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

✖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 [σ_min]			+10% -10%

✖The Major Principal Stress Value.ⓘ Major principal stress in thin cylindrical stress given maximum shear stress [σ_max]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Minor Principal Stress - (Measured in Pascal) - The Minor Principal Stress Value is denoted by the symbol σ_min.

STEP 1: Convert Input(s) to Base Unit

Maximum shear stress: 0.03 Megapascal --> 30000 Pascal (Check conversion here)
Minor Principal Stress: 0.08 Megapascal --> 80000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_max = (2*𝜏_max)+σ_min --> (2*30000)+80000

Evaluating ... ...

σ_max = 140000

STEP 3: Convert Result to Output's Unit

140000 Pascal -->0.14 Megapascal (Check conversion here)

FINAL ANSWER

0.14 Megapascal <-- Major 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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< Thin Cylindrical Vessel Subjected to Internal Fluid Pressure and Torque Calculators

Major principal stress in thin cylindrical stress

LaTeX 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

LaTeX 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

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

Major principal stress in thin cylindrical stress given maximum shear stress

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

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

LaTeX Go

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

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 Major principal stress in thin cylindrical stress given maximum shear stress?

Major principal stress in thin cylindrical stress given maximum shear stress calculator uses Major Principal Stress = (2*Maximum shear stress)+Minor Principal Stress to calculate the Major Principal Stress, The Major principal stress in thin cylindrical stress given maximum shear stress formula is defined as the major normal stress acting on the principle plane. Major Principal Stress is denoted by σ_max symbol.

How to calculate Major principal stress in thin cylindrical stress given maximum shear stress using this online calculator? To use this online calculator for Major principal stress in thin cylindrical stress given maximum shear stress, enter Maximum shear stress (𝜏_max) & Minor Principal Stress (σ_min) and hit the calculate button. Here is how the Major principal stress in thin cylindrical stress given maximum shear stress calculation can be explained with given input values -> 1.4E-7 = (2*30000)+80000.

FAQ

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

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

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

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

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

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)))

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