Hoop stress given force due to circumferential stress in thin cylindrical vessel Solution

STEP 0: Pre-Calculation Summary
Formula Used
Hoop Stress = Force on cylindrical shell/(2*Length Of Cylindrical Shell*Thickness Of Thin Shell)
σθ = F/(2*Lcylinder*t)
This formula uses 4 Variables
Variables Used
Hoop Stress - (Measured in Pascal) - Hoop Stress is the circumferential stress in a cylinder.
Force on cylindrical shell - (Measured in Newton) - Force on cylindrical shell is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity.
Length Of Cylindrical Shell - (Measured in Meter) - Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end.
Thickness Of Thin Shell - (Measured in Meter) - Thickness Of Thin Shell is the distance through an object.
STEP 1: Convert Input(s) to Base Unit
Force on cylindrical shell: 2.5 Newton --> 2.5 Newton No Conversion Required
Length Of Cylindrical Shell: 3000 Millimeter --> 3 Meter (Check conversion ​here)
Thickness Of Thin Shell: 525 Millimeter --> 0.525 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σθ = F/(2*Lcylinder*t) --> 2.5/(2*3*0.525)
Evaluating ... ...
σθ = 0.793650793650794
STEP 3: Convert Result to Output's Unit
0.793650793650794 Pascal -->0.793650793650794 Newton per Square Meter (Check conversion ​here)
FINAL ANSWER
0.793650793650794 0.793651 Newton per Square Meter <-- Hoop Stress
(Calculation completed in 00.007 seconds)

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Hoop stress Calculators

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​ LaTeX ​ Go Hoop Stress in Thin shell = (Circumferential Strain Thin Shell*Modulus of Elasticity Of Thin Shell)+(Poisson's Ratio*Longitudinal Stress Thick Shell)
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​ LaTeX ​ Go Hoop Stress in Thin shell = (-(Longitudinal Strain*Modulus of Elasticity Of Thin Shell)+Longitudinal Stress Thick Shell)/(Poisson's Ratio)
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​ LaTeX ​ Go Hoop Stress in Thin shell = (Strain in thin shell/(1-Poisson's Ratio))*Modulus of Elasticity Of Thin Shell

Hoop stress given force due to circumferential stress in thin cylindrical vessel Formula

​LaTeX ​Go
Hoop Stress = Force on cylindrical shell/(2*Length Of Cylindrical Shell*Thickness Of Thin Shell)
σθ = F/(2*Lcylinder*t)

What is meant by hoop stress?

The hoop stress, or tangential stress, is the stress around the circumference of the pipe due to a pressure gradient. The maximum hoop stress always occurs at the inner radius or the outer radius depending on the direction of the pressure gradient.

How to Calculate Hoop stress given force due to circumferential stress in thin cylindrical vessel?

Hoop stress given force due to circumferential stress in thin cylindrical vessel calculator uses Hoop Stress = Force on cylindrical shell/(2*Length Of Cylindrical Shell*Thickness Of Thin Shell) to calculate the Hoop Stress, Hoop stress given force due to circumferential stress in thin cylindrical vessel is the stress around the circumference of the pipe due to a pressure gradient. Hoop Stress is denoted by σθ symbol.

How to calculate Hoop stress given force due to circumferential stress in thin cylindrical vessel using this online calculator? To use this online calculator for Hoop stress given force due to circumferential stress in thin cylindrical vessel, enter Force on cylindrical shell (F), Length Of Cylindrical Shell (Lcylinder) & Thickness Of Thin Shell (t) and hit the calculate button. Here is how the Hoop stress given force due to circumferential stress in thin cylindrical vessel calculation can be explained with given input values -> 0.347222 = 2.5/(2*3*0.525).

FAQ

What is Hoop stress given force due to circumferential stress in thin cylindrical vessel?
Hoop stress given force due to circumferential stress in thin cylindrical vessel is the stress around the circumference of the pipe due to a pressure gradient and is represented as σθ = F/(2*Lcylinder*t) or Hoop Stress = Force on cylindrical shell/(2*Length Of Cylindrical Shell*Thickness Of Thin Shell). Force on cylindrical shell is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity, Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end & Thickness Of Thin Shell is the distance through an object.
How to calculate Hoop stress given force due to circumferential stress in thin cylindrical vessel?
Hoop stress given force due to circumferential stress in thin cylindrical vessel is the stress around the circumference of the pipe due to a pressure gradient is calculated using Hoop Stress = Force on cylindrical shell/(2*Length Of Cylindrical Shell*Thickness Of Thin Shell). To calculate Hoop stress given force due to circumferential stress in thin cylindrical vessel, you need Force on cylindrical shell (F), Length Of Cylindrical Shell (Lcylinder) & Thickness Of Thin Shell (t). With our tool, you need to enter the respective value for Force on cylindrical shell, Length Of Cylindrical Shell & Thickness Of Thin Shell and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Hoop Stress?
In this formula, Hoop Stress uses Force on cylindrical shell, Length Of Cylindrical Shell & Thickness Of Thin Shell. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Hoop Stress = (Internal Pressure*Inner Diameter of Cylinder)/(2*Thickness Of Thin Shell)
  • Hoop Stress = (Internal Pressure*Inner Diameter of Cylinder)/(2*Thickness Of Thin Shell)
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