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16 Spline

April 6th, 2010

16 Spline
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Bosch 1 9 16 Spline Combination Hammer 11247 RT
Bosch 1 9 16 Spline Combination Hammer 11247 RT
$289.99
Time Remaining: 29d 10h 3m
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Metabo KHE 54 1 9 16 Spline Drive Rotary Hammer
Metabo KHE 54 1 9 16 Spline Drive Rotary Hammer
$50.00 (2 Bids)
Time Remaining: 5h 28m

Irwin 324012 5 8x11x16 Spline Shank 2 Cutter Bit
Irwin 324012 5 8x11x16 Spline Shank 2 Cutter Bit
$19.75
Time Remaining: 27d 1h 55m
Buy It Now for only: $19.75

DeWalt DW5715 Rotary Hammer Drill Bit 3 4 x 11 x 16 Spline Shank New
DeWalt DW5715 Rotary Hammer Drill Bit 3 4 x 11 x 16 Spline Shank New
$11.00
Time Remaining: 27d 4h 57m
Buy It Now for only: $11.00

Irwin 324066 3 4x11x16 Spline Shank 4 Cutter Bit
Irwin 324066 3 4x11x16 Spline Shank 4 Cutter Bit
$25.95
Time Remaining: 3d 5h 59m
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Bosch 11247 1 9 16 Spline Combination Hammer
Bosch 11247 1 9 16 Spline Combination Hammer
$406.79
Time Remaining: 12d 23h 20m
Buy It Now for only: $406.79

Dewalt D25550 Rotary Hammer Drill++1 9 16 Spline++With Case++With Bits++LK++
Dewalt D25550 Rotary Hammer Drill++1 9 16 Spline++With Case++With Bits++LK++
$199.95
Time Remaining: 2d 1h 14m

Makita HR4041C 1 9 16 Rotary Hammer Accepts Spline Bits
Makita HR4041C 1 9 16 Rotary Hammer Accepts Spline Bits
$349.00
Time Remaining: 8d 4h 39m
Buy It Now for only: $349.00

BOSCH 11247 1 9 16 in Spline Combination Rotary Hammer with 2 Bits
BOSCH 11247 1 9 16 in Spline Combination Rotary Hammer with 2 Bits
$179.96
Time Remaining: 23d 1h 50m
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DeWalt DW5708 9 16 2 Cutter Spline Shank Rotary Hammer Drill Bit New
DeWalt DW5708 9 16 2 Cutter Spline Shank Rotary Hammer Drill Bit New
$9.00
Time Remaining: 19d 20h 15m
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DeWalt DW5741 Rotary Hammer Drill Bit 5 8 x 11 x 16 Spline Shank New
DeWalt DW5741 Rotary Hammer Drill Bit 5 8 x 11 x 16 Spline Shank New
$12.00
Time Remaining: 21d 23h 22m
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Bosch 1 9 16 Spline Combination Hammer 11247 NEW
Bosch 1 9 16 Spline Combination Hammer 11247 NEW
$379.99
Time Remaining: 26d 14h 1m
Buy It Now for only: $379.99

DEWALT DW5721 SPLINE SHANK DRILL BIT 1x11x16
DEWALT DW5721 SPLINE SHANK DRILL BIT 1x11x16
$25.00
Time Remaining: 2d 5h 44m
Buy It Now for only: $35.00

DeWalt DW5721 1X11X16 Spline Rotary Hammer Bit
DeWalt DW5721 1X11X16 Spline Rotary Hammer Bit
$22.95
Time Remaining: 18d 1h 46m
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DeWalt DW5702 7 16 2 Cutter Spline Shank Rotary Hammer Drill Bit NIP
DeWalt DW5702 7 16 2 Cutter Spline Shank Rotary Hammer Drill Bit NIP
$8.00
Time Remaining: 22d 5h 56m
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Makita HR4041C 1 9 16 Spline Rotary SDS Hammer Electric
Makita HR4041C 1 9 16 Spline Rotary SDS Hammer Electric
$449.99
Time Remaining: 2d 2h 25m
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Bosch HC4050 1 x 11 x 16 Wild Bore Spline Rotary Hammer Bit
Bosch HC4050 1 x 11 x 16 Wild Bore Spline Rotary Hammer Bit
$29.99
Time Remaining: 6d 6h 38m
Buy It Now for only: $29.99

Bosch 11247 1 9 16 SPLINE Hammer Drill
Bosch 11247 1 9 16 SPLINE Hammer Drill
$12.50 (2 Bids)
Time Remaining: 3d 22h 35m

DeWalt DW5741 5 8 x 11 x 16 4 Cutter Spline Shank Rotary Hammer Bit
DeWalt DW5741 5 8 x 11 x 16 4 Cutter Spline Shank Rotary Hammer Bit
$23.95
Time Remaining: 24d 3h 6m
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Irwin 324002 3 8x11x16 Spline Shank 2 Cutter Hammer Bit
Irwin 324002 3 8x11x16 Spline Shank 2 Cutter Hammer Bit
$20.90
Time Remaining: 25d 3h 59m
Buy It Now for only: $20.90

Milwaukee 48 20 4076 3 4 in x 16 in 2 Cutter Spline Shank Hammer Bit
Milwaukee 48 20 4076 3 4 in x 16 in 2 Cutter Spline Shank Hammer Bit
$25.75
Time Remaining: 17d 7h
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Irwin 324040 1 1 2x11x16 Spline Shank 2 Cutter Hammer Bit
Irwin 324040 1 1 2x11x16 Spline Shank 2 Cutter Hammer Bit
$59.75
Time Remaining: 24d 5h 55m
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Irwin 324035 1 1 4x11x16 Spline Shank 2 Cutter Bit
Irwin 324035 1 1 4x11x16 Spline Shank 2 Cutter Bit
$45.95
Time Remaining: 10d 7h 49m
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Bosch 11247 Rotary Hammer 1 9 16 Spline Combination with two bits
Bosch 11247 Rotary Hammer 1 9 16 Spline Combination with two bits
$149.00
Time Remaining: 3d 23h 47m

DEWALT DW5715 3 4 Inch by 11 Inch by 16 Inch 2 Cutter Spline Shank Rotary
DEWALT DW5715 3 4 Inch by 11 Inch by 16 Inch 2 Cutter Spline Shank Rotary
$30.00
Time Remaining: 21d 1h 2m
Buy It Now for only: $30.00

DeWalt DW5710 5 8X11X16 Spline Shank 2 Cutter Rotary Hammer Bit
DeWalt DW5710 5 8X11X16 Spline Shank 2 Cutter Rotary Hammer Bit
$20.95
Time Remaining: 25d 4h 3m
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DeWalt DW5708 9 16x5x10 Spline Rotary Hammer Bit
DeWalt DW5708 9 16x5x10 Spline Rotary Hammer Bit
$19.45
Time Remaining: 26d 4h 32m
Buy It Now for only: $19.45

Irwin 324025 7 8x11x16 Spline Shank 2 Cutter Bit
Irwin 324025 7 8x11x16 Spline Shank 2 Cutter Bit
$19.95
Time Remaining: 3d 6h 5m
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Bosch 11248EVS 1 9 16 Inch 11 Amp Spline Combination Hammer
Bosch 11248EVS 1 9 16 Inch 11 Amp Spline Combination Hammer
$300.00
Time Remaining: 4d 23h 30m

Irwin 324005 1 2x11x16 Spline Shank 2 Cutter Bit
Irwin 324005 1 2x11x16 Spline Shank 2 Cutter Bit
$26.95
Time Remaining: 17d 7h 25m
Buy It Now for only: $26.95

Irwin 324019 3 4x11x16 Spline Shank 2 Cutter Bit
Irwin 324019 3 4x11x16 Spline Shank 2 Cutter Bit
$23.95
Time Remaining: 13d 5h 32m
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MILWAUKEE 48 20 4063 SPLINE BIT 5 8 X 16 NEW
MILWAUKEE 48 20 4063 SPLINE BIT 5 8 X 16 NEW
$30.00
Time Remaining: 9d 7h 38m
Buy It Now for only: $30.00

Irwin 324065 1x11x16 Spline Shank 4 Cutter Bit
Irwin 324065 1x11x16 Spline Shank 4 Cutter Bit
$30.90
Time Remaining: 3d 5h 50m
Buy It Now for only: $30.90

Milwaukee 48 20 4100 1 in x 16 in 2 Cutter Spline Shank Hammer Bit
Milwaukee 48 20 4100 1 in x 16 in 2 Cutter Spline Shank Hammer Bit
$31.59
Time Remaining: 17d 7h 14m
Buy It Now for only: $31.59

DEWALT 1 9 16 Spline Rotary Hammer Drill D25553 In Case
DEWALT 1 9 16 Spline Rotary Hammer Drill D25553 In Case
$21.87 (3 Bids)
Time Remaining: 6d 4m

Irwin 324009 9 16x8x13 Spline Shank 2 Cutter Hammer Bit
Irwin 324009 9 16x8x13 Spline Shank 2 Cutter Hammer Bit
$18.90
Time Remaining: 25d 23h 14m
Buy It Now for only: $18.90

Irwin 324029 1x11x16 Spline Shank 2 Cutter Bit
Irwin 324029 1x11x16 Spline Shank 2 Cutter Bit
$29.75
Time Remaining: 27d 1h 49m
Buy It Now for only: $29.75

Milwaukee 48 20 4087 7 8 in x 16 in 2 Cutter Spline Shank Hammer Bit
Milwaukee 48 20 4087 7 8 in x 16 in 2 Cutter Spline Shank Hammer Bit
$29.79
Time Remaining: 17d 7h 22m
Buy It Now for only: $29.79

DEWALT 1 9 16 in Spline Combination Rotary Hammer Kit D25553K NEW
DEWALT 1 9 16 in Spline Combination Rotary Hammer Kit D25553K NEW
$449.99
Time Remaining: 10d 4h 12m
Buy It Now for only: $449.99

16 Spline
Would some like to explain cubic and quadratic splines?

You must forgive me for being a bit thick but the standard
a cubed ... answer goes right over my head. I'm not sure what 'a' is and how did we get a d. What i'd like is answer that relates coefficients with 3 points on a graph, lets call em: Fud(2, 2), Bill(8,16) and Gates(12,4) or F, B & G for short.

The idea of splines is to patch together a series of polynomials that go through your points. For a cubic spline, you determine a cubic equation for each interval between two adjacent points. A cubic equation has the form:

y = a*x^3 + b*x^2 + c*x + d

The procedure of doing the spline involves determining the values for a, b, c, and d for each interval that gives a smooth curve. There will be a different set of constants for each interval between each pair of adjacent points.

For each interval, you solve equations so the curve goes through the two point and the slope of one section matches the slope of the next section.

Take your points F, B, and G. There will be 2 sets of constants a1, b1, c1, and d1 for the curve between F and B; a2, b2, c2, and d2 for the curve between B and G. Use the notation:

y2(x) = a2*x^3 + b2*x^2 + c2*x + d2
dy2/dx = y2' (x) = 3*a2*x^2 + 2*b2*x + c2

The equations to be solved are:

y1(2) = 2
y1(8) = 16
y2(8) = 16
y2(12) = 4
y1' (8) = y2'(8)
y1''(8) = y2''(8)

You'll notice that there are 6 equations but 8 unknowns. There are always two less equations than unknowns. These two are determined by the end conditions. Typically, some slope condition is applied to each end to give the final two equations. The set of equations is coupled and linear so it may be solved via matrix inversion.

Thanks for looking at our 16 Spline information.


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