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national institute of technology hamirpur (NITH ), hamirpur , himachal pradesh
sanjay shiva has created this Calculator and 10+ more calculators!
Sardar Patel College of Engineering (SPCE), Mumbai
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Cylinder hoop stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
hoop_stress = Internal Pressure*Inner Diameter of Cylinder/(2*Wall thickness)
σθ = Pi*Di/(2*t)
This formula uses 3 Variables
Variables Used
Internal Pressure - Internal pressure is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature. (Measured in Newton per Square Millimeter)
Inner Diameter of Cylinder - Inner Diameter of Cylinder is the diameter of the inside of the cylinder. (Measured in Millimeter)
Wall thickness - Wall thickness is simply the width of the wall that we are taking under consideration. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Internal Pressure: 10 Newton per Square Millimeter --> 10000000 Pascal (Check conversion here)
Inner Diameter of Cylinder: 50 Millimeter --> 0.05 Meter (Check conversion here)
Wall thickness: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σθ = Pi*Di/(2*t) --> 10000000*0.05/(2*5)
Evaluating ... ...
σθ = 50000
STEP 3: Convert Result to Output's Unit
50000 Pascal -->50000 Newton per Square Meter (Check conversion here)
FINAL ANSWER
50000 Newton per Square Meter <-- Hoop Stress
(Calculation completed in 00.016 seconds)
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2 Playground Calculators

Cylinder hoop stress
hoop_stress = Internal Pressure*Inner Diameter of Cylinder/(2*Wall thickness) Go
Bending stress on column ss
bending_stress = Maximum Force/Cross sectional area Go

Cylinder hoop stress Formula

hoop_stress = Internal Pressure*Inner Diameter of Cylinder/(2*Wall thickness)
σθ = Pi*Di/(2*t)

What is hoop stress?

Hoop stress (σh) is mechanical stress defined for rotationally symmetric objects such as pipe or tubing.

How to Calculate Cylinder hoop stress?

Cylinder hoop stress calculator uses hoop_stress = Internal Pressure*Inner Diameter of Cylinder/(2*Wall thickness) to calculate the Hoop Stress, The cylinder hoop stress formula is defined as the stress that occurs along the pipe's circumference when pressure is applied. Hoop stress acts perpendicular to the axial direction. Hoop Stress is denoted by σθ symbol.

How to calculate Cylinder hoop stress using this online calculator? To use this online calculator for Cylinder hoop stress, enter Internal Pressure (Pi), Inner Diameter of Cylinder (Di) & Wall thickness (t) and hit the calculate button. Here is how the Cylinder hoop stress calculation can be explained with given input values -> 50000 = 10000000*0.05/(2*5).

FAQ

What is Cylinder hoop stress?
The cylinder hoop stress formula is defined as the stress that occurs along the pipe's circumference when pressure is applied. Hoop stress acts perpendicular to the axial direction and is represented as σθ = Pi*Di/(2*t) or hoop_stress = Internal Pressure*Inner Diameter of Cylinder/(2*Wall thickness). Internal pressure is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature, Inner Diameter of Cylinder is the diameter of the inside of the cylinder & Wall thickness is simply the width of the wall that we are taking under consideration.
How to calculate Cylinder hoop stress?
The cylinder hoop stress formula is defined as the stress that occurs along the pipe's circumference when pressure is applied. Hoop stress acts perpendicular to the axial direction is calculated using hoop_stress = Internal Pressure*Inner Diameter of Cylinder/(2*Wall thickness). To calculate Cylinder hoop stress, you need Internal Pressure (Pi), Inner Diameter of Cylinder (Di) & Wall thickness (t). With our tool, you need to enter the respective value for Internal Pressure, Inner Diameter of Cylinder & Wall thickness 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 Internal Pressure, Inner Diameter of Cylinder & Wall thickness. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • bending_stress = Maximum Force/Cross sectional area
  • hoop_stress = Internal Pressure*Inner Diameter of Cylinder/(2*Wall thickness)
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