Resultant stress in cylinder Solution

STEP 0: Pre-Calculation Summary
Formula Used
Resultant Stress = Circumferential Stress due to Fluid Pressure-Compressive Circumferential Stress
σR = σc-Fcircumference
This formula uses 3 Variables
Variables Used
Resultant Stress - (Measured in Pascal) - Resultant Stress is the simplified representation of stress.
Circumferential Stress due to Fluid Pressure - (Measured in Pascal) - Circumferential stress due to fluid pressure is a kind of tensile stress exerted on cylinder due to fluid pressure.
Compressive Circumferential Stress - (Measured in Pascal) - Compressive Circumferential Stress or hoop stress is a normal stress in the tangential (azimuth) direction. axial stress, a normal stress parallel to the axis of cylindrical symmetry.
STEP 1: Convert Input(s) to Base Unit
Circumferential Stress due to Fluid Pressure: 0.002 Megapascal --> 2000 Pascal (Check conversion ​here)
Compressive Circumferential Stress: 7.5 Megapascal --> 7500000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σR = σc-Fcircumference --> 2000-7500000
Evaluating ... ...
σR = -7498000
STEP 3: Convert Result to Output's Unit
-7498000 Pascal -->-7.498 Megapascal (Check conversion ​here)
FINAL ANSWER
-7.498 Megapascal <-- Resultant Stress
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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Birsa Institute of Technology (BIT), Sindri
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Stress Calculators

Circumferential stress in cylinder due to fluid given bursting force due to fluid pressure
​ LaTeX ​ Go Circumferential Stress due to Fluid Pressure = ((Force/Length of wire)-((pi/2)*Diameter of Wire*Stress in wire due to fluid pressure))/(2*Thickness Of Wire)
Circumferential stress in cylinder given circumferential strain in cylinder
​ LaTeX ​ Go Circumferential Stress due to Fluid Pressure = (Circumferential Strain*Young's Modulus Cylinder)+(Poisson's Ratio*Longitudinal Stress)
Circumferential stress due to fluid pressure given resisting force of cylinder
​ LaTeX ​ Go Circumferential Stress due to Fluid Pressure = Force/(2*Length of wire*Thickness Of Wire)
Circumferential stress due to fluid pressure given resultant stress in cylinder
​ LaTeX ​ Go Circumferential Stress due to Fluid Pressure = Resultant Stress+Compressive Circumferential Stress

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)

Resultant stress in cylinder Formula

​LaTeX ​Go
Resultant Stress = Circumferential Stress due to Fluid Pressure-Compressive Circumferential Stress
σR = σc-Fcircumference

What is meant by circumferential stress?

Circumferential stress, or hoop stress, normal stress in the tangential (azimuth) direction. axial stress, a normal stress parallel to the axis of cylindrical symmetry. radial stress, normal stress in directions coplanar with but perpendicular to the symmetry axis.

How to Calculate Resultant stress in cylinder?

Resultant stress in cylinder calculator uses Resultant Stress = Circumferential Stress due to Fluid Pressure-Compressive Circumferential Stress to calculate the Resultant Stress, The Resultant stress in cylinder formula is defined as elongation of material when stretching force is applied along with axis of applied force. Resultant Stress is denoted by σR symbol.

How to calculate Resultant stress in cylinder using this online calculator? To use this online calculator for Resultant stress in cylinder, enter Circumferential Stress due to Fluid Pressure c) & Compressive Circumferential Stress (Fcircumference) and hit the calculate button. Here is how the Resultant stress in cylinder calculation can be explained with given input values -> -7.5E-6 = 2000-7500000.

FAQ

What is Resultant stress in cylinder?
The Resultant stress in cylinder formula is defined as elongation of material when stretching force is applied along with axis of applied force and is represented as σR = σc-Fcircumference or Resultant Stress = Circumferential Stress due to Fluid Pressure-Compressive Circumferential Stress. Circumferential stress due to fluid pressure is a kind of tensile stress exerted on cylinder due to fluid pressure & Compressive Circumferential Stress or hoop stress is a normal stress in the tangential (azimuth) direction. axial stress, a normal stress parallel to the axis of cylindrical symmetry.
How to calculate Resultant stress in cylinder?
The Resultant stress in cylinder formula is defined as elongation of material when stretching force is applied along with axis of applied force is calculated using Resultant Stress = Circumferential Stress due to Fluid Pressure-Compressive Circumferential Stress. To calculate Resultant stress in cylinder, you need Circumferential Stress due to Fluid Pressure c) & Compressive Circumferential Stress (Fcircumference). With our tool, you need to enter the respective value for Circumferential Stress due to Fluid Pressure & Compressive Circumferential Stress 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 Resultant Stress?
In this formula, Resultant Stress uses Circumferential Stress due to Fluid Pressure & Compressive Circumferential Stress. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Resultant Stress = Initial Winding Stress+Stress in wire due to fluid pressure
  • Resultant Stress = Initial Winding Stress+Stress in wire due to fluid pressure
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