Maximum shear stress in thin cylindrical stress Calculator

✖The Major Principal Stress Value.ⓘ Major Principal Stress [σ_max]			+10% -10%
✖The Minor Principal Stress Value is denoted by the symbol σ_min.ⓘ Minor Principal Stress [σ_min]			+10% -10%

✖Maximum shear stress that acts coplanar with cross section of material, arises due to shear forces.ⓘ Maximum shear stress in thin cylindrical stress [𝜏_max]

⎘ Copy

👎

Formula

✖

Maximum shear stress in thin cylindrical stress

Formula

`"𝜏"_{"max"} = (1/2)*("σ"_{"max"}-"σ"_{"min"})`

Example

`"0.41MPa"=(1/2)*("0.9MPa"-"0.08MPa")`

Calculator

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

Maximum shear stress in thin cylindrical stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum shear stress = (1/2)*(Major Principal Stress-Minor Principal Stress)
𝜏_max = (1/2)*(σ_max-σ_min)
This formula uses 3 Variables

Variables Used

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

Major Principal Stress: 0.9 Megapascal --> 900000 Pascal (Check conversion here)
Minor Principal Stress: 0.08 Megapascal --> 80000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏_max = (1/2)*(σ_max-σ_min) --> (1/2)*(900000-80000)

Evaluating ... ...

𝜏_max = 410000

STEP 3: Convert Result to Output's Unit

410000 Pascal -->0.41 Megapascal (Check conversion here)

FINAL ANSWER

0.41 Megapascal <-- Maximum shear stress

(Calculation completed in 00.020 seconds)

You are here -

Home » Physics » Strength of Materials » Thin Cylinders And Spheres » Thin Cylindrical Vessel Subjected to Internal Fluid Pressure and Torque » Maximum shear stress in thin cylindrical stress

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 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)

Maximum shear stress in thin cylindrical stress Formula

Maximum shear stress = (1/2)*(Major Principal Stress-Minor Principal Stress)
𝜏_max = (1/2)*(σ_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 Maximum shear stress in thin cylindrical stress?

Maximum shear stress in thin cylindrical stress calculator uses Maximum shear stress = (1/2)*(Major Principal Stress-Minor Principal Stress) to calculate the Maximum shear stress, The maximum shear stress in thin cylindrical stress formula is defined as component of stress coplanar with material cross-section. It arises from sheer force, component of force vector parallel to material cross-section. Maximum shear stress is denoted by 𝜏_max symbol.

How to calculate Maximum shear stress in thin cylindrical stress using this online calculator? To use this online calculator for Maximum shear stress in thin cylindrical stress, enter Major Principal Stress (σ_max) & Minor Principal Stress (σ_min) and hit the calculate button. Here is how the Maximum shear stress in thin cylindrical stress calculation can be explained with given input values -> 4.1E-7 = (1/2)*(900000-80000).

FAQ

What is Maximum shear stress in thin cylindrical stress?

How to calculate Maximum shear stress in thin cylindrical stress?

The maximum shear stress in thin cylindrical stress formula is defined as component of stress coplanar with material cross-section. It arises from sheer force, component of force vector parallel to material cross-section is calculated using Maximum shear stress = (1/2)*(Major Principal Stress-Minor Principal Stress). To calculate Maximum shear stress in thin cylindrical stress, you need Major Principal Stress (σ_max) & Minor Principal Stress (σ_min). With our tool, you need to enter the respective value for Major Principal 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.

Home

FREE PDFs

🔍 Search