Von Mises Stress Calculator

In machine designing, von mises stress (σv) is a scalar stress value used by designers to identify whether their designs can withstand the given load condition. The concept of von mises stress is derived from distortion energy failure theory. It applies to test the isotropic and ductile materials such as metals, and determine whether it will yield when directed towards complex loading condition. Use the below von mises stress calculator to σv based on normal and shear stress.

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In machine designing, von mises stress (σv) is a scalar stress value used by designers to identify whether their designs can withstand the given load condition. The concept of von mises stress is derived from distortion energy failure theory. It applies to test the isotropic and ductile materials such as metals, and determine whether it will yield when directed towards complex loading condition. Use the below von mises stress calculator to σv based on normal and shear stress.

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Formula:

(σv) = √(σx2 - (σx x σy) + σy2 + (3 ×τxy2)) Where, σv = Von Mises Stress σx, σy = Normal Stress τxy = Shear Stress

Example:

Calculate von mises stress for normal stress (σx) and (σy) as 7 Pa and 5 Pa and shear stress (τxy) as 9 Pa.

Solution:

σv = √(72 - (7 x 5) + 52 (3 × 92))
= 16.7929 Pa

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