Force due to circumferential stress in thin cylindrical vessel Solution

STEP 0: Pre-Calculation Summary
Formula Used
Force on cylindrical shell = (2*Hoop Stress*Length Of Cylindrical Shell*Thickness Of Thin Shell)
F = (2*σθ*Lcylinder*t)
This formula uses 4 Variables
Variables Used
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.
Hoop Stress - (Measured in Pascal) - Hoop Stress is the circumferential stress in a cylinder.
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
Hoop Stress: 18 Newton per Square Meter --> 18 Pascal (Check conversion ​here)
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
F = (2*σθ*Lcylinder*t) --> (2*18*3*0.525)
Evaluating ... ...
F = 56.7
STEP 3: Convert Result to Output's Unit
56.7 Newton --> No Conversion Required
FINAL ANSWER
56.7 Newton <-- Force on cylindrical shell
(Calculation completed in 00.004 seconds)

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Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Hoop Stress Calculators

Internal diameter of vessel given Force due to fluid pressure in thin cylindrical vessel
​ LaTeX ​ Go Inner Diameter of Cylinder = Force on cylindrical shell/(Internal Pressure*Length Of Cylindrical Shell)
Internal pressure of fluid given Force due to fluid pressure in thin cylindrical vessel
​ LaTeX ​ Go Internal Pressure = Force on cylindrical shell/(Inner Diameter of Cylinder*Length Of Cylindrical Shell)
Length of vessel given Force due to fluid pressure in thin cylindrical vessel
​ LaTeX ​ Go Length Of Cylindrical Shell = Force on cylindrical shell/(Internal Pressure*Inner Diameter of Cylinder)
Force due to fluid pressure in thin cylindrical vessel
​ LaTeX ​ Go Force on cylindrical shell = (Internal Pressure*Inner Diameter of Cylinder*Length Of Cylindrical Shell)

Stress Calculators

Internal diameter of vessel given hoop stress and efficiency of longitudinal joint
​ LaTeX ​ Go Inner Diameter of Cylinderical Vessel = (Hoop Stress in Thin shell*2*Thickness Of Thin Shell*Efficiency of Longitudinal Joint)/(Internal Pressure in thin shell)
Longitudinal stress in thin cylindrical vessel given Longitudinal strain
​ LaTeX ​ Go Longitudinal Stress Thick Shell = ((Longitudinal Strain*Modulus of Elasticity Of Thin Shell))+(Poisson's Ratio*Hoop Stress in Thin shell)
Efficiency of circumferential joint given longitudinal stress
​ LaTeX ​ Go Efficiency of Circumferential Joint = (Internal Pressure in thin shell*Inner Diameter of Cylinderical Vessel)/(4*Thickness Of Thin Shell)
Efficiency of longitudinal joint given hoop stress
​ LaTeX ​ Go Efficiency of Longitudinal Joint = (Internal Pressure in thin shell*Inner Diameter of Cylinderical Vessel)/(2*Thickness Of Thin Shell)

Force due to circumferential stress in thin cylindrical vessel Formula

​LaTeX ​Go
Force on cylindrical shell = (2*Hoop Stress*Length Of Cylindrical Shell*Thickness Of Thin Shell)
F = (2*σθ*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 Force due to circumferential stress in thin cylindrical vessel?

Force due to circumferential stress in thin cylindrical vessel calculator uses Force on cylindrical shell = (2*Hoop Stress*Length Of Cylindrical Shell*Thickness Of Thin Shell) to calculate the Force on cylindrical shell, The Force due to circumferential stress in thin cylindrical vessel formula is defined as any interaction that, when unopposed, will change the motion of an object. Force on cylindrical shell is denoted by F symbol.

How to calculate Force due to circumferential stress in thin cylindrical vessel using this online calculator? To use this online calculator for Force due to circumferential stress in thin cylindrical vessel, enter Hoop Stress θ), Length Of Cylindrical Shell (Lcylinder) & Thickness Of Thin Shell (t) and hit the calculate button. Here is how the Force due to circumferential stress in thin cylindrical vessel calculation can be explained with given input values -> 129.6 = (2*18*3*0.525).

FAQ

What is Force due to circumferential stress in thin cylindrical vessel?
The Force due to circumferential stress in thin cylindrical vessel formula is defined as any interaction that, when unopposed, will change the motion of an object and is represented as F = (2*σθ*Lcylinder*t) or Force on cylindrical shell = (2*Hoop Stress*Length Of Cylindrical Shell*Thickness Of Thin Shell). Hoop Stress is the circumferential stress in a cylinder, 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 Force due to circumferential stress in thin cylindrical vessel?
The Force due to circumferential stress in thin cylindrical vessel formula is defined as any interaction that, when unopposed, will change the motion of an object is calculated using Force on cylindrical shell = (2*Hoop Stress*Length Of Cylindrical Shell*Thickness Of Thin Shell). To calculate Force due to circumferential stress in thin cylindrical vessel, you need Hoop Stress θ), Length Of Cylindrical Shell (Lcylinder) & Thickness Of Thin Shell (t). With our tool, you need to enter the respective value for Hoop Stress, 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 Force on cylindrical shell?
In this formula, Force on cylindrical shell uses Hoop Stress, Length Of Cylindrical Shell & Thickness Of Thin Shell. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Force on cylindrical shell = (Internal Pressure*Inner Diameter of Cylinder*Length Of Cylindrical Shell)
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