Week 7 - Wall Forms - Using Tables.ipynb

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   "source": [
    "# Wall Forms - Using Formwork Tables"
   ]
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   "source": [
    "## What Tables?"
   ]
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    "<audio controls data-autoplay preload>\n",
    " <source src=\"https://github.com/damontallen/Construction-Lectures-Fall-2014/raw/master/Lecture%20Audio/Week%207/Wall%20Form%20Design%20Using%20Tables/What%20Tables.mp3\"\n",
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   "source": [
    "As an alternative to a strictly analytically approach, there are tables in the Formwork text that you can use.  These tables however, are limited to a smaller selection of material.  For instance, instead of plywood you will have to design using Class I Plyform if you use Table 9.3.\n",
    "\n",
    "Table 9.3 has values for 1/2\" to 1\", wet, Class I Plyform, with both $C_D = 1.0$ and $C_D = 1.25$, in either the strong, or weak orientation.  This is the only material used, in the Formwork text tables of pre-calculated span limits for sheathing.  There are other sheathing tables but they are for other support conditions, and we are only interested in sheathing supported over three or more spans.\n",
    "\n",
    "Tables 9.6.1 through 9.8.4 are similar to the sheathing tables except for beams.  Each table contains span limit lengths for a variety of beam sizes, for a particular set of support conditions, load duration factor ($1.0$ or $1.25$), and about half a dozen different lumber species.  The table headers clearly show all of this information.\n",
    "\n",
    "Tables 9.9.1 through 9.11.2 are broken down like the single beam tables but cover double wales.  \n",
    "\n",
    "We haven't done any shoring calculations yet, but Table 9.12.1 and 2 contains allowable axial loads of a variety of species, sizes, and effective lengths.  However, the values in this table are all found using a $C_D=1.0$.  This is not unreasonable since you are much more likely to reuse shores which means their capacity would have to be calculated using a $C_D=1.0$ anyway.  We will talk more about the 9.12 Tables in the slab form modules.\n",
    "\n",
    "I will not be spending any time beyond now talking about the allowable bearing values found in Table 9.13.  I think you can figure it out by yourself, and I actually think it would be quicker calculating the values form the Timber code than using this Table.  Either way, be aware that you are responsible for using the correct (or newer) version of the building code. \n"
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   "source": [
    "# Wall Form"
   ]
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   "source": [
    "<audio controls data-autoplay preload>\n",
    " <source src=\"https://github.com/damontallen/Construction-Lectures-Fall-2014/raw/master/Lecture%20Audio/Week%207/Wall%20Form%20Design%20Using%20Tables/Wall%20Form.mp3\"\n",
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   "source": [
    "Just so we can see the process of using these tables, lets rework the previous wall form problem.  We still have to calculate the concrete pressure (and later, the line loads)."
   ]
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   },
   "source": [
    "## Example Problem"
   ]
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   "source": [
    "Lateral Pressure from concrete, Max $P = 150 pcf \\times h$\n",
    "\n",
    "Pour Rate: $R\\le 7 \\frac{ft}{hr}$\n",
    "\n",
    "$\\hspace{4 cm} P = 150 +\\frac{9000 R}{T} \\le 150 pcf \\times h$\n",
    "\n",
    "Pour Rate: $ 7 \\frac{ft}{hr}< R \\le 10 \\frac{ft}{hr}$\n",
    "\n",
    "$\\hspace{4 cm} P = 150 +\\frac{43,400}{T} +\\frac{2800 R}{T} \\le 150 pcf \\times h$\n",
    "\n",
    "Pour Rate: $R> 10 \\frac{ft}{hr}$\n",
    "\n",
    "$\\hspace{4 cm} P = 150 pcf \\times h \\text{ (Maximum Pressure)}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
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   },
   "source": [
    "## Determine the Following"
   ]
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   "source": [
    "<audio controls data-autoplay preload>\n",
    " <source src=\"https://github.com/damontallen/Construction-Lectures-Fall-2014/raw/master/Lecture%20Audio/Week%207/Wall%20Form%20Design%20Using%20Tables/Determine%20the%20Following.mp3\"\n",
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   "source": [
    "1. Concrete Pressure\n",
    "2. Stud spacing\n",
    "3. Wale spacing\n",
    "4. Tie spacing\n",
    "5. Required tie strength\n"
   ]
  },
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   "source": [
    "### Given:"
   ]
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    "* Height of wall = 15 ft\n",
    "* Rate of filling = 10 ft/hr\n",
    "* Temperature = 80$^o$ F\n",
    "* Concrete unit weight = 150 lb/ft$^3$\n",
    "* Wet conditions prevail\n",
    "* Limit deflection to L/360 but not greater than 1/16\"\n",
    "* All lumber will be 2x4 S4S lumber, No.2 Douglas Fir-Larch with no splits\n",
    "* Sheathing will be 3/4\" Class I Plyform\n",
    "* Use double 2x4 wales"
   ]
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   "source": [
    "## Pressure"
   ]
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   },
   "source": [
    "<audio controls data-autoplay preload>\n",
    " <source src=\"https://github.com/damontallen/Construction-Lectures-Fall-2014/raw/master/Lecture%20Audio/Week%207/Wall%20Form%20Design%20Using%20Tables/Pressure.mp3\"\n",
    "         type='audio/mp3'>\n",
    " <p>Your user agent does not support the HTML5 Audio element or the files are missing.</p>\n",
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     "text": [
      "P = 1042.5 psf\n"
     ]
    },
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       "      <th></th>\n",
       "      <th>1/2_in_strong</th>\n",
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       "      <th>3/4_in_strong</th>\n",
       "      <th>1_in_strong</th>\n",
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       "      <th>1_in_weak</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>P</th>\n",
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       "      <td>22</td>\n",
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       "     1/2_in_strong  5/8_in_strong  3/4_in_strong  1_in_strong  1/2_in_weak  \\\n",
       "P                                                                            \n",
       "75              20             23             26           31           15   \n",
       "100             19             21             24           29           14   \n",
       "125             18             20             23           27           13   \n",
       "150             17             19             22           26           12   \n",
       "175             16             19             21           25           11   \n",
       "\n",
       "     5/8_in_weak  3/4_in_weak  1_in_weak  \n",
       "P                                         \n",
       "75            17           21         28  \n",
       "100           16           20         26  \n",
       "125           15           19         24  \n",
       "150           14           18         23  \n",
       "175           13           17         22  "
      ]
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   "source": [
    "%run Older_Classes/Temp_struc_v_3_beta.py\n",
    "import pandas as pd\n",
    "R = 10\n",
    "T = 80\n",
    "h = 15\n",
    "P = Pressure(R,T,h)\n",
    "print(\"P = {} psf\".format(P.value))\n",
    "plyform = pd.read_csv(\"./Wood/Plyform_1.25_strong_spans.csv\",index_col=0)\n",
    "plyform.head()"
   ]
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     "data": {
      "text/latex": [
       "$$\\text{Since R = 10}\\frac{ft}{hr}  \\text{ then } P =  150 + \\frac{43,400}{T} + \\frac{2800 \\times R}{T}$$ \n",
       "${}$\n",
       " $$P = 150 + \\frac{43,400}{ 80 }+\\frac{2800 \\times 10 }{ 80 } =  1042 psf $$ \n",
       "${}$\n",
       " $$P_{max} = 150 pcf \\times h= 150 pcf \\times 15 ft$$ \n",
       "${}$\n",
       " $$P_{max} = 2250 psf$$ \n",
       "${}$\n",
       " $$\\text{Therefore }P =  1042 psf $$"
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   "source": [
    "P.work"
   ]
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  {
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   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Plywood Analysis (Stud Spacing)"
   ]
  },
  {
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    }
   },
   "source": [
    "<audio controls data-autoplay preload>\n",
    " <source src=\"https://github.com/damontallen/Construction-Lectures-Fall-2014/raw/master/Lecture%20Audio/Week%207/Wall%20Form%20Design%20Using%20Tables/Plywood%20Analysis%20(Stud%20Spacing).mp3\"\n",
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    " <p>Your user agent does not support the HTML5 Audio element or the files are missing.</p>\n",
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   "metadata": {
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    "slideshow": {
     "slide_type": "skip"
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   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Read down to 1100 psf and over to the 3/4 in column and find s = 10\n"
     ]
    }
   ],
   "source": [
    "table_P = min(plyform['3/4_in_strong'][plyform.index>=P.value].index)\n",
    "stud_spacing = int(plyform['3/4_in_strong'][plyform.index==table_P ])\n",
    "print(\"Read down to {} psf and over to the 3/4 in column and find s = {}\".format(table_P,stud_spacing))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
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   },
   "source": [
    "<a href=\"http://i.imgur.com/3wlGQhb.jpg\">\n",
    "<img src=\"http://i.imgur.com/3wlGQhb.jpg\" alt=\"Formwork for Concrete Table 9.3\" title=\"Formwork for Concrete Table 9.3\" style=\"max-width:200px; max-height:200px; border:1px solid blue; float:right; margin-left:10px;\"/>\n",
    "</a>\n",
    "\n",
    "For $3/4\"$ Class I Plyform, subjected to a $1,000 psf$ pressure load, using a 7 day load duration factor, orientating the Plyform in the strong direction (grain perpendicular to the supports), and supported over three or more spans, the maximum support spacing is $10\"$.  Or in other words read down to $1,000 psf$ in the first column and then read over to the first $3/4\"$ column, to find the allowable spacing of $10\"$.  Officially, for all tests and real projects you should read down to $1,100 psf$ and find the allowable spacing of $10\"$, which is the same in this case.\n",
    "\n",
    "For the purposes of preparing you for the [AIC exam](http://www.professionalconstructor.org/?page=AC_Certification), I am telling you to not determine the constructible spacings for any problem in this course that is solved using these tables.  This means that our stud spacing *will be* $10\"$ on center.\n",
    "\n",
    "During the AIC exam this will be the correct answer even though, in practice, this is going to be incorrect."
   ]
  },
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   },
   "source": [
    "## Wale Spacing (Stud Support)"
   ]
  },
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    }
   },
   "source": [
    "<audio controls data-autoplay preload>\n",
    " <source src=\"https://github.com/damontallen/Construction-Lectures-Fall-2014/raw/master/Lecture%20Audio/Week%207/Wall%20Form%20Design%20Using%20Tables/Wale%20Spacing%20(Stud%20Support).mp3\"\n",
    "         type='audio/mp3'>\n",
    " <p>Your user agent does not support the HTML5 Audio element or the files are missing.</p>\n",
    "</audio>"
   ]
  },
  {
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    }
   },
   "source": [
    "We need to determine the new line load to calculate the spacing of the stud supports."
   ]
  },
  {
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   "execution_count": 4,
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   "outputs": [
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "w = 868.75 plf\n"
     ]
    }
   ],
   "source": [
    "stud=two_by_four() \n",
    "stud.F_b = 900 #psi\n",
    "stud.F_v = 180 #psi\n",
    "stud.F_c_p = 625 #psi\n",
    "stud.E = 1600000 #psi\n",
    "stud.C_D = 1.25\n",
    "stud.C_F = 1.5\n",
    "stud.C_M.wet=True\n",
    "stud.spacing = stud_spacing #for C_r\n",
    "stud.connected = True #for C_r\n",
    "w = line_load(P.value,stud_spacing/12)\n",
    "print(\"w = {} plf\".format(w.value))\n",
    "stud_df = pd.read_csv(\"./Wood/Table_9.6.2.csv\", index_col = 0)\n",
    "# stud_df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
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    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Read down to 900 plf and over to the 2x4 in column and find s = 23 in.\n"
     ]
    }
   ],
   "source": [
    "table_w = min(stud_df[r'$\\text{2x4 DFL}$'][stud_df.index>=w.value].index)\n",
    "wale_spacing = int(stud_df[r'$\\text{2x4 DFL}$'][stud_df.index==table_w ])\n",
    "print(\"Read down to {} plf and over to the 2x4 in column and find s = {} in.\".format(table_w,wale_spacing))"
   ]
  },
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   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$\\text{Line load} = w = \\text{pressure}\\times\\text{tributary width}$$ $$w = P \\times s = 1042.5 psf \\times 10\" \\times \\frac{1 ft}{12 in}$$$$w = 868.8 plf$$"
      ],
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   "source": [
    "w.work"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
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     "slide_type": "-"
    }
   },
   "source": [
    "<a href=\"http://i.imgur.com/kS0E7bJ.jpg\">\n",
    "<img src=\"http://i.imgur.com/kS0E7bJ.jpg\" alt=\"Formwork for Concrete Table 9.6.2.*\" title=\"Formwork for Concrete Table 9.6.2.*\" style=\"max-width:200px; max-height:200px; border:1px solid blue; float:right; margin-left:10px;\"/>\n",
    "</a>\n",
    "\n",
    "Now we look up the allowable support spacings for the studs in Table 9.6, again because the studs are being supported over three or more spans.  Since, we are using Douglass Fir-Larch and $C_D=1.25$ we will specifically use Table 9.6.2, (if we are reusing the studs again in another form, then we would look in Table 9.6.1).\n",
    "\n",
    "Reading down to $900 plf$ in the pressure column and over to the 2x4 column under Douglas Fir-Larch, (not the 4x2 column since that is for a 2x4 on the flat) we find that the maximum support spacings for the studs is $23\"$."
   ]
  },
  {
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   "metadata": {
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     "slide_type": "slide"
    }
   },
   "source": [
    "### Wale Bearing Stress Check"
   ]
  },
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   },
   "source": [
    "<audio controls data-autoplay preload>\n",
    " <source src=\"https://github.com/damontallen/Construction-Lectures-Fall-2014/raw/master/Lecture%20Audio/Week%207/Wall%20Form%20Design%20Using%20Tables/Wale%20Bearing%20Stress%20Check.mp3\"\n",
    "         type='audio/mp3'>\n",
    " <p>Your user agent does not support the HTML5 Audio element or the files are missing.</p>\n",
    "</audio>"
   ]
  },
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     "slide_type": "skip"
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   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "P = 1042.5 psf\n",
      "stud_spacing = 10 in\n",
      "wale_spacing = 23 in\n"
     ]
    }
   ],
   "source": [
    "print(\"P = {} psf\".format(P.value))\n",
    "print(\"stud_spacing = {} in\".format(stud_spacing))\n",
    "print(\"wale_spacing = {} in\".format(wale_spacing))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "\n",
    "<a href=\"http://i.imgur.com/z279ije.png\">\n",
    "<img src=\"http://i.imgur.com/z279ije.png\" alt=\"Bearing Area\" title=\"Bearing Area\"style=\"max-width:300px; max-height:300px; border:1px solid blue; float:right; margin-left:10px;\"/>\n",
    "</a>\n",
    "\n",
    "We still would have to check the bearing stress the same way as before.\n",
    "\n",
    "$A_{bearing} = (1.5\" \\times 1.5\") \\times 2 = 4.5 in^2$\n",
    "\n",
    "The load that is on that area is the pressure times the tributary area, or,\n",
    "\n",
    "$\\text{Bearing Load } = P_{bearing} = P \\times A_{trib}$\n",
    "\n",
    "$P_{bearing} = P \\times s_{stud} \\times s_{wale}$\n",
    "\n",
    "$P_{bearing} = 1042.5 psf \\times 10 in \\times 23 in \\times \\left(\\frac{1 ft}{12 in}\\right)^2= 1665 lbs$\n",
    "\n",
    "Before we can finish, we will need to find the allowable values in the Timber NDS and Supplement."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "P_bearing = 1665 lbs\n"
     ]
    }
   ],
   "source": [
    "load = P.value * wale_spacing * stud_spacing / 144\n",
    "print(\"P_bearing = {:.0f} lbs\".format(load))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$f_{c,\\perp} = \\frac{P_{bearing}}{A_{bearing}} = \\frac{ 1665 lb }{ 4.50 in^2 }= 370.02 psi $$ \n",
       "${}$\n",
       " $$F_{c,\\perp}' = F_{c,\\perp} \\times C_M =  625.00 psi \\times 0.67 = 418.75 psi $$ \n",
       "${}$\n",
       " $$P_{bearing,allowed} = F_{c,\\perp}' \\times A_{bearing} =419 psi \\times  4.50 in^2 = 1884 lb $$ \n",
       "${}$\n",
       " $$\\text{Since the allowable load due to bearing is } 1884 lb \\text{ the  and the actual load is } 1665 lb \\text{,}$$ $$\\text{the wales are good in bearing.}$$"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bearing_check(stud,load).work"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Tie Spacing (Wale Analysis)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "<audio controls data-autoplay preload>\n",
    " <source src=\"https://github.com/damontallen/Construction-Lectures-Fall-2014/raw/master/Lecture%20Audio/Week%207/Wall%20Form%20Design%20Using%20Tables/Tie%20Spacing%20(Wale%20Analysis).mp3\"\n",
    "         type='audio/mp3'>\n",
    " <p>Your user agent does not support the HTML5 Audio element or the files are missing.</p>\n",
    "</audio>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "w = 1998.125 plf\n"
     ]
    }
   ],
   "source": [
    "w = line_load(P.value,wale_spacing/12)\n",
    "print(\"w = {} plf\".format(w.value))\n",
    "wale_df = pd.read_csv(\"./Wood/Table_9.9.2.csv\", index_col = 0)\n",
    "# wale_df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Read down to 2000 plf and over to the 2x4 in column and find s = 22 in for ties.\n"
     ]
    }
   ],
   "source": [
    "table_w = min(wale_df[r'$\\text{2x4 DFL}$'][wale_df.index>=w.value].index)\n",
    "snaptie_spacing = int(wale_df[r'$\\text{2x4 DFL}$'][wale_df.index==table_w ])\n",
    "txt = \"Read down to {} plf and over to the 2x4 in column and find s = {} in for ties.\"\n",
    "print(txt.format(table_w,snaptie_spacing))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "We need to determine the new line load to calculate the spacing of the wale supports."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$\\text{Line load} = w = \\text{pressure}\\times\\text{tributary width}$$ $$w = P \\times s = 1042.5 psf \\times 23\" \\times \\frac{1 ft}{12 in}$$$$w = 1,998 plf$$"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "w.work"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "<a href=\"http://i.imgur.com/5KUPu0T.jpg\">\n",
    "<img src=\"http://i.imgur.com/5KUPu0T.jpg\" alt=\"Formwork for Concrete Table 7-8.*\" title=\"Formwork for Concrete Table 7-8.*\" style=\"max-width:200px; max-height:200px; border:1px solid blue; float:right; margin-left:10px;\"/>\n",
    "</a>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Tie Strength"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "<audio controls data-autoplay preload>\n",
    " <source src=\"https://github.com/damontallen/Construction-Lectures-Fall-2014/raw/master/Lecture%20Audio/Week%207/Wall%20Form%20Design%20Using%20Tables/Tie%20Strength.mp3\"\n",
    "         type='audio/mp3'>\n",
    " <p>Your user agent does not support the HTML5 Audio element or the files are missing.</p>\n",
    "</audio>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "from collections import namedtuple\n",
    "holder = namedtuple('holder','value')\n",
    "units = namedtuple(\"units\",'inches feet')\n",
    "convert = lambda inches:holder(units(inches,inches/12))\n",
    "_tie_spacing = convert(snaptie_spacing)\n",
    "_wale_spacing = convert(wale_spacing)\n",
    "tie_strength = tie_check(P.value, _tie_spacing, _wale_spacing)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "To determine the required tie strength we need to find the load that each tie must carry.  That load is equal to the pressure times the tributary area of a tie.  This tributary area is the found by multiplying the tie spacing by the wale spacing."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$\\text{The load on the ties is,}$$ \n",
       "${}$\n",
       " $$P_{ties} = P \\times s_{ties} \\times s_{wales} =  1042 psf \\times  1.833 ft \\times  1.917 ft  =  3663 lb$$ \n",
       "${}$\n",
       " $$\\text{Use 4000 lb ties.}$$"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tie_strength.work"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Summary"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "<audio controls data-autoplay preload>\n",
    " <source src=\"https://github.com/damontallen/Construction-Lectures-Fall-2014/raw/master/Lecture%20Audio/Week%207/Wall%20Form%20Design%20Using%20Tables/Summary.mp3\"\n",
    "         type='audio/mp3'>\n",
    " <p>Your user agent does not support the HTML5 Audio element or the files are missing.</p>\n",
    "</audio>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "$\\text{With }3/4\"\\text{ Class I Plyform space the 2x4 studs every }10\"\\text{.}$\n",
      "\n",
      "$\\text{The double 2x4 wales need to be spaced }23\"\\text{ on center.}$\n",
      "\n",
      "$\\text{The }4000 lb\\text{ ties need to be spaced at }22\"\\text{ on center.}$\n"
     ]
    }
   ],
   "source": [
    "temp = r\"\"\"$\\text{With }3/4\"\\text{ Class I Plyform space the 2x4 studs every }%d\"\\text{.}$\n",
    "\n",
    "$\\text{The double 2x4 wales need to be spaced }%d\"\\text{ on center.}$\n",
    "\n",
    "$\\text{The }%d lb\\text{ ties need to be spaced at }%d\"\\text{ on center.}$\"\"\"%(stud_spacing,\n",
    "                                                                             wale_spacing,\n",
    "                                                                              tie_strength.value,\n",
    "                                                                             snaptie_spacing)\n",
    "print(temp)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "$\\text{With }3/4\"\\text{ Class I Plyform space the 2x4 studs every }10\"\\text{.}$\n",
    "\n",
    "$\\text{The double 2x4 wales need to be spaced }23\"\\text{ on center.}$\n",
    "\n",
    "$\\text{The }4000 lb\\text{ ties need to be spaced at }22\"\\text{ on center.}$\n",
    "\n",
    "You'll notice that the spacings are very different than what we found with the analytical approach.  This is mainly due to the fact that we sprung for the more expensive Plyform rather than just use $3/4\"$ plywood.  There are fewer calculations, but we are locked into using more expensive material.  Additionally, if we use a spreadsheet solution, we would be able to use the material we wanted, and have an exact solution.  Once the spreadsheet is set up correctly the first time, it will be easier to use than these tables.\n",
    "\n",
    "That being said, you might ask why are we bothering to learn about this?  The reason is that this material will show up on the [AIC exam](http://www.professionalconstructor.org/?page=AC_Certification), and you might end up going to work for someone that believes this is the fastest way to work.  Either way, you need to be able to use these tables."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## References:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "[Class website](https://ufl.instructure.com/courses/) *(Use this link to if you are taking the course on e-learning.)*\n",
    "\n",
    "[Github.io version of course website](http://damontallen.github.io/Construction-Lectures-Fall-2014/) *(Do not use this link if you are taking this course in Summer A or B.)*\n",
    "\n",
    "[IPython.org](http://ipython.org/) *(IPython is the opensource software used in the development of much of this course.)*\n",
    "\n",
    "[Complete Software List](http:\nbviewer.ipython.org/github/damontallen/Construction-Lectures-Fall-2014/blob/master/Resources.ipynb)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": []
  }
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