Resultant stress in cylinder Calculator

✖Circumferential stress due to fluid pressure is a kind of tensile stress exerted on cylinder due to fluid pressure.ⓘ Circumferential stress due to fluid pressure [σ_c]			+10% -10%
✖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.ⓘ Compressive Circumferential Stress [F_{circumference}]			+10% -10%

✖Resultant Stress is the simplified representation of stress.ⓘ Resultant stress in cylinder [σ_R]

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Formula

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Resultant stress in cylinder

Formula

`"σ"_{"R"} = "σ"_{"c"}-"F"_{"circumference"}`

Example

`"-7.498MPa"="0.002MPa"-"7.5MPa"`

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Resultant stress in cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resultant Stress = Circumferential stress due to fluid pressure-Compressive Circumferential Stress
σ_R = σ_c-F_{circumference}
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

σ_R = σ_c-F_{circumference} --> 2000-7500000

Evaluating ... ...

σ_R = -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 00.020 seconds)

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Home » Physics » Strength of Materials » Thin Cylinders And Spheres » Wire Winding of Thin Cylinders » Stress » Resultant stress in cylinder

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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< 21 Stress Calculators

Circumferential stress in cylinder due to fluid given bursting force due to fluid pressure

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)

Stress in wire due to fluid pressure given bursting force due to fluid pressure

Go Stress in wire due to fluid pressure = ((Force/Length of wire)-(2*Thickness Of Wire*Circumferential stress due to fluid pressure))/((pi/2)*Diameter of Wire)

Longitudinal stress in cylinder given circumferential strain in cylinder

Go Longitudinal Stress = (Circumferential stress due to fluid pressure-(Circumferential strain*Young's Modulus Cylinder))/(Poisson's Ratio)

Circumferential stress in cylinder given circumferential strain in cylinder

Go Circumferential stress due to fluid pressure = (Circumferential strain*Young's Modulus Cylinder)+(Poisson's Ratio*Longitudinal Stress)

Initial winding stress in wire given compressive circumferential stress exerted by wire

Go Initial Winding Stress = (Compressive Circumferential Stress*(4*Thickness Of Wire))/(pi*Diameter of Wire)

Compressive circumferential stress exerted by wire given initial winding stress in wire

Go Compressive Circumferential Stress = (pi*Diameter of Wire*Initial Winding Stress)/(4*Thickness Of Wire)

Initial winding stress in wire given initial tensile force in wire

Go Initial Winding Stress = Force/((Number of turns of wire*((pi/2)*(Diameter of Wire^2))))

Stress in wire due to fluid pressure given resisting force on wire and diameter of wire

Go Stress in wire due to fluid pressure = Force/(Length of wire*(pi/2)*Diameter of Wire)

Stress in wire due to fluid pressure given resisting force of wire per cm length

Go Stress in wire due to fluid pressure = (2*Force)/(Length of wire*pi*Diameter of Wire)

Initial winding stress in wire given initial tensile force in wire and length of wire

Go Initial Winding Stress = Force/(Length of wire*(pi/2)*Diameter of Wire)

Stress in wire due to fluid pressure given resisting force on wire

Go Stress in wire due to fluid pressure = Force/(Number of turns of wire*(2*Cross-Sectional Area Wire))

Compressive circumferential stress exerted by wire on cylinder given compressive force

Go Compressive Circumferential Stress = Compressive Force/(2*Length of wire*Thickness Of Wire)

Circumferential stress due to fluid pressure given resisting force of cylinder

Go Circumferential stress due to fluid pressure = Force/(2*Length of wire*Thickness Of Wire)

Longitudinal stress in wire due to fluid pressure

Go Longitudinal Stress = ((Internal Pressure*Diameter of Cylinder)/(4*Thickness Of Wire))

Compressive circumferential stress exerted by wire given resultant stress in cylinder

Go Compressive Circumferential Stress = Circumferential stress due to fluid pressure-Resultant Stress

Circumferential stress due to fluid pressure given resultant stress in cylinder

Go Circumferential stress due to fluid pressure = Resultant Stress+Compressive Circumferential Stress

Resultant stress in cylinder

Go Resultant Stress = Circumferential stress due to fluid pressure-Compressive Circumferential Stress

Stress developed in wire due to fluid pressure given strain in wire

Go Stress in wire due to fluid pressure = Young's Modulus Cylinder*Stress in Component

Stress developed in wire due to fluid pressure given resultant stress in wire

Go Stress in wire due to fluid pressure = Resultant Stress-Initial Winding Stress

Initial winding stress in wire given resultant stress in wire

Go Initial Winding Stress = Resultant Stress-Stress in wire due to fluid pressure

Resultant stress in wire

Go Resultant Stress = Initial Winding Stress+Stress in wire due to fluid pressure

Resultant stress in cylinder Formula

Resultant Stress = Circumferential stress due to fluid pressure-Compressive Circumferential Stress
σ_R = σ_c-F_{circumference}

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 σ_R 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 (σ_c) & Compressive Circumferential Stress (F_{circumference}) 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 σ_R = σ_c-F_{circumference} 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 (σ_c) & Compressive Circumferential Stress (F_{circumference}). 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 1 other way(s) to calculate the same, which is/are as follows -

Resultant Stress = Initial Winding Stress+Stress in wire due to fluid pressure

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