Section: Solid Mechanics | Marks: 2
The state of stress at the critical location in a structure is ๐๐ฅ๐ฅ = 420 MPa, ๐๐ฆ๐ฆ = 100 MPa, ๐๐ง๐ง= ๐๐ฅ๐ฆ = ๐๐ฆ๐ง= ๐๐ง๐ฅ= 0. The yield stress of the material in uniaxial tension is 400 MPa. Select the correct statement among the following.
- A. The structure is safe by both Tresca (maximum shear stress) theory and von-Mises (distortion energy) theory.
- B. The structure is safe by Tresca (maximum shear stress) theory and unsafe by von-Mises (distortion energy) theory.
- C. The structure is unsafe by Tresca (maximum shear stress) theory and safe by von-Mises (distortion energy) theory.
- D. The structure is unsafe by both Tresca (maximum shear stress) theory and von-Mises (distortion energy) theory.
Answer: C. The structure is unsafe by Tresca (maximum shear stress) theory and safe by von-Mises (distortion energy) theory.