Discussion
Considering the two-dimensional stress, (\(\sigma\)), the normal stresses are expressed as ....................... and the shear stresses are ..................... .
Answer: B
The normal stresses are \(\sigma_{xx}\) and \(\sigma_{yy}\); the shear stresses are \(\sigma_{xy}\) and \(\sigma_{yx}\).
In index notation the first subscript names the plane (by its normal) and the second the direction of the stress component. When both indices are the same, the stress acts perpendicular to the plane, so it is a normal stress; when they differ, it acts along the plane, so it is a shear stress. In two dimensions (x, y) the stress tensor is therefore \(\sigma_{xx}, \sigma_{xy}, \sigma_{yx}, \sigma_{yy}\), with \(\sigma_{xy} = \sigma_{yx}\) for equilibrium.
The other options either swap normal and shear stresses or bring in a z index, which does not belong to a two-dimensional stress state.
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development