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

✖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.ⓘ Force on cylindrical shell [F]			+10% -10%
✖Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end.ⓘ Length Of Cylindrical Shell [L_cylinder]			+10% -10%
✖Thickness Of Thin Shell is the distance through an object.ⓘ Thickness Of Thin Shell [t]			+10% -10%

✖Hoop Stress is the circumferential stress in a cylinder.ⓘ Hoop stress given force due to circumferential stress in thin cylindrical vessel [σ_θ]

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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)
σ_θ = F/(2*L_cylinder*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

σ_θ = F/(2*L_cylinder*t) --> 2.5/(2*3*0.525)

Evaluating ... ...

σ_θ = 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 00.008 seconds)

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Hoop stress given circumferential strain

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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)
σ_θ = F/(2*L_cylinder*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 σ_θ 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 (L_cylinder) & 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 σ_θ = F/(2*L_cylinder*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 (L_cylinder) & 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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