calculate reaction forces at A

kangwonlee · Dec 6, 2024 · d5100a0 · d5100a0
1 parent d46fcc1
commit d5100a0
Showing 1 changed file with 66 additions and 4 deletions.
diff --git a/60_linear_algebra_2/127_Truss_Section_Method.ipynb b/60_linear_algebra_2/127_Truss_Section_Method.ipynb
@@ -2,9 +2,10 @@
  "cells": [
   {
    "cell_type": "markdown",
+   "id": "eb2204d4",
    "metadata": {
-    "id": "view-in-github",
-    "colab_type": "text"
+    "colab_type": "text",
+    "id": "view-in-github"
    },
    "source": [
     "<a href=\"https://colab.research.google.com/github/kangwonlee/nmisp/blob/truss-example/60_linear_algebra_2/127_Truss_Section_Method.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>\n"
@@ -13,6 +14,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
+   "id": "cc57ebcd",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -23,6 +25,7 @@
   },
   {
    "cell_type": "markdown",
+   "id": "95df90d9",
    "metadata": {},
    "source": [
     "## Truss\n",
@@ -32,6 +35,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
+   "id": "730ff013",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -48,6 +52,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
+   "id": "226a4774",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -67,6 +72,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
+   "id": "2c6f5931",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -116,32 +122,88 @@
   },
   {
    "cell_type": "markdown",
+   "id": "480740a9-c421-4d49-8978-0acf1444ec6c",
    "metadata": {},
    "source": [
     "### Reaction forces\n",
     "\n"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "id": "8ca7d426-c465-46f2-bc5b-81cce2a2f74b",
+   "metadata": {},
+   "source": [
+    "#### Moment around A\n",
+    "\n"
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": null,
+   "id": "0a881ec7-656b-4365-b718-5f0ad1328b79",
    "metadata": {},
    "outputs": [],
    "source": [
     "RGy = (\n",
     "    (\n",
     "        points[2, 0] * 1\n",
     "        + points[4, 0] * 2\n",
-    "    )\n",
+    "    ) \n",
     "    / points[5, 0]\n",
     ")\n",
     "RGy\n",
     "\n"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "id": "3e498bc5-d8cf-483a-9146-54661f610642",
+   "metadata": {},
+   "source": [
+    "Reaction force at G\n",
+    "\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "50e14a8e-9a53-4173-bb46-da2ac36e7619",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "RAy = 3 - RGy\n",
+    "RAy\n",
+    "\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "34b6b8d8-174a-489f-9f65-5d48fc0eb4d1",
+   "metadata": {},
+   "source": [
+    "#### Moment around G\n",
+    "\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "0cc990c5-ecf0-477d-bf05-ef14fce7a6f8",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "RAx = (points[5, 0] - points[4, 0]) * 2\n",
+    "+ (points[5, 0] - points[2, 0]) * 1\n",
+    "- (points[5, 0] - points[0, 0]) * RAy\n",
+    "RAx\n",
+    "\n"
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": null,
+   "id": "81ce2c0a",
    "metadata": {},
    "outputs": [],
    "source": []
@@ -168,4 +230,4 @@
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-}
+}