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@damontallen
Last active December 18, 2015 07:08
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This IPython notebook can be used to calculate the saw angle settings to cut hip and jack rafters.
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{
"metadata": {
"name": "Hip and Jack rafter cuts"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Hip and Jack Rafter Cut Information"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This IPython Notebook contains calculations on what angle and bevel to set a compound miter saw make a cheek cut where\n",
"a hip rafter connects to a ridge board and jack rafters connects to a hip rafter. These calculatins do NOT assume that\n",
"both the front roof and side roof are at the same pitch.\n",
"\n",
"The final output contains the saw angles and bevels needed to cut following results:\n",
"\n",
"* Hip rafter angle\n",
"* Hip rafter cheek cut bevel angle\n",
"* Front roof cheek cut bevel angle\n",
"* Side roof cheek cut bevel angle\n",
"\n",
"As a check the pitch of the hip rafter is also calculated.\n",
"\n",
"*Images are for name clarification*\n",
"\n",
"###(Summary is at the bottom.)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from IPython.display import Image\n",
"Image(url='http://i.imgur.com/sTI9YHq.png')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<img src=\"http://i.imgur.com/sTI9YHq.png\" />"
],
"output_type": "pyout",
"prompt_number": 1,
"text": [
"<IPython.core.display.Image at 0x3fc77d0>"
]
}
],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"####This notebook uses the py2tex extension to display all the calculations with the %%tex magic.\n",
"####Using %%tex is not necessary for the operation of the notebook, it is just for equation verification and claity.\n",
"* py2tex can be downloaded from the [Extensions-Index](https://github.com/ipython/ipython/wiki/Extensions-Index)\n",
"* The necessity of py2tex can be removed by deleting all instances of %%tex and %load py2tex."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%load_ext py2tex\n",
"\n",
"rad = radians\n",
"deg = degrees\n",
"\n",
"%%tex front_pitch = 4 # inches per foot of run of the front roof\n",
"%%tex side_pitch = 6 # inches per foot of run of the side roof\n",
"%%tex front_angle = deg(arctan(front_pitch/12))\n",
"%%tex side_angle = deg(arctan(side_pitch/12))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"latex": [
"$$\\mbox{front}_{pitch} = 4 = 4.000$$"
],
"output_type": "display_data",
"text": [
"front_pitch = 4 # inches per foot of run of the front roof = 4.000"
]
},
{
"latex": [
"$$\\mbox{side}_{pitch} = 6 = 6.000$$"
],
"output_type": "display_data",
"text": [
"side_pitch = 6 # inches per foot of run of the side roof = 6.000"
]
},
{
"latex": [
"$$\\mbox{front}_{angle} = \\mbox{deg}\\left(\\arctan\\left(\\frac{front_{pitch}}{12}\\right)\\right) = 18.435$$"
],
"output_type": "display_data",
"text": [
"front_angle = deg(arctan(front_pitch/12)) = 18.435"
]
},
{
"latex": [
"$$\\mbox{side}_{angle} = \\mbox{deg}\\left(\\arctan\\left(\\frac{side_{pitch}}{12}\\right)\\right) = 26.565$$"
],
"output_type": "display_data",
"text": [
"side_angle = deg(arctan(side_pitch/12)) = 26.565"
]
}
],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Image(url='http://i.imgur.com/XFrCxIV.png')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<img src=\"http://i.imgur.com/XFrCxIV.png\" />"
],
"output_type": "pyout",
"prompt_number": 3,
"text": [
"<IPython.core.display.Image at 0x3fc7150>"
]
}
],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%%tex side_run = front_pitch * (12 / side_pitch) #this is the run the side roof jack rafter must have to match 12\" of run of the front roof\n",
"hip_run = sqrt(side_run**2 + 12**2) #this is the run the hip rafter mut have for every 12\" of run of the fron roof\n",
"hipUnit_length = sqrt(front_pitch**2 + hip_run**2) #unit length of a hip rafter per 1 ft of run of the front roof \n",
"hip_angle = deg(arcsin(front_pitch/hipUnit_length)) #this is angle of the hip rafter\n",
"hip_pitch = front_pitch * (12 / hip_run) #this is the rise of the hip rafter for every 12\" of hip run"
],
"language": "python",
"metadata": {},
"outputs": [
{
"latex": [
"$$\\mbox{side}_{run} = front_{pitch} \\cdot \\frac{12}{side_{pitch}} = 8.000$$"
],
"output_type": "display_data",
"text": [
"side_run = front_pitch * (12 / side_pitch) #this is the run the side roof jack rafter must have to match 12\" of run of the front roof = 8.000"
]
},
{
"latex": [
"$$\\mbox{hip}_{run} = \\sqrt{side_{run}^{2} + 12^{2}} = 14.422$$"
],
"output_type": "display_data",
"text": [
"hip_run = sqrt(side_run**2 + 12**2) #this is the run the hip rafter mut have for every 12\" of run of the fron roof = 14.422"
]
},
{
"latex": [
"$$\\mbox{hipUnit}_{length} = \\sqrt{front_{pitch}^{2} + hip_{run}^{2}} = 14.967$$"
],
"output_type": "display_data",
"text": [
"hipUnit_length = sqrt(front_pitch**2 + hip_run**2) #unit length of a hip rafter per 1 ft of run of the front roof = 14.967"
]
},
{
"latex": [
"$$\\mbox{hip}_{angle} = \\mbox{deg}\\left(\\arcsin\\left(\\frac{front_{pitch}}{hipUnit_{length}}\\right)\\right) = 15.501$$"
],
"output_type": "display_data",
"text": [
"hip_angle = deg(arcsin(front_pitch/hipUnit_length)) #this is angle of the hip rafter = 15.501"
]
},
{
"latex": [
"$$\\mbox{hip}_{pitch} = front_{pitch} \\cdot \\frac{12}{hip_{run}} = 3.328$$"
],
"output_type": "display_data",
"text": [
"hip_pitch = front_pitch * (12 / hip_run) #this is the rise of the hip rafter for every 12\" of hip run = 3.328"
]
}
],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Image(\"http://i.imgur.com/GAyZbJj.png\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"png": 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AyD/M/u0/cPV1H9D4wecZdl0qaye8x0xbK54e2pgXrh5IXlpP7r6+EzmpEhNeeZP9sVfT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\n+2lpaaGzsxOv10tjYyN79+6lt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y9mbEoKekUhGg4TC4dRIhFikQhNq1fz5k03EYtEsGVk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\nsIFIJMLGjRvZtm0bIz+nQ8ne3r3836L/4/kNzxNRIpQkl1DiKmFq9lS+M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p6ew/p8u3fu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\nMDQ6MDDxoxICAAAAAElFTkSuQmCC\n",
"prompt_number": 5,
"text": [
"<IPython.core.display.Image at 0x3fc7790>"
]
}
],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print(\"The angle the hip rafter makes with the house projected into the horizontal plane is:\")\n",
"%%tex HipCheekProj_angle = deg(arccos(side_run/hip_run)) #this is the angle the hip rafter makes with the house projected into the horizontal plane\n",
"print(\"\\nlength_projection is the projection of this length_actual into the horizontal plane. The 1.5 is based on 2x material being used for the rafter.\")\n",
"%%tex length_projection = 1.5 / tan(rad(HipCheekProj_angle)) # length_projection is the projection of this l_act into the horizontal plane. The 1.5 is based on 2x material being used the rafter\n",
"print(\"\\nHip_rise is the rise of the hip rafter up the rake for the distance length_actual\")\n",
"%%tex Hip_rise = hip_pitch /12 *length_projection # Hip_rise is the rise of the hip rafter up the rake for the distance l_act\n",
"print(\"\\nlength_actual is the length down the rake of the hip rafter from the tip to the end of the cheek cut on the starting edge\")\n",
"%%tex length_actual = sqrt(length_projection**2 + Hip_rise**2) # length_actual is the length down the rake of the hip rafter from the tip to the end of the cheek cut on the starting edge\n",
"%%tex hipCheekCut_angle = deg(arctan(length_actual/1.5)) #this is the angle of the saw\n",
"print(\"\\nNote that this is angle that the miter must be set at, not the angle the Length_actual makes with the rake of the jack rafter.\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The angle the hip rafter makes with the house projected into the horizontal plane is:\n"
]
},
{
"latex": [
"$$\\mbox{HipCheekProj}_{angle} = \\mbox{deg}\\left(\\arccos\\left(\\frac{side_{run}}{hip_{run}}\\right)\\right) = 56.310$$"
],
"output_type": "display_data",
"text": [
"HipCheekProj_angle = deg(arccos(side_run/hip_run)) #this is the angle the hip rafter makes with the house projected into the horizontal plane = 56.310"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"length_projection is the projection of this length_actual into the horizontal plane. The 1.5 is based on 2x material being used for the rafter.\n"
]
},
{
"latex": [
"$$\\mbox{length}_{projection} = \\frac{1.5}{\\tan\\left(\\mbox{rad}\\left(HipCheekProj_{angle}\\right)\\right)} = 1.000$$"
],
"output_type": "display_data",
"text": [
"length_projection = 1.5 / tan(rad(HipCheekProj_angle)) # length_projection is the projection of this l_act into the horizontal plane. The 1.5 is based on 2x material being used the rafter = 1.000"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Hip_rise is the rise of the hip rafter up the rake for the distance length_actual\n"
]
},
{
"latex": [
"$$\\mbox{Hip}_{rise} = \\frac{hip_{pitch}}{12} \\cdot length_{projection} = 0.277$$"
],
"output_type": "display_data",
"text": [
"Hip_rise = hip_pitch /12 *length_projection # Hip_rise is the rise of the hip rafter up the rake for the distance l_act = 0.277"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"length_actual is the length down the rake of the hip rafter from the tip to the end of the cheek cut on the starting edge\n"
]
},
{
"latex": [
"$$\\mbox{length}_{actual} = \\sqrt{length_{projection}^{2} + Hip_{rise}^{2}} = 1.038$$"
],
"output_type": "display_data",
"text": [
"length_actual = sqrt(length_projection**2 + Hip_rise**2) # length_actual is the length down the rake of the hip rafter from the tip to the end of the cheek cut on the starting edge = 1.038"
]
},
{
"latex": [
"$$\\mbox{hipCheekCut}_{angle} = \\mbox{deg}\\left(\\arctan\\left(\\frac{length_{actual}}{1.5}\\right)\\right) = 34.677$$"
],
"output_type": "display_data",
"text": [
"hipCheekCut_angle = deg(arctan(length_actual/1.5)) #this is the angle of the saw = 34.677"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Note that this is angle that the miter must be set at, not the angle the Length_actual makes with the rake of the jack rafter.\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def saw_cheek_cut(projected_angle, rafter_pitch):\n",
" \"\"\"This function allows me to calculate multiple jack rafter miter angles.\"\"\"\n",
" lR_pro = 1.5 / tan(rad(projected_angle)) # lR_pro is the projection of this lR_act into the horizontal plane\n",
" lR_ri = rafter_pitch /12 *lR_pro # lR_ri is the rise of the rafter up the rake for the distance lR_act\n",
" lR_act = sqrt(lR_pro**2 + lR_ri**2) # lR_act is the length down the rake of the rafter from the tip to the end of the cheek cut on the starting edge\n",
" CheekCut_angle = deg(arctan(lR_act/1.5))\n",
" return CheekCut_angle"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"In summary:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from fractions import Fraction as frac\n",
"inch_part = floor(hip_pitch)\n",
"frac_part = round((hip_pitch - inch_part)*16)/16\n",
"hip_pitch_sum = ('The pitch of the hip rafter (rise over 12 inches) is: {:.0f}-{}\"'.format(inch_part, frac.from_float(frac_part)))\n",
"hip_angle_sum = (\"The angle equivalent of the hip rafter's pitch is {:.1f} degrees\".format(hip_angle))\n",
"hip_cheek_sum=('The bevel of the saw for the cheek cut of the hip rafter is {0:.1f} degrees'.format(hipCheekCut_angle))\n",
"\n",
"inch_part = floor(front_pitch)\n",
"frac_part = round((front_pitch - inch_part)*16)/16\n",
"FrontjackRafter_sum = ('The pitch of the front jack rafter (rise over 12 inches) is: {:.0f}-{}\"'.format(inch_part, frac.from_float(frac_part)))\n",
"Front_angle_sum = (\"The angle equivalent of the front jack rafter's pitch is {:.1f} degrees\".format(front_angle))\n",
"FrontjackCheekCut_angle = saw_cheek_cut(deg(arccos(12/hip_run)), front_pitch)\n",
"front_jack_sum = ('The bevel of the saw for the cheek cut of a front roof jack rafter is {0:.1f} degrees'.format(FrontjackCheekCut_angle))\n",
"\n",
"inch_part = floor(side_pitch)\n",
"frac_part = round((side_pitch - inch_part)*16)/16\n",
"SidejackRafter_sum = ('The pitch of the side jack rafter (rise over 12 inches) is: {:.0f}-{}\"'.format(inch_part, frac.from_float(frac_part)))\n",
"Side_angle_sum = (\"The angle equivalent of the side jack rafter's pitch is {:.1f} degrees\".format(side_angle))\n",
"SidejackCheekCut_angle = saw_cheek_cut(deg(arccos(side_run/hip_run)), side_pitch)\n",
"side_jack_sum = ('The bevel of the saw for the cheek cut of a side roof jack rafter is {0:.1f} degrees'.format(SidejackCheekCut_angle))\n",
"\n",
"summary_list = [hip_pitch_sum, hip_angle_sum, hip_cheek_sum, '\\n',\n",
" FrontjackRafter_sum, Front_angle_sum, front_jack_sum, '\\n',\n",
" SidejackRafter_sum, Side_angle_sum, side_jack_sum]\n",
"Summary = '\\n'.join(summary_list)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print(Summary)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The pitch of the hip rafter (rise over 12 inches) is: 3-5/16\"\n",
"The angle equivalent of the hip rafter's pitch is 15.5 degrees\n",
"The bevel of the saw for the cheek cut of the hip rafter is 34.7 degrees\n",
"\n",
"\n",
"The pitch of the front jack rafter (rise over 12 inches) is: 4-0\"\n",
"The angle equivalent of the front jack rafter's pitch is 18.4 degrees\n",
"The bevel of the saw for the cheek cut of a front roof jack rafter is 57.7 degrees\n",
"\n",
"\n",
"The pitch of the side jack rafter (rise over 12 inches) is: 6-0\"\n",
"The angle equivalent of the side jack rafter's pitch is 26.6 degrees\n",
"The bevel of the saw for the cheek cut of a side roof jack rafter is 36.7 degrees\n"
]
}
],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"###The cheek cuts of a rafter may not be able to be cut on a compound miter saw if the roof pitch is too steep.\n",
"\n",
"It may be necessary to use a handsaw to cut some of these angles perfectly. This is partly the reason that the [LSSU Simpson Strong-Tie connectors](http://www.strongtie.com/products/connectors/LSU-LSSU.asp?source=sslumbcat#) were developed."
]
}
],
"metadata": {}
}
]
}
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