Project ForgeFour plots M1, M2, M3, M4 show candidate Mohr's-circle representations of a plane stress state, with the center of each circle marked O. In M1 and M3 the center O lies on the σ-axis; in M2 and M4 the center O is offset above the σ-axis. Which of the plot(s) is/are valid Mohr's circle representations of a plane stress state?
- M1
- BM2
- M3
- DM4
Explanation
A Mohr's circle for a 2-D plane stress state always has its center on the σ-axis, at ((σx+σy)/2, 0), because the center's shear-stress coordinate is identically zero by construction. M1 and M3 satisfy this (centers on the σ-axis) and are valid; M2 and M4 show centers offset off the σ-axis, which cannot represent a real plane stress state.
Source: GATE ME 2023 Official Paper (2023)
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