formulas spreadsheet
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Numbers in Red are varibles
height arc
Answers in BluechordArc length formularadius 131.8000 height 9.0500 2303.6775 Angle rads 0.74547 Angle degrees 42.7121 half chord 47.9966 Chord 95.9933 Arc length 98.2526 most accurate formula
Arc Length formulachord96.0000
height9.0500 0.372708098 122.7691474
Radius131.8191
Arc length 98.2601 least accurate formula
Arc length formulaChord 36.0000 Radius 26.0000 Angle rads 1.52936 angle degrees 87.6261
Half chord 18.0000
Right angle leg 18.76166 Arc length 39.7635
Height7.2383
Number of segments per ring 16.00 Diameter of ring 12.00 horizontal angle on jig 11.25
angle of cuts on segments 22.50 ring circumference 37.70 vertical angle on jig 22.50
16 segment ring sam11.25
22.50
sawblade 11.25
Tablesaw jig
8 segment ring sample
22.50 45.00
flip for e
45.0 sawblade
22.50
Tablesaw jig
22.50
Tablesaw jig
16 segment ring sample
flip for each cut
sawblade 22.50
Tablesaw jig
8 segment ring sample
flip for each cut
45.00 sawblade
blesaw jig
blesaw jig
Stair calculatorStair height 102.90 Tread run 11.00 small angle in rads 0.59 Total stair run 154.00 Number of treads 14.00 Step rise 7.35 small angle in degrees 33.75 hypotenuse 185.21
Stair example calculation 11" tread
185.21"
10 11.00" 7.35" 33.75
154.00"
Stair example calculation 10" tread
173.75"
7.35"
10
10.00"
36.32
140.00"
102.90"
102.90"
36.32
Helical handrail calculator
Stair rise 7.250 cylinder radius (planview of helix handrail radius) 36.000 helix height 149.083 number of helix revolutions 0.50
Stair run 11.000 cylinder circumference 226.195 hypotenuse 270.905 radius of flattened helix (torus) 43.116
small angle in rads 0.583 small angle in degrees 33.389 handrail length per helix 270.905 total length of handrail 135.453156.08"
Typical diameter of helical staircase
Helix
# of bd. feet used per foot of handrail 2.00
Cost per bd. ft. of lumber used $2.30
total cost $4.60
270
36.00"
Floor handrail begins 3' above floor72.00"
Circum
A simple helix is the hypotenuse of a right triangle wrapped around a cylinder, where the base of the triangle is equal to the circumference of the cylinder.7.25" 33.39
Typical diameter of helical staircase
Typical rise and run of a stair.11.00"
Helix handrail
156.08"
149.09" 270.91" 33.39
36.00"
226.19"
Floor handrail begins 3' above floor Circumference of 72" diameter column is 226.19"72.00"
Arc length formularadius 28.8434 height 2.8493 156.2484888 Angle rads 0.89646 Angle degrees 51.3636
Arc Length formula0.78817577 25.11030352
chord50.5000
height10.5000
Arc length formulaChord 50.5000 Radius 30.0000 Angle rads 2.00072 angle degrees 114.6331
Rise12
# of Plys4
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Springback0.750
Elastic factor 0.00
Correction percentage (decimal) 0.00
Tree typeAlder, red Ash white Aspen, quaking Basswood Beech Birch, yellow Butternut Cherry, black Cottonwood Hickory, pecan Hickory, shagbark locust, black Maple, silver Maple, sugar Oak, northern red Oak, souther red Oak, white
Elastic factor-0.07 0.13 0.11 0 0.1 0.25 -0.19 0 -0.09 0.12 0.33 0.25 -0.28 0.17 0.17 0 0.15
Tested correction factor (decimal)
-0.36
Sassafras Sycamore Walnut, black Poplar, yellow cedar, incense cedar, western Douglas fir Fir, white Fir, mountain Pine, white Pine, lodgepole Pine, ponderosa Pine, sugar Redwood, young Spruce, white Purpleheart Rosewood Mahogany, african Mahogany, true Balsa Bubinga Teak
-0.24 -0.05 0.09 0.04 -0.3 -0.25 0.23 0 0.1 -0.16 -0.1 -0.14 -0.21 -0.26 -0.03 0.4 0.19 -0.07 0 -0.6 0.5 0.03
half chord 12.4999 Chord 24.9999 Arc length 25.8571
height arc
Radius35.6102 Half chord 25.2500
Arc length 56.1343 Right angle leg 16.19992 Arc length 60.0217
chord
Height13.8001
Desired arc Radius 45.0000 Desired chord 61.1882 Arc rise 12
Make Jig Radius 43.0810
1.49517 half chord 30.5941
Make Jig Arc rise 12.75000.789718772
PREDICTING WOOD SPRINGBACK
5.26"
X
Y
CLAMP FORM
Y = springback X = rise N = number of plys
Y = X 2 N
85.6669 936
61.1882
30.33110519
43.0810
Dual Slope Compound Hold cursor over this cell for n Miter formulaside slope degrees 20 end slope degrees 0.34906585 30 0.5236 Wall angle degrees 90 1.5708
30.00Side miter degrees 17.495 Bevel 39.856 End miter degrees 28.481
Right triangle - angle findershort leg lengthlong leg length 2.45 3.76 small angle degrees 0.5774962 33.088
en
14.04
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0.30535
30.00
side slope miter cut degrees 17.4952 side slope 20
0.49709
end slope miter cut degrees 28.4812 end slope 30 1.0472
4.39 Bevel0.69561 39.8557
1.22173
lines of vertical
wall angle
side end
slope degrees (smaller angle of right triangle) 37.629 0.914046383
wall angle degrees (from 180 degrees, example-enter 45 for 135 degree wall 90
crown molding compound miter formula5 .63 1
1.570796327
miter degrees 31.406
bevel degrees 34.057
Right triangle - angle findershort leg length 1.06 long leg length 1.375 0.656749182 small angle degrees 37.629
14.04
Regular polygon angle findernumber of sides 8 rads 2.356 degree of angle 135.000
Wall angle to enter into cell c345.000
108.00
lines of verticalP a u l Hu n i g t n t n o
5 .63 1
miter cut 1 22 .22 0 degrees 31.4059894
0.54813792
wall angle
bevel cut degrees 0.59440383 34.05683077
side
side
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Varibles in Red Chord102.129
Answers in Blue Radius327.948 0.156345356
Rise4.000
Arc length102.546 323.9556316
hold cursor over this10430.33264
Chord102.129
Rise 4.000
Radius 327.9480.156345331
Arc length102.546
2607.584
Alternate method of routing large arcs
4" rise
R 327.95"
4.48
Cut router base angle to match arc rise
4.48
Beam
Pins
Slide router, attached to base, against 2 pins to cut 1/2 of arc
sor over this10494.33264138.13"
P
8.00"
18.00"
R 327.
R 6.50"
8.00"
10.50"
11.31 102.13"
4.48
10.50"
2.50"
6.50"
1" = 17.7 Draftsman - Paul Drawing #Remodel Kitchen Beam
Paul H unting ton
R 327.95"
6.72"
12.00"
11.31"
84.00"
1" = 17.777304682838"Kitchen Beam
1/16/2003
Varibles in redsemi-major axis 14 Semi-minor axis 5
ELLIPSE PROPERTIESPerimeter 63.088 Area 219.911 ratio 2.8 to 1 Distance between Foci 26.153 Hypotenuse length 14.866 string length 54.153 1/2 string length 27.077 1/4 ellipse arc 15.772 1/4 ellipse area 54.978
Answers in Blue
Two nails,pencil and string method
String
Foci
Two axis, router and extended base method
0.50"
= Semi-major axis (hole center to inside of router bit)
RouterSemi-minor axis
Router base extension
Router base extension
ellipse table template
3/8" dowel screwed to block
Answers in BlueSemi-minor axis0.224376731
Semi-major axis40.00"
20.00"
hypotenuse 20.00"
40.00"
e method
hold cursor over this cell for notes
inside of router bit)
tension
Table edge template, make 4" oversize. And wood edge, about 1 1/2" oversize.
tension
Table edge template, make 4" oversize. And wood edge, about 1 1/2" oversize.
ellipse table template
wel screwed to block
make od edge, e.
make od edge, e.
1.618 ratioheight 11 width 17.798 height 5.253399 width 8.5
Architectural proportion10.500"
2.63"
6.489"
Golden Mean Rectangle
4.25"
2.63"