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HomeMy WebLinkAbout12575130_MRIND051994_DE125_210922_IN0360_Mount Structural Assessment_5G.pdf520 South Main Street . Suite 2531 . Akron, Ohio 44311 . 330-572-2100 . Fax 330-572-2101 . www.GPDGroup.com GPD Group, Inc. Ericsson Inc. Traci Preble 55 Monument Circle 520 South Main Street, Suite 2531 Indianapolis, IN 46204 Akron, OH 44311 (317) 295-3164 tpreble@gpdgroup.com GPD# 2021723.16.169167.01 September 22, 2021 MOUNT REPLACEMENT ANALYSIS REPORT AT&T DESIGNATION: USID #: 169167 Site FA #: 12575130 Client #: IN0360 Site Name: IN0360 ANALYSIS CRITERIA: Codes: TIA-222-H 106 mph (3-second gust) w/ 0" ice 40 mph (3-second gust) w/ 1.5" ice SITE DATA: 10636 Lakeshore Drive, Carmel, IN 46033, Hamilton County Latitude 39° 56' 33.02" N, Longitude 86° 06' 44.89" W Market: MICHIGAN/INDIANA (3) Site Pro 1 VFA12-M3-WLL Sector Mounts To whom it may concern, GPD is pleased to submit this Mount Replacement Analysis Report to determine the structural integrity of the aforementioned mount. The purpose of the analysis is to determine the suitability of the mount with the proposed loading configuration detailed in the analysis report. Analysis Results Mount Stress Level with Proposed Equipment: 70.8% Pass We at GPD appreciate the opportunity of providing our continuing professional services to you and Ericsson Inc. If you have any questions or need further assistance on this or any other projects please do not hesitate to call. Respectfully submitted, Christopher J. Scheks, P.E. Indiana #: PE11400062 9/22/2021 (3) Site Pro 1 VFA12-M3-WLL Sector Mounts - Structural Evaluation Site USID #: 169167 9/22/2021 Page 2 of 4 SUMMARY & RESULTS The purpose of this analysis was to verify whether the proposed mounts are capable of carrying the proposed loading configuration as specified by AT&T Mobility and commissioned by Ericsson Inc. The analysis has been performed in accordance with the TIA-222-H Standard based upon a 3-second gust wind speed of 106 mph. Applicable Standard references and design criteria are listed in Appendices A & B. The mount was verified to be capable of withstanding a 500 lb live load concurrent with 30-mph wind speeds. MOUNT SUMMARY AND RESULTS Member Capacity Results Mount 70.8% Pass Mount to Tower Connection 10.1% Pass RECOMMENDATIONS The mount has sufficient capacity to carry the proposed loading configuration. No modifications are required at this time. ANALYSIS METHOD RISA-3D (Version 17.0.4), a commercially available analysis software package, and hand calculations were used to create a three-dimensional model of the mount and calculate member stresses for the proposed loading configuration. Selected calculations from this analysis are included in Appendices B & C. The following table details the information provided to complete this structural analysis. This analysis is solely based on this information. DOCUMENTS PROVIDED Document Remarks Source RF Data Sheet AT&T RFDS #: INU0360, dated 8/25/2021 Ericsson Inc. Mount Design Site Pro 1 Drawing #: VFA12-M3-WLL, dated 10/29/2018 Site Pro 1 Mount Mapping Not Provided N/A Previous Mount Analysis Not Provided N/A Mount Modification Drawings Not Provided N/A Tower Design Not Provided N/A Previous Tower Analysis Not Provided N/A (3) Site Pro 1 VFA12-M3-WLL Sector Mounts - Structural Evaluation Site USID #: 169167 9/22/2021 Page 3 of 4 ASSUMPTIONS This mount structural analysis is based on the theoretical capacity of the members and is not a condition assessment of the mount. This analysis is from information supplied, and therefore, its results are based on and are as accurate as that supplied data. GPD has made no independent determination, nor is it required to, of its accuracy. The following assumptions were made for this structural analysis. 1. The mount member sizes and shapes are considered accurate as supplied. The material grade is as per data supplied and/or as assumed based on experience with similar mounts. 2. The antenna configuration is as supplied and/or as modeled in the analysis. When information was not provided, the configuration was modeled based upon past experience with similar loading. 3. Some assumptions are made regarding antennas and mount sizes and their projected areas based on best interpretation of data supplied and of best knowledge of antenna type and industry practice. 4. The mount has been properly maintained in accordance with TIA Standards and/or with manufacturer’s specifications. 5. All welds and connections are assumed to develop at least the member capacity unless determined otherwise and explicitly stated in this report. 6. This report analyzes a proposed mount; therefore, the following assumptions concerning the mount must be correct in order for the results to be valid. A. This analysis is valid for equipment installed with a maximum vertical offset of 0’ from the mount centerline. B. The tiebacks were modeled based on the referenced mount design. See the RISA diagrams in Appendix B for clarification on tieback location. If any of these assumptions are not valid or have been made in error, this analysis may be affected, and GPD should be allowed to review any new information to determine its effect on the structural integrity of the mount. (3) Site Pro 1 VFA12-M3-WLL Sector Mounts - Structural Evaluation Site USID #: 169167 9/22/2021 Page 4 of 4 DISCLAIMER OF WARRANTIES GPD has not performed a site visit to the mount to verify the member sizes and antenna/coax loading. If the existing conditions are not as represented on the mount elevation contained in this report, we should be contacted immediately to evaluate the significance of the discrepancy. This is not a condition assessment of the mount. This report does not replace a full mount inspection. The mount is assumed to have been properly fabricated, maintained, in good condition, twist free, and plumb. The engineering services rendered by GPD in connection with this Mount Analysis are limited to a computer analysis of the mount structure and theoretical capacity of its main structural members. All mount components have been assumed to only resist dead loads when no other loads are applied. No allowance was made for any damaged, bent, missing, loose, or rusted members (above and below ground). No allowance was made for loose bolts or cracked welds. This analysis is limited to the designated maximum wind and seismic conditions per the governing mount standards and code. Wind forces resulting in tower vibrations near the structure’s resonant frequencies were not considered in this analysis and are outside the scope of this analysis. Lateral loading from any dynamic response was not evaluated under a time- domain based fatigue analysis. GPD does not analyze the fabrication of the structure (including welding). It is not possible to have all the very detailed information needed to perform a thorough analysis of every structural sub-component and connection of an existing mount. GPD provides a limited scope of service in that we cannot verify the adequacy of every weld, plate connection detail, etc. The purpose of this report is to assess the feasibility of adding appurtenances usually accompanied by transmission lines to the structure. It is the owner’s responsibility to determine the amount of ice accumulation in excess of the specified code recommended amount, if any, that should be considered in the structural analysis. The attached sketches are a schematic representation of the analyzed mount. If any material is fabricated from these sketches, the contractor shall be responsible for field verifying the existing conditions, proper fit, and clearance in the field. Any mentions of structural modifications are reasonable estimates and should not be used as a precise construction document. Precise modification drawings are obtainable from GPD, but are beyond the scope of this report. Towers are designed to carry gravity, wind, and ice loads. All members, legs, diagonals, struts, and redundant members provide structural stability to the tower with little redundancy. Absence or removal of a member can trigger catastrophic failure unless a substitute is provided before any removal. Legs carry axial loads and derive their strength from shorter unbraced lengths by the presence of redundant members and their connection to the diagonals with bolts or welds. If the bolts or welds are removed without providing any substitute to the frame, the leg is subjected to a higher unbraced length that immediately reduces its load carrying capacity. If a diagonal is also removed in addition to the connection, the unbraced length of the leg is greatly increased, jeopardizing its load carrying capacity. Failure of one leg can result in a tower collapse because there is no redundancy. Redundant members and diagonals are critical to the stability of the tower. GPD makes no warranties, expressed and/or implied, in connection with this report and disclaims any liability arising from material, fabrication, and erection of this mount. GPD will not be responsible whatsoever for, or on account of, consequential or incidental damages sustained by any person, firm, or organization as a result of any data or conclusions contained in this report. The maximum liability of GPD pursuant to this report will be limited to the total fee received for preparation of this report. (3) Site Pro 1 VFA12-M3-WLL Sector Mounts - Structural Evaluation Site USID #: 169167 9/22/2021 APPENDIX A Mount Analysis Summary Form Mount Analysis Summary Form General Info Site Name Site Number FA Number Date of Analysis Company Performing Analysis Structure Info Date Design Parameters Analysis Results (% Maximum Usage) Structure Type (G, SST, MP) Final Loading Condition Structure Height (top of steel AGL) Mount (%) 70.8% Mount Manufacturer Location of Structure (County, State) Mount to Tower Connection (%) 10.1% Mount Model Nominal Wind Speed (mph) Mount Design Ice Thickness (in) Mount Mapping Structure Classification (I, II, III) Previous Mount Analysis Exposure Category (B, C, D) Tower Mapping Topographic Category (1 to 5) Final Loading Configuration Antenna Owner Mount Height (ft) Antenna CL (ft) Quantity Type Manufacturer Model Azimuth Quantity Manufacturer AT&T Mobility 135.0 135.0 6 Panel COMMSCOPE NNH4-65C-R6-V3 60/180/300 1 Site Pro 1 AT&T Mobility 135.0 135.0 3 Panel ERICSSON AIR 6449 N77D + AIR 6419 N77G 60/180/300 on the same mounts AT&T Mobility 135.0 135.0 3 RRU ERICSSON RRUS 4449 B5/B12 on the same mounts AT&T Mobility 135.0 135.0 3 RRU ERICSSON RRUS-32 B2 on the same mounts AT&T Mobility 135.0 135.0 3 RRU ERICSSON RRUS 4478 B14 on the same mounts AT&T Mobility 135.0 135.0 3 RRU ERICSSON RRUS-32 B66A on the same mounts AT&T Mobility 135.0 135.0 3 RRU ERICSSON RRUS-32 B30 on the same mounts AT&T Mobility 135.0 135.0 1 OVP RAYCAP DC9-48-60-24-8C-EV on the same mounts AT&T Mobility 135.0 135.0 1 OVP RAYCAP DC6-48-60-18-8F on the same mounts AT&T Mobility 135.0 135.0 1 OVP RAYCAP DC6-48-60-0-8F on the same mounts JB Towers Inc The information contained in this summary report is not to be used independently from the PE stamped mount analysis. 169167 12575130 9/17/2021 Monopole Design Code Used TIA-222-H 149.0 GPD Group Description Site Pro 1 Hamilton, IN VFA12-M3-WLL 106 (3-second gust) NA 1.50 NA II NA C Type VFA12-M3-WLL NA 1 Antenna Mount (3) Site Pro 1 VFA12-M3-WLL Sector Mounts - Structural Evaluation Site USID #: 169167 9/22/2021 APPENDIX B Wind Calculations and RISA-3D Output File ☛ ☎ ✡✠ ☞ ✆✟✝✞✝✆ ✄✂✁✁ ✝ ☛ ✡ ✍✝ ✞✌ ✏✎ ✒✒✒ ✓ ✑ ✑ ✗✖✕✔ ✚✜✛✘✙✛✘✛✙✚✙✘ ✤✣✢ ✦ ✕✪✩ ✯ ✫✮✭✬✥ ✥★✧ ✱✰ ✥ ✤✣✢ ✦ ✳ ✵✴✙✚✴✙ ★✲ ✭✥ ✥ ✣✶ ✤✢✸✣ ✤ ✷ ✱✲✭ ✭✲✥ ✘ ✚✴✙ ✹ ✣✢ ✣✼✣✻ ✖✸ ✣ ✥ ✽✲ ✺★ ✰✥★✺ ✾✤ ✣ ✳✔✤✿ ✶ ❁✼ ❄✤✼❃❂ ✷ ✥✱ ✥ ❀✫✥ ✫✫ ❆ ❇ ❅ ❉✙ ✘ ❈ ✹ ✯✯ ✘ ✛✜✘ ✹ ✻❊ ✖✤ ✣ ✧ ✽✲ ✰✥★✺ ✢✤ ✳✤ ❊❂ ✪ ✣✸✻✣ ❊ ❄✤✼❃ ❋ ● ✥ ✧✱ ★✭✫ ✲ ✷✰ ✱✧✥ ❅ ✘ ✘ ✹ ❍ ❁ ✿✤✸✣■✘ ✼ ✫ ✪ ✣✸✻✣ ❄✤✼❃ ■ ✲ ✷✰ ❏ ❅ ✘ ✘ ✹ ✴✘✙ ✘ ✘✜✙ ✹ ❑✘ ✤ ✥✺✧✭✧ ✾ ✣ ❄✤✼❃✤✿ ✿ ✷ ✥ ▲ ❅ ✘ ✘ ✹ ✘❉ ✘ ✙▼✙ ✹ ✾ ✣ ✕✤✿ ✿✕ ✕ ✿✕✼◆ ❑ ❄✤✼❃✤ ✾ ✫ ✫✺ ✥ ✷ ✥ ✥ ✥✺✧✭✧ ❏ ❅ ✚❉✙ ✘ ✹ ✴❖ ✛ ✘✘✘ ✹ ✣■✘ ✢✸ ✰ ✥✺ P✸ ◗ ✪ ❄✤✼❃✸ ✾ ✥ ✺ ✭✬✫✥ ✰✲✫ ❘ ❅ ✘ ✘ ✹ ✙ ✘❖ ✹ ✘ ✘✚✘ ✹ ✣■❖✜✵ ✢✸ ✰ ✥✺ P✸ P ✪ ✾✸ ✣ ❄✤✼❃✤✿ ✾ ✷ ✥ ✺ ✭✥✺✺ ✰✲✫ ✥ ❙ ❅ ✚❉✙ ✘ ✹ ✚❉✙ ✘ ✹ ✙ ✘✘✘ ✹ ✶ ✤✼ ✘ ✫✫ ✺✫ ✣■ ✢✸ ✸ P ❊ ✤ ❚ ✰ ✥✥✺ ❈ ✺ ✱✧ ✭✫ ❏ ❅ ✙ ✘✘ ✹ ❖▼✙ ✘ ✹ ✘ ✴▼✘ ✹ ✙ ✘✘ ✹ ✘ ❖✚ ✹ ✘ ✘✚✘ ✹ ✙ ✘✘ ✹ ✘ ✘✚ ✹ ✘ ✵✚ ✹ ✣◗ ✭✧✥✰ ❯ ✣❑✤ ❯ ◗✤ ✣✤ ✫✰ ✰✲✫ ✥✺ ✰✲✫ ✧✱✫ ❱ ✣✤ ✼✼◆✻ ✤ ◗ ✿✤ ✥✭ ✥✮ ✧✱ ✷✰✥ ❄✤✼❃ ✣❁ ✤ ✥★✧ ✭✥ ✣❃ ❄ ✣❃ ❄ ✰ ✰ ■ ✣ ✤✿ ❱ ✻ ✤✣ ❑ ✷ ✥ ✱✫ ✭✲✮✮✭✥✥ ❲ ✥ ✳✻❃ ❄ ✮ ❱ ✻ ✤✣ ❑ ✥ ✱✫ ✭✲✮✮✭✥✥ ❲ ❍ ✣✼✼ ✣ ✤ ❃ ❄✼ ✥✰ ✫✥ ✱ ✮✺ ✕ ❊ ❁✤ ✫✺ ✥ ✰✭✫ ❊ ❊✤ ✫✱✭✥ ✰✭✫ ❍ ✣✼✼ ✣ ✤ ✥✰ ✫✥ ✱ ✣ ✪ ❊ ✷✰ ✥✮✧ ✮ ✭✫ ✣■ ❊✸ ✫✱✭✥ ✰ ❃ ❄✼✻ ✺ ❁✤ ✣ ✷✰ ✥✮ ✰ ✣■ ❊✸ ✫✱✭✥ ✰ ❃ ❄✼✻ ✺ ✸✣✢ ❁ ✣ ✣■ ✷✰ ✥✮ ✥ ✰ ✸✣✢ ❊ ✫✱✭✥ ✥ ❍ ✣✼✼ ✣ ✤ ✥✰ ✫✥ ✱ Y Z X PIPE_2.5(Nominal) PIPE_2.5(Nominal) PIPE_2.5(Nominal) PIPE_2.5(Nominal) PIPE_2.5(Nominal) PIPE_2.5(Nominal) PIPE_2.5(Nominal) PIPE_2.5(Nominal) PIPE_2.5(Nominal) PIPE_2.5(Nominal) PL5/PL5/8"x3.8"x3.5" 5" PL5/8"x3.5" PL5/8"x3.5" PL5/PL5/8"x3.8"x3.5" 5" PL5/8"x3.5" PL5/8"x3.5" PL5/8"x3.5" PL5/ 8"x3.5" PL5/8"x3.5" PL5/8"x3.5" PL5/8"x3.5" PL5/8"x3.5" PL5/8"x3.5" PL5/8"x3.5" PL5/8"x3.5" PL5/8"x3.5" PL5/8"x2" PL5/8"x2" PL5/8"x2" PL5/8"x2" PL5/8"x2" PL5/8"x2" PL5/8"x3.5" PL5/8"x3.5" PL5/8"x2" PL5/8"x2" PL5/8"x3.5" PL5/8"x3.5" PL5/8"x3.5" PL5/8"x2" PL5/8"x2" PL5/8"x 3.5" PL5/8"x3.5" PL5/8"x2" PL5/8"x2" PL5/8"x3.5" PL5/8"x3.5" PL5/8"x2" PL5/8"x3.5" PL5/8"x3.5" PL5/8"x3.5" PL5/8"x3.5" PL5/8"x3.5" PL5/8"x3.5" PL5/8"x2" PL5/8"x2" PL5/PL5/8"8"x3.x3.5" 5" PL5/8"x3.5" .22 .22 .24 .14 .24 .19 .24 .19 .22 .43 .27 .24 .25 .19 .24 .21 .22 .24 .17 .23 .19 .27 .16 .14 .12 .20 .24 .23 .19 .24 .23 .24 .12 .23 .19 .22 .18 .27 .19 .09 .22 .20 .18 .69 .44 .23 .00 .26 .30 .05 .12 .00 .11 .13 .13 .33 .21 .22 .23 .23 .42 .11 .07 .04 .08 .09 .07 .09 .03 .09 .07 .04 .04 .03 .09 .13 .16 .12 .04 .08 .09 .02 .14 .16 .02 .08 .07 .10 .02 .09 .14 .03 .12 .14 .09 .10 .14 .07 .04 .07 .03 .16 .14 .21 .27 .02 .02 .04 .14 .00 .13 .19 .09 .10 .00 .17 .12 .02 .13 .04 .08 .14 .04 .02 .02 .01 -9.72lb/ft 1.442lb/ft 2.498lb/ft -9.72lb/ft 1.442lb/ft 2.498lb/ft -9.72lb/ft 1.442lb/ft 2.498lb/ft -9.72lb/ft 1.442lb/ft 2.498lb/ft -9.72lb/ft 1.442lb/ft 2.498lb/ft -9.72lb/ft 1.442lb/ft 2.498lb/ft -10.06lb/ft -10.06lb/ft -10.06lb/ft 1.28lb/ft 2.22lb/ft 1.28lb/ft 2.22lb/ft -10.06lb/ft -10.06lb/ft -10.06lb/ft 1.28lb/ft 2.22lb/ft 1.28lb/ft 2.22lb/ft -10.06lb/ft -10.06lb/ft 1.3lb/ft 2.26lb/ft 1.3lb/ft 2.26lb/ft -10.06lb/ft -10.06lb/ft -10.06lb/ft 1.28lb/ft 2.22lb/ft .98lb/ft 1.69lb/ft 1.28lb/ft 2.22lb/ft -10.18lb/ft -10.-ft10.18lb/18lb/ft -10.18lb/ft -10.18lb/ft -10.-ft10.18lb/18lb/ft -10.18lb/ft -10.18lb/ft -10.18lb/ft -10.18lb/ft -10.18lb/ft -10.18lb/ft -10.18lb/ft -10.18lb/ft -10.18lb/ft -10.18lb/ft -10.18lb/ft -8.165lb/ft -8.165lb/ft -8.165lb/ft -8.165lb/ft -8.165lb/ft -8.165lb/ft -10.18lb/ft -10.18lb/ft -8.165lb/ft -8.165lb/ft -10.18lb/ft -10.18lb/ft Company : GPD Sept 22, 2021 Designer : 1:26 PM Job Number : 2021723.16.169167.01 Checked By:_____ Model Name : 169167 - IN0360 Hot Rolled Steel Properties Label E [ksi] G [ksi] Nu Therm (\1E...Density[k/ft... Yield[ksi] Ry Fu[ksi] Rt 1 A36 Gr.36 29000 11154 .3 .65 .49 36 1.5 58 1.2 2 A572 Gr.50 29000 11154 .3 .65 .49 50 1.1 65 1.1 3 A992 29000 11154 .3 .65 .49 50 1.1 65 1.1 4 A500 Gr.B RND 29000 11154 .3 .65 .527 42 1.4 58 1.3 5 A500 Gr.B Rect 29000 11154 .3 .65 .527 46 1.4 58 1.3 6 A53 Gr.B 29000 11154 .3 .65 .49 35 1.6 60 1.2 7 A1085 29000 11154 .3 .65 .49 50 1.4 65 1.3 Hot Rolled Steel Section Sets Label Shape Type Design ... Material Design ... A [in2] Iyy [in4] Izz [in4] J [in4] 1 Face Horizontal PIPE_2.5(Nominal) None None A53 Gr.B Typical 1.704 1.53 1.53 3.059 2 Standoff Horizontal PIPE_2.0(Nominal) None None A53 Gr.B Typical 1.075 .666 .666 1.331 3 Standoff Vertical SR5/8 None None A36 Gr.36 Typical .307 .007 .007 .015 4 Standoff Diagonal SR3/4 None None A36 Gr.36 Typical .442 .016 .016 .031 5 Connecntion Plate(1) PL5/8"x3.5" None None A36 Gr.36 Typical 2.188 .071 2.233 .253 6 Connecntion Plate(2) PL5/8"x2" None None A36 Gr.36 Typical 1.25 .041 .417 .131 7 Mount Pipe PIPE_2.5(Nominal) Column None A53 Gr.B Typical 1.704 1.53 1.53 3.059 8 Stabilizer PIPE_2.0(Nominal) None None A53 Gr.B Typical 1.075 .666 .666 1.331 Basic Load Cases BLC Description Category X Gravity Y Gravity Z Gravity Joint Point Distributed Area(Me... Surface(P... 1 Dead Load None -1 101 2 Wind Load (0 deg) None 51 80 3 Wind Load (30 deg) None 108 158 4 Wind Load (60 deg) None 108 160 5 Wind Load (90 deg) None 60 125 6 Wind Load (120 deg) None 108 160 7 Wind Load (150 deg) None 108 158 8 Wind Load (180 deg) None 51 128 9 Wind Load (210 deg) None 108 158 10 Wind Load (240 deg) None 108 160 11 Wind Load (270 deg) None 60 125 12 Wind Load (300 deg) None 108 160 13 Wind Load (330 deg) None 108 158 14 Ice Load None 101 171 15 Wind w/ Ice (0 deg) None 39 80 16 Wind w/ Ice (30 deg) None 108 158 17 Wind w/ Ice (60 deg) None 108 160 18 Wind w/ Ice (90 deg) None 60 125 19 Wind w/ Ice (120 deg) None 108 160 20 Wind w/ Ice (150 deg) None 108 158 21 Wind w/ Ice (180 deg) None 39 128 22 Wind w/ Ice (210 deg) None 108 158 23 Wind w/ Ice (240 deg) None 108 160 24 Wind w/ Ice (270 deg) None 60 125 25 Wind w/ Ice (300 deg) None 108 160 26 Wind w/ Ice (330 deg) None 108 158 27 Vert. Seismic Load None -.036 101 28 Horz. Seismic Load (0... None -.09 51 29 Horz. Seismic Load (3... None -.078 -.045 108 30 Horz. Seismic Load (6... None -.045 -.078 108 31 Horz. Seismic Load (9... None -.09 72 32 Horz. Seismic Load (1... None .045 -.078 108 RISA-3D Version 17.0.2 [T:\...\...\...\5_Structural\01_Mount\00_Rev 0\03_Modeling\169167.r3d] Page 1 Company : GPD Sept 22, 2021 Designer : 1:26 PM Job Number : 2021723.16.169167.01 Checked By:_____ Model Name : 169167 - IN0360 Basic Load Cases (Continued) BLC Description Category X Gravity Y Gravity Z Gravity Joint Point Distributed Area(Me... Surface(P... 33 Horz. Seismic Load (1... None .078 -.045 108 34 Horz. Seismic Load (1... None .09 51 35 Horz. Seismic Load (2... None .078 .045 108 36 Horz. Seismic Load (2... None .045 .078 108 37 Horz. Seismic Load (2... None .09 72 38 Horz. Seismic Load (3... None -.045 .078 108 39 Horz. Seismic Load (3... None -.078 .045 108 40 Const. Wind Load (0 ... None 51 80 41 Const. Wind Load (30... None 108 158 42 Const. Wind Load (60... None 108 160 43 Const. Wind Load (90... None 60 125 44 Const. Wind Load (12... None 108 160 45 Const. Wind Load (15... None 108 158 46 Const. Wind Load (18... None 51 128 47 Const. Wind Load (21... None 108 158 48 Const. Wind Load (24... None 108 160 49 Const. Wind Load (27... None 60 125 50 Const. Wind Load (30... None 108 160 51 Const. Wind Load (33... None 108 158 52 Const. Live Load (MP1) None 1 53 Const. Live Load (MP2) None 1 54 Const. Live Load (MP3) None 1 55 Const. Live Load (MP4) None 1 56 Const. Live Load (MP5) None 1 57 Const. Live Load (MP6) None 1 58 Const. Live Load (MP7) None 1 59 Const. Live Load (MP8) None 1 60 Const. Live Load (MP9) None 1 61 Const. Live Load (MP... None 1 62 Const. Live Load (MP... None 1 63 Const. Live Load (MP... None 1 64 Const. Live Load (MP... None 1 65 Const. Live Load (MP... None 1 66 Const. Live Load (MP... None 1 67 Man Live Load (FM-H... None 1 68 Man Live Load (FM-H... None 1 69 Man Live Load (FM-H... None 1 70 Man Live Load (FM-H... None 1 71 Man Live Load (FM-H... None 1 72 Man Live Load (FM-H... None 1 73 Man Live Load (FM-H... None 1 74 Man Live Load (FM-H... None 1 75 Man Live Load (FM-H... None 1 76 Man Live Load (FM-H... None 1 77 Man Live Load (FM-H... None 1 78 Man Live Load (FM-H... None 1 79 Man Live Load (FM-H... None 1 80 Man Live Load (FM-H... None 1 81 Man Live Load (FM-H... None 1 82 Man Live Load (FM-H... None 1 83 Man Live Load (FM-H... None 1 84 Man Live Load (FM-H... None 1 85 Man Live Load (SA-H... None 1 86 Man Live Load (SA-H... None 1 Company : GPD Sept 22, 2021 Designer : 1:26 PM Job Number : 2021723.16.169167.01 Checked By:_____ Model Name : 169167 - IN0360 Basic Load Cases (Continued) BLC Description Category X Gravity Y Gravity Z Gravity Joint Point Distributed Area(Me... Surface(P... 90 Man Live Load (SA-H... None 1 91 Man Live Load (SA-H... None 1 92 Man Live Load (SA-H... None 1 93 Man Live Load (SA-H... None 1 94 Man Live Load (SA-H... None 1 95 Man Live Load (SA-H... None 1 96 Man Live Load (SA-H... None 1 97 Man Live Load (SA-H... None 1 98 Man Live Load (SA-H... None 1 99 Man Live Load (SA-H... None 1 100 Man Live Load (SA-H... None 1 101 Man Live Load (SA-H... None 1 102 Man Live Load (SA-H... None 1 103 Man Live Load (SA-H... None 1 104 Man Live Load (SA-H... None 1 105 Man Live Load (SA-H... None 1 106 Man Live Load (SA-H... None 1 107 Man Live Load (SA-H... None 1 108 Man Live Load (SA-H... None 1 109 Man Live Load (SA-H... None 1 110 Man Live Load (SA-H... None 1 111 Man Live Load (SA-H... None 1 112 Man Live Load (SA-H... None 1 113 Man Live Load (SA-H... None 1 114 Man Live Load (SA-H... None 1 115 Man Live Load (SA-H... None 1 116 Man Live Load (SA-H... None 1 117 Man Live Load (SA-H... None 1 118 Man Live Load (SA-H... None 1 119 Man Live Load (SA-H... None 1 120 Man Live Load (SA-H... None 1 Load Combinations Description S... PDelta S... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... 1 1.4D Yes Y 1 1.4 2 1.2D + 1.0W (0 deg) Yes Y 1 1.2 2 1 3 1.2D + 1.0W (30 deg) Yes Y 1 1.2 3 1 4 1.2D + 1.0W (60 deg) Yes Y 1 1.2 4 1 5 1.2D + 1.0W (90 deg) Yes Y 1 1.2 5 1 6 1.2D + 1.0W (120 deg) Yes Y 1 1.2 6 1 7 1.2D + 1.0W (150 deg) Yes Y 1 1.2 7 1 8 1.2D + 1.0W (180 deg) Yes Y 1 1.2 8 1 9 1.2D + 1.0W (210 deg) Yes Y 1 1.2 9 1 10 1.2D + 1.0W (240 deg) Yes Y 1 1.2 10 1 11 1.2D + 1.0W (270 deg) Yes Y 1 1.2 11 1 12 1.2D + 1.0W (300 deg) Yes Y 1 1.2 12 1 13 1.2D + 1.0W (330 deg) Yes Y 1 1.2 13 1 14 1.2D + 1.0Di + 1.0Wi (...Yes Y 1 1.2 14 1 15 1 15 1.2D + 1.0Di + 1.0Wi (...Yes Y 1 1.2 14 1 16 1 16 1.2D + 1.0Di + 1.0Wi (...Yes Y 1 1.2 14 1 17 1 17 1.2D + 1.0Di + 1.0Wi (...Yes Y 1 1.2 14 1 18 1 18 1.2D + 1.0Di + 1.0Wi (...Yes Y 1 1.2 14 1 19 1 19 1.2D + 1.0Di + 1.0Wi (...Yes Y 1 1.2 14 1 20 1 20 1.2D + 1.0Di + 1.0Wi (...Yes Y 1 1.2 14 1 21 1 21 1.2D + 1.0Di + 1.0Wi (...Yes Y 1 1.2 14 1 22 1 Company : GPD Sept 22, 2021 Designer : 1:26 PM Job Number : 2021723.16.169167.01 Checked By:_____ Model Name : 169167 - IN0360 Load Combinations (Continued) Description S... PDelta S... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... 22 1.2D + 1.0Di + 1.0Wi (...Yes Y 1 1.2 14 1 23 1 23 1.2D + 1.0Di + 1.0Wi (...Yes Y 1 1.2 14 1 24 1 24 1.2D + 1.0Di + 1.0Wi (...Yes Y 1 1.2 14 1 25 1 25 1.2D + 1.0Di + 1.0Wi (...Yes Y 1 1.2 14 1 26 1 26 1.2D + 1.0Ev + 1.0Eh ...Yes Y 1 1.2 27 1 28 1 27 1.2D + 1.0Ev + 1.0Eh ...Yes Y 1 1.2 27 1 29 1 28 1.2D + 1.0Ev + 1.0Eh ...Yes Y 1 1.2 27 1 30 1 29 1.2D + 1.0Ev + 1.0Eh ...Yes Y 1 1.2 27 1 31 1 30 1.2D + 1.0Ev + 1.0Eh ...Yes Y 1 1.2 27 1 32 1 31 1.2D + 1.0Ev + 1.0Eh ...Yes Y 1 1.2 27 1 33 1 32 1.2D + 1.0Ev + 1.0Eh ...Yes Y 1 1.2 27 1 34 1 33 1.2D + 1.0Ev + 1.0Eh ...Yes Y 1 1.2 27 1 35 1 34 1.2D + 1.0Ev + 1.0Eh ...Yes Y 1 1.2 27 1 36 1 35 1.2D + 1.0Ev + 1.0Eh ...Yes Y 1 1.2 27 1 37 1 36 1.2D + 1.0Ev + 1.0Eh ...Yes Y 1 1.2 27 1 38 1 37 1.2D + 1.0Ev + 1.0Eh ...Yes Y 1 1.2 27 1 39 1 38 1.2D + 1.5Lm (MP1) +...Yes Y 1 1.2 52 1.5 40 1 39 1.2D + 1.5Lm (MP1) +...Yes Y 1 1.2 52 1.5 41 1 40 1.2D + 1.5Lm (MP1) +...Yes Y 1 1.2 52 1.5 42 1 41 1.2D + 1.5Lm (MP1) +...Yes Y 1 1.2 52 1.5 43 1 42 1.2D + 1.5Lm (MP1) +...Yes Y 1 1.2 52 1.5 44 1 43 1.2D + 1.5Lm (MP1) +...Yes Y 1 1.2 52 1.5 45 1 44 1.2D + 1.5Lm (MP1) +...Yes Y 1 1.2 52 1.5 46 1 45 1.2D + 1.5Lm (MP1) +...Yes Y 1 1.2 52 1.5 47 1 46 1.2D + 1.5Lm (MP1) +...Yes Y 1 1.2 52 1.5 48 1 47 1.2D + 1.5Lm (MP1) +...Yes Y 1 1.2 52 1.5 49 1 48 1.2D + 1.5Lm (MP1) +...Yes Y 1 1.2 52 1.5 50 1 49 1.2D + 1.5Lm (MP1) +...Yes Y 1 1.2 52 1.5 51 1 50 1.2D + 1.5Lm (MP2) +...Yes Y 1 1.2 53 1.5 40 1 51 1.2D + 1.5Lm (MP2) +...Yes Y 1 1.2 53 1.5 41 1 52 1.2D + 1.5Lm (MP2) +...Yes Y 1 1.2 53 1.5 42 1 53 1.2D + 1.5Lm (MP2) +...Yes Y 1 1.2 53 1.5 43 1 54 1.2D + 1.5Lm (MP2) +...Yes Y 1 1.2 53 1.5 44 1 55 1.2D + 1.5Lm (MP2) +...Yes Y 1 1.2 53 1.5 45 1 56 1.2D + 1.5Lm (MP2) +...Yes Y 1 1.2 53 1.5 46 1 57 1.2D + 1.5Lm (MP2) +...Yes Y 1 1.2 53 1.5 47 1 58 1.2D + 1.5Lm (MP2) +...Yes Y 1 1.2 53 1.5 48 1 59 1.2D + 1.5Lm (MP2) +...Yes Y 1 1.2 53 1.5 49 1 60 1.2D + 1.5Lm (MP2) +...Yes Y 1 1.2 53 1.5 50 1 61 1.2D + 1.5Lm (MP2) +...Yes Y 1 1.2 53 1.5 51 1 62 1.2D + 1.5Lm (MP3) +...Yes Y 1 1.2 54 1.5 40 1 63 1.2D + 1.5Lm (MP3) +...Yes Y 1 1.2 54 1.5 41 1 64 1.2D + 1.5Lm (MP3) +...Yes Y 1 1.2 54 1.5 42 1 65 1.2D + 1.5Lm (MP3) +...Yes Y 1 1.2 54 1.5 43 1 66 1.2D + 1.5Lm (MP3) +...Yes Y 1 1.2 54 1.5 44 1 67 1.2D + 1.5Lm (MP3) +...Yes Y 1 1.2 54 1.5 45 1 68 1.2D + 1.5Lm (MP3) +...Yes Y 1 1.2 54 1.5 46 1 69 1.2D + 1.5Lm (MP3) +...Yes Y 1 1.2 54 1.5 47 1 70 1.2D + 1.5Lm (MP3) +...Yes Y 1 1.2 54 1.5 48 1 71 1.2D + 1.5Lm (MP3) +...Yes Y 1 1.2 54 1.5 49 1 72 1.2D + 1.5Lm (MP3) +...Yes Y 1 1.2 54 1.5 50 1 73 1.2D + 1.5Lm (MP3) +...Yes Y 1 1.2 54 1.5 51 1 74 1.2D + 1.5Lm (MP4) +...Yes Y 1 1.2 55 1.5 40 1 75 1.2D + 1.5Lm (MP4) +...Yes Y 1 1.2 55 1.5 41 1 Company : GPD Sept 22, 2021 Designer : 1:26 PM Job Number : 2021723.16.169167.01 Checked By:_____ Model Name : 169167 - IN0360 Load Combinations (Continued) Description S... PDelta S... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... 79 1.2D + 1.5Lm (MP4) +...Yes Y 1 1.2 55 1.5 45 1 80 1.2D + 1.5Lm (MP4) +...Yes Y 1 1.2 55 1.5 46 1 81 1.2D + 1.5Lm (MP4) +...Yes Y 1 1.2 55 1.5 47 1 82 1.2D + 1.5Lm (MP4) +...Yes Y 1 1.2 55 1.5 48 1 83 1.2D + 1.5Lm (MP4) +...Yes Y 1 1.2 55 1.5 49 1 84 1.2D + 1.5Lm (MP4) +...Yes Y 1 1.2 55 1.5 50 1 85 1.2D + 1.5Lm (MP4) +...Yes Y 1 1.2 55 1.5 51 1 86 1.2D + 1.5Lm (MP5) +...Yes Y 1 1.2 56 1.5 40 1 87 1.2D + 1.5Lm (MP5) +...Yes Y 1 1.2 56 1.5 41 1 88 1.2D + 1.5Lm (MP5) +...Yes Y 1 1.2 56 1.5 42 1 89 1.2D + 1.5Lm (MP5) +...Yes Y 1 1.2 56 1.5 43 1 90 1.2D + 1.5Lm (MP5) +...Yes Y 1 1.2 56 1.5 44 1 91 1.2D + 1.5Lm (MP5) +...Yes Y 1 1.2 56 1.5 45 1 92 1.2D + 1.5Lm (MP5) +...Yes Y 1 1.2 56 1.5 46 1 93 1.2D + 1.5Lm (MP5) +...Yes Y 1 1.2 56 1.5 47 1 94 1.2D + 1.5Lm (MP5) +...Yes Y 1 1.2 56 1.5 48 1 95 1.2D + 1.5Lm (MP5) +...Yes Y 1 1.2 56 1.5 49 1 96 1.2D + 1.5Lm (MP5) +...Yes Y 1 1.2 56 1.5 50 1 97 1.2D + 1.5Lm (MP5) +...Yes Y 1 1.2 56 1.5 51 1 98 1.2D + 1.5Lm (MP6) +...Yes Y 1 1.2 57 1.5 40 1 99 1.2D + 1.5Lm (MP6) +...Yes Y 1 1.2 57 1.5 41 1 100 1.2D + 1.5Lm (MP6) +...Yes Y 1 1.2 57 1.5 42 1 101 1.2D + 1.5Lm (MP6) +...Yes Y 1 1.2 57 1.5 43 1 102 1.2D + 1.5Lm (MP6) +...Yes Y 1 1.2 57 1.5 44 1 103 1.2D + 1.5Lm (MP6) +...Yes Y 1 1.2 57 1.5 45 1 104 1.2D + 1.5Lm (MP6) +...Yes Y 1 1.2 57 1.5 46 1 105 1.2D + 1.5Lm (MP6) +...Yes Y 1 1.2 57 1.5 47 1 106 1.2D + 1.5Lm (MP6) +...Yes Y 1 1.2 57 1.5 48 1 107 1.2D + 1.5Lm (MP6) +...Yes Y 1 1.2 57 1.5 49 1 108 1.2D + 1.5Lm (MP6) +...Yes Y 1 1.2 57 1.5 50 1 109 1.2D + 1.5Lm (MP6) +...Yes Y 1 1.2 57 1.5 51 1 110 1.2D + 1.5Lm (MP7) +...Yes Y 1 1.2 58 1.5 40 1 111 1.2D + 1.5Lm (MP7) +...Yes Y 1 1.2 58 1.5 41 1 112 1.2D + 1.5Lm (MP7) +...Yes Y 1 1.2 58 1.5 42 1 113 1.2D + 1.5Lm (MP7) +...Yes Y 1 1.2 58 1.5 43 1 114 1.2D + 1.5Lm (MP7) +...Yes Y 1 1.2 58 1.5 44 1 115 1.2D + 1.5Lm (MP7) +...Yes Y 1 1.2 58 1.5 45 1 116 1.2D + 1.5Lm (MP7) +...Yes Y 1 1.2 58 1.5 46 1 117 1.2D + 1.5Lm (MP7) +...Yes Y 1 1.2 58 1.5 47 1 118 1.2D + 1.5Lm (MP7) +...Yes Y 1 1.2 58 1.5 48 1 119 1.2D + 1.5Lm (MP7) +...Yes Y 1 1.2 58 1.5 49 1 120 1.2D + 1.5Lm (MP7) +...Yes Y 1 1.2 58 1.5 50 1 121 1.2D + 1.5Lm (MP7) +...Yes Y 1 1.2 58 1.5 51 1 122 1.2D + 1.5Lm (MP8) +...Yes Y 1 1.2 59 1.5 40 1 123 1.2D + 1.5Lm (MP8) +...Yes Y 1 1.2 59 1.5 41 1 124 1.2D + 1.5Lm (MP8) +...Yes Y 1 1.2 59 1.5 42 1 125 1.2D + 1.5Lm (MP8) +...Yes Y 1 1.2 59 1.5 43 1 126 1.2D + 1.5Lm (MP8) +...Yes Y 1 1.2 59 1.5 44 1 127 1.2D + 1.5Lm (MP8) +...Yes Y 1 1.2 59 1.5 45 1 128 1.2D + 1.5Lm (MP8) +...Yes Y 1 1.2 59 1.5 46 1 129 1.2D + 1.5Lm (MP8) +...Yes Y 1 1.2 59 1.5 47 1 130 1.2D + 1.5Lm (MP8) +...Yes Y 1 1.2 59 1.5 48 1 131 1.2D + 1.5Lm (MP8) +...Yes Y 1 1.2 59 1.5 49 1 132 1.2D + 1.5Lm (MP8) +...Yes Y 1 1.2 59 1.5 50 1 Company : GPD Sept 22, 2021 Designer : 1:26 PM Job Number : 2021723.16.169167.01 Checked By:_____ Model Name : 169167 - IN0360 Load Combinations (Continued) Description S... PDelta S... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... 136 1.2D + 1.5Lm (MP9) +...Yes Y 1 1.2 60 1.5 42 1 137 1.2D + 1.5Lm (MP9) +...Yes Y 1 1.2 60 1.5 43 1 138 1.2D + 1.5Lm (MP9) +...Yes Y 1 1.2 60 1.5 44 1 139 1.2D + 1.5Lm (MP9) +...Yes Y 1 1.2 60 1.5 45 1 140 1.2D + 1.5Lm (MP9) +...Yes Y 1 1.2 60 1.5 46 1 141 1.2D + 1.5Lm (MP9) +...Yes Y 1 1.2 60 1.5 47 1 142 1.2D + 1.5Lm (MP9) +...Yes Y 1 1.2 60 1.5 48 1 143 1.2D + 1.5Lm (MP9) +...Yes Y 1 1.2 60 1.5 49 1 144 1.2D + 1.5Lm (MP9) +...Yes Y 1 1.2 60 1.5 50 1 145 1.2D + 1.5Lm (MP9) +...Yes Y 1 1.2 60 1.5 51 1 146 1.2D + 1.5Lm (MP10) ...Yes Y 1 1.2 61 1.5 40 1 147 1.2D + 1.5Lm (MP10) ...Yes Y 1 1.2 61 1.5 41 1 148 1.2D + 1.5Lm (MP10) ...Yes Y 1 1.2 61 1.5 42 1 149 1.2D + 1.5Lm (MP10) ...Yes Y 1 1.2 61 1.5 43 1 150 1.2D + 1.5Lm (MP10) ...Yes Y 1 1.2 61 1.5 44 1 151 1.2D + 1.5Lm (MP10) ...Yes Y 1 1.2 61 1.5 45 1 152 1.2D + 1.5Lm (MP10) ...Yes Y 1 1.2 61 1.5 46 1 153 1.2D + 1.5Lm (MP10) ...Yes Y 1 1.2 61 1.5 47 1 154 1.2D + 1.5Lm (MP10) ...Yes Y 1 1.2 61 1.5 48 1 155 1.2D + 1.5Lm (MP10) ...Yes Y 1 1.2 61 1.5 49 1 156 1.2D + 1.5Lm (MP10) ...Yes Y 1 1.2 61 1.5 50 1 157 1.2D + 1.5Lm (MP10) ...Yes Y 1 1.2 61 1.5 51 1 158 1.2D + 1.5Lm (MP11) ...Yes Y 1 1.2 62 1.5 40 1 159 1.2D + 1.5Lm (MP11) ...Yes Y 1 1.2 62 1.5 41 1 160 1.2D + 1.5Lm (MP11) ...Yes Y 1 1.2 62 1.5 42 1 161 1.2D + 1.5Lm (MP11) ...Yes Y 1 1.2 62 1.5 43 1 162 1.2D + 1.5Lm (MP11) ...Yes Y 1 1.2 62 1.5 44 1 163 1.2D + 1.5Lm (MP11) ...Yes Y 1 1.2 62 1.5 45 1 164 1.2D + 1.5Lm (MP11) ...Yes Y 1 1.2 62 1.5 46 1 165 1.2D + 1.5Lm (MP11) ...Yes Y 1 1.2 62 1.5 47 1 166 1.2D + 1.5Lm (MP11) ...Yes Y 1 1.2 62 1.5 48 1 167 1.2D + 1.5Lm (MP11) ...Yes Y 1 1.2 62 1.5 49 1 168 1.2D + 1.5Lm (MP11) ...Yes Y 1 1.2 62 1.5 50 1 169 1.2D + 1.5Lm (MP11) ...Yes Y 1 1.2 62 1.5 51 1 170 1.2D + 1.5Lm (MP12) ...Yes Y 1 1.2 63 1.5 40 1 171 1.2D + 1.5Lm (MP12) ...Yes Y 1 1.2 63 1.5 41 1 172 1.2D + 1.5Lm (MP12) ...Yes Y 1 1.2 63 1.5 42 1 173 1.2D + 1.5Lm (MP12) ...Yes Y 1 1.2 63 1.5 43 1 174 1.2D + 1.5Lm (MP12) ...Yes Y 1 1.2 63 1.5 44 1 175 1.2D + 1.5Lm (MP12) ...Yes Y 1 1.2 63 1.5 45 1 176 1.2D + 1.5Lm (MP12) ...Yes Y 1 1.2 63 1.5 46 1 177 1.2D + 1.5Lm (MP12) ...Yes Y 1 1.2 63 1.5 47 1 178 1.2D + 1.5Lm (MP12) ...Yes Y 1 1.2 63 1.5 48 1 179 1.2D + 1.5Lm (MP12) ...Yes Y 1 1.2 63 1.5 49 1 180 1.2D + 1.5Lm (MP12) ...Yes Y 1 1.2 63 1.5 50 1 181 1.2D + 1.5Lm (MP12) ...Yes Y 1 1.2 63 1.5 51 1 182 1.2D + 1.5Lm (MP13) ...Yes Y 1 1.2 64 1.5 40 1 183 1.2D + 1.5Lm (MP13) ...Yes Y 1 1.2 64 1.5 41 1 184 1.2D + 1.5Lm (MP13) ...Yes Y 1 1.2 64 1.5 42 1 185 1.2D + 1.5Lm (MP13) ...Yes Y 1 1.2 64 1.5 43 1 186 1.2D + 1.5Lm (MP13) ...Yes Y 1 1.2 64 1.5 44 1 187 1.2D + 1.5Lm (MP13) ...Yes Y 1 1.2 64 1.5 45 1 188 1.2D + 1.5Lm (MP13) ...Yes Y 1 1.2 64 1.5 46 1 189 1.2D + 1.5Lm (MP13) ...Yes Y 1 1.2 64 1.5 47 1 Company : GPD Sept 22, 2021 Designer : 1:26 PM Job Number : 2021723.16.169167.01 Checked By:_____ Model Name : 169167 - IN0360 Load Combinations (Continued) Description S... PDelta S... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... 193 1.2D + 1.5Lm (MP13) ...Yes Y 1 1.2 64 1.5 51 1 194 1.2D + 1.5Lm (MP14) ...Yes Y 1 1.2 65 1.5 40 1 195 1.2D + 1.5Lm (MP14) ...Yes Y 1 1.2 65 1.5 41 1 196 1.2D + 1.5Lm (MP14) ...Yes Y 1 1.2 65 1.5 42 1 197 1.2D + 1.5Lm (MP14) ...Yes Y 1 1.2 65 1.5 43 1 198 1.2D + 1.5Lm (MP14) ...Yes Y 1 1.2 65 1.5 44 1 199 1.2D + 1.5Lm (MP14) ...Yes Y 1 1.2 65 1.5 45 1 200 1.2D + 1.5Lm (MP14) ...Yes Y 1 1.2 65 1.5 46 1 201 1.2D + 1.5Lm (MP14) ...Yes Y 1 1.2 65 1.5 47 1 202 1.2D + 1.5Lm (MP14) ...Yes Y 1 1.2 65 1.5 48 1 203 1.2D + 1.5Lm (MP14) ...Yes Y 1 1.2 65 1.5 49 1 204 1.2D + 1.5Lm (MP14) ...Yes Y 1 1.2 65 1.5 50 1 205 1.2D + 1.5Lm (MP14) ...Yes Y 1 1.2 65 1.5 51 1 206 1.2D + 1.5Lm (MP15) ...Yes Y 1 1.2 66 1.5 40 1 207 1.2D + 1.5Lm (MP15) ...Yes Y 1 1.2 66 1.5 41 1 208 1.2D + 1.5Lm (MP15) ...Yes Y 1 1.2 66 1.5 42 1 209 1.2D + 1.5Lm (MP15) ...Yes Y 1 1.2 66 1.5 43 1 210 1.2D + 1.5Lm (MP15) ...Yes Y 1 1.2 66 1.5 44 1 211 1.2D + 1.5Lm (MP15) ...Yes Y 1 1.2 66 1.5 45 1 212 1.2D + 1.5Lm (MP15) ...Yes Y 1 1.2 66 1.5 46 1 213 1.2D + 1.5Lm (MP15) ...Yes Y 1 1.2 66 1.5 47 1 214 1.2D + 1.5Lm (MP15) ...Yes Y 1 1.2 66 1.5 48 1 215 1.2D + 1.5Lm (MP15) ...Yes Y 1 1.2 66 1.5 49 1 216 1.2D + 1.5Lm (MP15) ...Yes Y 1 1.2 66 1.5 50 1 217 1.2D + 1.5Lm (MP15) ...Yes Y 1 1.2 66 1.5 51 1 218 1.2D + 1.5Lv (FM-H1 ...Yes Y 1 1.2 67 1.5 219 1.2D + 1.5Lv (FM-H1 ...Yes Y 1 1.2 68 1.5 220 1.2D + 1.5Lv (FM-H1 ...Yes Y 1 1.2 69 1.5 221 1.2D + 1.5Lv (FM-H2 ...Yes Y 1 1.2 70 1.5 222 1.2D + 1.5Lv (FM-H2 ...Yes Y 1 1.2 71 1.5 223 1.2D + 1.5Lv (FM-H2 ...Yes Y 1 1.2 72 1.5 224 1.2D + 1.5Lv (FM-H3 ...Yes Y 1 1.2 73 1.5 225 1.2D + 1.5Lv (FM-H3 ...Yes Y 1 1.2 74 1.5 226 1.2D + 1.5Lv (FM-H3 ...Yes Y 1 1.2 75 1.5 227 1.2D + 1.5Lv (FM-H4 ...Yes Y 1 1.2 76 1.5 228 1.2D + 1.5Lv (FM-H4 ...Yes Y 1 1.2 77 1.5 229 1.2D + 1.5Lv (FM-H4 ...Yes Y 1 1.2 78 1.5 230 1.2D + 1.5Lv (FM-H5 ...Yes Y 1 1.2 79 1.5 231 1.2D + 1.5Lv (FM-H5 ...Yes Y 1 1.2 80 1.5 232 1.2D + 1.5Lv (FM-H5 ...Yes Y 1 1.2 81 1.5 233 1.2D + 1.5Lv (FM-H6 ...Yes Y 1 1.2 82 1.5 234 1.2D + 1.5Lv (FM-H6 ...Yes Y 1 1.2 83 1.5 235 1.2D + 1.5Lv (FM-H6 ...Yes Y 1 1.2 84 1.5 236 1.2D + 1.5Lv (SA-H1 ...Yes Y 1 1.2 85 1.5 237 1.2D + 1.5Lv (SA-H1 ...Yes Y 1 1.2 86 1.5 238 1.2D + 1.5Lv (SA-H1 ...Yes Y 1 1.2 87 1.5 239 1.2D + 1.5Lv (SA-H2 ...Yes Y 1 1.2 88 1.5 240 1.2D + 1.5Lv (SA-H2 ...Yes Y 1 1.2 89 1.5 241 1.2D + 1.5Lv (SA-H2 ...Yes Y 1 1.2 90 1.5 242 1.2D + 1.5Lv (SA-H3 ...Yes Y 1 1.2 91 1.5 243 1.2D + 1.5Lv (SA-H3 ...Yes Y 1 1.2 92 1.5 244 1.2D + 1.5Lv (SA-H3 ...Yes Y 1 1.2 93 1.5 245 1.2D + 1.5Lv (SA-H4 ...Yes Y 1 1.2 94 1.5 246 1.2D + 1.5Lv (SA-H4 ...Yes Y 1 1.2 95 1.5 Company : GPD Sept 22, 2021 Designer : 1:26 PM Job Number : 2021723.16.169167.01 Checked By:_____ Model Name : 169167 - IN0360 Load Combinations (Continued) Description S... PDelta S... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... 250 1.2D + 1.5Lv (SA-H5 ...Yes Y 1 1.2 99 1.5 251 1.2D + 1.5Lv (SA-H6 ...Yes Y 1 1.2 100 1.5 252 1.2D + 1.5Lv (SA-H6 ...Yes Y 1 1.2 101 1.5 253 1.2D + 1.5Lv (SA-H6 ...Yes Y 1 1.2 102 1.5 254 1.2D + 1.5Lv (SA-H7 ...Yes Y 1 1.2 103 1.5 255 1.2D + 1.5Lv (SA-H7 ...Yes Y 1 1.2 104 1.5 256 1.2D + 1.5Lv (SA-H7 ...Yes Y 1 1.2 105 1.5 257 1.2D + 1.5Lv (SA-H8 ...Yes Y 1 1.2 106 1.5 258 1.2D + 1.5Lv (SA-H8 ...Yes Y 1 1.2 107 1.5 259 1.2D + 1.5Lv (SA-H8 ...Yes Y 1 1.2 108 1.5 260 1.2D + 1.5Lv (SA-H9 ...Yes Y 1 1.2 109 1.5 261 1.2D + 1.5Lv (SA-H9 ...Yes Y 1 1.2 110 1.5 262 1.2D + 1.5Lv (SA-H9 ...Yes Y 1 1.2 111 1.5 263 1.2D + 1.5Lv (SA-H10...Yes Y 1 1.2 112 1.5 264 1.2D + 1.5Lv (SA-H10...Yes Y 1 1.2 113 1.5 265 1.2D + 1.5Lv (SA-H10...Yes Y 1 1.2 114 1.5 266 1.2D + 1.5Lv (SA-H11...Yes Y 1 1.2 115 1.5 267 1.2D + 1.5Lv (SA-H11...Yes Y 1 1.2 116 1.5 268 1.2D + 1.5Lv (SA-H11...Yes Y 1 1.2 117 1.5 269 1.2D + 1.5Lv (SA-H12...Yes Y 1 1.2 118 1.5 270 1.2D + 1.5Lv (SA-H12...Yes Y 1 1.2 119 1.5 271 1.2D + 1.5Lv (SA-H12...Yes Y 1 1.2 120 1.5 Envelope Joint Reactions Joint X [lb] LC Y [lb] LC Z [lb] LC MX [k-ft] LC MY [k-ft] LC MZ [k-ft] LC 1 N14 max -320.157 13 2036.282 14 2003.943 6 .421 45 0 271 1.419 14 2 min -2597.221 19 730.153 8 -1399.977 12 -.212 87 0 1 .468 8 3 N9 max 2846.904 14 2072.036 20 882.331 89 .422 46 0 271 1.416 20 4 min -155.545 8 744.964 2 -1500.573 47 -.219 88 0 1 .48 2 5 N70 max 278.408 2 2069.116 14 125.128 5 1.102 14 0 271 -.152 13 6 min -2385.366 20 746.688 8 -1905.41 23 .288 7 0 1 -.987 19 7 N90 max 2631.507 2 2037.185 21 1813.035 18 1.086 23 0 271 -.193 157 8 min -1133.412 8 733.733 2 -354.498 13 .338 6 0 1 -.972 19 9 N122 max 785.546 2 2068.269 25 2930.919 17 -.354 8 0 271 .017 2 Company : GPD Sept 22, 2021 Designer : 1:26 PM Job Number : 2021723.16.169167.01 Checked By:_____ Model Name : 169167 - IN0360 Envelope AISC 15th(360-16): LRFD Steel Code Checks (Continued) Member Shape Code ...Loc[... LC Shear... Loc[in] Dir LC phi*Pnc...phi*Pnt...phi*Mn ...phi*Mn ...Cb Eqn 13 SA-H5 PIPE_2.0(... .336 7.576 9 .196 2.424 9 31422.5133847.... 1.997 1.997 2...H1-1b 14 FM-H1 PIPE_2.5(... .327 39.3... 3 .126 39.394 10 15357.... 53677.... 3.812 3.812 1...H1-1b 15 FM-H5 PIPE_2.5(... .325 39.3... 7 .132 39.394 8 15357.... 53677.... 3.812 3.812 1...H1-1b 16 SA-H1 PIPE_2.0(... .321 7.576 13 .206 2.424 2 31422.5133847.... 1.997 1.997 2...H1-1b 17 SA-H7 PIPE_2.0(... .305 2.424 9 .193 2.424 9 31422.5133847.... 1.997 1.997 2...H1-1b 18 SA-H2 PIPE_2.0(... .296 2.424 13 .213 2.424 2 31422.5133847.... 1.997 1.997 2...H1-1b 19 PL11 PL5/8"x3.5" .275 2.284 24 .031 2.284 z 21 70622.... 70875 .923 5.168 1...H1-1b 20 PL63 PL5/8"x3.5" .275 2.284 212 .023 2.284 z 212 70622.... 70875 .923 5.168 1...H1-1b 21 MP12 PIPE_2.5(... .275 40 20 .097 60.606 7 48997.... 53677.... 3.812 3.812 1...H1-1b 22 PL59 PL5/8"x3.5" .274 2.284 212 .023 2.284 z 212 70622.... 70875 .923 5.168 1...H1-1b 23 PL72 PL5/8"x3.5" .273 2.284 14 .030 2.284 z 14 70622.... 70875 .923 5.168 1...H1-1b 24 PL9 PL5/8"x3.5" .273 2.284 24 .031 2.284 z 23 70622.... 70875 .923 5.168 1...H1-1b 25 PL82 PL5/8"x3.5" .272 2.284 14 .031 2.284 z 15 70622.... 70875 .923 5.168 1...H1-1b 26 PL35 PL5/8"x3.5" .271 2.284 156 .023 2.284 z 157 70622.... 70875 .923 5.168 1...H1-1b 27 PL31 PL5/8"x3.5" .271 2.284 157 .023 2.284 z 157 70622.... 70875 .923 5.168 1...H1-1b 28 PL54 PL5/8"x3.5" .269 2.284 20 .030 2.284 z 20 70622.... 70875 .923 5.168 1...H1-1b 29 PL44 PL5/8"x3.5" .269 2.284 19 .030 2.284 z 18 70622.... 70875 .923 5.168 1...H1-1b 30 PL16 PL5/8"x3.5" .268 2.284 87 .022 2.284 z 88 70622.... 70875 .923 5.168 1...H1-1b 31 PL52 PL5/8"x3.5" .267 0 3 .275 0 y 21 Company : GPD Sept 22, 2021 Designer : 1:26 PM Job Number : 2021723.16.169167.01 Checked By:_____ Model Name : 169167 - IN0360 Envelope AISC 15th(360-16): LRFD Steel Code Checks (Continued) Member Shape Code ...Loc[... LC Shear... Loc[in] Dir LC phi*Pnc...phi*Pnt...phi*Mn ...phi*Mn ...Cb Eqn 70 MP4 PIPE_2.5(... .189 80 94 .076 60.606 12 48997.... 53677.... 3.812 3.812 1...H1-1b 71 SA-D1 SR3/4 .188 50 25 .023 50 23 3322.00714313.... .179 .179 3...H1-1b 72 SA-D11 SR3/4 .187 50 17 .023 0 14 3322.00714313.... .179 .179 3...H1-1b 73 MP9 PIPE_2.5(... .185 80 151 .073 40 8 48997.... 53677.... 3.812 3.812 2...H1-1b 74 SA-D7 SR3/4 .184 50 22 .022 0 18 3322.00714313.... .179 .179 3...H1-1b 75 SA-H9 PIPE_2.0(... .184 7.576 4 .158 2.424 6 31422.5133847.... 1.997 1.997 2...H1-1b 76 PL24 PL5/8"x2" .183 0 7 .145 0 y 24 40180.... 40500 .527 1.688 1...H1-1b 77 PL40 PL5/8"x2" .183 0 3 .144 0 y 20 40180.... 40500 .527 1.688 1...H1-1b 78 MP14 PIPE_2.5(... .180 80 206 .070 40 4 48997.... 53677.... 3.812 3.812 2...H1-1b 79 PL83 PL5/8"x3.5" .172 2.284 212 .019 2.284 z 212 70622.... 70875 .923 5.168 1...H1-1b 80 PL57 PL5/8"x3.5" .171 2.284 211 .023 0 y 9 70622.... 70875 .923 5.168 1...H1-1b 81 PL55 PL5/8"x3.5" .169 2.284 157 .019 2.284 z 157 70622.... 70875 .923 5.168 1...H1-1b 82 PL29 PL5/8"x3.5" .168 2.284 156 .026 0 y 2 70622.... 70875 .923 5.168 1...H1-1b 83 PL53 PL5/8"x3.5" .167 0 4 .172 0 y 146 70781.... 70875 .923 5.168 1...H1-1b 84 PL12 PL5/8"x3.5" .167 2.284 88 .018 2.284 z 88 70622.... 70875 .923 5.168 1...H1-1b 85 PL10 PL5/8"x3.5" .167 2.284 87 .019 0 y 6 70622.... 70875 .923 5.168 1...H1-1b 86 PL75 PL5/8"x2" .162 0 212 .079 0 y 212 40016.... 40500 .527 1.688 1...H1-1b 87 PL60 PL5/8"x2" .160 0 212 .080 0 y 212 40016.... 40500 .527 1.688 1...H1-1b 88 PL47 PL5/8"x2" .160 0 157 .078 0 y 157 40016.... 40500 .527 1.688 1...H1-1b 89 PL32 PL5/8"x2" .158 0 157 .079 0 y 157 40016.... 40500 .527 1.688 1...H1-1b 90 PL81 PL5/8"x3.5" .158 0 12 .171 0 y 212 70781.... 70875 .923 5.168 1...H1-1b 91 PL22 PL5/8"x2" .157 0 88 .077 0 y 87 40016.... 40500 .527 1.688 1...H1-1b 92 PL23 PL5/8"x2" .156 3.4 2 .089 0 y 90 40181.... 40500 .527 1.688 1...H1-1b 93 PL21 PL5/8"x2" .155 0 88 .078 0 y 88 40016.... 40500 .527 1.688 Company : GPD Sept 22, 2021 Designer : 1:26 PM Job Number : 2021723.16.169167.01 Checked By:_____ Model Name : 169167 - IN0360 Envelope AISC 15th(360-16): LRFD Steel Code Checks (Continued) Member Shape Code ...Loc[... LC Shear... Loc[in] Dir LC phi*Pnc...phi*Pnt...phi*Mn ...phi*Mn ...Cb Eqn 127 SA-V7 SR5/8 .072 40 255 .007 0 6 2503.081 9940.19 .104 .104 2...H1-1b* 128 SA-V1 SR5/8 .072 40 240 .007 0 45 2503.081 9940.19 .104 .104 2...H1-1b* 129 SA-V11 SR5/8 .072 40 267 .006 40 8 2503.081 9940.19 .104 .104 2...H1-1b* 130 STAB1 PIPE_2.0(... .060 64.5... 13 .029 0 88 24002.... 33847.... 1.997 1.997 1...H1-1b* 131 STAB3 PIPE_2.0(... .057 64.4... 4 .032 64.495 212 24004.... 33847.... 1.997 1.997 1...H1-1b* 132 STAB5 PIPE_2.0(... .056 64.5... 12 .036 64.502 102 24002.... 33847.... 1.997 1.997 1...H1-1b* 133 PL61 PL5/8"x2" .054 0 212 .087 0 y 212 40181.... 40500 .527 1.688 2...H1-1b 134 PL33 PL5/8"x2" .054 0 156 .087 0 y 146 40181.... 40500 .527 1.688 2...H1-1b 135 PL28 PL5/8"x2" .053 0 87 .086 0 y 88 40181.... 40500 .527 1.688 2...H1-1b 136 PL67 PL5/8"x3.5" .000 0 25 .000 0 z 25 70241.... 70875 .923 5.168 1...H1-1b 137 PL6 PL5/8"x3.5" .000 0 25 .000 0 z 25 70241.... 70875 .923 5.168 1...H1-1b 138 PL2 PL5/8"x3.5" .000 0 25 .000 0 z 25 70241.... 70875 .923 5.168 1...H1-1b 139 PL69 PL5/8"x3.5" .000 0 25 .000 0 z 25 70241.... 70875 .923 5.168 1...H1-1b 140 PL41 PL5/8"x3.5" .000 0 25 .000 0 z 25 70241.... 70875 .923 5.168 1...H1-1b 141 PL5 PL5/8"x3.5" .000 3.625 25 .000 3.625 z 25 70241.... 70875 .923 5.168 1...H1-1b 142 PL39 PL5/8"x3.5" .000 0 25 .000 0 z 25 70241.... 70875 .923 5.168 1...H1-1b 143 PL58 PL5/8"x3.5" .000 3.625 25 .000 3.625 z 25 70241.... 70875 .923 5.168 1...H1-1b 144 PL1 PL5/8"x3.5" .000 3.625 25 .000 3.625 z 25 70241.... 70875 .923 5.168 1...H1-1b 145 PL43 PL5/8"x3.5" .000 3.625 25 .000 3.625 z 25 70241.... 70875 .923 5.168 1...H1-1b 146 PL30 PL5/8"x3.5" .000 3.625 25 .000 3.625 z 25 70241.... 70875 .923 5.168 1 H1-1b 147 PL71 PL5/8"x3.5" .000 3.625 25 .000 3.625 z 25 70241.... 70875 .923 5.168 1 H1-1b RISA-3D Version 17.0.2 [T:\...\...\...\5_Structural\01_Mount\00_Rev 0\03_Modeling\169167.r3d] Page 11 (3) Site Pro 1 VFA12-M3-WLL Sector Mounts - Structural Evaluation Site USID #: 169167 9/22/2021 APPENDIX C Additional Calculations TIA-222-H CONNECTION CHECK Mount to Tower Connection - Typ. All Sectors Bolt Diameter (d) 0.625 in Height (h) 10 in Net Tensile Area (An) 0.226 in 2 Width (w) 10 in # of Bolts Total (n) 4 Thickness (t) 0.625 in Bolt Distance Up-Down 6 in Steel Grade A36 Bolt Distance Left-Right 6 in Plate Yield Strength (Fy) 36 ksi Bolt Grade A325N Support Arm Height 4 in Bolt Tensile Strength (Fub ) 120 ksi Support Arm Width 4 in Moment (M) 1.39 k-ft Moment (M) 0.00 k-ft Axial (T) 2.63 kips Axial (T) 1.11 kips Shear (V) 2.27 kips Shear (V) 2.51 kips Nominal Tensile Strength (Rnt ) 27.120 kips Nominal Tensile Strength (Rnt ) 27.120 kips Nominal Shear Strength (Rnv ) 18.41 kips Nominal Shear Strength (Rnv ) 18.41 kips Bolt Tensile Force (Tub ) 2.05 kips Bolt Tensile Force (Tub ) 0.28 kips Bolt Shear Force (Vub ) 0.569 kips Bolt Shear Force (Vub ) 0.627 kips Tub /φRnt 0.10080 Tub /φRnt 0.01362 Vub /φRnv 0.04118 Vub /φRnv 0.04543 (Vub /φRnv ) 2 +(Tub /φRnt ) 2 0.01186 (Vub /φRnv ) 2 +(Tub /φRnt ) 2 0.00225 Bolt Capacity = 10.1% OK Bolt Capacity = 4.5% OK Bolt Circle (DBC ) 8.485 in Bolt Circle (DBC ) 8.485 in Effective Width (Beff ) 7.48 in Effective Width (Beff ) 7.48 in Flexural Moment (Mu ) 4.10 k-in Flexural Moment (Mu ) 1.31 k-in Flexural Strength (ØMn ) 23.68 k-in Flexural Strength (ØMn ) 23.68 k-in Plate Capacity= 17.3% OK Plate Capacity= 5.5% OK Bolt Information Flange Information Plate Capacity (Up-Down) Plate Capacity (Left-Right) Bolt Capacity (Up-Down) Bolt Capacity (Left-Right) RISA 3D Reactions (Up-Down) RISA 3D Reactions (Left -Right) 1...H1-1b 94 MP13 PIPE_2.5(... .154 40 2 .064 60.606 2 48997.... 53677.... 3.812 3.812 2...H1-1b 95 MP3 PIPE_2.5(... .148 40 10 .058 60.606 10 48997.... 53677.... 3.812 3.812 2...H1-1b 96 MP8 PIPE_2.5(... .138 40 7 .066 40 6 48997.... 53677.... 3.812 3.812 1...H1-1b 97 PL66 PL5/8"x3.5" .135 1.393 212 .125 0 y 212 70781.... 70875 .923 5.168 1...H1-1b 98 PL68 PL5/8"x2" .134 0 12 .144 0 y 15 40180.... 40500 .527 1.688 1...H1-1b 99 PL38 PL5/8"x3.5" .133 1.393 157 .124 0 y 157 70781.... 70875 .923 5.168 1...H1-1b 100 PL74 PL5/8"x3.5" .133 1.393 216 .129 0 y 212 70781.... 70875 .923 5.168 1...H1-1b 101 PL46 PL5/8"x3.5" .132 1.393 148 .130 0 y 147 70781.... 70875 .923 5.168 1...H1-1b 102 PL17 PL5/8"x3.5" .132 1.393 2 .128 0 y 91 70781.... 70875 .923 5.168 1...H1-1b 103 PL26 PL5/8"x3.5" .130 1.393 88 .123 0 y 88 70781.... 70875 .923 5.168 1...H1-1b 104 SA-V9 SR5/8 .129 40 212 .016 0 2 2503.081 9940.19 .104 .104 2...H1-1b 105 PL48 PL5/8"x2" .128 3.4 4 .091 0 y 146 40181.... 40500 .527 1.688 1...H1-1b 106 SA-V5 SR5/8 .125 0 157 .020 0 8 2503.081 9940.19 .104 .104 2...H1-1b 107 SA-H10 PIPE_2.0(... .125 27.5... 212 .101 27.576 212 31422.5133847.... 1.997 1.997 2...H1-1b 108 SA-H6 PIPE_2.0(... .123 27.5... 156 .100 27.576 157 31422.5133847.... 1.997 1.997 2...H1-1b 109 PL76 PL5/8"x2" .123 3.4 6 .090 0 y 213 40181.... 40500 .527 1.688 1...H1-1b 110 SA-H3 PIPE_2.0(... .122 27.5... 88 .098 27.576 88 31422.5133847.... 1.997 1.997 2...H1-1b 111 SA-V4 SR5/8 .121 40 87 .018 0 12 2503.081 9940.19 .104 .104 2...H1-1b 112 PL79 PL5/8"x3.5" .113 0 212 .166 0 y 212 70781.... 70875 .923 5.168 1...H1-1b 113 PL51 PL5/8"x3.5" .113 0 24 .165 0 y 157 70781.... 70875 .923 5.168 1...H1-1b 114 PL4 PL5/8"x3.5" .112 0 15 .163 0 y 88 70781.... 70875 .923 5.168 1...H1-1b 115 SA-D10 SR3/4 .112 0 211 .016 0 212 3322.00714313.... .179 .179 2...H1-1b 116 SA-D6 SR3/4 .110 0 155 .016 0 156 3322.00714313.... .179 .179 3 H1-1b 117 SA-D4 SR3/4 .107 0 86 .015 0 86 3322.00714313.... .179 .179 2...H1-1b 118 STAB4 PIPE_2.0(... .089 64.5... 3 .038 0 46 24002.... 33847.... 1.997 1.997 1...H1-1b* 119 PL27 PL5/8"x2" .088 3.403 25 .146 0 y 21 40180.... 40500 .527 1.688 1...H1-1b 120 STAB6 PIPE_2.0(... .088 64.5... 7 .037 0 158 24002.... 33847.... 1.997 1.997 1...H1-1b* 121 PL65 PL5/8"x2" .086 3.403 16 .146 0 y 14 40180.... 40500 .527 1.688 2...H1-1b 122 PL37 PL5/8"x2" .086 3.403 20 .143 0 y 18 40180.... 40500 .527 1.688 2...H1-1b 123 STAB2 PIPE_2.0(... .075 64.5... 8 .030 0 157 24002.... 33847.... 1.997 1.997 1...H1-1b* 124 SA-V6 SR5/8 .073 40 249 .013 40 3 2503.081 9940.19 .104 .104 2...H1-1b* 125 SA-V2 SR5/8 .073 40 237 .014 40 8 2503.081 9940.19 .104 .104 2...H1-1b* 126 SA-V10 SR5/8 .073 40 261 .009 40 13 2503.081 9940.19 .104 .104 2...H1-1b* RISA-3D Version 17.0.2 [T:\...\...\...\5_Structural\01_Mount\00_Rev 0\03_Modeling\169167.r3d] Page 10 70780.... 70875 .923 5.168 1...H1-1b 32 PL7 PL5/8"x3.5" .266 0 7 .279 0 y 14 70780.... 70875 .923 5.168 1...H1-1b 33 PL15 PL5/8"x3.5" .266 2.284 88 .022 2.284 z 88 70622.... 70875 .923 5.168 1...H1-1b 34 PL19 PL5/8"x2" .265 0 23 .128 0 y 24 40016.... 40500 .527 1.688 2...H1-1b 35 PL64 PL5/8"x2" .264 0 15 .127 0 y 15 40016.... 40500 .527 1.688 2...H1-1b 36 PL20 PL5/8"x2" .261 0 21 .128 0 y 24 40016.... 40500 .527 1.688 1...H1-1b 37 PL36 PL5/8"x2" .260 0 20 .126 0 y 20 40016.... 40500 .527 1.688 2...H1-1b 38 PL84 PL5/8"x2" .260 0 14 .128 0 y 14 40016.... 40500 .527 1.688 1...H1-1b 39 PL56 PL5/8"x2" .254 0 18 .125 0 y 19 40016.... 40500 .527 1.688 1...H1-1b 40 FM-H2 PIPE_2.5(... .253 46.97 8 .128 45.455 8 15357.... 53677.... 3.812 3.812 1...H1-1b 41 MP2 PIPE_2.5(... .250 40 17 .095 80 9 48997.... 53677.... 3.812 3.812 1...H1-1b 42 MP11 PIPE_2.5(... .250 40 21 .041 40 10 48997.... 53677.... 3.812 3.812 1...H1-1b 43 FM-H4 PIPE_2.5(... .238 3.03 109 .094 45.455 18 15357.... 53677.... 3.812 3.812 2...H1-1b 44 FM-H6 PIPE_2.5(... .237 3.03 165 .118 45.455 7 15357.... 53677.... 3.812 3.812 2...H1-1b 45 PL18 PL5/8"x3.5" .227 1.396 25 .209 0 y 15 70780.... 70875 .923 5.168 1...H1-1b 46 FM-H3 PIPE_2.5(... .227 3.03 103 .145 110.606 8 15357.... 53677.... 3.812 3.812 2...H1-1b 47 MP1 PIPE_2.5(... .226 40 43 .042 40 4 48997.... 53677.... 3.812 3.812 2...H1-1b 48 PL42 PL5/8"x3.5" .225 1.396 21 .205 0 y 20 70780.... 70875 .923 5.168 1...H1-1b 49 PL25 PL5/8"x3.5" .224 1.396 23 .211 0 y 21 70780.... 70875 .923 5.168 1...H1-1b 50 PL77 PL5/8"x3.5" .222 1.396 15 .211 0 y 14 70780.... 70875 .923 5.168 1...H1-1b 51 PL70 PL5/8"x3.5" .221 1.396 24 .208 0 y 19 70780.... 70875 .923 5.168 1...H1-1b 52 MP7 PIPE_2.5(... .219 40 25 .077 40 12 48997.... 53677.... 3.812 3.812 1...H1-1b 53 PL49 PL5/8"x3.5" .219 1.396 19 .207 0 y 18 70780.... 70875 .923 5.168 1...H1-1b 54 MP6 PIPE_2.5(... .216 40 98 .043 40 12 48997.... 53677.... 3.812 3.812 3...H1-1b 55 MP10 PIPE_2.5(... .215 40 151 .039 80 146 48997.... 53677.... 3.812 3.812 3...H1-1b 56 SA-H11 PIPE_2.0(... .210 7.576 7 .177 7.273 18 31422.5133847.... 1.997 1.997 2...H1-1b 57 MP5 PIPE_2.5(... .205 40 94 .035 40 24 48997.... 53677.... 3.812 3.812 3...H1-1b 58 PL80 PL5/8"x3.5" .203 0 23 .277 0 y 19 70780.... 70875 .923 5.168 1...H1-1b 59 SA-V3 SR5/8 .203 0 22 .017 0 10 2503.081 9940.19 .104 .104 2...H1-1b 60 PL3 PL5/8"x3.5" .201 0 25 .279 0 y 21 70780.... 70875 .923 5.168 1...H1-1b 61 SA-V12 SR5/8 .198 0 14 .018 0 2 2503.081 9940.19 .104 .104 2...H1-1b 62 PL50 PL5/8"x3.5" .197 0 20 .274 0 y 18 70780.... 70875 .923 5.168 1...H1-1b 63 PL78 PL5/8"x3.5" .196 0 16 .280 0 y 14 70780.... 70875 .923 5.168 1...H1-1b 64 SA-H4 PIPE_2.0(... .196 27.5... 24 .168 27.576 21 31422.5133847.... 1.997 1.997 2...H1-1b 65 SA-V8 SR5/8 .195 0 18 .019 0 8 2503.081 9940.19 .104 .104 2...H1-1b 66 SA-H12 PIPE_2.0(... .194 27.5... 16 .168 27.576 14 31422.5133847.... 1.997 1.997 2...H1-1b 67 PL8 PL5/8"x3.5" .193 0 2 .170 0 y 88 70781.... 70875 .923 5.168 1...H1-1b 68 SA-H8 PIPE_2.0(... .191 27.5... 20 .164 27.576 18 31422.5133847.... 1.997 1.997 2...H1-1b 69 MP15 PIPE_2.5(... .191 40 206 .034 80 214 48997.... 53677.... 3.812 3.812 3...H1-1b RISA-3D Version 17.0.2 [T:\...\...\...\5_Structural\01_Mount\00_Rev 0\03_Modeling\169167.r3d] Page 9 10 min -1527.666 212 745.263 7 162.021 11 -1.394 14 0 1 -.598 212 11 N142 max 1774.504 3 2039.36 19 91.32 2 -.423 9 0 271 -.041 158 12 min -1413.382 9 732.309 13 -2792.106 22 -1.383 16 0 1 -.591 212 13 Totals: max 6891.079 2 12299.783 14 5199.061 5 14 min -6891.086 8 4525.753 8 -5199.055 11 Envelope AISC 15th(360-16): LRFD Steel Code Checks Member Shape Code ...Loc[... LC Shear... Loc[in] Dir LC phi*Pnc...phi*Pnt...phi*Mn ...phi*Mn ...Cb Eqn 1 SA-D2 SR3/4 .708 50 22 .024 50 22 3322.00714313.... .179 .179 3...H1-1a 2 SA-D12 SR3/4 .705 50 14 .023 50 14 3322.00714313.... .179 .179 3...H1-1a 3 SA-D8 SR3/4 .689 50 18 .023 50 20 3322.00714313.... .179 .179 3...H1-1a 4 PL13 PL5/8"x3.5" .451 2.284 22 .038 2.284 z 23 70622.... 70875 .923 5.168 2...H1-1b 5 PL73 PL5/8"x3.5" .450 2.284 14 .038 2.284 z 15 70622.... 70875 .923 5.168 2...H1-1b 6 PL14 PL5/8"x3.5" .443 2.284 22 .037 2.284 z 21 70622.... 70875 .923 5.168 1...H1-1b 7 PL62 PL5/8"x3.5" .441 2.284 14 .037 2.284 z 14 70622.... 70875 .923 5.168 1...H1-1b 8 PL45 PL5/8"x3.5" .441 2.284 19 .037 2.284 z 20 70622.... 70875 .923 5.168 2...H1-1b 9 PL34 PL5/8"x3.5" .432 2.284 19 .036 2.284 z 18 70622.... 70875 .923 5.168 1...H1-1b 10 SA-D9 SR3/4 .421 50 212 .017 50 212 3322.00714313.... .179 .179 2...H1-1a 11 SA-D5 SR3/4 .415 50 157 .016 50 146 3322.00714313.... .179 .179 2...H1-1a 12 SA-D3 SR3/4 .405 50 88 .015 50 90 3322.00714313.... .179 .179 2...H1-1a RISA-3D Version 17.0.2 [T:\...\...\...\5_Structural\01_Mount\00_Rev 0\03_Modeling\169167.r3d] Page 8 247 1.2D + 1.5Lv (SA-H4 ...Yes Y 1 1.2 96 1.5 248 1.2D + 1.5Lv (SA-H5 ...Yes Y 1 1.2 97 1.5 249 1.2D + 1.5Lv (SA-H5 ...Yes Y 1 1.2 98 1.5 RISA-3D Version 17.0.2 [T:\...\...\...\5_Structural\01_Mount\00_Rev 0\03_Modeling\169167.r3d] Page 7 190 1.2D + 1.5Lm (MP13) ...Yes Y 1 1.2 64 1.5 48 1 191 1.2D + 1.5Lm (MP13) ...Yes Y 1 1.2 64 1.5 49 1 192 1.2D + 1.5Lm (MP13) ...Yes Y 1 1.2 64 1.5 50 1 RISA-3D Version 17.0.2 [T:\...\...\...\5_Structural\01_Mount\00_Rev 0\03_Modeling\169167.r3d] Page 6 133 1.2D + 1.5Lm (MP8) +...Yes Y 1 1.2 59 1.5 51 1 134 1.2D + 1.5Lm (MP9) +...Yes Y 1 1.2 60 1.5 40 1 135 1.2D + 1.5Lm (MP9) +...Yes Y 1 1.2 60 1.5 41 1 RISA-3D Version 17.0.2 [T:\...\...\...\5_Structural\01_Mount\00_Rev 0\03_Modeling\169167.r3d] Page 5 76 1.2D + 1.5Lm (MP4) +...Yes Y 1 1.2 55 1.5 42 1 77 1.2D + 1.5Lm (MP4) +...Yes Y 1 1.2 55 1.5 43 1 78 1.2D + 1.5Lm (MP4) +...Yes Y 1 1.2 55 1.5 44 1 RISA-3D Version 17.0.2 [T:\...\...\...\5_Structural\01_Mount\00_Rev 0\03_Modeling\169167.r3d] Page 4 RISA-3D Version 17.0.2 [T:\...\...\...\5_Structural\01_Mount\00_Rev 0\03_Modeling\169167.r3d] Page 3 87 Man Live Load (SA-H... None 1 88 Man Live Load (SA-H... None 1 89 Man Live Load (SA-H... None 1 RISA-3D Version 17.0.2 [T:\...\...\...\5_Structural\01_Mount\00_Rev 0\03_Modeling\169167.r3d] Page 2 -10.18lb/ft -8.165lb/ft -8.165lb/ft -10.18lb/ft -10.18lb/ft -8.165lb/ft -8.165lb/-ft10.18lb/ft -ft8.165lb/-10.18lb/ft -10.18lb/ft -10.18lb/ft -10.18lb/ft -10.18lb/ft -10.18lb/ft -10.18lb/ft -8.165lb/ft -8.165lb/ft -10.-ft10.18lb/18lb/ft -10.18lb/ft -10.18lb/-ft10.18lb/ft -10.18lb/ft -10.18lb/ft -8.165lb/ft -10.18lb/ft -10.18lb/ft -10.18lb/ft -8.165lb/ft -8.165lb/ft -10.18lb/ft -10.18lb/ft -8.165lb/ft -8.165lb/ft -10.18lb/ft -10.18lb/ft -8.165lb/ft -10.18lb/ft -10.18lb/ft -10.18lb/ft -10.18lb/ft -10.18lb/ft -10.18lb/ft -8.165lb/ft -8.165lb/ft --ft10.10.18lb/18lb/ft -10.18lb/ft -10.18lb/ft -10.18lb/ft -10.-ft10.18lb/18lb/ft -8.165lb/ft -5.226lb/ft .784lb/ft 1.358lb/ft -5.226lb/ft .784lb/ft 1.358lb/ft -5.226lb/ft .784lb/ft 1.358lb/ft -5.226lb/ft .784lb/ft 1.358lb/ft -5.226lb/ft .784lb/ft 1.358lb/ft -5.226lb/ft .784lb/ft 1.358lb/ft -5.226lb/ft .784lb/ft 1.358lb/ft -5.226lb/ft .784lb/ft 1.358lb/ft -5.226lb/ft .784lb/ft 1.358lb/ft -5.226lb/ft .784lb/ft 1.358lb/ft -5.226lb/ft .784lb/ft 1.358lb/ft -5.226lb/ft .784lb/ft 1.358lb/ft -8.654lb/ft .93lb/ft 1.611lb/ft -8.654lb/ft .93lb/ft 1.611lb/ft -8.654lb/ft .93lb/ft 1.611lb/ft -8.654lb/ft .93lb/ft 1.611lb/ft -8.654lb/ft .93lb/ft 1.611lb/ft -8.654lb/ft .93lb/ft 1.611lb/ft -8.654lb/ft .93lb/ft 1.611lb/ft -8.654lb/ft .93lb/ft 1.611lb/ft -8.654lb/ft .93lb/ft 1.611lb/ft -8.654lb/ft .93lb/ft 1.611lb/ft -8.654lb/ft .93lb/ft 1.611lb/ft -8.654lb/ft .93lb/ft 1.611lb/ft -4.962lb/ft .725lb/ft 1.256lb/ft -4.962lb/ft .725lb/ft 1.256lb/ft -4.962lb/ft .725lb/ft 1.256lb/ft -4.962lb/ft .725lb/ft 1.256lb/ft -4.962lb/ft .725lb/ft 1.256lb/ft -4.962lb/ft .725lb/ft 1.256lb/ft -4.962lb/ft .725lb/ft 1.256lb/ft -4.962lb/ft .725lb/ft 1.256lb/ft -4.962lb/ft .725lb/ft 1.256lb/ft -4.962lb/ft .725lb/ft 1.256lb/ft -4.962lb/ft .725lb/ft 1.256lb/ft -4.962lb/ft .725lb/ft 1.256lb/ft -8.654lb/ft 1.143lb/ft 1.98lb/ft -8.654lb/ft 1.143lb/ft 1.98lb/ft -8.654lb/ft 1.14lb/ft 1.975lb/ft -10.06lb/ft -10.06lb/ft 1.3lb/ft 2.26lb/ft 1.3lb/ft 2.26lb/ft -10.06lb/ft -10.06lb/ft -10.06lb/ft 1.21lb/ft 2.1lb/ft 1.21lb/ft 2.1lb/ft -10.06lb/ft -10.06lb/ft -10.06lb/ft 1.21lb/ft 2.1lb/ft 1.21lb/ft 2.1lb/ft -10.06lb/ft -10.06lb/ft 1.3lb/ft 2.26lb/ft 1.3lb/ft 2.26lb/ft -10.06lb/ft -10.06lb/ft -10.06lb/ft 1.21lb/ft 2.1lb/ft 1.21lb/ft 2.1lb/ft -10.06lb/ft -10.06lb/ft 1.3lb/ft 2.26lb/ft 1.3lb/ft 2.26lb/ft -10.06lb/ft -10.06lb/ft -10.06lb/ft 1.28lb/ft 2.22lb/ft .98lb/ft 1.69lb/ft 1.28lb/ft 2.22lb/ft -10.06lb/ft -10.06lb/ft -10.06lb/ft 1.28lb/ft 2.22lb/ft 1.28lb/ft 2.22lb/ft -10.06lb/ft -10.06lb/ft 1.3lb/ft 2.26lb/ft 1.3lb/ft 2.26lb/ft -10.06lb/ft -10.06lb/ft -10.06lb/ft 1.28lb/ft 2.22lb/ft 1.28lb/ft 2.22lb/ft -10.06lb/ft -10.06lb/ft 1.3lb/ft 2.26lb/ft 1.3lb/ft 2.26lb/ft -8.654lb/ft 1.143lb/ft 1.98lb/ft -8.654lb/ft 1.143lb/ft 1.98lb/ft -8.654lb/ft 1.143lb/ft 1.98lb/ft -241.55lb -308.93lb -241.55lb .159k-ft -.266k-ft .159k-ft -.028k-ft 13.71lb 6.18lb 23.74lb 10.72lb 13.71lb 23.74lb .016k-ft -.005k-ft .016k-ft -241.55lb -294.72lb -241.55lb .159k-ft -.255k-ft .159k-ft -.004k-ft 13.71lb 6.05lb 23.74lb 10.47lb 13.71lb 23.74lb .016k-ft -.005k-ft .016k-ft -114.01lb -.125k-ft 7.64lb -.014k-13.23lb ft -211.76lb -211.76lb .142k-ft .142k-ft 9.43lb 16.32lb 9.43lb 16.32lb .011k-ft .011k-ft -150.46lb -.126k-.ft097k-ft 7.27lb -.006k-12.59lb ft -211.76lb -211.76lb -.071k-ft -.071k-ft -.123k-ft -.123k-ft 9.43lb 16.32lb 9.43lb 16.32lb .011k-ft .011k-ft -241.55lb -308.93lb -241.55lb -.08k-ft .108k-ft -.08k-ft -.138k-ft .244k-ft -.138k-ft 13.71lb 6.18lb 23.74lb 10.72lb 13.71lb 23.74lb .016k-ft -.005k-ft .016k-ft -150.46lb .147k-ft 7.ft27lb .061k-12.59lb -.006k-ft -241.55lb -294.72lb -241.55lb -.08k-ft .124k-ft -.08k-ft -.138k-ft .222k-ft -.138k-ft 13.71lb 6.05lb 23.74lb 10.47lb 13.71lb 23.74lb .016k-ft -.005k-ft .016k-ft -114.01lb .062k-ft .108k-ft 7.64lb -.014k-13.23lb ft -211.76lb -211.76lb -.071k-ft -.071k-ft .123k-ft .123k-ft 9.43lb 16.32lb 9.43lb 16.32lb .011k-ft .011k-ft -241.55lb -308.93lb -241.55lb -.08k-ft .157k-ft -.08k-ft .138k-ft -.216k-ft .138k-ft 13.71lb 6.18lb 23.74lb 10.72lb 13.71lb 23.74lb .016k-ft -.005k-ft .016k-ft -150.46lb -.021k-ft -.157k-ft 7.27lb -.006k-12.59lb ft -241.55lb -294.72lb -241.55lb -.08k-ft .13k-ft -.08k-ft .138k-ft -.219k-ft .138k-ft 13.71lb 6.05lb 23.74lb 10.47lb 13.71lb 23.74lb .016k-ft -.005k-ft .016k-ft -114.01lb .062k-ft -.108k-ft 7.64lb -.014k-13.23lb ft Y Z X Loads: LC 22, 1.2D + 1.0Di + 1.0Wi (240 deg) .19 .14 .03 .14 .12 .02 .08 .01 .07 .20 .02 .02 .10 .08 .14 .03 .13 .13 .20 .19 .14 .10 .07 .04 .07 .19 .14 .21 .27 .20 .00 .03 .09 .20 .00 .17 .13 .10 .12 .09 .02 .06 .12 .13 .09 .17 .04 .00 .04 .13 .02 .02 .13 .00 .13 .28 .03 .01 .02 .02 .21 .16 .08 .15 .17 .13 .17 .13 .21 .15 .13 .04 .28 .03 .04 .00 .16 .07 .00 .16 .16 .12 .09 .06 .17 .10 .16 .13 .12 .09 .06 .13 .13 .13 .09 .17 .02 .02 .01 .02 .01 .00 .04 .10 .00 .17 .13 .28 .04 .02 .02 .10 .03 .13 .21 .01 .14 .18 .21 .13 .15 .21 .04 .13 .28 .12 .03 .18 .00 .13 .00 .08 .02 ..13 17 .09 .10 .06 .02 .21 .13 .08 .06 .13 .02 .18 .09 .02 .21 .13 .10 .12 .18 .13 .02 .04 .04 .03 .04 .03 .21 .13 .13 .03 .13 .08 .21 .06 .08 .12 .02 .02 .13 .13 .10 .13 .13 .04 .13 .03 .08 .13 .13 .04 .03 Y Z X Shear Check ( Env ) No Calc > 1.0 .90-1.0 .75-.90 .50-.75 0.-.50 Member Shear Checks Displayed (Enveloped) Results for LC 1, 1.4D .30 .23 .17 .23 .24 .27 .16 .07 .14 .34 .17 .27 .12 .16 .23 .19 .25 .33 .34 .30 .23 .12 .19 .06 .18 .30 .18 .22 .27 .34 .00 .06 .13 .34 .00 .17 .13 .12 .24 .05 .13 .15 .13 .25 .25 .11 .21 .00 .23 .33 .42 .11 .33 .00 .33 .20 .08 .07 .17 .28 .22 .18 .16 .09 .19 .33 .20 .25 .22 .09 .26 .44 .20 .28 .09 .00 .18 .18 .00 .11 .18 .13 .05 .15 .19 .12 .18 .33 .24 .12 .15 .13 .25 .33 .25 .16 .71 .19 .07 .20 .07 .00 .23 .27 .00 .19 .26 .20 .44 .19 .70 .12 .27 .33 .22 .07 .13 .21 .30 .33 .18 .23 .45 .27 .27 .24 .27 .21 .00 .25 .00 .19 .20 ..13 19 .16 .12 .15 .11 41 .32 .33 .16 .15 .33 .27 .21 .25 .17 .32 .25 .27 .24 .21 .26 .12 .45 .25 .27 .09 .06 .32 .33 .25 .21 .33 .19 .32 .15 .16 .24 .27 .17 .33 .25 .27 .33 .33 .25 .33 .21 .19 .33 .33 .25 .21 Y Z X Code Check ( Env ) No Calc > 1.0 .90-1.0 .75-.90 .50-.75 0.-.50 Member Code Checks Displayed (Enveloped) Results for LC 1, 1.4D PL5/8"x3.5" PL5/8"x3.5" PL5/8"x3 .5" PL5/8"x3.5" PL5/8"x2" PL5/8"x3.5" PL5/8"x3.5" PL5/8"x3.5" PL5/8"x2" PL5/8"x2" PL5/8"x3.5" PL5/8"x3.5" PL 5/8"x2" PL5/8"x2" PL5/8"x3.5" PL5/8"x3.5" PL5/8"x2" PL5/8"x3.5" PL5/8"x3.5" PL5/8"x3.5" PL5/8"x3.5" PL5/8"x3.5" PL5/8"x3.5" PL5/8"x2" PL5/8"x2" PL5/PL5/8"8"x3.x3.5" 5" PL5/8"x3.5" PL5/8"x3.5" PL5/8"x3.5" PL5/8" x3.5" PL5/8"x3.5" PL5/8"x2" SR3/4 SR3/4 SR3/4 SR3/4 SR3/4 SR3/4 SR3/4 SR3/4 SR3/4 SR3/4 SR3/4 PIPE_2.0(Nominal) PIPE_2.0(Nominal) PIPE_2.0(Nominal) PIPE_2.0(Nominal) PIPE_2.0(Nominal) PIPE_2.0(Nominal) PIPE_2.0(Nominal) PIPE_2.0(Nominal) PIPE_2.0(Nominal) PIPE_2.0(Nominal) PIPE_2.0(Nominal) PIPE_2.0(Nominal) SR5/8 SR5/8 SR5/8 SR5/8 SR5/8 SR5/8 SR5/8 SR5/8 SR5/8 SR5/8 SR5/8 SR5/8 PIPE_2.0(Nominal) PIPE_2.0(Nominal) PIPE_2.0(Nominal) PIPE_2.5(Nominal) PIPE_2.5(Nominal) PIPE_2.5(Nominal) PIPE_2.5(Nominal) PIPE_2.5(Nominal) PIPE_2.5(Nominal) PIPE_2.5(Nominal) PIPE_2.5(Nominal) PIPE_2.5(Nominal) PIPE_2.5(Nominal) PIPE_2.5(Nominal) PIPE_2.0(Nominal) PIPE_2.0(Nominal) PIPE_2.0(Nominal) Y Z X ✸ ✯ ■ ✣ ✤✿ ✷ ✥✱ ✥ ❊ ✫✱✭✥ ❃ ❄✼✻ ✺ ✯ ❱ ✻ ✤✣ ✱✥ ✥ ✱✫ ❲ ❑ ✭✲✮✮✭✥✥ ❃ ❄✼✻ ✺ ❃ ✮✺ ✯ ❊ ❊✤ ✫✱✭✥ ✱✥ ✰✭✫ ❍ ✣✼✼ ✣ ✤ ✥✰ ✫✥ ✱ ❄✼ ✯ ✕ ❊ ✤ ✫✺ ✱✥ ✰✭✫ ❁ ✣ ✣■ ✸ ✷✰ ✰ ✥✮ ❊ ✫✱✭✥ ✯ ✪ ❊ ✤ ✥✮✧ ✱✥ ✰✭✫ ❁ ✣ ✷✰ ✥✮ ❃ ❄✼✻ ✺ ✣■ ✸ ✯ ✸✣✢ ❊ ✫✱✭✥ ✰ ✱✥ ✥ ❊ ✫✱✭✥ ❄✼✳✻❃ ✯ ✸✣✢ ❁ ✣ ✷✰ ✥✮ ✱✥ ✥ ✣■ ❊✸ ✫✭ ✰ ❍ ✣✼✼ ✣ ✤ ✥✰ ✫✥ ✱ ✱✥ ❃ ❄✼✻ ✺ ✙✘✛✙ ✣❑ ✸✤✢❳✛ ❨ ✥✺ ✹ ✘ ✘✛✙✘ ✛✘ ❖✵✜ ✹ ✹ ✹ ✜❖ ✙✘ ❖▼❖▼ ✜ ✹ ✹ ✹ ✙ ✵✘✘ ✵✵ ✵ ✹ ✹ ✹ ✙ ✚✘✛ ✘✙▼ ✙ ✹ ✹ ✹ ❖ ✙✙ ✛✘✘ ❉ ✹ ✹ ✹ ✛ ✙❉ ✛✜✘ ✴ ✹ ✹ ✹ ✛✘✛✙ ✣❑ ✸✤✢❳✛ ❨ ✥✺ ✹ ✘ ✘✛✙✘ ✛✘ ❖✵✜ ✹ ✹ ✹ ✜❖ ✙✘ ❖▼❖▼ ✜ ✹ ✹ ✹ ✙ ✵✘✘ ✵✵ ✵ ✹ ✹ ✹ ✙ ✚✘✛ ✘✙▼ ✙ ✹ ✹ ✹ ❖ ✙✙ ✛✘✘ ❉ ✹ ✹ ✹ ✛ ✙❉ ✛✜✘ ✴ ✹ ✹ ✹ ▼✘✛✙ ✣❑ ✸✤✢❳✛ ❨ ✥✺ ✹ ✘ ✘✛✙✘ ✛✘ ❖✵✜ ✹ ✹ ✹ ✜❖ ✙✘ ❖▼❖▼ ✜ ✹ ✹ ✹ ✙ ✚✘✛ ✚▼ ▼ ✹ ✹ ✹ ✙ ✚✘✛ ✘✙▼ ✙ ✹ ✹ ✹ ❖ ✙✙ ✛✜✘ ✴ ✹ ✹ ✹ ✛ ✙✴ ✛✜✘ ✴ ✹ ✹ ✹ ❉✘✛✙ ✣❑ ✸✤✢❳✛ ❨ ✥✺ ✹ ✘ ✘✛✙✘ ✛✘ ❖✵✜ ✹ ✹ ✹ ✜❖ ✙✘ ❖▼❖▼ ✜ ✹ ✹ ✹ ✙ ✚✘✛ ✚▼ ▼ ✹ ✹ ✹ ✙ ✚✘✛ ✘✙▼ ✙ ✹ ✹ ✹ ❖ ✙✙ ✛✜✘ ✴ ✹ ✹ ✹ ✛ ✙✴ ✛✜✘ ✴ ✹ ✹ ✹ ❖✘✛✙ ✣❑ ✸✤✢❳✛ ❨ ✥✺ ✹ ✘ ✘✛✙✘ ✛✘ ❖✵✜ ✹ ✹ ✹ ✜❖ ✙✘ ❖▼❖▼ ✜ ✹ ✹ ✹ ✙ ✵✘✘ ✵✵ ✵ ✹ ✹ ✹ ✙ ✚✘✛ ✘✙▼ ✙ ✹ ✹ ✹ ❖ ✙✙ ✛✘✘ ❉ ✹ ✹ ✹ ✛ ✙❉ ✛✜✘ ✴ ✹ ✹ ✹ ✔ ✤ ✲✭✺✺ ✱✰✧✰✥✥ ❯ ◗✤ ✣✤ ✫✰ ✰✲✫ ✧✱✫ ✕ ❲✥✺ ❱ ✣✤ ✼✼◆✻ ✤ ✥✭ ✥✮ ✧✱ ❩ ✤✣✤ ✰✧✲ ❲ ❄✤✼❃ ✾ ✣ ✤ ✼✼◆✻ ✤ ◗ ✥✮ ✫✰❆ ✭✫ ✧ ✷✰✥ ✣❃ ❄ ✰ ✿✤ ✿✤✸✣■ ✣❃ ❄ ✣❃ ❄ ✰ ✰ ❁ ✿✤ ■ ✣ ✤✿ ✷ ✥✺ ✥ ✣❃ ❄ ✳✻❃ ❄ ✰ ✮ ✻✻✔ ✣✿✢ ✣✸✻ ✣✿✢❬ ✸✻ ✥ ✥ ✬✫ ✷✰ ❊❃ ❄✤ ✰✭✫ ✸ ❱ ✻ ✤✣ ❑ ✥ ✥ ✱✫ ✭✲✮✮✭✥✥ ❲ ❊❃ ❄✤ ✰✭✫ ❱ ✻ ✤✣ ❑ ✥ ✱✫ ✭✲✮✮✭✥✥ ❲ ❍ ✣✼✼ ✣ ✤ ❃ ❄✼ ✥✰ ✫✥ ✱ ✮✺ ❊ ❊✤ ❊ ✔❑✖✤ ✫✱✭✥ ✰✫✭ ✰✭✫ ❍ ✣✼✼ ✣ ✤ ✥✰ ✥✫ ✱ ❊ ❁✤ ✣ ✥✮ ✰✭✫ ✰✷ ✣■ ❊✸ ✫✱✭✥ ✰ ❃ ❄✤✼ ✽✮ ✸✣✢ ❊ ✫✥✱✭ ✥ ❍ ✣✼✼ ✣ ✤ ✥✰ ✫✥ ✱ ❄✼✳✻❃ ✸✣✢ ❁ ✣ ✣■ ✸ ✷✰ ✰ ✥✮ ✥ ❊ ✫✱✭✥ ❄✼✳✻❃ ✯ ❱ ✻ ✤✣ ✥ ✱✥ ✱✫ ❲ ✯ ■ ✣ ✤✿ ✷ ✱✥ ✥ ✳✻❃ ❄ ✮ ✯ ❊ ❊✤ ✫✱✭✥ ✱✥ ✰✭✫ ❑ ✭✲✮✮✭✥✥ ❃ ❄✼ ✮✺ ✯ ❊ ❁✤ ✣ ✷✰ ✥✮ ✱✥ ✰✭✫ ✣■ ❊✸ ✫ ✰ ❍ ✣✼✼ ✣ ✤ ✥✰ ✫✥ ✱ ✯ ✸✣✢ ❊ ✫✱✭✥ ✱✥ ✥ ✱✭✥ ❍ ✼ ✫✥ ❄✼✳✻❃ ✯ ✸✣✢ ❁ ✣ ✷✰ ✥✮ ✱✥ ✥ ✣■ ❊✸ ✫✱✭✥ ✰ ✣✼ ✣ ✤ ✥✰ ✱ ❄✼✳✻❃ ✖❑◆❍✢❯❯◆❍ ❉✾✦✦ ❍❖✴ ✴✶ ▼❱ ❭ ❈ ❈ ❈ ✔ ✤ ✙✙ ✰ ✧✰✰✥ ✘ ✵✘ ✴✚✚ ✘ ✹ ✹ ✹ ✚✙ ✵✴ ✛✘✙✜ ✙ ✹ ✹ ✹ ✦ ✙❬✘ ❖▼ ✫ ✹ ❖▼ ✙✜ ✵✙✙▼ ✵✘ ✹ ✹ ✹ ✘❖❖ ✙✛ ❉✴✛✜❖ ▼ ✹ ✹ ✹ ✘✴▼ ❖✴ ✘✙ ❉✵ ✹ ✹ ✹ ❉✜ ✘✚ ❉❉❉✜ ✜ ✹ ✹ ✹ ✖❑◆❍✢❯❯◆❍ ❉✾✦✦ ❍❖✴ ✴✶ ▼❱ ❭ ❈ ❈ ❈ ✔ ✤ ✙✛ ✰ ✧✰✰✥ ✘ ✵✘ ✴✚✚ ✘ ✹ ✹ ✹ ✚✙ ✵✴ ✛✘✙✜ ✙ ✹ ✹ ✹ ✦ ✙❬✘ ❖▼ ✫ ✹ ❖▼ ✙✜ ✵✙✙▼ ✵✘ ✹ ✹ ✹ ✘❖❖ ✙✛ ❉✴✛✜❖ ▼ ✹ ✹ ✹ ✘✴▼ ❖✴ ✘✙ ❉✵ ✹ ✹ ✹ ❉✜ ✘✚ ❉❉❉✜ ✜ ✹ ✹ ✹ ✦◆✢✢❍✯✶✖ ❫✵✵✦✚✙❉✴✶✯✔❪❁✵✵✦✚❉❉✴✶✯✔ ❭ ✔ ✤ ✙❖ ✰ ✧✰✰✥ ✘ ✜✘ ✛✵✙ ✘ ✹ ✹ ✹ ❖✙ ✜✚ ✵❉✙✙ ✵ ✹ ✹ ✹ ✦ ✙❬✘ ❖▼ ✫ ✹ ❖▼ ✙✜ ✘✙✚✛ ✴✛ ✹ ✹ ✹ ✘▼▼ ✙❖ ✘✚✙✴❉ ✚ ✹ ✹ ✹ ✴❉✛ ❖▼ ✘✙ ▼✵ ✹ ✹ ✹ ✛❖ ✘✙ ✛▼✚✵ ✚ ✹ ✹ ✹ ✦◆✢✢❍✯✶✖ ✛✙✪❴❖✪✚❉❉❉✢P✶✶ ❭ ✙✙✖❯✕ ✘ ✘ ✘✙ ❖✙✴ ✘ ❈ ✹ ✹ ✹ ▼✙ ✘✙✛ ▼✵❉ ✘ ✹ ✹ ✹ ❵ ✙❬❉❖ ❖▼ ✥✮ ✹ ❖▼ ✙✜ ✘✘✛ ✘✴ ✹ ✹ ✹ ✚✙ ✙❉ ✘✘✛ ✘ ✹ ✹ ✹ ✙✵ ❖✛ ✘✙ ✘✵ ✹ ✹ ✹ ✛ ✘✘ ✘✘✵ ✘ ✹ ✹ ✹ ✦◆✢✢❍✯✶✖ ✢P✶✶ ✛✪✛▼ ❈ ❭ ✙✙✖❯✕ ✘ ✘ ✘✙ ✵✛✘ ✛ ❈ ✹ ✹ ✹ ✛✙ ✵✙ ✛❖✘ ✚ ✹ ✹ ✹ ❵ ✙❬✘✜ ❖▼ ✥✮ ✹ ❖▼ ✙✜ ✘✴✛ ▼▼ ✹ ✹ ✹ ✘✙ ✙✜ ✜✜✘✛ ✘ ✹ ✹ ✹ ✴✜ ❖✵ ✘✙ ✙✵ ✹ ✹ ✹ ✘ ✘✘ ❖✙✘✵ ✜ ✹ ✹ ✹ ✦◆✢✢❍✯✶✖ ❉✙✪✜✵❉❉✢P✶✶ ❭ ✙✛✖❯✕ ✘ ✘ ✘✙ ✜✙✵ ✙ ❈ ✹ ✹ ✹ ▼✙ ✜❉ ✚❖▼ ❉ ✹ ✹ ✹ ❵ ✙❬✜✴ ❖▼ ✥✮ ✹ ❖▼ ✙✜ ✘✘✛ ✘❉ ✹ ✹ ✹ ✛✙ ✙✚ ✘✘✛ ✘ ✹ ✹ ✹ ▼✵ ❖✘ ✘✙ ✘✵ ✹ ✹ ✹ ✘ ✘✵ ✘✘✵ ✘ ✹ ✹ ✹ ✦◆✢✢❍✯✶✖ ✢P✶✶ ✔✴✴✪✛▼ ❈ ❭ ✙✛✖❯✕ ✘ ✘ ✘✙ ✵✛✙ ✛ ❈ ✹ ✹ ✹ ✛✙ ✵✙ ▼❖✘ ✘ ✹ ✹ ✹ ❵ ✙❬✘✜ ❖▼ ✥✮ ✹ ❖▼ ✙✜ ✘✴✛ ▼▼ ✹ ✹ ✹ ✘✙ ✙✜ ✜✜✘✛ ❉ ✹ ✹ ✹ ✴✜ ❖✚ ✘✙ ✙✵ ✹ ✹ ✹ ✘ ✘✘ ❖✙✘✵ ✚ ✹ ✹ ✹ ✦◆✢✢❍✯✶✖ ✢P✶✶ ✘▼✪✛▼ ❈ ❭ ✙▼✖❯✕ ✘ ✘ ✘✙ ✵✛✙ ✛ ❈ ✹ ✹ ✹ ✛✙ ✵✙ ▼❖✘ ✘ ✹ ✹ ✹ ✦ ✙❬✘ ❖▼ ✫ ✹ ❖▼ ✙✜ ✙✴✛ ✵✴ ✹ ✹ ✹ ▼❖ ✙✜ ✜✜✘✛ ❉ ✹ ✹ ✹ ✴✜ ❖✚ ✘✙ ✙✵ ✹ ✹ ✹ ✘✙ ✘❖ ❖✙✘✵ ✚ ✹ ✹ ✹ ❑✔❍❵✔✶ ✚❍❁ ✜❉ ✘✴ ❉✛ ❍✜ ❱✖ ❭ ❈ ❈ ❈ ❈ ❈ ✙❉✖❯✕ ✘ ✘ ▼✙ ✙▼✙ ❉ ❈ ✹ ✹ ✹ ✘✙ ✜✙✛ ✴✛▼ ✛ ✹ ✹ ✹ ✦ ✙❬✘ ❖▼ ✫ ✹ ❖▼ ✘✜ ✙✙❖ ❉✙ ✹ ✹ ✹ ✴▼ ✘✚ ❉✴✘❖ ✛ ✹ ✹ ✹ ✛✜ ❖✴ ✘✙ ✘✵ ✹ ✹ ✹ ✘✙ ✘❉ ✴✙✘✵ ✚ ✹ ✹ ✹ ❱ ✣✤ ✼✼◆✻ ✤ ✾ ✣ ✣❁❴✤✿ ✷ ✥✭ ✥✮ ✧✱ ✥ ✧ ✹ ❄✤✼❃ ❁ ✿✤ ✥✺ ✢ ✣❃ ❄ ✣❃ ❄ ✰ ✰ ✣❯ ❱ ✻ ✤✣ ✥ ✰ ✱✫ ❲ ✿ ❑ ✧✥✺ ✭✲✮✮✭✥✥ ❯ ❱ ✻ ✤✣ ✥ ❨✧ ✱✫ ❲ ❑ ✭✲✮✮✭✥✥ ❍ ✣✼✼ ✣ ✤ ✥✰ ✫✥ ✱ ✣❯ ❱ ✻ ✤✣ ✥ ✰ ✱✫ ❲ ❑ ✭✲✮✮✭✥✥ ❍ ✣✼✼ ✣ ✤ ✥✰ ✫✥ ✱ ❯ ❱ ✻ ✤✣ ✥ ❨✧ ✱✫ ❲ ❑ ✭✲✮✮✭✥✥ ❃ ❄✼ ❃ ✮✺ ✣❯ ❊ ✫✱✭✥ ✰ ❍ ✣✼✼ ✣ ✤ ✥✰ ✫✥ ✱ ❄✼ ✮✺ ❯ ❊ ✣❯ ✯ ■ ✣ ✿ ✷ ✫✱✭✥ ❨✧ ✰ ✥✱ ✥ ❍ ✣✼✼ ✣ ✤ ✥✰ ✫✥ ✱ ✤ ❯ ✯ ■ ✣ ✤✿ ✷ ❨✧ ✥✱ ✥ ❃ ❄✼✻ ❃ ✺ ✣❯ ✯ ❱ ✻ ✤✣ ✰ ✥ ✥✱ ✱✫ ❲ ❑ ✭✲✮✮✭✥✥ ❄✼✻ ✺ ❯ ✯ ❱ ✻ ✤✣ ❨✧ ✱✥ ✥ ✱✫ ❲ ❑ ✥✭✲✮✮✭✥ ❃ ❄✼ ✮✺ ✣❯ ✯ ❊ ✫✱✭✥ ✰ ✱✥ ❍ ✣✼✼ ✣ ✤ ✥✰ ✫✥ ✱ ❃ ❄✼ ✮✺ ❯ ✯ ❊ ✫✱✭✥ ❨✧ ✱✥ ❍ ✣✼✼ ✣ ✤ ✥✰ ✫✥ ✱ ✖❑✯❑ ✛ ✘ ✹ ❛ ✘ ✛✘ ✛❖✵▼ ❖✵▼ ✹ ✹ ✹ ✶ ✙✸ ✙❖▼ ❖▼ ✰✲✫ ✹ ✹ ✛▼ ✛▼✛ ✘✛ ▼✚ ✹ ✹ ✹ ✙ ✜✘✛ ✜❖✴ ❖✴ ✹ ✹ ✹ ❉ ❉✴ ✘✴ ✵✵ ✹ ✹ ✹ ✘ ✙✚ ✹ ✖❑✯❑ ✛ ❖ ✹ ❛ ✘ ✛✘ ✛✘✜✜ ✘✜✜ ✹ ✹ ✹ ✶ ✙✸ ✙❖▼ ❖▼ ✰✲✫ ✹ ✹ ✛▼ ✛▼✛ ✙✛ ✘✛ ✹ ✹ ✹ ✙ ✚✘✛ ✚✛✵ ✛✵ ✹ ✹ ✹ ❉ ❉✴ ✙✴ ✜✙ ✹ ✹ ✹ ✙ ✜✙ ✹ ❜✜❴❖◗❑ ❜✛ ❨ ✘ ✘✘ ✛❖✛✴ ✘✘✘ ✹ ✹ ✹ ✻❊ ✙✤ ✙❖▼ ❖▼ ✧ ✹ ✹ ✛▼ ✛▼✛ ✙✛ ✘▼ ✹ ✹ ✹ ✙ ✜✵▼ ✜✴✙ ✴✙ ✹ ✹ ✹ ❉ ❉✴ ✘✴ ✘✵ ✹ ✹ ✹ ✘ ✘✵ ✹ ❜✜❴❖◗❑ ▼ ❜❖ ❨ ✹ ✘ ✘✘ ▼❖✛✴ ✘✘❖ ✹ ✹ ✹ ✻❊ ✙✤ ✙❖▼ ❖▼ ✧ ✹ ✹ ✛▼ ✛▼✛ ✙✛ ✘✛ ✹ ✹ ✹ ✙ ✘✙✵▼ ✘✙✜✙ ✜✙ ✹ ✹ ✹ ❉ ❉✴ ✘✴ ✘✵ ✹ ✹ ✹ ✘ ✘✵ ✹ ❉❴▼✶✢ ✘ ✘✘ ✘✘❖✵ ✘❖✵ ✹ ✹ ✹ ✶ ✙✸ ✙❖▼ ❖▼ ✰✲✫ ✹ ✹ ✛▼ ✛▼✛ ✙✛ ✘✛ ✹ ✹ ✹ ✙ ❖✘✛ ❖▼✛ ▼✛ ✹ ✹ ✹ ❉ ❉✴ ✘✴ ▼✚ ✹ ✹ ✹ ✘ ▼✚ ✹ ✜❴❖✶✢ ✘ ✘✘ ✘❖✛✴ ❖✛✴ ✹ ✹ ✹ ✶ ✙✸ ✙❖▼ ❖▼ ✰✲✫ ✹ ✹ ✛▼ ✛▼✛ ✙✛ ✘✛ ✹ ✹ ✹ ✙ ❉✘✛ ❉✴✚ ✴✚ ✹ ✹ ✹ ❉ ❉✴ ✘✴ ✜✜ ✹ ✹ ✹ ✘ ✜✜ ✹ ✪ ❑ ✣ ✻✖✤ ✣✤ ✤✼❃ ❄◗✢❯✔ ✫✰ ✥✮✧ ✰ ✧❀✥ ✫ ✹ ✸✣❯ ✾ ✣ ✻✖✤✿ ✣✤ ✤✼❃ ❄◗✢❯✔ ✷ ✫✰ ❈ ✥ ✧❀✥ ✹ ❍ ✤✤ ✸✣❯ ✾ ✣ ✣❁✤✿ ✤ ✤✼❃❄✛❴◗❃ ❄ ✷ ✮✭✥ ❈ ✥ ✮ ✱✰✧✥ ✫ ✹ ✕ ❑ ✣ ✻✖✤ ✣✤ ✤✼❃ ❄◗✢❯✔ ✫✰ ✫✭✬✥ ✰ ✧❀✥ ✫ ✹ ✕ ❑ ✣ ✣❁✤ ✤ ✼ ❍ ❄✤✼❃✤ ✫✭✬✥ ✰ ✮ ✱✰✧✥ ★✭✫ ✮✭✥ ✫ ❝ ❡❣❢❡ ❥ ❦ ❡♣ ❧♦♥♠ ✐❤ ❤❧ ❤ ❞ q ❡s ❥ ❦ ❡♣ ❧♦♥♠ ❧r♦♠✐❧r ❤❧ t ❤ ✕ ✣✿ ❍ ✻ ✻ ✣✤ ❑ ✸ ✧ ✫✰ ✲✭✥ ✫✺✧✭✷✫✺ ✱ ✧ ✲✱ ✱✭✥✫ ✕ ✣✿ ❊ ✤ ✥✧ ✫✺✧✭✷✫✺ ✱ ✭✲✥ ❍ ❑✤ ✣ ✮✭✥ ✰ ✫ ✻✖✤ ✣✤ ✤✼❃ ❄◗✢❯✔ ✫✰ ✧❀✥ ✹ ❯ ❯✤ ✳ ✰✲✫ ★✥ ✮✭✥ ✔ ✤ ✣✿✢ ✣✸✻ ❊ ✤ ❚ ✥ ✲✭✺✺ ✱✰✧✰✥✥ ✷✰ ✱✧ ✭✫ ✉ ❅ ✣■ ✣❁✸ ✣✤ ❑ ✳ ✤✣✻✣✳ ❊ ✫✰ ✧ ✰ ✱✭✥ ✭✫ ❲ ✯ ✤ ✻ ✣✤ ✧ ✫✰ ✫✺✭✥ ✰ ✤ ❚ ✈ ✱✧ ✭✫ ❅ ❫ ✤ ✮✲ ✶ ❊ ✤ ❫ ✇ ✥✮✰✫✺✮✥ ✱✧ ✭✫ ❅ ① ❡②♣ ④ ❡❣ ❤❞❧ ③r ♦❧ ✐❤ ❡⑤ ♣ ⑦❡ ♣ ④❣ ❣ ♠ ❞ ③ ♦❧ ⑥ ⑥ ② ⑧ ⑤♣ ♣ ❧♠ t③ ♦ ♦ ♣❡⑨ ❥ ❦ ❡♣ ❧♦♥♠ ③ ❤❧ ❤ ✕ ✕ ✫✭✬✥ ❲✥✺ ✤✢ ✤ ✻❍ ✧✮✮ ✱✲✭ ✭✲✥ ✖ ❍ ✤ ✭✲✮✫✺❨✥ ✧ ✭✫✷✥❲ ⑨ ❡ ❡ ❥ ❦ ❡♣ ❧♦♥♠ ③ ♥⑥ ❤❧ t ❤ ✿✢ ✤ ❑ ✣ ✶✸ ❑ ✤ ✢ ✫ ✥✮✰✫✺✮✥ ✭✫ ❈ ✭✥ ✥★✧✭✧ ✭✥ ✮ ❅ ✢✙ ❑ ✣ ✶✸ ❑ ✤ ✙✢ ✫ ✥❈✱ ✥✮✰✫✺✮✥ ✭✥ ✥★✧✭✧ ✭✥ ❅ ✪ ✣ ✣■ ✢✸ ❃✸ ❄✿ ✮✧ ✱ ✰ ✥✥✺ ✺★ ✪ ✧ ✣ ✣■ ✢✸ ✸ ✯✿✤✣ ❃ ❄✿ ✮ ✱ ✰ ✥✥✺ ✬ ✱✥ ✺★ ✢ ❍✻✣ ✤ ✫ ✧ ✭✫✷✥❲ ✿✢ ✤ ❑ ✣ ❁✸ ✣ ✶ ✫ ✷✰ ✥✮ ✭✫ ❈ ✭✥ ✫✺✮✥ ❑ ✤ ✢❁✢ ✥✮✰ ✥★✧✭✧ ✭✥ ❅ ✢✙ ❑ ✣ ❁✸ ✣ ✶ ❑ ✤ ✙❁✢ ✫ ✷✰ ✥❈✱ ✥✮ ✥✮✰✫✺✮✥ ✭✥ ✥★✧✭✧ ✭✥ ❅ ✶ ❯ ✣✼✣✸ ✣✤ ❍ ✣✼✼ ✣ ✤ ✶ ✫✰ ✥✰ ✫✥ ✥✮✰✫✺✮✥ ✫ ✧✱ ✱ ❅ ✢ ✣ ✣ ✶ ❍ ✣✼✼ ✣ ✤ ❍ ✥✰ ✥ ✫✥ ✥✮✰✫✺✮✥ ★✮ ✱ ✱ ✮ ❅ ⑩ ❺❹ ❾❽ ➀ ➂❽ ➄ ❶❸❷ ➁❿ ❼❻ ❶❿ ➅➇➆ ➃ ❁ ✣ ✷ ✥✮ ✯ ✣✿✕ ❂ ✣❃ ❄ ✤ ✰ ✱✥ ✱ ✮✮✥✰ ✰ ➅ ❅ ✕ ✫ ✤ ✾✻ ✣ ✤✿ ✤✢✼ ✤ ❄✤✼❃ ✿ ✷ ✧ ✥ ✫ ✱✲✭ ✭✲✥ ❅ ❯ ❍✤ ✤ ✣✻ ❄✤✼❃ ✿ ✥✰ ✰✲✫ ✭✥ ✥✰ ➈ ❅ ✔ ✤ ✲✭✺✺ ✱✰✧✰✥✥ ❫ ✻✖✸ ✣✤ ❊ ✤ ❚ ✫✰ ✰✲✭✫ ✧❀✥ ✱✧ ✭✫ ➇ ❅ ➉ ♣ ④ ❡❣ ❤③t♦③❤ ♠❞rr ♦❧ ✐❤ ✖ ✿✤ ❂ ✔ ✣✼✣✻ ✣✤ ❊ ✤ ✔ ✫✰ ✽✧✲ ✧✭ ✺★ ✧✱ ✱✧ ✭✫ ✮ ✥ ❅ ❱ ✣✤ ✢✻ ✣ ✣ ◗ ❊✸ ✤ ✥ ✥ ✧✱ ★✮ ✱ ✧✫ ✱✧ ✭✫ ✾ ✣ ✤ ✢✻ ✣ ✣ ◗ ❊✸ ✤ ✥ ✫✰❆ ✭✫ ✧ ★✮ ✱ ✧✫ ✱✧ ✭✫ ✕ ✣✿ ❊ ✤ ❚ ✫✺✧✭✷✫✺ ✱ ✱✧ ✭✫ ➋➊ ❅ ❑✘✙✵❉ ✤ ✭✫ ✫ ✣✼ ❁ ✣ ✿ ❂ ◗ ✤ ▼✘❖✘✜◆❍ ✧✰✬ ✫✰ ✭ ❀✥ ✮ ✫✱✫ ✰✫★✷✰✫ ❅ ❅ ❅ ✹ ➌ ✤ ✘▼❖❄✚✵❉❃ ✵✛✴✜ ✳ ✸ ➌ ✤ ✧ ✧ ✷✰✭✬✫✥✥ ★✱✫ ❈ ✰✥ ✲ ✥ ✫ ✹ ✹ ❅ ✵✵❉❄✘✴▼❃ ❉▼✚✙ ✷✰✭✬✥✥ ★✱✫ ❈ ✹