# Von Mises Stress Calculator

In machine designing, von mises stress (σ_{v}) 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 σ_{v} based on normal and shear stress.

In machine designing, von mises stress (σ_{v}) 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 σ_{v} based on normal and shear stress.

Code to add this calci to your website

#### Formula:

(σ_{v}) = √(σ_{x}^{2} - (σ_{x} x σ_{y}) + σ_{y}^{2} + (3 ×τ_{xy}^{2}))
**Where,**
σ_{v} = Von Mises Stress
σ_{x}, σ_{y} = Normal Stress
τ_{xy} = Shear Stress
### Example:

Calculate von mises stress for normal stress (σ_{x}) and (σ_{y}) as 7 Pa and 5 Pa and shear stress (τ_{xy}) as 9 Pa.

#### Solution:

σ_{v} = √(7^{2} - (7 x 5) + 5^{2} (3 × 9^{2}))

= 16.7929 Pa