Computer · Mechanics of Materials
In a two-dimensional stress analysis, the state of stress at a point is given such that on three planes forming a triangle PQR, the lengths of PQ, QR, and RP are 4, 3, and 5 units, respectively. If the normal stresses on PQ and QR are 120 MPa (tensile) and 80 MPa (tensile) respectively, and the shear stress is zero on these planes, determine the principal stresses.
- 1σx = 16.0 MPa, σy = 138.5 MPa
- 2σx = 67.5 MPa, σy = 213.3 MPa
- 3σx = 54.0 MPa, σy = 128.5 MPa
- 4σx = 26.7 MPa, σy = 172.5 MPa✓
Correct answer
σx = 26.7 MPa, σy = 172.5 MPa
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