Minor principal stress in thin cylindrical stress given maximum shear stress Calculator

✖The Major Principal Stress Value.ⓘ Major Principal Stress [σ_max]			+10% -10%
✖Maximum shear stress that acts coplanar with cross section of material, arises due to shear forces.ⓘ Maximum shear stress [𝜏_max]			+10% -10%

✖The Minor Principal Stress Value is denoted by the symbol σ_min.ⓘ Minor principal stress in thin cylindrical stress given maximum shear stress [σ_min]

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Minor principal stress in thin cylindrical stress given maximum shear stress

Formula

`"σ"_{"min"} = "σ"_{"max"}-(2*"𝜏"_{"max"})`

Example

`"0.84MPa"="0.9MPa"-(2*"0.03MPa")`

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Minor principal stress in thin cylindrical stress given maximum shear stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Minor Principal Stress = Major Principal Stress-(2*Maximum shear stress)
σ_min = σ_max-(2*𝜏_max)
This formula uses 3 Variables

Variables Used

Minor Principal Stress - (Measured in Pascal) - The Minor Principal Stress Value is denoted by the symbol σ_min.
Major Principal Stress - (Measured in Pascal) - The Major Principal Stress Value.
Maximum shear stress - (Measured in Pascal) - Maximum shear stress that acts coplanar with cross section of material, arises due to shear forces.

STEP 1: Convert Input(s) to Base Unit

Major Principal Stress: 0.9 Megapascal --> 900000 Pascal (Check conversion here)
Maximum shear stress: 0.03 Megapascal --> 30000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_min = σ_max-(2*𝜏_max) --> 900000-(2*30000)

Evaluating ... ...

σ_min = 840000

STEP 3: Convert Result to Output's Unit

840000 Pascal -->0.84 Megapascal (Check conversion here)

FINAL ANSWER

0.84 Megapascal <-- Minor Principal Stress

(Calculation completed in 00.004 seconds)

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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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< 5 Thin Cylindrical Vessel Subjected to Internal Fluid Pressure and Torque Calculators

Major principal stress in thin cylindrical stress

Go Major Principal Stress = ((Hoop Stress in Thin shell+Longitudinal Stress)/2)+(sqrt((((Hoop Stress in Thin shell+Longitudinal Stress)/2)^2)+(Shear Stress in Cylindrical Shell^2)))

Minor principal stress in thin cylindrical stress

Go Minor Principal Stress = ((Hoop Stress in Thin shell+Longitudinal Stress)/2)-(sqrt((((Hoop Stress in Thin shell+Longitudinal Stress)/2)^2)+(Shear Stress in Cylindrical Shell^2)))

Maximum shear stress in thin cylindrical stress

Go Maximum shear stress = (1/2)*(Major Principal Stress-Minor Principal Stress)

Major principal stress in thin cylindrical stress given maximum shear stress

Go Major Principal Stress = (2*Maximum shear stress)+Minor Principal Stress

Minor principal stress in thin cylindrical stress given maximum shear stress

Go Minor Principal Stress = Major Principal Stress-(2*Maximum shear stress)

Minor principal stress in thin cylindrical stress given maximum shear stress Formula

Minor Principal Stress = Major Principal Stress-(2*Maximum shear stress)
σ_min = σ_max-(2*𝜏_max)

What is tensile strength with example?

Tensile strength is a measurement of the force required to pull something such as rope, wire, or a structural beam to the point where it breaks. The tensile strength of a material is the maximum amount of tensile stress that it can take before failure, for example, breaking.

How to Calculate Minor principal stress in thin cylindrical stress given maximum shear stress?

Minor principal stress in thin cylindrical stress given maximum shear stress calculator uses Minor Principal Stress = Major Principal Stress-(2*Maximum shear stress) to calculate the Minor Principal Stress, Minor principal stress in thin cylindrical stress given maximum shear stress is the minor normal stress acting on the principle plane. Minor Principal Stress is denoted by σ_min symbol.

How to calculate Minor principal stress in thin cylindrical stress given maximum shear stress using this online calculator? To use this online calculator for Minor principal stress in thin cylindrical stress given maximum shear stress, enter Major Principal Stress (σ_max) & Maximum shear stress (𝜏_max) and hit the calculate button. Here is how the Minor principal stress in thin cylindrical stress given maximum shear stress calculation can be explained with given input values -> 8.4E-7 = 900000-(2*30000).

FAQ

What is Minor principal stress in thin cylindrical stress given maximum shear stress?

Minor principal stress in thin cylindrical stress given maximum shear stress is the minor normal stress acting on the principle plane and is represented as σ_min = σ_max-(2*𝜏_max) or Minor Principal Stress = Major Principal Stress-(2*Maximum shear stress). The Major Principal Stress Value & Maximum shear stress that acts coplanar with cross section of material, arises due to shear forces.

How to calculate Minor principal stress in thin cylindrical stress given maximum shear stress?

Minor principal stress in thin cylindrical stress given maximum shear stress is the minor normal stress acting on the principle plane is calculated using Minor Principal Stress = Major Principal Stress-(2*Maximum shear stress). To calculate Minor principal stress in thin cylindrical stress given maximum shear stress, you need Major Principal Stress (σ_max) & Maximum shear stress (𝜏_max). With our tool, you need to enter the respective value for Major Principal Stress & Maximum shear 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 Minor Principal Stress?

In this formula, Minor Principal Stress uses Major Principal Stress & Maximum shear stress. We can use 1 other way(s) to calculate the same, which is/are as follows -

Minor Principal Stress = ((Hoop Stress in Thin shell+Longitudinal Stress)/2)-(sqrt((((Hoop Stress in Thin shell+Longitudinal Stress)/2)^2)+(Shear Stress in Cylindrical Shell^2)))

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