Longitudinal stress in material given resisting force on thin cylindrical vessel Solution

STEP 0: Pre-Calculation Summary
Formula Used
Longitudinal Stress = Force on cylindrical shell/(pi*Inner Diameter of Cylinder*Thickness Of Thin Shell)
σl = F/(pi*Di*t)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Longitudinal Stress - (Measured in Pascal) - Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure.
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.
Inner Diameter of Cylinder - (Measured in Meter) - Inner Diameter of Cylinder is the diameter of the inside of the cylinder.
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
Inner Diameter of Cylinder: 50 Millimeter --> 0.05 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
σl = F/(pi*Di*t) --> 2.5/(pi*0.05*0.525)
Evaluating ... ...
σl = 30.3152272555991
STEP 3: Convert Result to Output's Unit
30.3152272555991 Pascal -->3.03152272555991E-05 Megapascal (Check conversion here)
FINAL ANSWER
3.03152272555991E-05 3E-5 Megapascal <-- Longitudinal Stress
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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10+ Longitudinal Stress Calculators

Longitudinal stress in material given resisting force on thin cylindrical vessel
Go Longitudinal Stress = Force on cylindrical shell/(pi*Inner Diameter of Cylinder*Thickness Of Thin Shell)
Thickness of cylindrical vessel given resisting force on thin cylindrical vessel
Go Thickness Of Thin Shell = Force on cylindrical shell/(Longitudinal Stress*pi*Inner Diameter of Cylinder)
Internal diameter of vessel given resisting force on thin cylindrical vessel
Go Inner Diameter of Cylinder = Force on cylindrical shell/(Longitudinal Stress*pi*Thickness Of Thin Shell)
Resisting force on thin cylindrical vessel
Go Force on cylindrical shell = (Longitudinal Stress*pi*Inner Diameter of Cylinder*Thickness Of Thin Shell)
Internal diameter of vessel given Longitudinal stress in cylindrical vessel material
Go Inner Diameter of Cylinder = (Longitudinal Stress*4*Thickness Of Thin Shell)/(Internal Pressure)
Internal pressure of fluid given Longitudinal stress in cylindrical vessel material
Go Internal Pressure = (Longitudinal Stress*4*Thickness Of Thin Shell)/(Inner Diameter of Cylinder)
Thickness of vessel given Longitudinal stress in cylindrical vessel material
Go Thickness Of Thin Shell = (Internal Pressure*Inner Diameter of Cylinder)/(4*Longitudinal Stress)
Longitudinal stress in cylindrical vessel material
Go Longitudinal Stress = (Internal Pressure*Inner Diameter of Cylinder)/(4*Thickness Of Thin Shell)
Longitudinal stress in thin cylindrical vessel given hoop stress
Go Longitudinal Stress = Hoop Stress/2
Hoop stress in thin cylindrical vessel given longitudinal stress
Go Hoop Stress = 2*Longitudinal Stress

Longitudinal stress in material given resisting force on thin cylindrical vessel Formula

Longitudinal Stress = Force on cylindrical shell/(pi*Inner Diameter of Cylinder*Thickness Of Thin Shell)
σl = F/(pi*Di*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 Longitudinal stress in material given resisting force on thin cylindrical vessel?

Longitudinal stress in material given resisting force on thin cylindrical vessel calculator uses Longitudinal Stress = Force on cylindrical shell/(pi*Inner Diameter of Cylinder*Thickness Of Thin Shell) to calculate the Longitudinal Stress, Longitudinal stress in material given resisting force on thin cylindrical vessel is the stress produced when a pipe is subjected to internal pressure. Longitudinal Stress is denoted by σl symbol.

How to calculate Longitudinal stress in material given resisting force on thin cylindrical vessel using this online calculator? To use this online calculator for Longitudinal stress in material given resisting force on thin cylindrical vessel, enter Force on cylindrical shell (F), Inner Diameter of Cylinder (Di) & Thickness Of Thin Shell (t) and hit the calculate button. Here is how the Longitudinal stress in material given resisting force on thin cylindrical vessel calculation can be explained with given input values -> 1.3E-11 = 2.5/(pi*0.05*0.525).

FAQ

What is Longitudinal stress in material given resisting force on thin cylindrical vessel?
Longitudinal stress in material given resisting force on thin cylindrical vessel is the stress produced when a pipe is subjected to internal pressure and is represented as σl = F/(pi*Di*t) or Longitudinal Stress = Force on cylindrical shell/(pi*Inner Diameter of Cylinder*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, Inner Diameter of Cylinder is the diameter of the inside of the cylinder & Thickness Of Thin Shell is the distance through an object.
How to calculate Longitudinal stress in material given resisting force on thin cylindrical vessel?
Longitudinal stress in material given resisting force on thin cylindrical vessel is the stress produced when a pipe is subjected to internal pressure is calculated using Longitudinal Stress = Force on cylindrical shell/(pi*Inner Diameter of Cylinder*Thickness Of Thin Shell). To calculate Longitudinal stress in material given resisting force on thin cylindrical vessel, you need Force on cylindrical shell (F), Inner Diameter of Cylinder (Di) & Thickness Of Thin Shell (t). With our tool, you need to enter the respective value for Force on cylindrical shell, Inner Diameter of Cylinder & 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 Longitudinal Stress?
In this formula, Longitudinal Stress uses Force on cylindrical shell, Inner Diameter of Cylinder & Thickness Of Thin Shell. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Longitudinal Stress = (Internal Pressure*Inner Diameter of Cylinder)/(4*Thickness Of Thin Shell)
  • Longitudinal Stress = Hoop Stress/2
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