The purpose of this workbook is the design of rectangular tanks with horizontal stiffeners.

Job: xxxxDate: 3/5/2009

By: xxx Description: xxx

LEGENDINPUT

Intermediate resultsResults

V = 134 ft^3E = 30,000,000 psiG = 1.78H = 72 in INPUTW = 84.5 inL = 50 in Minimum recommended thicknessS = 16,700 psi t = 0.2500 in

ta = 0.2500

Calculating minimum recommended number of stiffeners based only on tank height1

Actual number of stiffeners used2 INPUT

Reference: "Pressure Vessel Handbook", 8th & 14th Editions and also "Roarkes Formulas for Stress and Strain", 7th Edition

Notes and additional actions required

Note to sheet user: When using Solver tool solve for the maximum stress in cell B176 equal to to the maximum allowable stress in cell B53 by changing the minimum recommended thickness in cell E126. THIS MUST BE DONE IN ORDER TO ASSURE THE CORRECT THICKNESS IS RECOMMENDED BELOW!

Longest horizontal span between sufficient vertical supports, such as vertical stiffeners, stays or vessel corners.

in Actual thickness used including corrosion allowance, if applicable. MAKE SURE TO CHANGE THIS TO GET PROPER STIFFENER SIZES!

H.1 = 32.40 in Between top of tank and 1st stiffenerH.2 = 21.60 in Between 1st and 2nd stiffenerH.3 = 18.00 in Between bottom stiffener and tank bottom

0.00 in0.00 in

Calculating distance(s) 'x' from top of tank to each stiffener (lowercase h's in figure above)x.1 = 32.40 inx.2 = 54.00 inx.3 = 72.00 in Tank height

0.00 in0.00 in

Calculating load(s) per inch at each stiffener. Where: w.n = 0.036*G*x.n^2/2w.1 = 33.63 lb/inw.2 = 93.43 lb/inw.3 = 166.10 lb/in Load at tank bottom

0.00 lb/in0.00 lb/in

Calculating Reactions on each stiffener. Where: R.n = 0.7*w.nR.1 = 23.54 lb/inR.2 = 65.40 lb/inR.3 = 116.27 lb/in Reaction at tank bottom

0.00 lb/in0.00 lb/in

Required moment of inertia of stiffener(s)

I.top = 0.009 in^4 L2X2X1/8 C3X3.5 HSS2X1X1/8 ST1.5X2.85 M3X2.9I.1 = 0.123 in^4 L2X2X1/8 C3X3.5 HSS2X1X1/8 ST1.5X3.75 M3X2.9I.2 = 0.341 in^4 L2X2X1/4 C3X3.5 HSS2X1X3/16 ST2X4.75 M3X2.9

0.000 in^4 NA NA NA NA NA0.000 in^4 NA NA NA NA NA

Calculating pressure(s) at each distance 'x'. Where: P.n = 0.036*G*(x.n-1 + x.n)/2P.1 = 1.038 psiP.2 = 2.768 psiP.3 = 4.037 psi

0.000 psi0.000 psi

Calculating Required Plate Thickness at each section. Where: t.n = 0.3*MAX(H.n,L)*SQRT(0.036*G*x.n/S)t.1 = 0.167 int.2 = 0.216 int.3 = 0.249 in

inin

Max. thickness = 0.249 in

Calculating Minimum Required Moment(s) of Inertia for Stiffener(s). Where: I.n = 1.25*R.n*L^3/E for intermediate stiffeners and I.top = 0.3*w.1*L^4/(192*E*ta) OR I.top = 0.06*w.1*L^4/(192*E*ta), depending on whether intermediate stiffeners are used or not.

Below are the smallest size of each structural steel shape that will satisfy the moment of inertia requirement for each stiffener.

Smallest Single Angle

Smallest C-Channel Shape

Smallest Rect. or

Square HSS Shape

Smallest WT, MT, or ST Shape

Smallest W, M, S, or HP

Shape

Thicknesses calculated based on pressure at level n and the longest dimension between lines of support.

Maximum deflection of top plate section Calculating H.1/L to find alphay(max) = alpha*0.036*G*H.1*L^4/(E*ta^3) H.1/L = 0.648y(max) = 0.0035*0.036*1.78*32.4*50^4/(30000000*0.25^3) Looking up alphay(max) = 0.09689 in alpha = 0.00350

Stress and Deflection Calculations below are based on formulas fromRoarkes Formulas for Stress and Strain, 7th EdThe top section of plate conforms to Case 10d of Table 11.4, pg 514Rectangular Plate; three edges fixed, one (a) edge free Uniformly decreasing load from fixed edge to zero at free edge

zz

Free edge Free edge

a

b

x qa = 50.00 in tr = 0.1974 inb = 32.40 in q = 1.038 psi

a/b = 1.54(At x = 0, z = 0) sigmaR1 = beta1*q*b^2/tr^2 and Rr.1 = gamma1*q*b

a/b 0.25 0.50 0.75 1.00 1.50 2.00 3.00beta1 0.018 0.064 0.120 0.195 0.351 0.507 0.758beta2 0.019 0.068 0.125 0.166 0.244 0.387 0.514gamma1 0.106 0.195 0.265 0.324 0.406 0.458 0.505gamma2 0.075 0.151 0.211 0.242 0.106 0.199 0.313Calculating beta's and gamma's Calculating stresses and reactions based on the required thickness 'tr'

beta1 = 0.351 sigmaR1 = 9818.32 psibeta2 = 0.244 sigmaR2 = 6825.27 psi

gamma1 = 0.406 Rr.1 = 13.66 lb/ingamma2 = 0.106 Rr.2 = 3.57 lb/in

Minimum thickness using the solver tool with Roarks Formulas

(At x = +a/2, z = b if a > b or z = 0.4b if a < b) sigmaR2 = beta2*q*b^2/tr^2 and Rr.2 = gamma2*q*b

The remaining sections of plate conform to Case 8a of Table 11.4, pg 508 (assuming uniform pressure across height of each section)Rectangular Plate; all edges fixed.Uniform load over entire plate.

a = 50.00 in = L (tank length)b.1 = 21.60 in section height between 1st and 2nd stiffenerb.2 = 18.00 in section height between 2nd and 3rd stiffenerb.3 = 0.00 in section height between 3rd and 4th stiffenerb.4 = 0.00 in section height between 4th stiffener and tank bottom

tr = 0.1974 in Required thickness found above using the solver toola/b 1 1.2 1.4 1.6 1.8 2 3

beta1 0.3078 0.3834 0.4356 0.468 0.4872 0.4974 0.5beta2 0.1386 0.1794 0.2094 0.2286 0.2406 0.2472 0.25alpha 0.0138 0.0188 0.0226 0.0251 0.0267 0.0277 0.0284

Calculating beta's and alpha'sa/b.1 = 2.31 beta1(b.1) = 0.4974 beta2(b.1) = 0.2472 alpha(b.1) = 0.0277a/b.2 = 2.78 beta1(b.2) = 0.4974 beta2(b.2) = 0.2472 alpha(b.2) = 0.0277a/b.3 = 0.00 beta1(b.3) = 0 beta2(b.3) = 0 alpha(b.3) = 0a/b.4 = 0.00 beta1(b.4) = 0 beta2(b.4) = 0 alpha(b.4) = 0

Calculating stresses and deflections based on the required thickness 'tr'(At center of long edge) sigma(max) = beta1*P.(n+1)*b.n^2/tr^2sigma(max)(b.1) = 16490.06 psisigma(max)(b.2) = 16700.00 psisigma(max)(b.3) = 0.00 psisigma(max)(b.4) = 0.00 psi

sigma©(b.1) = 8195.30 psi delta(b.1) = 0.0724 insigma©(b.2) = 8299.64 psi delta(b.2) = 0.0509 insigma©(b.3) = 0.00 psi delta(b.3) = 0.0000 insigma©(b.4) = 0.00 psi delta(b.4) = 0.0000 inMax Stress = 16700.00 psi Max Deflection = 0.0969 in

(At center) sigma© = beta2*P.(n+1)*b.n^2/tr^2 and delta(max) = alpha*P.(n+1)*b.n^4/(E*tr^3)

Minimum Recommended Plate Thickness is 0.25 in, which is the greater of that found using the Pressure Vessel Handbook and Roarks Formulas for Stress and Strain rounded up to the nearest 1/16th in.

Single AnglesIx Shape

0.000 L2X2X1/80.189 L2X2X3/160.271 L2X2X1/40.346 L2X2X5/160.414 L2-1/2X1-1/2X3/160.464 L2X2X3/80.476 L2-1/2X2X3/160.511 L2-1/2X2-1/2X3/160.535 L2-1/2X1-1/2X1/40.594 L2-1/2X2X1/40.656 L2-1/2X2-1/2X1/40.692 L2-1/2X2X5/160.790 L2-1/2X2-1/2X5/160.837 L3X2X3/160.847 L3X2-1/2X3/160.899 L2-1/2X2X3/80.914 L3X3X3/160.948 L2-1/2X2-1/2X3/80.972 L3X2X1/41.09 L3X2-1/2X1/41.16 L2-1/2X2-1/2X1/21.22 L3X3X1/41.23 L3X2X5/161.32 L3X2-1/2X5/161.41 L3X3X5/161.50 L3X2X3/81.54 L3X2-1/2X3/81.65 L3X3X3/81.75 L3-1/2X2-1/2X1/41.81 L3X2-1/2X7/161.87 L3-1/2X3X1/41.92 L3X2X1/21.92 L3X3X7/161.98 L3-1/2X3-1/2X1/42.00 L3X2-1/2X1/22.07 L3-1/2X2-1/2X5/162.20 L3X3X1/22.20 L3-1/2X3X5/162.33 L3-1/2X3-1/2X5/162.44 L3-1/2X2-1/2X3/82.56 L3-1/2X3X3/82.73 L4X3X1/42.75 L3-1/2X3-1/2X3/82.86 L4X3-1/2X1/42.89 L4X4X1/43.00 L3-1/2X3X7/163.10 L3-1/2X2-1/2X1/23.24 L3-1/2X3-1/2X7/163.25 L4X3X5/163.36 L3-1/2X3X1/23.45 L4X3-1/2X5/163.53 L3-1/2X3-1/2X1/2

3.63 L4X4X5/163.67 L4X3X3/83.94 L4X3-1/2X3/84.15 L4X4X3/84.32 L4X4X7/164.93 L4X3X1/25.02 L5X3X1/45.09 L4X3-1/2X1/25.30 L5X3-1/2X1/45.36 L4X4X1/25.52 L4X3X5/86.01 L5X3X5/166.24 L5X3-1/2X5/166.58 L4X4X5/86.62 L5X3X3/87.35 L5X5X5/167.44 L4X4X3/47.62 L5X3-1/2X3/87.75 L5X3X7/168.41 L5X5X3/88.76 L5X3X1/29.43 L5X5X7/1610.0 L5X3-1/2X1/210.0 L6X3-1/2X5/1610.9 L5X5X1/211.3 L6X4X5/1611.4 L5X3-1/2X5/812.0 L6X3-1/2X3/812.9 L6X6X5/1613.0 L6X4X3/813.4 L5X5X5/813.6 L5X3-1/2X3/413.9 L6X6X3/815.4 L6X4X7/1615.4 L5X5X3/415.7 L6X3-1/2X1/216.6 L6X4X1/217.3 L6X6X7/1617.6 L5X5X7/817.8 L6X4X9/1619.2 L6X6X1/219.9 L7X4X3/820.5 L6X4X5/821.0 L6X6X9/1622.0 L7X4X7/1623.6 L6X6X5/824.1 L6X4X3/424.5 L7X4X1/226.6 L6X4X7/827.7 L6X6X3/428.1 L6X6X7/831.9 L7X4X5/832.4 L8X4X7/1634.2 L6X6X1

35.4 L7X4X3/437.8 L8X4X1/238.6 L8X6X7/1639.3 L8X4X9/1642.9 L8X6X1/244.4 L8X4X5/847.0 L8X8X1/248.8 L8X6X9/1649.4 L8X8X9/1654.2 L8X6X5/854.2 L8X4X3/455.0 L8X8X5/859.6 L8X4X7/862.6 L8X6X3/463.5 L8X4X169.7 L8X8X3/469.9 L8X6X7/872.4 L8X8X7/879.7 L8X6X180.9 L8X8X189.1 L8X8X1-1/898.1 N/A

AISC 13th Edition C and MC Shapes

Page 9 of 30

Ix Shape0.00 C3X3.51.57 C3X4.11.65 C3X51.85 C3X62.07 MC3x7.12.72 C4X4.53.65 C4X5.43.85 C4X7.24.58 C5X6.77.48 MC4x13.88.85 C5X98.89 MC6x6.511.0 MC6x711.4 C6X8.213.1 C6X10.515.1 C6X1317.3 MC6X1218.7 C7X9.821.2 MC10X6.522.9 MC8X8.523.3 C7X12.224.2 MC6X15.124.9 MC6X15.325.3 MC6X16.326.0 C7X14.727.2 MC6X1829.7 MC10X8.431.9 C8X11.532.5 C8X13.736.1 MC7X19.1

43.1 C8X18.743.9 MC7X22.747.4 C9X13.447.8 C9X1551.0 MC8X18.752.4 MC8X2054.4 MC12X10.655.3 C9X2060.9 MC8X21.461.5 MC8X22.863.8 C10X15.367.3 C10X2078.9 MC9X23.984.9 MC9X25.487.9 C10X2591.1 MC10X22102 C10X30103 MC10X25110 MC10X28.5126 C12X20.7129 MC10X33.6139 C12X25144 MC10X41.1157 C12X30162 MC12X31202 MC12X35216 MC12X40234 MC13X31.8239 MC12X45

AISC 13th Edition C and MC Shapes

Page 10 of 30

Ix Shape251 MC13X35252 MC12X50269 MC13X40273 MC13X50314 C15X33.9315 C15X40348 C15X50404 MC18X42.7554 MC18X45.8578 MC18X51.9627 MC18X58675 N/A

Ix Shape0.000 HSS2X1X1/80.280 HSS2X1X3/160.350 HSS2X1-1/2X1/80.383 HSS2X2X1/80.486 HSS2X1-1/2X3/160.495 HSS2-1/2X1X1/80.503 HSS2X2X3/160.641 HSS2-1/2X1X3/160.646 HSS2-1/4X2X1/80.646 HSS2-1/2X1-1/2X1/80.668 HSS2-1/4X2-1/4X1/80.712 HSS2X2X1/40.747 HSS3X1X1/80.817 HSS2-1/2X2X1/80.833 HSS2-1/4X2X3/160.859 HSS2-1/2X1-1/2X3/160.882 HSS2-1/4X2-1/4X3/160.953 HSS2-1/2X2-1/2X1/80.998 HSS2-1/2X1-1/2X1/41.03 HSS3X1-1/2X1/81.06 HSS3X1X3/161.07 HSS2-1/2X2X3/161.12 HSS2-1/4X2-1/4X1/41.13 HSS3X2X1/81.30 HSS2-1/2X2X1/41.33 HSS2-1/2X2-1/2X3/161.35 HSS3X1-1/2X3/161.42 HSS3X2-1/2X1/81.54 HSS3-1/2X1-1/2X1/81.57 HSS2-1/2X2-1/2X1/41.63 HSS3X1-1/2X1/41.68 HSS3X2X3/161.77 HSS3X3X1/81.78 HSS2-1/2X2-1/2X5/161.82 HSS3-1/2X2X1/81.90 HSS3X2-1/2X3/162.11 HSS3-1/2X1-1/2X3/162.12 HSS3X2X1/42.13 HSS3-1/2X2-1/2X1/82.23 HSS3X2X5/162.38 HSS3X3X3/162.46 HSS3-1/2X1-1/2X1/42.55 HSS3X2-1/2X1/42.57 HSS3-1/2X2X3/162.61 HSS4X2X1/82.65 HSS3-1/2X3-1/2X1/82.90 HSS3X2-1/2X5/162.92 HSS3X3X1/43.02 HSS4X2-1/2X1/83.09 HSS3-1/2X2-1/2X3/163.09 HSS3-1/2X2X1/43.17 HSS3X3X5/163.45 HSS4X3X1/8

3.52 HSS4X2X3/163.66 HSS3X3X3/83.78 HSS3-1/2X2-1/2X1/43.79 HSS3-1/2X3-1/2X3/164.05 HSS4X2-1/2X3/164.30 HSS3-1/2X2-1/2X5/164.34 HSS4X4X1/84.40 HSS4X2X1/44.49 HSS5X2X1/84.65 HSS3-1/2X2-1/2X3/84.75 HSS4X3X3/164.93 HSS3-1/2X3-1/2X1/45.04 HSS4X2X5/165.13 HSS4X2-1/2X1/45.32 HSS5X2-1/2X1/85.34 HSS4X2X3/85.60 HSS3-1/2X3-1/2X5/165.84 HSS5X3X1/86.03 HSS4X2-1/2X5/166.13 HSS4X3X1/46.15 HSS4X4X3/166.21 HSS4-1/2X4-1/2X1/86.35 HSS3-1/2X3-1/2X3/86.49 HSS5X2X3/166.50 HSS4X2-1/2X3/86.77 HSS4X3X5/167.14 HSS6X2X1/87.42 HSS5X4X1/87.42 HSS5X2-1/2X3/167.51 HSS4X4X1/47.80 HSS4X3X3/87.93 HSS5X2X1/48.08 HSS5X3X3/168.53 HSS5X5X1/88.80 HSS4-1/2X4-1/2X3/169.02 HSS4X4X5/169.14 HSS5X2X5/169.35 HSS5X2-1/2X1/49.40 HSS6X3X1/89.43 HSS4X4X3/810.3 HSS5X2X3/810.4 HSS6X2X3/1610.5 HSS5X4X3/1610.6 HSS5X3X1/410.7 HSS7X2X1/811.1 HSS6X4X1/811.4 HSS4-1/2X4-1/2X1/411.4 HSS5-1/2X5-1/2X1/811.8 HSS4X4X1/211.9 HSS5X5X3/1612.6 HSS5X3X5/1612.6 HSS6X2X1/413.1 HSS6X5X1/813.4 HSS6X3X3/16

13.4 HSS5X4X1/413.4 HSS4-1/2X4-1/2X5/1613.5 HSS7X3X1/813.8 HSS5X3X3/814.1 HSS6X2X5/1615.3 HSS4-1/2X4-1/2X3/815.3 HSS6X6X1/815.5 HSS8X2X1/815.7 HSS7X2X3/1615.7 HSS5X4X5/1615.8 HSS5X5X1/416.0 HSS6X4X3/1616.4 HSS5X3X1/216.4 HSS7X4X1/816.6 HSS6X3X1/417.0 HSS5-1/2X5-1/2X3/1617.0 HSS6X2X3/817.1 HSS5X4X3/817.9 HSS4-1/2X4-1/2X1/218.1 HSS5X5X5/1619.0 HSS8X3X1/819.3 HSS7X5X1/819.3 HSS6X5X3/1619.3 HSS7X3X3/1619.8 HSS7X2X1/419.8 HSS6X3X5/1620.1 HSS6X4X1/420.9 HSS5X4X1/221.2 HSS5-1/2X5-1/2X1/421.7 HSS5X5X3/821.7 HSS6X6X3/1622.3 HSS8X2X3/1622.4 HSS6X3X3/822.7 HSS8X4X1/822.9 HSS7X4X3/1623.8 HSS6X5X1/424.7 HSS7X7X1/824.8 HSS6X4X5/1624.8 HSS7X3X1/425.2 HSS5-1/2X5-1/2X5/1625.9 HSS5X5X1/226.0 HSS6X3X1/226.8 HSS8X3X3/1627.8 HSS7X5X3/1627.9 HSS6X4X3/828.3 HSS10X2X1/828.5 HSS8X2X1/428.5 HSS6X6X1/428.6 HSS6X5X5/1629.6 HSS5-1/2X5-1/2X3/829.7 HSS7X3X5/1629.9 HSS7X4X1/430.5 HSS8X4X3/1633.1 HSS8X2X5/16

33.7 HSS6X5X3/833.9 HSS6X4X1/234.0 HSS7X3X3/834.1 HSS10X3X1/834.2 HSS6X6X5/1634.3 HSS8X3X1/435.5 HSS7X5X1/435.9 HSS7X7X3/1636.0 HSS7X4X5/1636.5 HSS10X3-1/2X1/837.0 HSS8X8X1/837.4 HSS9X3X3/1637.6 HSS8X2X3/838.2 HSS6X6X3/839.5 HSS10X4X1/839.8 HSS7X3X1/240.7 HSS10X2X3/1641.0 HSS6X5X1/241.1 HSS7X4X3/841.8 HSS8X3X5/1642.4 HSS8X4X1/442.5 HSS7X5X5/1643.0 HSS8X6X3/1643.7 HSS7X7X1/446.5 HSS9X3X1/448.2 HSS6X6X1/248.3 HSS8X3X3/848.5 HSS10X3X3/1649.4 HSS7X5X3/849.5 HSS7X4X1/250.7 HSS8X4X5/1651.0 HSS9X5X3/1651.1 HSS10X2X1/452.5 HSS9X9X1/853.5 HSS10X3-1/2X3/1653.6 HSS8X8X3/1654.4 HSS6X6X5/855.2 HSS7X7X5/1656.1 HSS8X6X1/456.6 HSS9X3X5/1657.7 HSS10X4X3/1657.8 HSS8X3X1/258.6 HSS8X4X3/858.7 HSS7X5X1/260.6 HSS10X2X5/1662.6 HSS10X3X1/463.6 HSS9X7X3/1664.7 HSS7X7X3/865.0 HSS9X5X1/466.1 HSS10X5X3/1666.2 HSS9X3X3/866.3 HSS12X2X3/1667.4 HSS8X6X5/1668.3 HSS10X3-1/2X1/4

69.1 HSS8X8X1/470.7 HSS10X2X3/871.7 HSS8X4X1/271.8 HSS10X6X3/1674.6 HSS10X4X1/474.7 HSS10X3X5/1676.3 HSS9X9X3/1678.2 HSS8X6X3/879.1 HSS12X3X3/1679.6 HSS9X5X5/1679.8 HSS7X7X1/280.5 HSS9X3X1/280.8 HSS8X4X5/882.0 HSS10X3-1/2X5/1683.2 HSS9X7X1/484.1 HSS8X8X5/1685.6 HSS10X5X1/485.8 HSS12X2X1/486.9 HSS10X3X3/888.0 HSS10X4X5/1690.1 HSS10X8X3/1691.4 HSS12X4X3/1691.8 HSS9X5X3/892.5 HSS7X7X5/893.4 HSS10X3-1/2X3/896.1 HSS10X6X1/496.9 HSS8X6X1/298.2 HSS8X8X3/8100 HSS9X9X1/4102 HSS9X7X5/16102 HSS12X3X1/4103 HSS12X2X5/16104 HSS10X5X5/16104 HSS10X4X3/8104 HSS10X10X3/16108 HSS8X6X5/8114 HSS9X5X1/2115 HSS12X6X3/16116 HSS10X6X5/16118 HSS10X3-1/2X1/2118 HSS12X4X1/4119 HSS10X8X1/4119 HSS9X7X3/8119 HSS10X5X3/8120 HSS12X3X5/16124 HSS9X9X5/16124 HSS8X8X1/2125 HSS10X4X1/2129 HSS9X5X5/8133 HSS12X3-1/2X5/16134 HSS14X4X3/16137 HSS10X6X3/8137 HSS12X8X3/16140 HSS10X10X1/4

141 HSS12X4X5/16144 HSS10X8X5/16145 HSS9X9X3/8145 HSS8X8X5/8146 HSS10X4X5/8149 HSS9X7X1/2149 HSS12X6X1/4151 HSS12X3-1/2X3/8156 HSS12X4X3/8168 HSS10X8X3/8169 HSS14X6X3/16170 HSS10X6X1/2171 HSS10X10X5/16172 HSS9X7X5/8174 HSS14X4X1/4178 HSS9X9X1/2183 HSS12X8X1/4184 HSS12X6X5/16184 HSS12X12X3/16189 HSS16X4X3/16193 HSS10X6X5/8201 HSS10X10X3/8202 HSS12X4X1/2210 HSS10X8X1/2214 HSS12X6X3/8215 HSS14X4X5/16216 HSS12X10X1/4216 HSS9X9X5/8216 HSS14X6X1/4222 HSS12X8X5/16224 HSS12X4X5/8245 HSS12X12X1/4248 HSS14X4X3/8252 HSS16X4X1/4253 HSS10X8X5/8253 HSS10X10X1/2256 HSS12X8X3/8262 HSS12X10X5/16264 HSS14X6X5/16271 HSS12X6X1/2271 HSS12X12X5/16304 HSS10X10X5/8304 HSS16X4X5/16308 HSS14X10X1/4310 HSS12X10X3/8310 HSS14X6X3/8317 HSS14X4X1/2317 HSS12X6X5/8321 HSS12X8X1/2333 HSS12X12X3/8357 HSS16X4X3/8360 HSS16X8X1/4368 HSS14X4X5/8373 HSS14X10X5/16

380 HSS12X10X1/2395 HSS12X8X5/8397 HSS14X6X1/2402 HSS18X6X1/4419 HSS14X10X3/8447 HSS16X8X5/16451 HSS16X4X1/2455 HSS12X12X1/2457 HSS20X4X1/4458 HSS14X6X5/8478 HSS14X14X5/16490 HSS18X6X5/16513 HSS16X8X3/8531 HSS16X4X5/8539 HSS12X12X5/8548 HSS20X4X5/16560 HSS14X10X1/2573 HSS14X14X3/8577 HSS16X12X5/16595 HSS18X6X3/8602 HSS20X4X3/8657 HSS16X8X1/2679 HSS14X10X5/8687 HSS16X12X3/8702 HSS16X16X5/16739 HSS14X14X1/2743 HSS18X6X1/2770 HSS20X8X5/16786 HSS16X8X5/8815 HSS20X4X1/2838 HSS16X16X3/8873 HSS14X14X5/8897 HSS16X12X1/2904 HSS18X6X5/8923 HSS20X8X3/8926 HSS20X12X5/16

1010 HSS16X12X5/81090 HSS16X16X1/21130 HSS20X8X1/21190 HSS20X12X3/81200 HSS16X16X5/81370 HSS20X8X5/81440 HSS20X12X1/21550 HSS20X12X5/81880 N/A

Ix Shape0.000 ST1.5X2.850.114 ST1.5X3.750.200 MT2X30.208 ST2X3.850.307 ST2X4.750.462 MT3X1.850.483 WT2X6.50.526 MT3X2.20.579 ST2.5X50.671 WT2.5X80.845 WT3X4.250.905 WT3X4.50.950 WT2.5X9.51.01 MT2.5X9.451.05 ST3X6.251.26 WT3X61.32 WT3X7.51.41 MT4X3.11.50 MT4X3.251.57 WT3X81.69 WT3X101.76 ST3X8.62.12 WT4X52.15 WT3X12.52.29 WT4X6.52.89 MT5X3.752.91 MT5X43.08 WT4X7.53.28 WT4X93.41 MT5X4.53.47 ST4X9.23.49 WT4X123.53 WT4X10.53.90 WT4X144.23 WT4X15.54.28 WT5X64.35 WT4X17.54.82 ST4X11.55.00 WT5X7.55.45 MT6X55.62 WT4X205.73 MT6X5.46.03 WT5X8.56.06 MT6X5.96.61 WT5X9.56.68 WT4X246.85 WT5X116.88 MT6.25X5.96.94 MT6.25X6.27.29 WT6X77.67 WT5X16.57.71 ST5X12.77.79 WT5X13

7.86 WT6X88.70 WT5X19.58.84 WT4X299.12 WT5X159.28 WT5X24.510.0 WT6X9.510.1 WT5X22.510.2 WT4X33.510.9 WT5X2711.1 WT6X1311.7 WT6X1111.7 ST5X17.512.5 WT5X3012.9 WT6X1513.5 WT6X2014.4 WT7X1114.8 ST6X15.914.8 WT5X3414.9 WT6X17.516.0 WT6X22.516.6 ST6X17.517.2 WT7X1317.3 WT5X38.517.4 WT6X26.517.7 WT6X2518.7 ST6X20.418.9 WT7X1519.0 WT6X2919.1 WT6X32.520.6 WT5X4420.8 WT7X1720.9 WT7X21.521.9 WT6X3623.2 WT7X1923.3 WT8X1323.5 WT5X5024.5 WT7X2424.9 ST6X2525.1 WT6X39.525.8 WT8X15.527.5 WT7X26.527.6 WT5X5628.6 WT7X30.528.9 WT6X43.528.9 WT8X1830.6 WT6X4832.0 WT7X3432.6 ST7.5X21.4532.9 WT8X2033.1 WT7X3736.0 WT6X5336.3 WT7X4536.5 WT8X22.537.8 WT9X17.5

40.1 ST7.5X2540.5 WT7X49.540.9 WT7X4141.2 WT8X2542.3 WT6X6043.4 WT9X2044.8 WT7X54.545.3 WT8X33.548.6 WT8X28.548.7 WT6X6850.6 WT7X6051.7 WT9X2352.1 WT9X2553.5 WT8X38.556.9 WT7X6657.8 WT6X7658.5 WT9X27.559.5 ST9X27.3562.3 WT7X72.562.5 WT9X3064.7 WT8X44.567.2 WT6X8567.8 WT7X79.570.2 WT9X32.570.7 WT10.5X2271.1 WT9X3871.8 WT10.5X2474.9 WT8X5076.8 WT9X35.578.2 WT6X9579.0 WT10.5X2580.3 WT7X8880.5 WT9X4382.4 WT10.5X27.584.4 ST9X3584.5 WT7X96.589.8 WT10.5X28.590.4 WT6X10592.1 ST10X3392.9 WT10.5X3193.8 WT9X48.593.8 WT7X105.5102 WT10.5X34103 WT9X53104 WT6X115106 ST10X37.5109 WT10.5X36.5110 WT7X116.5116 WT12X27.5117 WT9X59.5119 WT6X126121 ST10X43124 WT10.5X41.5127 WT9X65

127 WT12X31131 WT7X128.5133 WT10.5X50.5135 WT12X34137 WT6X139.5141 WT9X71.5142 ST10X48143 WT10.5X46.5144 WT10.5X55.5150 WT12X38151 WT7X141.5153 WT9X79160 WT6X152.5162 ST12X40162 WT12X42166 WT10.5X61166 WT7X155.5176 WT10.5X66181 WT9X87.5181 WT12X47186 WT12X52189 WT6X168190 ST12X45190 WT9X96202 WT7X171203 WT12X51.5204 WT10.5X73.5204 WT12X58.5212 ST12X50215 WT13.5X42216 ST12X53216 WT10.5X83226 WT9X105.5229 WT7X185229 WT12X65.5238 WT13.5X47239 WT10.5X91253 WT7X199257 WT13.5X51258 ST12X60.5259 WT9X117261 WT12X73264 WT10.5X100.5285 WT7X213287 WT13.5X57289 WT15X45290 WT12X81293 WT9X129298 WT12X88319 WT7X227.5321 WT15X49.5322 WT13.5X64.5323 WT13.5X73336 WT9X141.5

337 WT15X54349 WT12X96350 WT13.5X80.5372 WT15X58373 WT7X250375 WT12X103.5382 WT9X155.5383 WT15X62396 WT13.5X89414 WT15X66421 WT12X114.5431 WT7X275442 WT13.5X97444 WT15X74466 WT16.5X59469 WT12X125478 WT15X86.5497 WT13.5X108.5502 WT16.5X65513 WT7X302.5524 WT12X139.5546 WT15X95.5549 WT16.5X70.5552 WT13.5X117.5556 WT16.5X76592 WT15X105.5610 WT12X153611 WT13.5X129613 WT7X332.5622 WT18X67.5637 WT16.5X84.5649 WT15X117.5674 WT13.5X140.5677 WT12X167.5686 WT18X75698 WT16.5X100.5725 WT7X365739 WT18X80740 WT13.5X153.5753 WT15X130.5765 WT12X185779 WT18X85786 WT16.5X110.5799 WT20X74.5815 WT13.5X168839 WT18X91845 WT15X146861 WT16.5X120.5872 WT20X83.5899 WT18X97901 WT13.5X184939 WT16.5X131.5943 WT20X91.5955 WT18X116

978 WT15X163981 WT18X105985 WT20X99.5988 WT20X107.5

1030 WT18X123.51040 WT16.5X145.51060 WT18X115.51080 WT15X178.51090 WT18X1311110 WT20X105.51120 WT16.5X1591160 WT18X1411190 WT20X124.51210 WT18X1281210 WT15X195.51220 WT20X117.51260 WT18X1511280 WT16.5X1771320 WT20X138.51360 WT18X1651410 WT22X1151440 WT20X1321450 WT16.5X193.51460 WT20X148.51500 WT13.5X269.51530 WT20X1391550 WT18X180.51570 WT20X1471630 WT22X1311640 WT20X1621650 WT18X197.51740 WT22X1451830 WT20X163.51840 WT20X1811870 WT20X165.51880 WT20X1861930 WT18X220.51980 WT20X198.52070 WT22X167.52170 WT18X243.52220 WT20X1962270 WT20X215.52290 WT18X264.52440 WT20X251.52730 WT18X3263160 WT20X296.53310 WT18X4004090 N/A

Ix Shape0.00 M3X2.91.50 S3X5.72.50 M4X3.452.86 M4X3.22.86 S3X7.52.91 M4X4.083.53 M4X64.72 M6X3.75.96 S4X7.76.05 S4X9.56.76 M6X4.47.23 W4X1311.3 S5X1012.3 W6X8.514.9 W6X916.4 M8X6.217.6 M8X6.518.5 W5X1621.4 S6X12.522.0 W6X1222.1 M5X18.924.2 S6X17.226.2 W5X1926.3 W6X1529.1 W8X1030.8 W6X1632.1 M10X7.533.0 M10X834.6 M10X939.0 W8X1339.6 W6X2041.4 W8X1548.0 W6X2553.4 W10X1253.8 S8X18.457.5 M12X1061.7 W8X1861.9 S8X2364.7 M12X10.866.7 W10X1568.9 M12X11.872.2 W8X2175.3 M12.5X11.680.3 W10X1781.9 W8X2482.7 W12X1488.6 M12.5X12.489.3 W10X1996.3 W8X2898.0 W12X16103 W8X31110 W10X22118 HP8X36

119 S10X25.4123 W8X35127 W12X19130 W10X26144 W8X40146 S10X35147 W12X22156 W10X30170 W10X33171 W8X48184 W14X22199 W12X26204 W10X39209 HP10X42210 S12X31.8217 W8X58228 S12X35228 W12X30238 W14X26245 W10X45248 S12X40.8270 W10X49272 W8X67272 W12X35285 W14X30291 HP10X57294 W16X26301 W10X54303 S12X50303 W12X40307 W14X34340 W10X60341 W12X45348 W16X31375 W14X38385 W12X50391 HP12X53393 W10X68394 W12X53425 W14X43428 S15X42.9446 W16X36448 W10X77455 HP12X63472 W12X58475 W14X48484 S15X50485 W18X35510 W16X40518 W12X65533 W10X88534 W14X53541 HP12X74569 W16X45

586 W12X72597 W18X40612 W10X100623 W14X61640 HP12X84650 W16X50659 W12X79662 W18X46712 W10X112716 W14X68722 HP14X73729 W12X87740 W16X57758 W14X74795 W18X50800 S18X54.7801 W12X96833 W21X44843 W14X82881 W18X55890 HP14X89904 S18X70923 W12X106933 W16X67954 W21X48959 W21X50984 W18X60984 W14X90999 HP14X102

1050 W18X651070 W12X1201070 W16X771110 W14X991110 W21X551140 W21X571170 W18X711170 S20X661190 HP14X1171220 W14X1091240 W12X1361240 S20X751280 W16X891300 W21X621330 W18X761330 W24X551350 W14X1201380 W12X1521430 W21X681480 W16X1001490 W18X861530 W14X1321530 W24X621550 S20X861570 W21X73

1600 W12X1701650 S20X961670 W14X1451710 W18X971750 W24X681830 W21X831830 W12X1901890 W14X1591900 W18X1061910 W21X932070 W24X762100 S24X802100 W14X1762140 W12X2102140 W18X1192190 S24X902250 W24X842370 S24X1002380 W14X1932400 W21X1012420 W12X2302420 W18X1302460 W14X2112660 W21X1112670 W24X942700 W12X2522720 W18X1432750 W27X842850 S24X1062940 W21X1222960 W24X1033000 W14X2333010 W18X1583060 W24X1043100 W12X2793110 S24X1213160 W21X1323220 W27X943270 W14X2573400 W18X1753450 W24X1173540 W12X3053550 W30X903610 W27X1023620 W21X1473630 W14X2833840 W18x1923870 W30X993990 W24X1314020 W12X3364060 W27X1144080 W21X1664280 W18x2114330 W14X311

4330 W30X1084470 W24X1464580 W21X1824730 W27X1294760 W18x2344900 W14X3424900 W30X1164930 W24X1625170 W21X2015310 W30X1245360 W14X3705440 W18x2585510 W27X1465660 W24X1765680 W30X1325770 W33X1185900 W14X3986000 W18x2836170 W24X1926260 W27X1616310 W14X4266600 W30X1486680 W33X1306710 W24X2076820 W18x3116970 W27X1787020 W14X4557190 W33X1417450 W24X2297650 W36X1357800 W27X1947860 W33X1528160 W14X5008210 W30X1738230 W24X2508490 W27X2178910 W36X1509040 W30X1919200 W33X1699290 W14X5509430 W24X2799600 W27X2359700 W36X1609760 W40X1499800 W30X211

10300 W36X17010500 W24X30610700 W27X25810800 W14X60510800 W36X18211300 W40X16711600 W33X20111600 W30X23511700 W27X281

11900 W24X33511900 W36X19412100 W14X66512400 W33X22112900 W30X26113100 W27X30713100 W40X18313200 W36X21013200 W24X37013400 W33X24114200 W14X73014300 W27X33614600 W40X19914900 W30X29214900 W36X23215000 W40X21115500 W36X23115600 W33X26315900 W27X36816200 W40X21516700 W36X24716700 W36X25616800 W30X32616800 W40X23517400 W33X29117700 W36X26217900 W30X35718700 W40X26419400 W33X31819500 W40X24919600 W36X28219600 W40X27820500 W30X39120700 W44X23020800 W36X30221100 W40X27721900 W40X29421900 W33X35422000 W40X29723200 W36X33023300 W44X26224100 W33X38724300 W40X32724500 W40X33124700 W40X32425600 W27X53925600 W36X36125700 W44X29027000 W36X39528500 W40X36228900 W40X37229600 W40X39229900 W44X33531100 W40X397

32000 W36X44132100 W40X43134800 W36X48736000 W36X52939600 W40X50341600 W40X59350400 W36X65250600 W36X80064700 N/A