- #1
Air
- 203
- 0
Homework Statement
Find the maximum shear stress for [tex]\sigma _{xx} = 120 MN/m^2, \sigma _{yy} = 50 MN/m^2, \tau _{xy} = 40 MN/m^2[/tex]
Homework Equations
[tex]\sigma _{min} = 0.5(\sigma _{xx}+\sigma _{yy})-0.5((\sigma _{xx}-\sigma _{yy})^2+4\tau _{xy} ^2 )^{0.5} = 31.8[/tex]
[tex]\sigma _{max} = 0.5(\sigma _{xx}+\sigma _{yy})+0.5((\sigma _{xx}-\sigma _{yy})^2+4\tau _{xy} ^2 )^{0.5} = 138.2[/tex]
The Attempt at a Solution
[tex]0.5(\sigma _{max} - \sigma _{min}) = 53.1[/tex] 4. Problem
However, the correct answer states [tex]0.5(\sigma _{max} - 0) = 69.1[/tex]. Why is [tex]0[/tex] taken as the minimum shear stress?