UC (4)

Author: RoelSchipper

book/_toc.yml

@@ -109,8 +109,6 @@ parts:
     - file: calculation_examples/safety/intro_safety
       sections:
       - file: calculation_examples/safety/reliability_index
-      - file: calculation_examples/safety/effect_vs_resistance_old
-      - file: calculation_examples/safety/unity_check
       - file: calculation_examples/safety/CS_23_24_safety
     - file: calculation_examples/LCA/LCA
       sections:

book/calculation_examples/safety/effect_vs_resistance_old.ipynb

@@ -10,7 +10,7 @@
     "\n",
     "```{figure} Images/E_R_curves_highgamma_uc0.81_Z_values.png\n",
     "--- \n",
-    "scale: 80%\n",
+    "scale: 85%\n",
     "name: E_R_Z_curves_example\n",
     "---\n",
     "E, R, and Z function with numerical example\n",
@@ -179,8 +179,8 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "## Dynamic graphs of $\\beta$\n",
-    "Using the dynamic graphs below, you can see what the influence is of modifying the values for $\\mu_R$ or $\\sigma_R$:"
+    "## Dynamic graphs of $\\beta$ and u.c.\n",
+    "Using the dynamic graphs below, you can see what the influence is of modifying the values for $\\mu_R$ or $\\sigma_R$ on the magnitude of $\\beta$ and the unity check u.c.:"
    ]
   },
   {
@@ -480,6 +480,13 @@
     "fig.show()"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "The dynamic graph illustrates the following: if the average of the blue R-function shifts to a *lower* value, the reliability index $\\beta$ becomes smaller, and the unity check becomes larger. If the average of the blue R-function shifts to a *higher* value, the reliability index $\\beta$ becomes larger, and the unity check becomes smaller."
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": 168,
@@ -791,6 +798,13 @@
     "\n",
     "fig.show()"
    ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "The dynamic graph above illustrates the following: if the performance (capacity, resistance) of a material becomes more uncertain, e.g. due to a wider spread of test results of material properties or due to a wider spread of cross-sectional dimensions, $\\sigma_R$ becomes larger. Even without change of the average value $\\mu_R$, the safety of the structure will become lower (value of $\\beta$ drops and u.c. increases). Vice versa, with smaller spread of R, safety will increase."
+   ]
   }
  ],
  "metadata": {