single angle design manual spreadsheets

Geo. Axis Eq leg, vert leg up

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Flexural Design of Single Anglesper AISC Specification 13th Edition

Shape L3X3X1/4 Geometric Axis Bendingb 3 inch Equal Leg Angles Only

t 0.25 inchSx 0.569 inch^3 No Lateral-Torsional RestraintIx 1.23 inch^4

Fy 36 ksiSpan length, L 2 feetCb 1 per Table 3-1, AISC Manual, 1.5 max

F10.2 Lateral Torsional Buckling Assume no lateral torsional restraint

F10.2(i)(a) Me 107.97 inch. kips Eqn (F10-4a)

0.8My 16.39 inch. kips

Mn 24.0 inch. kips

F10.3 Leg Local Buckling, Tip in Compressionb/t 12.0

.54 limit, Compact 15.3 Compact, Leg Local Buckling does not apply.

.91 limit, Non-Compact 25.8Mn ------ inch. kips

> .91 limit, SlenderMn ------ inch. kips

Mn ------ in. kips

Flexural Capacity

Mn 24.021.6 inch. kips14.4 inch. Kips

Maximum Uniformly Distributed Vertical LoadAssume a simply supported beam. The moment above would be producedby a uniformly distibuted vertical load of:

LRFD 3.60 kips/foot. factoredASD 2.39 kips/foot. service

ASD LRFDVertical 0.04 inches 0.04 inchesHorizontal 0.02 inches 0.02 inches

Enter a uniform load, kips/foot0.55

Total Length, feet4

Vertical Deflection 0.14 inchesLateral Deflection 0.08 inches

1. Assume simply supported, uniformly distributed vertical load acting down. Vertical leg in bending compression.2. For LRFD, assume that factored load is all dead load. Factored load divided by 1.4.3. Note that deflection using geometric axis moment of inertia has been multiplied by 1.56 for vertical deflectionand the lateral deflection is .94 x the vertical deflection (using the geometric axis moment of inertia).

Vertical Leg Up1

LRFD, ΦMnASD, Mn/Ω

Deflection based on Maximum Uniformly Distributed Vertical Load2

Deflection Calculator3

Geo. Axis Eq leg, vert leg down


Shape L4X4X3/8 Geometric Axis Bendingb 4 inch Equal Leg Angles Only

t 0.375 inchSx 1.5 inch^3 No Lateral-Torsional RestraintIx 4.32 inch^4

Fy 36 ksiSpan length, L 2 feetCb 1 per Table 3-1, AISC Manual, 1.5 max

F10.2 Lateral Torsional Buckling Assume no lateral torsional restraint

F10.2(i)(b) Me 6751.96 inch. kips Eqn (F10-4b)

0.8My 43.20 inch. kips

Mn 64.80 inch. kips

F10.3 Leg Local Buckling, Tip in Compressionb/t 10.7

.54 limit, Compact 15.3 Compact, Leg Local Buckling does not apply.

.91 limit, Non-Compact 25.8Mn ------ inch. kips

> .91 limit, SlenderMn ------ inch. kips

Mn ------ in. kips

Flexural Capacity

Mn 64.858.3 inch. kips38.8 inch. Kips

Maximum Uniformly Distributed Vertical LoadAssume a simply supported beam. The moment above would be producedby a uniformly distibuted vertical load of:

LRFD 9.72 kips/foot. factoredASD 6.47 kips/foot. service

ASD LRFDVertical 0.03 inches 0.03 inchesHorizontal 0.02 inches 0.02 inches

Enter a uniform load, kips/foot0.40

Total Length, feet6

Vertical Deflection 0.15 inchesLateral Deflection 0.09 inches

1. Assume simply supported, uniformly distributed vertical load acting down. Vertical leg in bending compression.

Vertical Leg Down1


Deflection based on Maximum Uniformly Distributed Vertical Load2

Deflection Calculator3

Geo. Axis Eq leg, vert leg down

2. For LRFD, assume that factored load is all dead load. Factored load divided by 1.4.3. Note that deflection using geometric axis moment of inertia has been multiplied by 1.56 for vertical deflectionand the lateral deflection is .94 x the vertical deflection (using the geometric axis moment of inertia).

Prin. Axis Eq. leg, vert leg up

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Principal Axis BendingShape L4X4X1/4 Equal Leg Angles Onlyb 4 inch Vertical Leg Up, No Lateral-Torsional Restraintt 0.25 inchSw, major axis 1.70 inch^3 Section modulus to tip in compression for major axis bending

Sz tip, minor axis 0.80 inch^3 Section modulus to leg tips in compression for minor axis bending

Sz heel, minor axis 0.77 inch^3 Section modulus to heel for minor axis bending

Iw, major axis 4.82 inch^4Iz, minor axis 1.18 inch^4

Fy 36 ksiSpan length, L 16 feetCb 1

Major Axis BendingF10.2(iii) Lateral Torsional Buckling Assume no lateral torsional restraint

Me 69.5 inch. kips Eqn (F10-5)

My 61.307069 inch kips

Mn 50.3 inch kips

F10.3 Leg Local Buckling Tip in Compressionb/t 16

b/t Limits:Compact 15.33

------Noncompact 25.83

Mn 89.5 inch kipsSlender

Mn ------ inch kipsMn 89.5 inch kips

Major Axis Flexural CapacityMnw 50.3 inch kips

45.3 inch kips30.1 inch kips

≤ 1.5, per Table 3-1, 13th Ed. AISC Manual

LRFD, ΦMnwASD, Mnw/Ω

Prin. Axis Eq. leg, vert leg up

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Minor Axis BendingF10.1 Yielding

My 27.9 inch. kipsMn 41.8 inch. kips



Mn ------ inch kipsNoncompact 25.83



MInor Axis Flexural CapacityMnz 41.8 in. kips


Maximum Factored Uniformly Distributed Vertical Load

Use interaction equation (H1-1b) to determine the maximum uniformly distributed vertical loadthat can be resisted by this section for the span length shown.

Maximum Uniformly Distributed Vertical LoadLRFD 0.08 kips/foot Factored Load

ASD 0.05 kips/foot Service Load

Major Axis Bending ASD LRFDVertical 0.266 inches 0.285 inchesHorizontal 0.266 inches 0.285 inches

Minor Axis BendingVertical 1.082 inches 1.162 inchesHorizontal 1.082 inches 1.162 inches

Combined DeflectionVertical 1.348 inches 1.448 inchesHorizontal 0.817 inches 0.877 inches

1. For LRFD, assume that factored load is all dead load. Factored load divided by 1.4.2. LRFD deflection differs from ASD due to factors 0.9/1.4=0.643 for LRFD, 1/1.67=0.599 for ASD.

LRFD, ΦMnzASD, Mnz/Ω

Deflection Based on Maximum Uniformly Distributed Vertical Load1,2

Prin. Axis Eq leg vert leg down

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Principal Axis BendingShape L4X4X1/4 Equal Leg Angles Onlyb 4 inch Vertical Leg Down, No Lateral-Torsional Restraintt 0.25 inchSw, major axis 1.70 inch^3 Section modulus to tip in compression for major axis bending

Sz tip, minor axis 0.80 inch^3 Section modulus to leg tips in compression for minor axis bending

Sz heel, minor axis 0.77 inch^3 Section modulus to heel in compression for minor axis bending

Iw, major axis 4.82 inch^4Iz, minor axis 1.18 inch^4

Fy 36 ksiSpan length, L 16 feetCb 1

Major Axis BendingF10.2(iii) Lateral Torsional Buckling Assume no lateral torsional restraint

Me 69.5 inch. kips Eqn (F10-5)

My 61.307069 inch kips

Mn 50.3 inch kips



------Noncompact 25.83







Prin. Axis Eq leg vert leg down

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My 27.9 inch. kipsMn 41.8 inch. kips



Maximum Factored Uniformly Distributed Vertical Load

Use interaction equation (H1-1b) to determine the maximum uniformly distributed vertical loadthat can be resisted by this section for the span length shown.

Maximum Uniformly Distributed Vertical LoadLRFD 0.08 kips/foot Factored Load

ASD 0.05 kips/foot Service Load

Major Axis Bending ASD LRFDVertical 0.266 inches 0.285 inchesHorizontal 0.266 inches 0.285 inches

Minor Axis BendingVertical 1.082 inches 1.162 inchesHorizontal 1.082 inches 1.162 inches

Combined DeflectionVertical 1.348 inches 1.448 inchesHorizontal 0.817 inches 0.877 inches



Deflection Based on Maximum Uniformly Distributed Vertical Load1,2

Prin. Axis UnEq Leg Long Leg Up

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Principal Axis BendingShape L6X4X1/2 UnEqual Leg Angles OnlyLong Leg 6 inch Long Leg UpShort Leg 4 incht 0.5 inchSw long tip, major axis 4.90 inch^3 Section modulus to long leg tip for bending about major axis

Sz long leg tip, minor axis 3.00 inch^3 Section modulus to long leg tip for bending about minor axis

Sz short leg tip, minor axis 1.64 inch^3 Section modulus to short leg tip for bending about minor axis

Iw, major axis 19.97 inch^4Iz, minor axis 3.55 inch^4rz, minor axis 0.86 inch

0.44 Angle between vertical and minor axis.

3.14 inch Positive value from Table C-F10.1in AISC Specification Commentary.

Fy 36 ksiSpan length 11.8 feetCb 1

Major Axis Bending

F10.2 Lateral Torsional Buckling Assume no lateral torsional restraintMe 397.3 inch. kips Eqn (F10-6)

My 176.5 inch. kips

Mn 201.2 inch. kips

F10.3 Leg Local Buckling Long Legb/t 12.0


Mn Compact, Leg Local Buckling does not applyNoncompact 25.83

Mn ------- inch. kipsSlender

Mn ------ inch. kipsMn N/A inch. kips



tan aβw



B15

Always enter this as a POSITIVE value. The spreadsheet will take care of the sign.


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My 58.95759 inch. kips

Mn 88.43639 inch. kips

Minor Axis BendingF10.3 Leg Local Buckling Tips in Compression

Long Legb/t 12


Mn Compact, Leg Linch. kips Long Leg Flexural CapacityNoncompact 25.83 Mn N/A inch. kips


Mn ------ inch. kips

Minor Axis Bending, continuedF10.3 Leg Local Buckling Tips in Compression

Short Legb/t 8.00


Mn Compact, Leg Local Buckling does not applyNoncompact 25.83 Short Leg Flexural Capacity

Mn ------- inch. kips Mn Compact inch. kipsSlender






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Maximum Equivalent Moment About the Horizontal Axis

Use interaction equation (H1-1b) to determine the maximum moment about the horizontal axisthat can be resisted by this section for the span length shown.

Maximum Equivalent Moment About the Horizontal AxisMn 109.8 inch kips


Maximum Uniformly Distributed Vertical Load

Convert the Maxiumum Equivalent Moment above to the maximum uniformly distributed vertical loadthat can be resisted by this section for the span length shown.

Maximum Uniformly Distributed Vertical Load0.526 kips/foot0.47 kips/foot

ASD 0.31 kips/foot

ASD LRFDMajor Axis Bending 0.217 inches 0.233 inches

Vertical 0.198 inches down 0.213 inches downHorizontal 0.088 inches right 0.094 inches right

Minor Axis Bending 0.539 inches 0.578 inchesVertical 0.217 inches down 0.233 inches downHorizontal 0.493 inches left 0.529 inches left

Combined Deflection ASD LRFDVertical 0.416 inches down 0.446 inches downHorizontal 0.405 inches left 0.435 inches left

1. For LRFD, assume that factored load is all dead load. Factored load divided by 1.4.2. LRFD deflection differs from ASD due to factors 0.9/1.4=0.643 for LRFD, 1/1.67=0.599 for ASD.3. Deflection left or right is based on the vertical leg on the left with the horizontal leg pointing to the right.


LRFD

Deflection Based on Maximum Uniformly Distributed Vertical Load1, 2, 3

Prin Axis UnEq Leg Long Leg Dwn

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Principal Axis BendingShape L6X4X5/16 UnEqual Leg Angles OnlyLong Leg 6 inch Long Leg DownShort Leg 4 incht 0.3125 inchSw long tip, major axis 3.21 inch^3 Section modulus to long leg tip for bending about major axis

Sw short tip, major axis 4.41 inch^3 Section modulus to short leg tip about major axis






Fy 36 ksiSpan length 10 feetCb 1

Major Axis Bending


My 115.7 inch. kips

Mn 24.3 inch. kips

F10.3 Leg Local Buckling Short Leg b/t 12.80




Mn ------ inch. kipsMn N/A inch. kips



tan a

βw



B15


Prin Axis UnEq Leg Long Leg Dwn

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Minor Axis BendingF10.1 Yielding Tips in Tension


Mn 713.6346 inch. kipsMInor Axis Flexural Capacity

Mnz 713.6 in. kips642.3 inch kips427.3 inch kips


Use interaction equation (H1-1b) to determine the maximum moment about the horizontal axis that can be resisted by this section for the span length shown.





Maximum Uniformly Distributed Vertical Load0.175 kips/foot

0.16 kips/footASD 0.10 kips/foot


Vertical 0.293 inches down 0.314 inches downHorizontal 0.131 inches left 0.141 inches left

Minor Axis Bending 0.381 inches 0.409 inchesVertical 0.156 inches down 0.168 inches downHorizontal 0.348 inches right 0.374 inches right

Combined Deflection ASD LRFDVertical 0.449 inches down 0.482 inches downHorizontal 0.217 inches right 0.232 inches right

1. For LRFD, assume that factored load is all dead load. Factored load divided by 1.4.2. LRFD deflection differs from ASD due to factors 0.9/1.4=0.643 for LRFD, 1/1.67=0.599 for ASD.3. Deflection left or right is based on the vertical leg on the left with the horizontal leg pointing to the right.



LRFD


Prin Axis UnEq Leg Short Leg Up

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Principal Axis BendingShape L5X3-1/2X1/2 UnEqual Leg Angles OnlyLong Leg 5 inch Short Leg UpShort Leg 3.5 incht 0.5 inchSw long tip, major axis 3.44 inch^3 Section modulus to long leg tip for bending about major axis







Fy 36 ksiSpan length 4 feetCb 1.14

Major Axis Bending




F10.3 Leg Local Buckling Short Legb/t 7.00




Mn ------ inch. kipsMn N/A in. kips






Minor Axis BendingF10.3 Local Buckling Tips in Compression

Long Legb/t 10


Mn Compact, Leg Local BucklingLong Leg Flexural CapacityNoncompact 25.83 Mn N/A inch. kips

tan a

βw



B15



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Minor Axis Bending, continuedF10.3 Short Leg

b/t 7.00


Mn Compact, Leg Local Buckling does not applyNoncompact 25.83 Short Leg Flexural Capacity

Mn ------- inch. kips Mn Compact inch. kipsSlender










Maximum Uniformly Distributed Vertical Load2.598 kips/foot

2.34 kips/footASD 1.56 kips/foot








LRFD


Prin Axis UnEq L Short Leg Down

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Principal Axis BendingShape L5X3-1/2X1/2 UnEqual Leg Angles OnlyLong Leg 5 inch Short Leg DownShort Leg 3.5 incht 0.5 inchSw long tip, major axis 3.44 inch^3 Section modulus to long leg tip for bending about major axis







Fy 36 ksiSpan length 8 feetCb 1.14

Major Axis Bending




F10.3 Leg Local Buckling Long Legb/t 10.0




Mn ------ inch. kipsMn N/A in. kips








tan a

βw




B15


Prin Axis UnEq L Short Leg Down

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Maximum Uniformly Distributed Vertical Load0.638 kips/foot0.57 kips/foot

ASD 0.38 kips/foot







LRFD


Shape Weight Area depth b t kdes1 2 3 4 5 6 7

L8X8X1-1/8 57.2 16.8 8 8 1.125 1.75L8X8X1 51.3 15.1 8 8 1 1.625

L8X8X7/8 45.3 13.3 8 8 0.875 1.5L8X8X3/4 39.2 11.5 8 8 0.75 1.375L8X8X5/8 33 9.69 8 8 0.625 1.25

L8X8X9/16 29.8 8.77 8 8 0.5625 1.1875L8X8X1/2 26.7 7.84 8 8 0.5 1.125L6X6X1 37.5 11 6 6 1 1.5

L6X6X7/8 33.2 9.75 6 6 0.875 1.375L6X6X3/4 28.8 8.46 6 6 0.75 1.25L6X6X5/8 24.3 7.13 6 6 0.625 1.125

L6X6X9/16 22 6.45 6 6 0.5625 1.0625L6X6X1/2 19.6 5.77 6 6 0.5 1

L6X6X7/16 17.3 5.08 6 6 0.4375 0.9375L6X6X3/8 14.9 4.38 6 6 0.375 0.875

L6X6X5/16 12.5 3.67 6 6 0.3125 0.8125L5X5X7/8 27.3 8.02 5 5 0.875 1.375L5X5X3/4 23.7 6.98 5 5 0.75 1.25L5X5X5/8 20.1 5.9 5 5 0.625 1.125L5X5X1/2 16.3 4.79 5 5 0.5 1

L5X5X7/16 14.4 4.22 5 5 0.4375 0.9375L5X5X3/8 12.4 3.65 5 5 0.375 0.875

L5X5X5/16 10.4 3.07 5 5 0.3125 0.8125L4X4X3/4 18.5 5.43 4 4 0.75 1.125L4X4X5/8 15.7 4.61 4 4 0.625 1L4X4X1/2 12.7 3.75 4 4 0.5 0.875

L4X4X7/16 11.2 3.3 4 4 0.4375 0.8125L4X4X3/8 9.72 2.86 4 4 0.375 0.75

L4X4X5/16 8.16 2.4 4 4 0.3125 0.6875L4X4X1/4 6.58 1.93 4 4 0.25 0.625

L3-1/2X3-1/2X1/2 11.1 3.27 3.5 3.5 0.5 0.875L3-1/2X3-1/2X7/16 9.82 2.89 3.5 3.5 0.4375 0.8125L3-1/2X3-1/2X3/8 8.51 2.5 3.5 3.5 0.375 0.75

L3-1/2X3-1/2X5/16 7.16 2.1 3.5 3.5 0.3125 0.6875L3-1/2X3-1/2X1/4 5.79 1.7 3.5 3.5 0.25 0.625

L3X3X1/2 9.35 2.75 3 3 0.5 0.875L3X3X7/16 8.28 2.43 3 3 0.4375 0.8125L3X3X3/8 7.17 2.11 3 3 0.375 0.75

L3X3X5/16 6.04 1.78 3 3 0.3125 0.6875L3X3X1/4 4.89 1.44 3 3 0.25 0.625

L3X3X3/16 3.7 1.09 3 3 0.1875 0.5625L2-1/2X2-1/2X1/2 7.65 2.25 2.5 2.5 0.5 0.75L2-1/2X2-1/2X3/8 5.9 1.73 2.5 2.5 0.375 0.625

L2-1/2X2-1/2X5/16 4.98 1.46 2.5 2.5 0.3125 0.5625L2-1/2X2-1/2X1/4 4.04 1.19 2.5 2.5 0.25 0.5

L2-1/2X2-1/2X3/16 3.06 0.901 2.5 2.5 0.1875 0.4375L2X2X3/8 4.65 1.37 2 2 0.375 0.625

L2X2X5/16 3.94 1.16 2 2 0.3125 0.5625L2X2X1/4 3.21 0.944 2 2 0.25 0.5

L2X2X3/16 2.46 0.722 2 2 0.1875 0.4375

L2X2X1/8 1.67 0.491 2 2 0.125 0.375

x y xp yp Ix Zx Sx rx Iy8 9 10 11 12 13 14 15 16

2.4 2.4 1.05 1.05 98.1 31.6 17.5 2.41 98.12.36 2.36 0.943 0.943 89.1 28.5 15.8 2.43 89.12.31 2.31 0.832 0.832 79.7 25.3 14 2.45 79.72.26 2.26 0.72 0.72 69.9 22 12.2 2.46 69.92.21 2.21 0.606 0.606 59.6 18.6 10.3 2.48 59.62.19 2.19 0.548 0.548 54.2 16.8 9.33 2.49 54.22.17 2.17 0.49 0.49 48.8 15.1 8.36 2.49 48.81.86 1.86 0.918 0.918 35.4 15.4 8.55 1.79 35.41.81 1.81 0.813 0.813 31.9 13.7 7.61 1.81 31.91.77 1.77 0.705 0.705 28.1 11.9 6.64 1.82 28.11.72 1.72 0.594 0.594 24.1 10.1 5.64 1.84 24.11.7 1.7 0.538 0.538 22 9.18 5.12 1.85 22

1.67 1.67 0.481 0.481 19.9 8.22 4.59 1.86 19.91.65 1.65 0.423 0.423 17.6 7.25 4.06 1.86 17.61.62 1.62 0.365 0.365 15.4 6.27 3.51 1.87 15.41.6 1.6 0.306 0.306 13 5.26 2.95 1.88 13

1.56 1.56 0.802 0.802 17.8 9.31 5.16 1.49 17.81.52 1.52 0.698 0.698 15.7 8.14 4.52 1.5 15.71.47 1.47 0.59 0.59 13.6 6.93 3.85 1.52 13.61.42 1.42 0.479 0.479 11.3 5.66 3.15 1.53 11.31.4 1.4 0.422 0.422 10 5 2.78 1.54 10

1.37 1.37 0.365 0.365 8.76 4.33 2.41 1.55 8.761.35 1.35 0.307 0.307 7.44 3.65 2.04 1.56 7.441.27 1.27 0.679 0.679 7.62 5.02 2.79 1.18 7.621.22 1.22 0.576 0.576 6.62 4.28 2.38 1.2 6.621.18 1.18 0.468 0.468 5.52 3.5 1.96 1.21 5.521.15 1.15 0.413 0.413 4.93 3.1 1.73 1.22 4.931.13 1.13 0.357 0.357 4.32 2.69 1.5 1.23 4.321.11 1.11 0.3 0.3 3.67 2.26 1.27 1.24 3.671.08 1.08 0.242 0.242 3 1.82 1.03 1.25 31.05 1.05 0.466 0.466 3.63 2.66 1.48 1.05 3.631.03 1.03 0.412 0.412 3.25 2.36 1.32 1.06 3.25

1 1 0.357 0.357 2.86 2.06 1.15 1.07 2.860.979 0.979 0.301 0.301 2.44 1.74 0.969 1.08 2.440.954 0.954 0.243 0.243 2 1.41 0.787 1.09 20.929 0.929 0.458 0.458 2.2 1.91 1.06 0.895 2.20.907 0.907 0.405 0.405 1.98 1.7 0.946 0.903 1.980.884 0.884 0.351 0.351 1.75 1.48 0.825 0.91 1.750.86 0.86 0.296 0.296 1.5 1.26 0.699 0.918 1.5

0.836 0.836 0.239 0.239 1.23 1.02 0.569 0.926 1.230.812 0.812 0.181 0.181 0.948 0.774 0.433 0.933 0.9480.803 0.803 0.45 0.45 1.22 1.29 0.716 0.735 1.220.758 0.758 0.347 0.347 0.972 1.01 0.558 0.749 0.9720.735 0.735 0.293 0.293 0.837 0.853 0.474 0.756 0.8370.711 0.711 0.237 0.237 0.692 0.695 0.387 0.764 0.6920.687 0.687 0.18 0.18 0.535 0.529 0.295 0.771 0.5350.632 0.632 0.342 0.342 0.476 0.629 0.348 0.591 0.4760.609 0.609 0.29 0.29 0.414 0.537 0.298 0.598 0.4140.586 0.586 0.236 0.236 0.346 0.44 0.244 0.605 0.3460.561 0.561 0.18 0.18 0.271 0.338 0.188 0.612 0.271

0.534 0.534 0.123 0.123 0.189 0.23 0.129 0.62 0.189

Zy Sy ry rz J Cw ro tan alpha Qs17 18 19 20 21 22 23 24 25

31.6 17.5 2.41 1.56 7.13 32.5 4.29 1 128.5 15.8 2.43 1.56 5.08 23.4 4.32 1 125.3 14 2.45 1.57 3.46 16.1 4.36 1 122 12.2 2.46 1.57 2.21 10.4 4.39 1 1

18.6 10.3 2.48 1.58 1.3 6.16 4.41 1 0.99725116.8 9.33 2.49 1.58 0.961 4.55 4.43 1 0.95916815.1 8.36 2.49 1.59 0.683 3.23 4.45 1 0.91156415.4 8.55 1.79 1.17 3.68 9.24 3.19 1 113.7 7.61 1.81 1.17 2.51 6.41 3.21 1 111.9 6.64 1.82 1.17 1.61 4.17 3.25 1 110.1 5.64 1.84 1.17 0.955 2.5 3.28 1 19.17 5.12 1.85 1.18 0.704 1.85 3.29 1 18.22 4.59 1.86 1.18 0.501 1.32 3.3 1 17.25 4.06 1.86 1.18 0.34 0.899 3.32 1 0.9727696.26 3.51 1.87 1.19 0.218 0.575 3.33 1 0.9115645.26 2.95 1.88 1.19 0.129 0.338 3.35 1 0.8258779.3 5.16 1.49 0.971 2.07 3.53 2.64 1 1

8.14 4.52 1.5 0.972 1.33 2.32 2.67 1 16.92 3.85 1.52 0.975 0.792 1.4 2.7 1 15.66 3.15 1.53 0.98 0.417 0.744 2.73 1 1

5 2.78 1.54 0.983 0.284 0.508 2.75 1 14.33 2.41 1.55 0.986 0.183 0.327 2.76 1 0.982973.65 2.04 1.56 0.99 0.108 0.193 2.78 1 0.9115645.01 2.79 1.18 0.774 1.02 1.12 2.1 1 14.28 2.38 1.2 0.774 0.61 0.68 2.13 1 13.5 1.96 1.21 0.776 0.322 0.366 2.16 1 13.1 1.73 1.22 0.777 0.22 0.252 2.17 1 1

2.68 1.5 1.23 0.779 0.141 0.162 2.19 1 12.26 1.27 1.24 0.781 0.0832 0.0963 2.21 1 0.9972511.82 1.03 1.25 0.783 0.0438 0.0505 2.22 1 0.9115642.66 1.48 1.05 0.679 0.281 0.238 1.87 1 12.36 1.32 1.06 0.681 0.192 0.164 1.89 1 12.05 1.15 1.07 0.683 0.123 0.106 1.9 1 11.74 0.969 1.08 0.685 0.0731 0.0634 1.92 1 11.41 0.787 1.09 0.688 0.0386 0.0334 1.93 1 0.9651191.91 1.06 0.895 0.58 0.23 0.144 1.59 1 11.7 0.946 0.903 0.58 0.157 0.1 1.61 1 1

1.48 0.825 0.91 0.581 0.101 0.0652 1.62 1 11.25 0.699 0.918 0.583 0.0597 0.039 1.63 1 11.02 0.569 0.926 0.585 0.0313 0.0206 1.65 1 1

0.774 0.433 0.933 0.586 0.0136 0.009 1.66 1 0.9115641.29 0.716 0.735 0.481 0.188 0.0791 1.3 1 1

1 0.558 0.749 0.481 0.0833 0.0362 1.33 1 10.853 0.474 0.756 0.481 0.0495 0.0218 1.35 1 10.694 0.387 0.764 0.482 0.0261 0.0116 1.36 1 10.528 0.295 0.771 0.482 0.0114 0.0051 1.38 1 0.982970.628 0.348 0.591 0.386 0.0658 0.0174 1.04 1 10.536 0.298 0.598 0.386 0.0393 0.0106 1.06 1 10.44 0.244 0.605 0.387 0.0209 0.0057 1.08 1 1

0.338 0.188 0.612 0.389 0.0092 0.0025 1.09 1 1

0.23 0.129 0.62 0.391 0.0029 0.0008 1.1 1 0.912

b/t Iz Sz tip Sz heel rz Iw Sw Sc heel x Sc heel y26 27 28 29 30 31 32 33 34

7.111111 40.88448 13.36864 12.04571 1.56 155.3155 27.45616 40.875 40.8758 36.74736 12.1422 11.0103 1.56 141.4526 25.00553 37.75424 37.75424

9.142857 32.78317 10.89598 10.03515 1.57 126.6168 22.3829 34.50216 34.5021610.66667 28.34635 9.47702 8.868981 1.57 111.4537 19.70241 30.9292 30.9292

12.8 24.19012 8.135551 7.739817 1.58 95.00988 16.79553 26.96833 26.9683314.22222 21.89343 7.402745 7.068946 1.58 86.50657 15.29235 24.74886 24.74886

16 19.8203 6.738015 6.458558 1.59 77.7797 13.74964 22.48848 22.488486 15.0579 6.492404 5.724486 1.17 55.7421 13.13854 19.03226 19.03226

6.857143 13.34677 5.79883 5.214141 1.17 50.45323 11.89194 17.62431 17.624318 11.58089 5.102136 4.626513 1.17 44.61911 10.51682 15.87571 15.87571

9.6 9.760257 4.33378 4.012526 1.17 38.43974 9.060334 14.01163 14.0116310.66667 8.98098 4.016134 3.735595 1.18 35.01902 8.254062 12.94118 12.94118

12 8.034148 3.59557 3.401797 1.18 31.76585 7.487283 11.91617 11.9161713.71429 7.073392 3.188299 3.031299 1.18 28.12661 6.629505 10.66667 10.66667

16 6.202518 2.797986 2.70731 1.19 24.59748 5.797682 9.506173 9.50617319.2 5.197087 2.361379 2.29681 1.19 20.80291 4.903294 8.125 8.125

5.714286 7.561585 3.881559 3.427467 0.971 28.03842 7.930461 11.41026 11.410266.666667 6.594592 3.441388 3.067816 0.972 24.80541 7.016029 10.32895 10.32895

8 5.608688 2.954146 2.697919 0.975 21.59131 6.106945 9.251701 9.25170110 4.600316 2.4458 2.290785 0.98 17.99968 5.091079 7.957746 7.957746

11.42857 4.07774 2.186462 2.05957 0.983 15.92226 4.503495 7.142857 7.14285713.33333 3.548515 1.9045 1.831518 0.986 13.97148 3.951733 6.394161 6.394161

16 3.008907 1.628799 1.576014 0.99 11.87109 3.357652 5.511111 5.5111115.333333 3.252983 2.081634 1.811186 0.774 11.98702 4.238051 6 6

6.4 2.76174 1.787501 1.600693 0.774 10.47826 3.704624 5.42623 5.426238 2.25816 1.492299 1.353187 0.776 8.78184 3.104849 4.677966 4.677966

9.142857 1.992306 1.31815 1.22502 0.777 7.867694 2.78165 4.286957 4.28695710.66667 1.735565 1.160501 1.086044 0.779 6.904435 2.441086 3.823009 3.823009

12.8 1.463906 0.989379 0.932557 0.781 5.876094 2.077513 3.306306 3.30630616 1.183262 0.800663 0.774715 0.783 4.816738 1.702974 2.777778 2.7777787 1.507604 1.122144 1.015273 0.679 5.752396 2.324319 3.457143 3.4571438 1.340269 1.009548 0.92011 0.681 5.159731 2.084846 3.15534 3.15534

9.333333 1.166223 0.87962 0.824644 0.683 4.553778 1.840004 2.86 2.8611.2 0.985373 0.75143 0.711709 0.685 3.894627 1.573667 2.492339 2.49233914 0.804685 0.617805 0.596434 0.688 3.195315 1.291102 2.096436 2.0964366 0.9251 0.796766 0.704138 0.58 3.4749 1.638084 2.368138 2.368138

6.857143 0.817452 0.712074 0.637294 0.58 3.142548 1.481411 2.183021 2.1830218 0.712254 0.626807 0.569728 0.581 2.787746 1.314156 1.979638 1.979638

9.6 0.605002 0.53727 0.497443 0.583 2.394998 1.129013 1.744186 1.74418612 0.492804 0.441654 0.416824 0.585 1.967196 0.927345 1.471292 1.47129216 0.374302 0.338562 0.32595 0.586 1.521698 0.717335 1.167488 1.1674885 0.520562 0.528111 0.458397 0.481 1.919438 1.085798 1.519303 1.519303

6.666667 0.400255 0.416516 0.373381 0.481 1.543745 0.873274 1.282322 1.2823228 0.337787 0.355831 0.324968 0.481 1.336213 0.755876 1.138776 1.138776

10 0.276466 0.294414 0.274952 0.482 1.107534 0.626516 0.973277 0.97327713.33333 0.209324 0.225374 0.21545 0.482 0.860676 0.486872 0.778748 0.7787485.333333 0.204125 0.259834 0.228383 0.386 0.747875 0.528828 0.753165 0.753165

6.4 0.172835 0.223322 0.200678 0.386 0.655165 0.463271 0.679803 0.6798038 0.141382 0.185477 0.170601 0.387 0.550618 0.389346 0.590444 0.590444

10.66667 0.109254 0.14501 0.137708 0.389 0.432746 0.305998 0.483066 0.483066

16 0.075065 0.100433 0.099398 0.391 0.302935 0.214208 0.353933 0.353933Minor Axis Major Axis Geometric Axis

Shape Weight Area depth b t kdes x1 2 3 4 5 6 7 8

L8X6X1 44.4 13.1 8 6 1 1.5 1.65L8X6X7/8 39.3 11.5 8 6 0.875 1.375 1.6L8X6X3/4 34 9.99 8 6 0.75 1.25 1.56L8X6X5/8 28.6 8.41 8 6 0.625 1.125 1.51

L8X6X9/16 25.9 7.61 8 6 0.5625 1.0625 1.49L8X6X1/2 23.2 6.8 8 6 0.5 1 1.46

L8X6X7/16 20.4 5.99 8 6 0.4375 0.9375 1.44L8X4X1 37.6 11.1 8 4 1 1.5 1.04

L8X4X7/8 33.3 9.79 8 4 0.875 1.375 0.997L8X4X3/4 28.9 8.49 8 4 0.75 1.25 0.949L8X4X5/8 24.4 7.16 8 4 0.625 1.125 0.902

L8X4X9/16 22.1 6.49 8 4 0.5625 1.0625 0.878L8X4X1/2 19.7 5.8 8 4 0.5 1 0.854

L8X4X7/16 17.4 5.11 8 4 0.4375 0.9375 0.829L7X4X3/4 26.2 7.7 7 4 0.75 1.25 1L7X4X5/8 22.1 6.5 7 4 0.625 1.125 0.958L7X4X1/2 17.9 5.26 7 4 0.5 1 0.91

L7X4X7/16 15.8 4.63 7 4 0.4375 0.9375 0.886L7X4X3/8 13.6 4 7 4 0.375 0.875 0.861L6X4X7/8 27.2 7.98 6 4 0.875 1.375 1.12L6X4X3/4 23.6 6.94 6 4 0.75 1.25 1.07L6X4X5/8 19.9 5.86 6 4 0.625 1.125 1.03

L6X4X9/16 18.1 5.31 6 4 0.5625 1.0625 1L6X4X1/2 16.2 4.75 6 4 0.5 1 0.981

L6X4X7/16 14.2 4.18 6 4 0.4375 0.9375 0.957L6X4X3/8 12.3 3.61 6 4 0.375 0.875 0.933

L6X4X5/16 10.3 3.03 6 4 0.3125 0.8125 0.908L6X3-1/2X1/2 15.4 4.52 6 3.5 0.5 1 0.829L6X3-1/2X3/8 11.7 3.44 6 3.5 0.375 0.875 0.781

L6X3-1/2X5/16 9.83 2.89 6 3.5 0.3125 0.8125 0.756L5X3-1/2X3/4 19.8 5.82 5 3.5 0.75 1.1875 0.993L5X3-1/2X5/8 16.8 4.93 5 3.5 0.625 1.0625 0.947L5X3-1/2X1/2 13.6 4 5 3.5 0.5 0.9375 0.901L5X3-1/2X3/8 10.4 3.05 5 3.5 0.375 0.8125 0.854

L5X3-1/2X5/16 8.72 2.56 5 3.5 0.3125 0.75 0.829L5X3-1/2X1/4 7.03 2.07 5 3.5 0.25 0.6875 0.804

L5X3X1/2 12.8 3.75 5 3 0.5 0.9375 0.746L5X3X7/16 11.3 3.31 5 3 0.4375 0.875 0.722L5X3X3/8 9.74 2.86 5 3 0.375 0.8125 0.698

L5X3X5/16 8.19 2.41 5 3 0.3125 0.75 0.673L5X3X1/4 6.6 1.94 5 3 0.25 0.6875 0.648

L4X3-1/2X1/2 11.9 3.5 4 3.5 0.5 0.875 0.994L4X3-1/2X3/8 9.1 2.68 4 3.5 0.375 0.75 0.947

L4X3-1/2X5/16 7.65 2.25 4 3.5 0.3125 0.6875 0.923L4X3-1/2X1/4 6.18 1.82 4 3.5 0.25 0.625 0.897

L4X3X5/8 13.6 3.99 4 3 0.625 1 0.867L4X3X1/2 11.1 3.25 4 3 0.5 0.875 0.822L4X3X3/8 8.47 2.49 4 3 0.375 0.75 0.775

L4X3X5/16 7.12 2.09 4 3 0.3125 0.6875 0.75L4X3X1/4 5.75 1.69 4 3 0.25 0.625 0.725

L3-1/2X3X1/2 10.3 3.02 3.5 3 0.5 0.875 0.869L3-1/2X3X7/16 9.09 2.67 3.5 3 0.4375 0.8125 0.846L3-1/2X3X3/8 7.88 2.32 3.5 3 0.375 0.75 0.823

L3-1/2X3X5/16 6.65 1.95 3.5 3 0.3125 0.6875 0.798L3-1/2X3X1/4 5.38 1.58 3.5 3 0.25 0.625 0.773

L3-1/2X2-1/2X1/2 9.41 2.76 3.5 2.5 0.5 0.875 0.701L3-1/2X2-1/2X3/8 7.23 2.12 3.5 2.5 0.375 0.75 0.655

L3-1/2X2-1/2X5/16 6.1 1.79 3.5 2.5 0.3125 0.6875 0.632L3-1/2X2-1/2X1/4 4.94 1.45 3.5 2.5 0.25 0.625 0.607

L3X2-1/2X1/2 8.53 2.51 3 2.5 0.5 0.875 0.746L3X2-1/2X7/16 7.56 2.22 3 2.5 0.4375 0.8125 0.724L3X2-1/2X3/8 6.56 1.93 3 2.5 0.375 0.75 0.701

L3X2-1/2X5/16 5.54 1.63 3 2.5 0.3125 0.6875 0.677L3X2-1/2X1/4 4.49 1.32 3 2.5 0.25 0.625 0.653

L3X2-1/2X3/16 3.41 1 3 2.5 0.1875 0.5625 0.627L3X2X1/2 7.7 2.26 3 2 0.5 0.8125 0.58L3X2X3/8 5.95 1.75 3 2 0.375 0.6875 0.535

L3X2X5/16 5.03 1.48 3 2 0.3125 0.625 0.511L3X2X1/4 4.09 1.2 3 2 0.25 0.5625 0.487

L3X2X3/16 3.12 0.917 3 2 0.1875 0.5 0.462L2-1/2X2X3/8 5.3 1.56 2.5 2 0.375 0.625 0.578

L2-1/2X2X5/16 4.49 1.32 2.5 2 0.3125 0.5625 0.555L2-1/2X2X1/4 3.65 1.07 2.5 2 0.25 0.5 0.532

L2-1/2X2X3/16 2.78 0.818 2.5 2 0.1875 0.4375 0.508

y xp yp Ix Zx Sx rx Iy Zy9 10 11 12 13 14 15 16 17

2.65 0.816 1.47 80.9 27.3 15.1 2.49 38.8 16.22.6 0.721 1.41 72.4 24.3 13.4 2.5 34.9 14.4

2.55 0.624 1.34 63.5 21.1 11.7 2.52 30.8 12.52.5 0.526 1.27 54.2 17.9 9.86 2.54 26.4 10.5

2.48 0.476 1.23 49.4 16.2 8.94 2.55 24.1 9.522.46 0.425 1.2 44.4 14.6 8.01 2.55 21.7 8.522.43 0.374 1.16 39.3 12.9 7.06 2.56 19.3 7.53.03 0.691 2.47 69.7 24.3 14 2.51 11.6 7.732.99 0.612 2.41 62.6 21.7 12.5 2.53 10.5 6.772.94 0.531 2.34 55 18.9 10.9 2.55 9.37 5.822.89 0.448 2.27 47 16.1 9.2 2.56 8.11 4.862.86 0.405 2.23 42.9 14.6 8.34 2.57 7.44 4.392.84 0.363 2.2 38.6 13.1 7.48 2.58 6.75 3.912.81 0.32 2.16 34.2 11.6 6.59 2.59 6.03 3.422.5 0.55 1.87 37.8 14.8 8.39 2.21 9 5.6

2.45 0.464 1.8 32.4 12.5 7.12 2.23 7.79 4.692.4 0.376 1.74 26.6 10.2 5.79 2.25 6.48 3.77

2.38 0.331 1.7 23.6 9.03 5.11 2.26 5.79 3.312.35 0.286 1.67 20.5 7.81 4.42 2.27 5.06 2.842.12 0.665 1.44 27.7 12.7 7.13 1.86 9.7 6.262.07 0.578 1.38 24.5 11.1 6.23 1.88 8.63 5.422.03 0.488 1.31 21 9.44 5.29 1.89 7.48 4.56

2 0.442 1.28 19.2 8.59 4.81 1.9 6.86 4.131.98 0.396 1.25 17.3 7.71 4.31 1.91 6.22 3.691.95 0.349 1.22 15.4 6.81 3.81 1.92 5.56 3.241.93 0.301 1.19 13.4 5.89 3.3 1.93 4.86 2.791.9 0.252 1.16 11.4 4.96 2.77 1.94 4.13 2.33

2.07 0.376 1.48 16.6 7.49 4.23 1.92 4.24 2.882.02 0.287 1.41 12.9 5.74 3.23 1.93 3.33 2.18

2 0.241 1.38 10.9 4.84 2.72 1.94 2.84 1.821.74 0.582 1.12 13.9 7.6 4.26 1.55 5.52 4.071.69 0.493 1.06 12 6.5 3.63 1.56 4.8 3.431.65 0.4 0.997 9.96 5.33 2.97 1.58 4.02 2.791.6 0.305 0.933 7.75 4.09 2.28 1.59 3.15 2.12

1.57 0.256 0.901 6.58 3.45 1.92 1.6 2.69 1.771.55 0.207 0.868 5.36 2.78 1.55 1.61 2.2 1.421.74 0.375 1.25 9.43 5.12 2.89 1.58 2.55 2.081.72 0.331 1.21 8.41 4.53 2.56 1.59 2.29 1.821.69 0.286 1.18 7.35 3.93 2.22 1.6 2.01 1.571.67 0.241 1.15 6.24 3.32 1.87 1.61 1.72 1.311.64 0.194 1.12 5.09 2.68 1.51 1.62 1.41 1.051.24 0.438 0.497 5.3 3.46 1.92 1.23 3.76 2.691.2 0.334 0.433 4.15 2.66 1.48 1.25 2.96 2.06

1.17 0.281 0.401 3.53 2.24 1.25 1.25 2.52 1.741.14 0.227 0.368 2.89 1.81 1.01 1.26 2.07 1.41.37 0.498 0.81 6.01 4.08 2.28 1.23 2.85 2.451.32 0.407 0.747 5.02 3.36 1.87 1.24 2.4 1.991.27 0.311 0.683 3.94 2.6 1.44 1.26 1.89 1.521.25 0.262 0.651 3.36 2.19 1.22 1.27 1.62 1.281.22 0.211 0.618 2.75 1.77 0.988 1.27 1.33 1.03

1.12 0.431 0.48 3.45 2.61 1.45 1.07 2.32 1.971.09 0.382 0.446 3.1 2.32 1.29 1.08 2.09 1.751.07 0.331 0.411 2.73 2.03 1.12 1.09 1.84 1.521.05 0.279 0.375 2.33 1.72 0.951 1.09 1.58 1.281.02 0.226 0.336 1.92 1.39 0.773 1.1 1.3 1.041.2 0.395 0.736 3.24 2.52 1.41 1.08 1.36 1.39

1.15 0.303 0.668 2.56 1.96 1.09 1.1 1.09 1.071.13 0.256 0.633 2.2 1.67 0.925 1.11 0.937 0.91.1 0.207 0.596 1.81 1.36 0.753 1.12 0.775 0.728

0.995 0.418 0.494 2.07 1.86 1.03 0.91 1.29 1.340.972 0.37 0.462 1.87 1.66 0.921 0.917 1.17 1.190.949 0.321 0.43 1.65 1.45 0.803 0.924 1.03 1.030.925 0.271 0.397 1.41 1.23 0.681 0.932 0.888 0.873

0.9 0.22 0.363 1.16 1 0.555 0.94 0.734 0.7070.874 0.167 0.328 0.899 0.761 0.423 0.947 0.568 0.5361.08 0.377 0.736 1.92 1.78 1 0.922 0.667 0.8871.03 0.291 0.668 1.54 1.39 0.779 0.937 0.539 0.6791.01 0.247 0.633 1.32 1.19 0.662 0.945 0.467 0.5720.98 0.2 0.596 1.09 0.969 0.541 0.953 0.39 0.463

0.952 0.153 0.556 0.847 0.743 0.414 0.961 0.305 0.3510.826 0.311 0.425 0.914 0.982 0.546 0.766 0.513 0.6570.803 0.264 0.391 0.79 0.839 0.465 0.774 0.446 0.5570.779 0.214 0.356 0.656 0.688 0.381 0.782 0.372 0.454

0.754 0.164 0.318 0.511 0.529 0.293 0.79 0.292 0.347

Sy ry rz J Cw ro tan alpha Qs Iz18 19 20 21 22 23 24 25 26

8.92 1.72 1.28 4.34 16.3 3.88 0.542 1 21.463047.94 1.74 1.28 2.96 11.3 3.92 0.546 1 18.84166.92 1.75 1.29 1.9 7.28 3.95 0.55 1 16.624365.88 1.77 1.29 1.12 4.33 3.98 0.554 0.997251 13.995085.34 1.78 1.3 0.823 3.2 3.99 0.556 0.959168 12.86094.79 1.79 1.3 0.584 2.28 4.01 0.557 0.911564 11.4924.23 1.8 1.31 0.396 1.55 4.02 0.559 0.850359 10.279443.94 1.03 0.844 3.68 12.9 3.74 0.247 1 7.906933.51 1.04 0.846 2.51 8.89 3.78 0.252 1 7.006863.07 1.05 0.85 1.61 5.75 3.81 0.257 1 6.1340252.62 1.06 0.856 0.955 3.42 3.83 0.262 0.997251 5.246392.38 1.07 0.859 0.704 2.53 3.84 0.264 0.959168 4.7888482.15 1.08 0.863 0.501 1.8 3.86 0.266 0.911564 4.319661.9 1.09 0.867 0.34 1.22 3.87 0.268 0.850359 3.841131

3.01 1.08 0.855 1.47 3.97 3.31 0.324 1 5.6288922.56 1.1 0.86 0.868 2.37 3.34 0.329 1 4.80742.1 1.11 0.866 0.456 1.25 3.37 0.334 0.965119 3.944769

1.86 1.12 0.869 0.31 0.851 3.39 0.337 0.911564 3.4963951.61 1.12 0.873 0.198 0.544 3.4 0.339 0.840158 3.0485163.37 1.1 0.854 2.03 4.04 2.83 0.422 1 5.8199422.95 1.12 0.856 1.31 2.64 2.85 0.428 1 5.0851882.52 1.13 0.859 0.775 1.59 2.89 0.435 1 4.3239832.29 1.14 0.861 0.572 1.18 2.89 0.438 1 3.9364152.06 1.14 0.864 0.407 0.843 2.91 0.441 1 3.5458561.83 1.15 0.867 0.276 0.575 2.92 0.443 0.973 3.142061.58 1.16 0.87 0.177 0.369 2.94 0.446 0.912 2.7324091.34 1.17 0.874 0.104 0.217 2.95 0.449 0.826 2.3145441.59 0.968 0.756 0.386 0.779 2.88 0.343 1 2.5833431.22 0.984 0.763 0.168 0.341 2.9 0.349 0.912 2.0026611.03 0.991 0.767 0.099 0.201 2.92 0.352 0.826 1.7001552.2 0.974 0.744 1.09 1.52 2.36 0.464 1 3.22158

1.88 0.987 0.746 0.651 0.918 2.39 0.472 1 2.7436241.55 1 0.75 0.343 0.491 2.42 0.479 1 2.251.19 1.02 0.755 0.15 0.217 2.45 0.486 0.98297 1.7385761.01 1.02 0.758 0.0883 0.128 2.46 0.489 0.911564 1.470884

0.816 1.03 0.761 0.0464 0.067 2.48 0.491 0.804455 1.198781.13 0.824 0.642 0.322 0.444 2.38 0.357 1 1.545615

1 0.831 0.644 0.22 0.304 2.4 0.361 1 1.3727760.874 0.838 0.646 0.141 0.196 2.41 0.364 0.98297 1.1935240.739 0.846 0.649 0.0832 0.116 2.42 0.368 0.911564 1.015094

0.6 0.853 0.652 0.0438 0.0606 2.43 0.371 0.804455 0.8247021.5 1.04 0.716 0.301 0.302 2.03 0.75 1 1.794296

1.16 1.05 0.719 0.132 0.134 2.06 0.755 1 1.3854550.98 1.06 0.721 0.0782 0.0798 2.08 0.757 0.997251 1.169642

0.794 1.07 0.723 0.0412 0.0419 2.08 0.759 0.911564 0.9513671.34 0.845 0.631 0.529 0.472 1.91 0.534 1 1.5886621.1 0.858 0.633 0.281 0.255 1.94 0.543 1 1.302239

0.851 0.873 0.636 0.123 0.114 1.97 0.551 1 1.0071950.721 0.88 0.638 0.0731 0.0676 1.98 0.554 0.997251 0.8507220.585 0.887 0.639 0.0386 0.0356 1.99 0.558 0.911564 0.690062

1.09 0.877 0.618 0.26 0.191 1.75 0.713 1 1.153410.971 0.885 0.62 0.178 0.132 1.76 0.717 1 1.0263480.847 0.892 0.622 0.114 0.0858 1.78 0.72 1 0.8975710.718 0.9 0.624 0.068 0.0512 1.79 0.722 1 0.7592830.585 0.908 0.628 0.036 0.027 1.81 0.725 0.965119 0.6231270.756 0.701 0.532 0.234 0.159 1.67 0.485 1 0.7811460.589 0.716 0.535 0.103 0.0714 1.69 0.495 1 0.6067970.501 0.723 0.538 0.0611 0.0426 1.71 0.5 1 0.5181050.41 0.731 0.541 0.0322 0.0225 1.72 0.504 0.965119 0.424387

0.736 0.718 0.516 0.213 0.112 1.46 0.666 1 0.6683030.656 0.724 0.516 0.146 0.0777 1.48 0.671 1 0.5910880.573 0.731 0.517 0.0943 0.0507 1.49 0.675 1 0.5158680.487 0.739 0.518 0.056 0.0304 1.51 0.68 1 0.4373680.397 0.746 0.52 0.0296 0.0161 1.52 0.683 1 0.3569280.303 0.753 0.521 0.013 0.007 1.53 0.687 0.911564 0.2714410.47 0.543 0.425 0.192 0.0908 1.39 0.413 1 0.408212

0.368 0.555 0.426 0.0855 0.0413 1.42 0.426 1 0.3175830.314 0.562 0.428 0.051 0.0248 1.44 0.432 1 0.2711120.258 0.569 0.431 0.027 0.0132 1.45 0.437 1 0.2229130.198 0.577 0.435 0.0119 0.0058 1.46 0.442 0.911564 0.1735190.361 0.574 0.419 0.0746 0.0268 1.21 0.613 1 0.2738750.309 0.581 0.42 0.0444 0.0162 1.23 0.618 1 0.2328480.253 0.589 0.423 0.0235 0.0087 1.25 0.624 1 0.191454

0.195 0.597 0.426 0.0103 0.0038 1.26 0.628 0.98297 0.148447

Sz long tip Sz short tip Sz heel Iw Sw long tip Sw short tip Sc heel x27 28 29 30 31 32 33

10.85160952 7.064521207 7.910075 98.23696 17.89446364 22.31331736 30.528301899.655103413 6.207699761 7.109272 88.4584 16.06493624 20.14732608 27.846153858.673326855 5.499392028 6.404355 77.67564 14.05342005 17.75820786 24.901960787.400201822 4.635780178 5.526507 66.60492 12.01649918 15.26689492 21.686.871021861 4.272843585 5.12922 60.6391 10.92894173 13.91095663 19.919354846.188055768 3.814784528 4.647853 54.608 9.838735718 12.52964704 18.048780495.57828821 3.417247176 4.20834 48.32056 8.683624119 11.1181586 16.17283951

6.858053582 3.312693802 4.554076 73.39307 14.46345541 20.10006217 23.003300336.335633935 2.925448869 4.127963 66.09314 12.9550027 18.191585 20.936454855.750176387 2.545388489 3.715495 58.23598 11.33666153 16.14573366 18.707482995.107709351 2.165428774 3.268764 49.86361 9.641508103 13.92521284 16.262975784.755745613 1.968991288 3.032944 45.55115 8.770217534 12.7874931 154.388420411 1.771255486 2.777282 41.03034 7.881160557 11.54718471 13.59154933.978989542 1.568605548 2.513578 36.38887 6.960792835 10.29365535 12.170818514.898154085 2.431964708 3.269044 41.17111 8.971430006 12.46491312 15.124.348035097 2.072799505 2.868907 35.3826 7.656102833 10.79405917 13.22448983.692279423 1.693811005 2.429881 29.13523 6.26381609 8.950128574 11.083333333.32864071 1.50021642 2.185703 25.8936 5.555346621 7.967657455 9.915966387

2.952191997 1.303484564 1.941859 22.51148 4.809878053 6.962212336 8.7234042554.536858385 2.682796786 3.135518 31.58006 7.874959115 10.27681031 13.066037744.061096243 2.338808446 2.827959 28.04481 6.952100147 9.177247374 11.835748793.566982098 1.999034258 2.464845 24.15602 5.962477062 7.929836929 10.344827593.269263613 1.81298192 2.29075 22.12359 5.44224291 7.288073034 9.62.99991337 1.637710914 2.09006 19.97414 4.902776201 6.592481341 8.737373737

2.696089595 1.448219515 1.887344 17.81794 4.355891588 5.908961792 7.8974358972.379736128 1.26053915 1.667903 15.52759 3.789900153 5.155411653 6.9430051812.037214567 1.066381007 1.44066 13.21546 3.21372011 4.405445119 62.680185299 1.280700973 1.774571 18.25666 4.579770215 6.463413249 8.0193236712.157759692 0.988915976 1.427422 14.22734 3.543481838 5.075530896 6.3861386141.868748887 0.838329443 1.234526 12.03984 2.991942506 4.303588615 5.452.797237189 1.734428037 1.972652 16.19842 4.799356143 6.150771126 7.9885057472.446052089 1.479714058 1.738936 14.05638 4.137222688 5.369047855 7.1005917162.072698552 1.218076612 1.475037 11.73 3.439368272 4.492779883 6.0363636361.647370656 0.942640006 1.184742 9.161424 2.669974338 3.529530449 4.843751.410551866 0.796332973 1.025425 7.799116 2.263568986 3.018529304 4.1910828031.171531363 0.64901938 0.853319 6.36122 1.843192778 2.466002875 3.4580645161.788101879 0.906055069 1.200395 10.43439 3.141907126 4.353940349 5.419540231.622410825 0.804118048 1.086802 9.327224 2.800730241 3.900466859 4.8895348841.440322062 0.696597238 0.967234 8.166476 2.438409111 3.437861219 4.3491124261.250545475 0.591891829 0.840075 6.944906 2.068453824 2.929235376 3.7365269461.036613793 0.479019882 0.700096 5.675298 1.681278226 2.40918047 3.1036585371.423140863 1.149600205 1.165733 7.265704 2.590822992 2.911405674 4.2741935481.125800624 0.899415614 0.936851 5.724545 2.040660439 2.293479274 3.4583333330.957677475 0.760932029 0.811073 4.880358 1.73462936 1.961364804 3.0170940170.783838121 0.619648091 0.677746 4.008633 1.421285647 1.61522549 2.5350877191.549339041 1.037928669 1.126614 7.271338 2.665111619 3.285396304 4.3868613141.307610648 0.855198524 0.963007 6.117761 2.226716929 2.781642035 3.8030303031.041421115 0.664009653 0.779761 4.822805 1.744190916 2.206133606 3.1023622050.895533127 0.561964017 0.674211 4.129278 1.491267819 1.89089056 2.6880.734244869 0.455791352 0.562133 3.389938 1.219004332 1.559372651 2.254098361

1.066741619 0.838732498 0.849486 4.61659 1.890219111 2.148173498 3.0803571430.957129765 0.74898342 0.775964 4.163652 1.698380484 1.944757437 2.8440366970.849736575 0.659678591 0.694124 3.672429 1.497171631 1.715789206 2.5514018690.729704299 0.560939487 0.601827 3.150717 1.284172026 1.472096412 2.2190476190.603656787 0.461220916 0.508868 2.596873 1.054970611 1.217486319 1.8823529410.949339767 0.594841532 0.676673 3.818854 1.607698494 2.047898282 2.70.766564698 0.463309054 0.553047 3.043203 1.269761091 1.645746133 2.2260869570.669276408 0.396956472 0.483925 2.618895 1.09010197 1.418611381 1.9469026550.557402283 0.324485311 0.409197 2.160613 0.894153738 1.177911795 1.6454545450.737106903 0.56374061 0.570008 2.691697 1.292659738 1.495042756 2.080402010.662600475 0.50222139 0.517234 2.448912 1.173172297 1.363003496 1.9238683130.588034841 0.440927191 0.463925 2.164132 1.034401365 1.206943046 1.7386722870.505406683 0.37604557 0.404983 1.860632 0.887470474 1.039460206 1.5243243240.419116738 0.308068203 0.34096 1.537072 0.731097649 0.86114875 1.2888888890.322531892 0.235001464 0.268303 1.195559 0.567325429 0.671298416 1.0286041190.619469094 0.374139475 0.430448 2.178788 1.091571358 1.414550611 1.7777777780.508228755 0.291069028 0.354494 1.761417 0.871093415 1.157485341 1.4951456310.446669305 0.248660255 0.311752 1.515888 0.746936291 0.998816208 1.3069306930.376728369 0.203744233 0.265792 1.257087 0.614415235 0.835909025 1.1122448980.30079048 0.158082486 0.214903 0.978481 0.475001098 0.655596271 0.889705882

0.390247465 0.280424712 0.296252 1.153125 0.66682811 0.796694318 1.106537530.33950566 0.23971629 0.26038 1.003152 0.57807047 0.695313104 0.98381071

0.284971791 0.198321037 0.221659 0.836546 0.480305464 0.581730462 0.8421052630.225896079 0.154274585 0.178595 0.654553 0.374292104 0.457086427 0.677718833

Sc heel y Beta w34 35

23.51515152 3.3121.8125 3.31

19.74358974 3.3117.48344371 3.3116.17449664 3.3114.8630137 3.31

13.40277778 3.3111.15384615 5.4810.53159478 5.489.873551106 5.488.99113082 5.488.4738041 5.48

7.903981265 5.487.273823884 5.48

9 4.378.131524008 4.377.120879121 4.376.534988713 4.375.87688734 4.37

8.660714286 3.148.065420561 3.147.262135922 3.14

6.86 3.146.340468909 3.145.809822362 3.145.209003215 3.144.54845815 3.14

5.114595899 3.694.263764405 3.693.756613757 3.695.558912387 2.45.068637804 2.44.461709212 2.43.68852459 2.4

3.244873341 2.42.736318408 2.43.418230563 2.993.171745152 2.992.87965616 2.99

2.555720654 2.992.175925926 2.993.782696177 0.873.125659979 0.872.730227519 0.872.307692308 0.873.287197232 1.652.919708029 1.652.438709677 1.65

2.16 1.651.834482759 1.65

2.669735328 0.872.470449173 0.872.235722965 0.871.979949875 0.871.681759379 0.871.940085592 1.621.664122137 1.621.482594937 1.621.276771005 1.621.72922252 0.86

1.616022099 0.861.469329529 0.861.311669129 0.861.124042879 0.860.905901116 0.86

1.15 1.561.007476636 1.560.913894325 1.560.800821355 1.560.66017316 1.56

0.887543253 0.850.803603604 0.850.69924812 0.850.57480315 0.85

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