South Halls: “Building Z” Outline - Introduction [-The Author-] [The Building] [Gravity Alternatives] [Proposal] - Structural Redesign - Mechanical Redesign - Conclusion - Renderings Courtesy of Clark Nexsen Exterior Rendering Thesis Redesign - Jonathan Gallis - Structural Option BAE/MAE - Professor Parfitt - Spring 2013 Senior Thesis South Halls: “Building Z” Outline - Introduction [The Author] [-The Building-] [Gravity Alternatives] [Proposal] - Structural Redesign - Mechanical Redesign - Conclusion - Renderings Courtesy of Clark Nexsen Site Location Renovation Planning South Halls: “Building Z” Outline - Introduction [The Author] [-The Building-] [Gravity Alternatives] [Proposal] - Structural Redesign - Mechanical Redesign - Conclusion - Renderings Courtesy of Clark Nexsen Exterior Rendering Thesis Redesign - Owner [Penn State] - CM [Barton Malow] - Design [Clark Nexsen ] - Assoc Arch [APArchitects] - Civil Eng [Sweetland] - GeoTech [CMT Labs] South Halls: “Building Z” Outline - Introduction [The Author] [-The Building-] [Gravity Alternatives] [Proposal] - Structural Redesign - Mechanical Redesign - Conclusion - Navisworks model courtesy of Clark Nexsen and Barton Malow Structural Layout: Gravity Architectural Plan South Halls: “Building Z” Outline - Introduction [The Author] [-The Building-] [Gravity Alternatives] [Proposal] - Structural Redesign - Mechanical Redesign - Conclusion Structural Layout: Lateral Brace Layout South Halls: “Building Z” Summary of Alternatives Structural Architectural General Weight Cost/ft2 Depth Girder Depth Fire Rating 50.2 $15.63 17.5 19.5 (1 hr req.) 1 2 4 Other (baseline) 4 Foundation (baseline) 1 Lateral (baseline) 1 (Medium) 3 No Camber Provided Live Load Deflections Total Deflections notes Vibration Control Schedule Constructability Avg Rank 3 2.0 4 1.5 2.5 Flat Plate 131 $15.45 10 10 (2hr) 4 1 2 3 One-Way Slab on Beams 108.0 $15.75 17 17 (2hr) 3.0 3 3 Rank Rank Precast Hollow core/ GirderSlab 90.0 $17.26 10 10 (2hr) Reduced depth may help blend structure into surrounding buildings Requires Larger Foundation Gusset extend past thinner slab; braces resized for larger weight Rank Composite Steel Rank System Consideration Serviceability - Introduction [The Author] [The Building] [-Gravity Alternatives-] [Proposal] - Structural Redesign - Mechanical Redesign - Conclusion Tech II: Concrete Alternatives Constr. Outline 2.5 3 Reduced depth; drop ceiling not required; No frames 1 drop ceiling not required; no frames 2 2.5 Requires Much Larger Foundation 4 Requires Larger Foundation 2.5 2 Redesign w/ Shear Walls or MRF; Much larger weight 4 Redesign w/ Shear Walls or MRF; larger weight 3 0.44" (Medium) 3 (Good) 2 (Very Good) 1 1 1.7" total, can be reduced with camber 3 Creep Effects Should be considered 4 Reduced Creep Effects 2 Average 4 Very Good 2 Very Good 2 Very Good 2 (baseline) 2 1 Will extend duration 4 Medium 3 4 Easy 2 2.38 May Reduce Construction Schedule Difficult 2.54 2.58 Will extend duration 3.5 Easy 1.5 2.42 South Halls: “Building Z” Outline - Introduction [The Author] [The Building] [Gravity Alternatives] [-Proposal-] - Structural Redesign - Mechanical Redesign - Conclusion - Courtesy of the Bulletin Seismological Society of America - Courtesy of Google Maps Proposal: Relocation Berkley, CA South Halls: “Building Z” Outline - Introduction - Structural Redesign [-New Loads-] [Computer Modeling] [OCBF] [EBF] - Mechanical Redesign - Conclusion - Taken From ASCE 7-05 Proposal: Relocation Berkley, CA SDC CS T PA A 2.3% .82 s CA R=3.25 D 47.4% .63 s CA R=8 D 18.4% .69 s South Halls: “Building Z” Outline - Introduction - Structural Redesign [New Loads] [-Computer Modeling-] [OCBF] [EBF] - Mechanical Redesign - Conclusion Existing Model: ETABS Assumptions - Rigid Diaphragm [Two 1st floor assignments] - Rigid roof trusses - End offsets - Pinned connections - Eccentric shear wall - Lack of retaining wall - P-Δ assumed negligible - Lumped point mass South Halls: “Building Z” Outline - Introduction - Structural Redesign [New Loads] [-Computer Modeling-] [OCBF] [EBF] - Mechanical Redesign - Conclusion New Model: SAP2000 Assumptions - Flexible diaphragm – no roof - Roof trusses modeled explicitly - End offsets - Pinned connections [Panel zone for fixed] - Eccentric shear wall - Retaining wall modeled explicitly - Includes P-Δ effects - Distributed line and area mass South Halls: “Building Z” Outline - Introduction - Structural Redesign [New Loads] [Computer Modeling] [-OCBF-] [EBF] - Mechanical Redesign - Conclusion Design Process ELF: each system Resize Members Find new member forces Find ELF Find Natural Periods Find deflections, determine tors. amp. South Halls: “Building Z” Outline 04 - Fourth 05 - Attic Case Floor Loading 03 - Third - Introduction - Structural Redesign [New Loads] [Computer Modeling] [-OCBF-] [EBF] - Mechanical Redesign - Conclusion Torsion Analysis Applied Forces NS (y direction) Direction of loading Fy kip 1 1 2 2 2 2 3 3 1 1 2 2 2 2 3 3 1 1 2 2 2 2 3 3 100% NS+ 100% EW+ 100% NS+ 100% NS- 30% NS+ + 100% NS 100% NS+ 100% 100% 100% 30% EW+ EWEW+ EW+ 100% EW+ 100% NS+ 100% NS- + 30% NS + 100% NS 100% NS+ 100% 100% 100% 30% EW+ EWEW+ EW+ 100% EW+ 100% NS+ 100% NS- + 30% NS + 100% NS Thesis Redesign 100% 100% 100% 30% EW+ EWEW+ EW+ 214.2 0.0 214.2 214.2 0.0 0.0 64.3 214.2 398.1 0.0 398.1 398.1 0.0 0.0 119.4 398.1 532.3 0.0 532.3 532.3 0.0 0.0 159.7 532.3 eacc.y Mom.Arm Fx in 0 0 97 -97 0 0 0 0 0 0 97 -97 0 0 0 0 0 0 97 -97 0 0 0 0 in -2 0 94 -99 0 0 -2 -2 2 0 99 -95 0 0 2 2 -1 0 96 -97 0 0 -1 -1 Reactions (kips) EW (x direction) kip 0.0 214.2 0.0 0.0 214.2 214.2 214.2 64.3 0.0 398.1 0.0 0.0 398.1 398.1 398.1 119.4 0.0 532.3 0.0 0.0 532.3 532.3 532.3 159.7 eacc.x Mom.Arm in 0 0 0 0 54 -54 0 0 0 0 0 0 54 -54 0 0 0 0 0 0 54 -54 0 0 in 0 -7 0 0 47 -61 -7 -7 0 -5 0 0 49 -59 -5 -5 0 -2 0 0 52 -56 -2 -2 Mom. Q+ (kip-in) -527 -1,566 20,186 -21,240 10,000 -13,133 -1,725 -997 815 -1,980 39,312 -37,681 19,517 -23,478 -1,736 221 -307 -1,209 51,167 -51,782 27,536 -29,954 -1,301 -670 BF-1 x 38.4 0.0 38.4 38.4 0.0 0.0 11.5 38.4 75.6 0.0 75.6 75.6 0.0 0.0 22.7 75.6 104.8 0.0 104.8 104.8 0.0 0.0 31.5 104.8 BF-4 CW-4.1 BF-8 x x x 66.3 0.0 64.4 0.0 0.0 0.0 66.3 0.0 64.4 66.3 0.0 64.4 0.0 0.0 0.0 0.0 0.0 0.0 19.9 0.0 19.3 66.3 0.0 64.4 120.5 0.0 116.2 0.0 0.0 0.0 120.5 0.0 116.2 120.5 0.0 116.2 0.0 0.0 0.0 0.0 0.0 0.0 36.2 0.0 34.9 120.5 0.0 116.2 152.1 0.0 160.0 0.0 0.0 0.0 152.1 0.0 160.0 152.1 0.0 160.0 0.0 0.0 0.0 0.0 0.0 0.0 45.6 0.0 48.0 152.1 0.0 160.0 Direct Shear (Vd) BF-12 CW-K BF-H CW-F CW-E BF-C CW-A x y y y y y y 45.1 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 99.3 0.0 0.0 114.9 0.0 45.1 0.0 0.0 0.0 0.0 0.0 0.0 45.1 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 99.3 0.0 0.0 114.9 0.0 0.0 0.0 99.3 0.0 0.0 114.9 0.0 13.5 0.0 99.3 0.0 0.0 114.9 0.0 45.1 0.0 29.8 0.0 0.0 34.5 0.0 85.8 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 186.4 0.0 0.0 211.7 0.0 85.8 0.0 0.0 0.0 0.0 0.0 0.0 85.8 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 186.4 0.0 0.0 211.7 0.0 0.0 0.0 186.4 0.0 0.0 211.7 0.0 25.7 0.0 186.4 0.0 0.0 211.7 0.0 85.8 0.0 55.9 0.0 0.0 63.5 0.0 115.4 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 252.0 0.0 0.0 280.3 0.0 115.4 0.0 0.0 0.0 0.0 0.0 0.0 115.4 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 252.0 0.0 0.0 280.3 0.0 0.0 0.0 252.0 0.0 0.0 280.3 0.0 34.6 0.0 252.0 0.0 0.0 280.3 0.0 115.4 0.0 75.6 0.0 0.0 84.1 0.0 BF-1 BF-4 CW-4.1 BF-8 x x x x 0.2 0.1 0.0 -0.1 0.5 0.4 0.0 -0.2 -7.0 -4.5 0.0 3.0 7.4 4.8 0.0 -3.1 -3.5 -2.2 0.0 1.5 4.6 3.0 0.0 -1.9 0.6 0.4 0.0 -0.3 0.3 0.2 0.0 -0.1 -0.3 -0.2 0.0 0.1 0.7 0.4 0.0 -0.3 -14.0 -8.3 0.0 5.6 13.4 8.0 0.0 -5.3 -7.0 -4.1 0.0 2.8 8.4 5.0 0.0 -3.3 0.6 0.4 0.0 -0.2 -0.1 0.0 0.0 0.0 0.1 0.1 0.0 0.0 0.4 0.2 0.0 -0.2 -18.8 -10.2 0.0 7.3 19.0 10.3 0.0 -7.4 -10.1 -5.5 0.0 3.9 11.0 6.0 0.0 -4.3 0.5 0.3 0.0 -0.2 0.2 0.1 0.0 -0.1 Torsional Shear (Vt) BF-12 CW-K BF-H CW-F CW-E BF-C CW-A x y y y y y y -0.2 0.0 0.1 0.0 0.0 -0.1 0.0 -0.7 0.0 0.4 0.0 0.0 -0.4 0.0 8.6 0.0 -5.3 0.0 0.0 5.3 0.0 -9.0 0.0 5.6 0.0 0.0 -5.6 0.0 4.3 0.0 -2.6 0.0 0.0 2.6 0.0 -5.6 0.0 3.5 0.0 0.0 -3.5 0.0 -0.7 0.0 0.5 0.0 0.0 -0.5 0.0 -0.4 0.0 0.3 0.0 0.0 -0.3 0.0 0.3 0.0 -0.2 0.0 0.0 0.2 0.0 -0.8 0.0 0.5 0.0 0.0 -0.5 0.0 16.8 0.0 -10.1 0.0 0.0 10.1 0.0 -16.1 0.0 9.7 0.0 0.0 -9.7 0.0 8.3 0.0 -5.0 0.0 0.0 5.0 0.0 -10.0 0.0 6.0 0.0 0.0 -6.0 0.0 -0.7 0.0 0.4 0.0 0.0 -0.4 0.0 0.1 0.0 -0.1 0.0 0.0 0.1 0.0 -0.1 0.0 0.1 0.0 0.0 -0.1 0.0 -0.5 0.0 0.3 0.0 0.0 -0.3 0.0 21.7 0.0 -12.8 0.0 0.0 12.8 0.0 -22.0 0.0 12.9 0.0 0.0 -12.9 0.0 11.7 0.0 -6.9 0.0 0.0 6.9 0.0 -12.7 0.0 7.5 0.0 0.0 -7.5 0.0 -0.6 0.0 0.3 0.0 0.0 -0.3 0.0 -0.3 0.0 0.2 0.0 0.0 -0.2 0.0 BF-1 x 38.6 0.5 31.4 45.8 -3.5 4.6 12.1 38.8 75.3 0.7 61.5 89.0 -7.0 8.4 23.3 75.5 105.0 0.4 86.0 123.9 -10.1 11.0 31.9 105.1 Combined (Vd + α*Vt) BF-4 CW-4.1 BF-8 BF-12 CW-K BF-H CW-F CW-E BF-C CW-A x x x x y y y y y y 66.4 64.3 44.9 0.1 -0.1 0.4 -0.2 -0.7 99.7 114.5 61.8 67.3 53.7 -5.3 5.3 71.1 61.3 36.0 5.6 -5.6 -2.2 1.5 4.3 96.7 117.5 3.0 -1.9 -5.6 102.8 111.4 20.3 19.1 12.8 99.8 114.4 66.5 64.2 44.7 30.1 34.2 120.4 116.3 86.1 -0.2 0.2 0.4 -0.3 -0.8 186.9 211.2 112.2 121.8 102.6 -10.1 10.1 128.5 110.9 69.7 9.7 -9.7 -4.1 2.8 8.3 181.4 216.7 5.0 -3.3 -10.0 192.4 205.7 36.5 34.6 25.0 186.8 211.3 120.5 116.3 85.9 55.9 63.6 152.1 159.9 115.3 0.1 -0.1 0.2 -0.2 -0.5 252.3 280.0 141.9 167.3 137.1 -12.8 12.8 162.4 152.6 93.5 12.9 -12.9 -5.5 3.9 11.7 245.1 287.2 6.0 -4.3 -12.7 259.5 272.8 45.9 47.8 34.1 252.3 280.0 152.2 159.9 115.1 75.8 83.9 - Frame Shear (kips) Level 06N - Roof 06S - Roof 05 - Attic 04 - Fourth 03 - Third 02 - Second 01N - First 01S - First BF-1 BF-4 CW-4.1 BF-8 0.0 40.1 45.8 89.0 123.9 138.3 0.0 72.4 45.1 0.0 0.0 0.0 0.0 40.3 71.1 0.0 67.3 128.5 0.0 121.8 162.4 0.0 167.3 214.7 0.0 160.0 240.6 69.9 0.0 0.0 0.0 63.0 BF-12 CW-K Key: BF-H CW-F CW-E 43.6 0.0 0.0 0.0 0.0 0.0 34.1 43.9 0.0 0.0 53.7 0.0 102.8 0.0 0.0 102.6 0.0 192.4 0.0 0.0 137.1 0.0 259.5 0.0 0.0 173.1 0.0 302.7 0.0 0.0 285.6 0.0 0.0 0.0 22.1 0.0 0.0 168.9 167.2 0.0 BF-C CW-A 48.5 37.0 0.0 0.0 117.5 0.0 216.7 0.0 287.2 0.0 331.5 0.0 77.0 238.3 0.0 0.0 no force Case 1 Case 2 Case 3 Case 4 South Halls: “Building Z” Outline - Introduction - Structural Redesign [New Loads] [Computer Modeling] [-OCBF-] [EBF] - Mechanical Redesign - Conclusion Layout Modifications Thesis Redesign South Halls: “Building Z” Outline - Introduction - Structural Redesign [New Loads] [Computer Modeling] [-OCBF-] [EBF] - Mechanical Redesign - Conclusion Layout Modifications Thesis Redesign South Halls: “Building Z” Outline - Introduction - Structural Redesign [New Loads] [Computer Modeling] [-OCBF-] [EBF] - Mechanical Redesign - Conclusion OCBF Connection Detail South Halls: “Building Z” Outline - Introduction - Structural Redesign [New Loads] [Computer Modeling] [-OCBF-] [EBF] - Mechanical Redesign - Conclusion EBF Layout Modifications WF Column Design South Halls: “Building Z” Outline - Introduction - Structural Redesign [New Loads] [Computer Modeling] [OCBF] [-EBF-] - Mechanical Redesign - Conclusion EBF Process Size Plastic Link EBF Frame Check Link Rotation Add Sufficient Stiffeners to Link Size other members on Link Yielding + strain hardening South Halls: “Building Z” Outline - Introduction - Structural Redesign [New Loads] [Computer Modeling] [OCBF] [-EBF-] - Mechanical Redesign - Conclusion EBF Process WF Column Design South Halls: “Building Z” Outline - Introduction - Structural Redesign [New Loads] [Computer Modeling] [OCBF] [-EBF-] - Mechanical Redesign - Conclusion Comparison? OCBF Roof Disp Structure Cost Detailing Welding Architecture Foundation Legality EBF 6.24" 3.97" $ 1,010,000 $ 910,000 By Fabrictor By EOR Heavy Weld No Field Weld Usage Negative No Impact Impact Major Impact Smaller Impact Illegal legal South Halls: “Building Z” Outline State College, PA Berkley, CA Summer Heat Gain for "Building Z" Located in State College PA Wall Q= NW ? NE? SE? SW? Windows Q= NW ? NE? SE? SW? Lighting Q= (Elec. Sched.) Appliances Q= (Elec. Sched.) Occupants Q= Infiltration Q= Ventilation Q= Fan Heat Q= U 0.032 U 0.054 0.060 0.059 0.060 (U X X A 10,604 ft² A 8,140 ft² 5,520 ft² 10,175 ft² 5,520 ft² A X TETD 43 X TETD 19 19 23 21 X (A SHGF) 1,465 38.8 (U x A x TETD was incorporated into wall 1,322 38.8 assembly) 1,832 46.8 1,322 46.8 lamps watts X X Ballast Factor (fixtures X 3.41 /fix. /lamp) X ( 3.41 1.05 13,600 W ) X X Watt. 3.41 (1 - efficiency) 1 0.7 216,400 W 3.41 X Btuh/ person # of occupants 250 211 X (A.C./hour X X 1.1 Volume) / 60 ΔT 1.1 0.34 245,316 ft³ 60 12 X X X Wheel efficiency) 1.1 CFM TD (1 1.1 7,256 12 1 0.52 X / efficiency HP 2545 15 2,545 0.95 X X TETD) + Latent Occupants Q= Infiltration Q= Ventilation Q= Btuh/ person 250 X (A.C./hour 4500 4500 0.34 X 4500 CFM 4500 7,256 X X X # of occupants 211 Volume) / 60 245,316 ft³ 60 (Woa Wroom) 0.0144 0.009 (Woa 0.0144 (1 1 - Wroom) 0.009 - Wheel Eff.) 74.5% Verify enthalpy MechSched. 2-pipe FCU 4-pipe FCU ERV-1 %Difference 52,750 52,750 33,691 33,691 44,826 44,826 131,266 Total Latent Hand Calcs Roof Q= Qsensible 733,158 + Qlatent 131,266 X X X efficiency Q= 500 GPM (Tsupply Treturn) 500 108 57 45 85.3% 500 77 57 45 85.3% 500 32.1 60 45 85.3% (or can be treated as the allowance for efficiency losses through heat loss through insulation and at the air-water hx of the FCU's) 864,424 864,424 947,263 552,997 394,266 205,454 9% Sub-Components Q= roof Wall Q= NW ? NE? SE? SW? Windows Q= NW ? NE? SE? SW? Lighting Q= (Elec. Sched.) Appliances Q= (Elec. Sched.) Occupants Q= Infiltration Q= Ventilation Q= Fan Heat Q= U 0.032 U 0.054 0.060 0.059 0.060 (U X X A 10,604 ft² A 8,140 ft² 5,520 ft² 10,175 ft² 5,520 ft² A X Totals TETD 33 X TETD 9 9 13 11 X (A SHGF) 1,465 36.0 (U x A x TETD was incorporated into wall 1,322 36.0 assembly) 1,832 44.0 1,322 44.0 lamps watts X X Ballast Factor (fixtures X 3.41 /fix. /lamp) X ( 3.41 1.05 13,600 W ) X X Watt. 3.41 (1 - efficiency) 1 0.7 216,400 W 3.41 X Btuh/ person # of occupants 250 211 X (A.C./hour X X 1.1 Volume) / 60 TD 1.1 0.34 245,316 ft³ 60 5 X X X Wheel efficiency) 1.1 CFM TD (1 1.1 7,256 5 1 0.52 X / efficiency HP 2545 15 2,545 0.95 X X TETD) + Occupants Q= Infiltration Q= Ventilation Q= Btuh/ person 250 X (A.C./hour 4500 4500 0.34 X 4500 CFM 4500 7,256 X X X # of occupants 211 Volume) / 60 245,316 ft³ 60 (Woa Wroom) 0.0084 0.008 (Woa 0.0084 (1 1 - Wroom) 0.008 - Wheel Eff.) 74.5% 52,750 52,750 - 52,750 Total Latent Total Loads 11,310 11,310 18,359 3,982 2,984 3,647 7,746 239,061 52,747 47,578 80,586 58,150 48,695 48,695 221,377 221,377 52,750 52,750 7,646 7,646 19,166 19,166 40,184 40,184 658,548 Total Sens 733,158 Total Sens - Procedure and Data from: MEEB Stein, et al. Mech . And Elec. Systems in Buildings Janis, Tao 14,737 14,737 35,373 8,406 6,300 6,963 13,705 255,693 56,850 51,278 85,714 61,851 48,695 48,695 221,377 221,377 52,750 52,750 18,350 18,350 45,999 45,999 40,184 40,184 Component Sensible Heat Loads Q= Totals Latent Roof Sub-Components roof Sensible Heat Loads - Introduction - Structural Redesign - Mechanical Redesign [-New Loads-] [Existing Layout] [Proposed Layout] - Conclusion Component Summer Heat Gain for"Building Z" Located in Berkley CA Total Approximate California Summer Loads (rounded) 710,000 Total Approximate Pennsylvania Loads (rounded) 860,000 Total Approximate Reduction in Cooling Loads -17% South Halls: “Building Z” Outline - Introduction - Structural Redesign - Mechanical Redesign [New Loads] [-Existing Layout-] [Proposed Layout] - Conclusion Existing Hybrid Berkley, CA South Halls: “Building Z” Outline - Introduction - Structural Redesign - Mechanical Redesign - Conclusion/Thank You Existing Hybrid Berkley, CA South Halls: “Building Z” Outline Existing Hybrid Berkley, CA Questions? South Halls: “Building Z” Outline - Introduction - Structural Redesign - Mechanical Redesign [-New Loads-] [Existing Layout] [Proposed Layout] - Conclusion Alternative Cost South Halls: “Building Z” - Introduction - Structural Redesign [New Loads] [Computer Modeling] [OCBF] [-EBF-] - Mechanical Redesign - Conclusion PA CA R=3.25 CA R=8 NS↕↕↕ EW↔↔↔ NS↕↕↕ EW↔↔↔ NS↕↕↕ EW↔↔↔ 94701 11.4 .1 Accel SS S1 .2 Site .3 Max Fa Fv SMS SM1 .4 Desig SDS SD1 0.15 0.05 3.0532 1.1739 3.0532 1.1739 C C C 1.2 1.7 0.180 0.085 1.0 1.3 3.053 1.526 1.0 1.3 3.053 1.526 0.120 0.057 2.035 1.017 2.035 1.017 .5 Desig T0 0.094 0.100 0.100 Ts 0.472 0.500 0.500 1 1.000 1.000 1.000 TL 6.000 9.000 9.000 Sa 11.5 .1 Impor Occu II II II I 1 1 1 1 1 1 11.6 Seismic Design Category D Table 11.6-1A D Table 11.6-2A D D 12.8 EQUIVELENT LATERAL FORCE PROCEDURE .1 Seisic R 3 3 3.25 3.25 8 8 Cs 0.040 0.040 0.626 0.626 0.254 0.254 Cs,max 0.023 0.023 0.474 0.474 0.184 0.184 Cs,min 0.01 0.01 0.01 0.01 0.01 0.01 Cs,actua 0.023 0.023 0.474 0.474 0.184 0.184 .2 Perio Cu hn Ct x Ta min Ta/Cu Tmodel max Ta*Cu Tused k n 1.7 76.13 0.02 0.75 0.515 0.418 0.834 0.876 1.7 76.13 0.03 0.75 0.773 0.455 0.808 1.314 1.4 1.4 1.4 1.4 76.13 76.13 76.13 76.13 0.02 0.03 0.03 0.03 0.75 0.75 0.75 0.75 0.515 0.368 0.626 0.722 0.773 0.552 0.626 1.082 0.773 0.552 0.690 1.082 0.773 0.552 0.690 1.082 0.834 0.808 0.660 0.660 0.690 0.690 1.167 1.154 1.063 1.063 1.095 1.095 1.141 0.761 1.386 0.924 0.924 0.924 South Halls: “Building Z” Outline - Introduction - Structural Redesign [New Loads] [Computer Modeling] [OCBF] [-EBF-] - Mechanical Redesign - Conclusion OCBF EBF Torsion Analysis South Wing Story Level 06 - Roof 05 - Attic 04 - Fourth 03 - Third 02 - Second 01 - First Torsion Analysis SPEC_CA_yy_R-3.25 BF-1 SW point BF-8 NE point δA δb pt. 112.5 1527 144 109 144 344 144 238 144 190 138.5 169 pt. 2.1666 3915 1.9394 85 1.3984 313 0.8773 207 0.4663 60 0.0838 130 1.6735 1.5407 1.0060 0.6362 0.2540 0.0435 SPEC_CA_yy_R-3.25 North Wing δavg 1.9201 1.7400 1.2022 0.7567 0.3602 0.0637 Ax BF-4 SW point BF-12 NE point δA δb pt. 0.884 1527 0.863 109 0.940 344 0.933 238 1.164 190 1.204 169 pt. 2.1666 3915 1.9394 85 1.3984 313 0.8773 207 0.4663 60 0.0838 130 1.6735 1.5407 1.0060 0.6362 0.2540 0.0435 South Wing δavg Ax δavg Ax 1.9201 1.7400 1.2022 0.7567 0.3602 0.0637 0.884 0.863 0.940 0.933 1.164 1.204 1.9201 1.7400 1.2022 0.7567 0.3602 0.0637 0.884 0.863 0.940 0.933 1.164 1.204 drift (<.02*h) Cd * δstory 0.585 1.748 1.448 1.289 0.964 0.207 .02*h 2.250 2.880 2.880 2.880 2.880 2.770 Story Level 06 - Roof 05 - Attic 04 - Fourth 03 - Third 02 - Second 01 - First BF-1 SW point BF-8 NE point δA δb pt. 112.5 1527 144 109 144 344 144 238 144 190 138.5 169 pt. 0.8912 3915 0.8191 85 0.6477 313 0.4391 207 0.2272 60 0.0402 130 1.0945 0.9995 0.7912 0.5352 0.2706 0.0147 North Wing δavg 0.9928 0.9093 0.7195 0.4872 0.2489 0.0275 Ax BF-4 SW point BF-12 NE point δA δb pt. 0.844 1527 0.839 109 0.840 344 0.838 238 0.821 190 1.488 169 pt. 0.8912 3915 0.8191 85 0.6477 313 0.4391 207 0.2272 60 0.0402 130 1.0945 0.9995 0.7912 0.5352 0.2706 0.0147 δavg Ax δavg Ax 0.9928 0.9093 0.7195 0.4872 0.2489 0.0275 0.844 0.839 0.840 0.838 0.821 1.488 0.9928 0.9093 0.7195 0.4872 0.2489 0.0275 0.844 0.839 0.840 0.838 0.821 1.488 drift (<.02*h) Cd * δstory 0.334 0.759 0.929 0.953 0.886 0.110 .02*h 2.250 2.880 2.880 2.880 2.880 2.770