FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Total Hoop Stress in Shell Formula

Fx Copy

LaTeX Copy

The Total Hoop Stress in the Shell formula is defined as is the stress around the circumference of the shell due to a pressure gradient. Check FAQs

f cs = \frac{p shell \cdot D i}{2 \cdot t \cdot J} + \frac{p j \cdot d i}{(4 \cdot t coil \cdot J coil) + (2.5 \cdot t \cdot J)}

f_cs - Total Hoop Stress?p_shell - Design Pressure Shell?D_i - Internal Diameter of Shell?t - Shell Thickness?J - Joint Efficiency for Shell?p_j - Design Jacket Pressure?d_i - Internal Diameter of Half Coil?t_coil - Thickness of Half Coil Jacket?J_coil - Weld Joint Efficiency Factor for Coil?

Total Hoop Stress in Shell Example

With values

With units

Only example

Here is how the Total Hoop Stress in Shell equation looks like with Values.

Here is how the Total Hoop Stress in Shell equation looks like with Units.

Here is how the Total Hoop Stress in Shell equation looks like.

2.7037 = \frac{0.61 \cdot 1500}{2 \cdot 200 \cdot 0.85} + \frac{0.105 \cdot 54}{(4 \cdot 11.2 \cdot 0.6) + (2.5 \cdot 200 \cdot 0.85)}

2.7037N/mm² = \frac{0.61N/mm² \cdot 1500mm}{2 \cdot 200mm \cdot 0.85} + \frac{0.105N/mm² \cdot 54mm}{(4 \cdot 11.2mm \cdot 0.6) + (2.5 \cdot 200mm \cdot 0.85)}

2.7037 = \frac{0.61 \cdot 1500}{2 \cdot 200 \cdot 0.85} + \frac{0.105 \cdot 54}{(4 \cdot 11.2 \cdot 0.6) + (2.5 \cdot 200 \cdot 0.85)}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Chemical Engineering » Category

Process Equipment Design » fx Total Hoop Stress in Shell

Total Hoop Stress in Shell Solution

Follow our step by step solution on how to calculate Total Hoop Stress in Shell?

FIRST Step Consider the formula

f cs = \frac{p shell \cdot D i}{2 \cdot t \cdot J} + \frac{p j \cdot d i}{(4 \cdot t coil \cdot J coil) + (2.5 \cdot t \cdot J)}

Next Step Substitute values of Variables

∴

f cs = \frac{0.61N/mm² \cdot 1500mm}{2 \cdot 200mm \cdot 0.85} + \frac{0.105N/mm² \cdot 54mm}{(4 \cdot 11.2mm \cdot 0.6) + (2.5 \cdot 200mm \cdot 0.85)}

Next Step Prepare to Evaluate

∴

f cs = \frac{0.61 \cdot 1500}{2 \cdot 200 \cdot 0.85} + \frac{0.105 \cdot 54}{(4 \cdot 11.2 \cdot 0.6) + (2.5 \cdot 200 \cdot 0.85)}

Next Step Evaluate

∴

f cs = 2703724.04959151Pa

Next Step Convert to Output's Unit

∴

f cs = 2.70372404959151N/mm²

LAST Step Rounding Answer

∴

f cs = 2.7037N/mm²

Total Hoop Stress in Shell Formula Elements

Variables

Total Hoop Stress

The Total Hoop Stress in the Shell formula is defined as is the stress around the circumference of the shell due to a pressure gradient.

Symbol: f_cs

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Total Hoop Stress

Design Pressure Shell

Design Pressure Shell refers to the maximum allowable pressure that the shell can withstand without experiencing permanent deformation or failure.

Symbol: p_shell

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Design Pressure Shell

Internal Diameter of Shell

Internal Diameter of Shell is a measurement of the distance of a straight line from one point on the inner wall of the object, through its center, to an opposite point also on the inside.

Symbol: D_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Internal Diameter of Shell

Shell Thickness

Shell thickness is the the distance through the shell.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Shell Thickness

Joint Efficiency for Shell

Joint Efficiency for Shell refers to the effectiveness of the joint between two adjacent sections of a cylindrical shell, such as in a pressure vessel or a storage tank.

Symbol: J

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Joint Efficiency for Shell

Design Jacket Pressure

Design Jacket Pressure refers to a type of pressure vessel designed to withstand high pressures and temperatures, typically used for containing gases or liquids under extreme conditions.

Symbol: p_j

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Design Jacket Pressure

Internal Diameter of Half Coil

Internal Diameter of Half Coil is a measurement of the distance of a straight line from one point on the inner wall of the object, through its center, to an opposite point also on the inside.

Symbol: d_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Internal Diameter of Half Coil

Thickness of Half Coil Jacket

Thickness of Half Coil Jacket can be determined by considering the heat transfer coefficient, the surface area of the coil, and the temperature difference.

Symbol: t_coil

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Half Coil Jacket

Weld Joint Efficiency Factor for Coil

Weld Joint Efficiency Factor for Coil is a measure of the strength of the weld relative to the strength of the base metal.

Symbol: J_coil

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Weld Joint Efficiency Factor for Coil

Other formulas in Jacketed Reaction Vessel category

Go Required Thickness for Jacket Closer Member with Jacket Width

t rc = 0.886 \cdot w j \cdot \sqrt{\frac{p j}{f j}}

Go Jacket Width

w j = \frac{D ij - OD Vessel}{2}

How to Evaluate Total Hoop Stress in Shell?

Total Hoop Stress in Shell evaluator uses Total Hoop Stress = (Design Pressure Shell*Internal Diameter of Shell)/(2*Shell Thickness*Joint Efficiency for Shell)+(Design Jacket Pressure*Internal Diameter of Half Coil)/((4*Thickness of Half Coil Jacket*Weld Joint Efficiency Factor for Coil)+(2.5*Shell Thickness*Joint Efficiency for Shell)) to evaluate the Total Hoop Stress, The Total Hoop Stress in Shell formula is defined as is the stress around the circumference of the shell due to a pressure gradient. Total Hoop Stress is denoted by f_cs symbol.

How to evaluate Total Hoop Stress in Shell using this online evaluator? To use this online evaluator for Total Hoop Stress in Shell, enter Design Pressure Shell (p_shell), Internal Diameter of Shell (D_i), Shell Thickness (t), Joint Efficiency for Shell (J), Design Jacket Pressure (p_j), Internal Diameter of Half Coil (d_i), Thickness of Half Coil Jacket (t_coil) & Weld Joint Efficiency Factor for Coil (J_coil) and hit the calculate button.

FAQs on Total Hoop Stress in Shell

What is the formula to find Total Hoop Stress in Shell?

The formula of Total Hoop Stress in Shell is expressed as Total Hoop Stress = (Design Pressure Shell*Internal Diameter of Shell)/(2*Shell Thickness*Joint Efficiency for Shell)+(Design Jacket Pressure*Internal Diameter of Half Coil)/((4*Thickness of Half Coil Jacket*Weld Joint Efficiency Factor for Coil)+(2.5*Shell Thickness*Joint Efficiency for Shell)). Here is an example- 2.7E-6 = (610000*1.5)/(2*0.2*0.85)+(105000*0.054)/((4*0.0112*0.6)+(2.5*0.2*0.85)).

How to calculate Total Hoop Stress in Shell?

With Design Pressure Shell (p_shell), Internal Diameter of Shell (D_i), Shell Thickness (t), Joint Efficiency for Shell (J), Design Jacket Pressure (p_j), Internal Diameter of Half Coil (d_i), Thickness of Half Coil Jacket (t_coil) & Weld Joint Efficiency Factor for Coil (J_coil) we can find Total Hoop Stress in Shell using the formula - Total Hoop Stress = (Design Pressure Shell*Internal Diameter of Shell)/(2*Shell Thickness*Joint Efficiency for Shell)+(Design Jacket Pressure*Internal Diameter of Half Coil)/((4*Thickness of Half Coil Jacket*Weld Joint Efficiency Factor for Coil)+(2.5*Shell Thickness*Joint Efficiency for Shell)).

Can the Total Hoop Stress in Shell be negative?

No, the Total Hoop Stress in Shell, measured in Stress cannot be negative.

Which unit is used to measure Total Hoop Stress in Shell?

Total Hoop Stress in Shell is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Total Hoop Stress in Shell can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Total Hoop Stress in Shell Formula

Total Hoop Stress in Shell Example

Total Hoop Stress in Shell Solution

Total Hoop Stress in Shell Formula Elements

Other formulas in Jacketed Reaction Vessel category

How to Evaluate Total Hoop Stress in Shell?

FAQs on Total Hoop Stress in Shell

Variable Name