## Mohr Circle Analysis and Test Data Overview ### Mohr Circles Graph **Graph Description:** - The graph is titled "Mohr Circles." - Axes: - **X-axis:** Normal Stress (PSI) - **Y-axis:** Shear Stress (PSI) - The graph includes a dashed line labeled "Mohr-Coulomb Envelope," indicating the linear failure envelope used in shear strength analysis. ### Test Data Table **TEST DATA:** - Three tests are conducted with given parameters: | | Total Confining Stress (σ3) PSI | Shear Stress (σs) PSI | Excess Shear (σe) PSI | |----------|----------------------------------|-----------------------|-----------------------| | **Test 1** | 17.3 | 15.2 | 5.0 | | **Test 2** | 19.6 | 23.2 | 9.4 | | **Test 3** | 28.7 | 33.2 | 19.2 | ### Mohr Circle Construction Parameters **Parameters Table:** - These parameters are used to construct Mohr circles based on angle (θ) variations. | Theta (deg) | cos(2θ) | sin(2θ) | |-------------|---------|---------| | 0 | 1.000 | 0.000 | | 10 | 0.985 | 0.174 | | 20 | 0.940 | 0.342 | | ... | ... | ... | | 180 | -1.000 | 0.000 | ### Mohr Circle Result Tables **TOTAL STRESS MOHR CIRCLES** and **EFFECTIVE STRESS MOHR CIRCLES:** - There are six columns; three for each test result. Placeholder information is present for `σn`, `σs`, and `τ` (normal stress, shear stress, and centroid radius, respectively). The specific values are yet to be filled. ### Educational Notes - **Mohr's Circle** is a graphical method to represent the state of stress at a point. It’s particularly useful for visualizing relationships among normal and shear stresses, and ultimately determining failure conditions based

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