{10.2MPa}

800 = 4 \cdot 30 \cdot \frac{68}{10.2}

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Inner Diameter of Thin Cylinder given Longitudinal Stress Solution

Follow our step by step solution on how to calculate Inner Diameter of Thin Cylinder given Longitudinal Stress?

FIRST Step Consider the formula

d i = 4 \cdot t w \cdot \frac{σ l}{P i}

Next Step Substitute values of Variables

∴

d i = 4 \cdot 30mm \cdot \frac{68N/mm²}{10.2MPa}

Next Step Convert Units

∴

d i = 4 \cdot 0.03m \cdot \frac{6.8E+7Pa}{1E+7Pa}

Next Step Prepare to Evaluate

∴

d i = 4 \cdot 0.03 \cdot \frac{6.8E+7}{1E+7}

Next Step Evaluate

∴

d i = 0.8m

LAST Step Convert to Output's Unit

∴

d i = 800mm

Inner Diameter of Thin Cylinder given Longitudinal Stress 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

Longitudinal Stress in Pressurized Cylinder

Longitudinal stress in pressurized cylinder is defined as the stress produced in curved surface of a cylinder parallel to central axis subjected to internal pressure.

Symbol: σ_l

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Longitudinal 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 to find Inner Diameter of Pressurized Cylinder

Go Inner Diameter of Thin Cylinder given Tangential Stress

d i = 2 \cdot t w \cdot \frac{σ tang}{P i}

Go Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress

d i = 4 \cdot t w \cdot \frac{σ t}{P i}

Go Inner Diameter of Thin Spherical Shell given Volume

d i = {(6 \cdot \frac{V}{π})}^{\frac{1}{3}}

Other formulas in Thin Cylinder Vessel category

Go Tangential Stress in Thin Cylinder given Internal Pressure

σ tang = P i \cdot \frac{d i}{2 \cdot t w}

Go Internal Pressure in Thin Cylinder given Tangential Stress

P i = 2 \cdot t w \cdot \frac{σ tang}{d i}

Go Cylinder Wall Thickness of Thin Cylinder given Tangential Stress

t w = P i \cdot \frac{d i}{2 \cdot σ tang}

Go Longitudinal Stress in Thin Cylinder given Internal Pressure

σ l = P i \cdot \frac{d i}{4 \cdot t w}

How to Evaluate Inner Diameter of Thin Cylinder given Longitudinal Stress?

Inner Diameter of Thin Cylinder given Longitudinal Stress evaluator uses Inner Diameter of Pressurized Cylinder = 4*Thickness of Pressurized Cylinder Wall*Longitudinal Stress in Pressurized Cylinder/Internal Pressure on Cylinder to evaluate the Inner Diameter of Pressurized Cylinder, Inner Diameter of Thin Cylinder given Longitudinal Stress 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 Inner Diameter of Thin Cylinder given Longitudinal Stress using this online evaluator? To use this online evaluator for Inner Diameter of Thin Cylinder given Longitudinal Stress, enter Thickness of Pressurized Cylinder Wall (t_w), Longitudinal Stress in Pressurized Cylinder (σ_l) & Internal Pressure on Cylinder (P_i) and hit the calculate button.

FAQs on Inner Diameter of Thin Cylinder given Longitudinal Stress

What is the formula to find Inner Diameter of Thin Cylinder given Longitudinal Stress?

The formula of Inner Diameter of Thin Cylinder given Longitudinal Stress is expressed as Inner Diameter of Pressurized Cylinder = 4*Thickness of Pressurized Cylinder Wall*Longitudinal Stress in Pressurized Cylinder/Internal Pressure on Cylinder. Here is an example- 800000 = 4*0.03*68000000/10200000.

How to calculate Inner Diameter of Thin Cylinder given Longitudinal Stress?

With Thickness of Pressurized Cylinder Wall (t_w), Longitudinal Stress in Pressurized Cylinder (σ_l) & Internal Pressure on Cylinder (P_i) we can find Inner Diameter of Thin Cylinder given Longitudinal Stress using the formula - Inner Diameter of Pressurized Cylinder = 4*Thickness of Pressurized Cylinder Wall*Longitudinal Stress in Pressurized Cylinder/Internal Pressure on Cylinder.

What are the other ways to Calculate Inner Diameter of Pressurized Cylinder?

Here are the different ways to Calculate Inner Diameter of Pressurized Cylinder-

Inner Diameter of Pressurized Cylinder=2*Thickness of Pressurized Cylinder Wall*Tangential Stress in Pressurized Cylinder/Internal Pressure on Cylinder
Inner Diameter of Pressurized Cylinder=4*Thickness of Pressurized Cylinder Wall*Permissible Tensile Stress in Pressurized Cylinder/Internal Pressure on Cylinder
Inner Diameter of Pressurized Cylinder=(6*Volume of Thin Spherical Shell/pi)^(1/3)

Can the Inner Diameter of Thin Cylinder given Longitudinal Stress be negative?

No, the Inner Diameter of Thin Cylinder given Longitudinal Stress, measured in Length cannot be negative.

Which unit is used to measure Inner Diameter of Thin Cylinder given Longitudinal Stress?

Inner Diameter of Thin Cylinder given Longitudinal Stress is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Inner Diameter of Thin Cylinder given Longitudinal Stress can be measured.

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Inner Diameter of Thin Cylinder given Longitudinal Stress Formula

​GoInner Diameter of Thin Cylinder given Tangential Stress Formula

​GoInner Diameter of Thin Spherical Shell given Permissible Tensile Stress Formula

Inner Diameter of Thin Cylinder given Longitudinal Stress Example

Inner Diameter of Thin Cylinder given Longitudinal Stress Solution

Inner Diameter of Thin Cylinder given Longitudinal Stress Formula Elements

Other Formulas to find Inner Diameter of Pressurized Cylinder

Other formulas in Thin Cylinder Vessel category

How to Evaluate Inner Diameter of Thin Cylinder given Longitudinal Stress?

FAQs on Inner Diameter of Thin Cylinder given Longitudinal Stress

Variable Name

GoInner Diameter of Thin Cylinder given Tangential Stress Formula

GoInner Diameter of Thin Spherical Shell given Permissible Tensile Stress Formula