Circumferential Stress (Hoop Stress) in Cylinderical Shell Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumferential Stress = (Internal Pressure*Mean Diameter of Shell)/2*Thickness
σc = (P*D)/2*t
This formula uses 4 Variables
Variables Used
Circumferential Stress - (Measured in Pascal) - Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.
Internal Pressure - (Measured in Pascal) - Internal pressure is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.
Mean Diameter of Shell - (Measured in Meter) - Mean Diameter of Shell is the average of two measurements of the diameter taken at right angles to each other.
Thickness - (Measured in Meter) - Thickness is the distance through an object.
STEP 1: Convert Input(s) to Base Unit
Internal Pressure: 10 Pascal --> 10 Pascal No Conversion Required
Mean Diameter of Shell: 10 Meter --> 10 Meter No Conversion Required
Thickness: 1.2 Meter --> 1.2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σc = (P*D)/2*t --> (10*10)/2*1.2
Evaluating ... ...
σc = 60
STEP 3: Convert Result to Output's Unit
60 Pascal -->60 Newton per Square Meter (Check conversion here)
FINAL ANSWER
60 Newton per Square Meter <-- Circumferential Stress
(Calculation completed in 00.031 seconds)

Credits

Created by Heet Vora
Thadomal Shahani Engineering College (Tsec), Mumbai
Heet Vora has created this Calculator and 25+ more calculators!
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National Institute of Technology (NIT), Meghalaya
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Moment of Inertia of Stiffening Ring = ((External Pressure*(Outside Diameter^3))/(24*Young's Modulus)) Go
Circumferential Stress (Hoop Stress) in Cylinderical Shell
Circumferential Stress = (Internal Pressure*Mean Diameter of Shell)/2*Thickness Go
Longitudinal Stress (Axial Stress) in Cylindrical Shell
Longitudinal Stress = (Internal Pressure*Mean Diameter of Shell)/4*Thickness Go
Hoop Strain
Hoop Strain = (Final Length-Initial Length)/(Initial Length) Go
Depth of Hemispherical Head
Height of Formed Head = Outer Shell Diameter/2 Go
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Height of Formed Head = Outer Shell Diameter/4 Go

Circumferential Stress (Hoop Stress) in Cylinderical Shell Formula

Circumferential Stress = (Internal Pressure*Mean Diameter of Shell)/2*Thickness
σc = (P*D)/2*t

What is Stress?

Stress is a quantity that describes the magnitude of forces that cause deformation. When forces pull on an object and cause its elongation, like the stretching of an elastic band, we call such stress a tensile stress. When forces cause a compression of an object, we call it a compressive stress. When an object is being squeezed from all sides, like a submarine in the depths of an ocean, we call this kind of stress a bulk stress (or volume stress).

How to Calculate Circumferential Stress (Hoop Stress) in Cylinderical Shell?

Circumferential Stress (Hoop Stress) in Cylinderical Shell calculator uses Circumferential Stress = (Internal Pressure*Mean Diameter of Shell)/2*Thickness to calculate the Circumferential Stress, Circumferential Stress (Hoop Stress) in Cylinderical Shell is the stress that occurs along the pipe's circumference when pressure is applied. Circumferential Stress is denoted by σc symbol.

How to calculate Circumferential Stress (Hoop Stress) in Cylinderical Shell using this online calculator? To use this online calculator for Circumferential Stress (Hoop Stress) in Cylinderical Shell, enter Internal Pressure (P), Mean Diameter of Shell (D) & Thickness (t) and hit the calculate button. Here is how the Circumferential Stress (Hoop Stress) in Cylinderical Shell calculation can be explained with given input values -> 60 = (10*10)/2*1.2.

FAQ

What is Circumferential Stress (Hoop Stress) in Cylinderical Shell?
Circumferential Stress (Hoop Stress) in Cylinderical Shell is the stress that occurs along the pipe's circumference when pressure is applied and is represented as σc = (P*D)/2*t or Circumferential Stress = (Internal Pressure*Mean Diameter of Shell)/2*Thickness. Internal pressure is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature, Mean Diameter of Shell is the average of two measurements of the diameter taken at right angles to each other & Thickness is the distance through an object.
How to calculate Circumferential Stress (Hoop Stress) in Cylinderical Shell?
Circumferential Stress (Hoop Stress) in Cylinderical Shell is the stress that occurs along the pipe's circumference when pressure is applied is calculated using Circumferential Stress = (Internal Pressure*Mean Diameter of Shell)/2*Thickness. To calculate Circumferential Stress (Hoop Stress) in Cylinderical Shell, you need Internal Pressure (P), Mean Diameter of Shell (D) & Thickness (t). With our tool, you need to enter the respective value for Internal Pressure, Mean Diameter of Shell & Thickness and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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