Supported by the following organizations
This is to certify that V. J. Elizabeth Rani successfully completed and received a passing grade in 3.032.2x: Mechanical Behavior of Materials, Part 2: Stress Transformations, Beams, Columns, and Cellular Solids a course of study offered by MITx, an online learning initiative of the Massachusetts Institute of Technology.
Noted by
Lorna J. Gibson
Matoula S. Salapatas Professor of Materials Science and Engineering Massachusetts Institute of Technology
Krishna Rajagopal
Dean for Digital Learning Massachusetts Institute of Technology
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- Verified Certificate Issued June 29, 2020
- Valid Certificate ID 4fd49deb41c34cadb32bb7bc40582fe8