Loading...
Specifications (44) 1\ CAck\c"Q4 GREEN friOUNTnIN RECEIVED structural engineering FEB 1 4 2019 CITY OF TIGARD * STRUCTURAL CALCULATIONS for 1700 Plan Willow Brook, Lot 25 Tigard, Oregon Contractor: Pacific Lifestyle Homes (61,3.sx.„60) Sept 7R030"8:1 ;iv 119 lYt , A 4 OR EGO fPe /4. Pr. 17 V Ike 41, AND . Expires: December 31, 2019 Project Number: 18531 January 31, 2019 Index Structural Information Lateral Analysis L-1 thru L-1 1 Framing Analysis F-1 thru F-8 greerimountainse corn info@greenmountainse cam-4857 NW Lake Rd., Suite 260,Camas,WA 98607 GREEN MOUNThIIN Ile structural engineering STRUCTURAL DESIGN INFORMATION GOVERNING CODE: 2015 International Residential Code(IRC) 2015 International Building Code(IBC) This engineering pertains to the design of the Lateral Force Resisting System and a review of the home designer's framing and foundation plans. The home designer is responsible for making any necessary changes as required by these calculations to their framing and foundation plans. 1. Dead Load: A. Roof 15 psf B. Floor 10 psf C. Exterior walls 10 psf D. Exterior walls with veneer 50 psf E. Interior walls with gypboard each side 5 psf 2. Floor live load: 40 psf 3. Snow load: A. Uniformly distributed snow load on roof 25 psf 4. Wind load—based on ASCE 7-10 CH 27 MWFRS Directional Procedure: A. 3 Second Gust Wind Speed V=140 mph B. Exposure B C. Importance factor I= 1.0 D. Topographical Factor Kzt=1.0 E. Wind Directional Factor.. Kd=0.85 F. Structure classified as enclosed 5. Seismic load—based on ASCE 7-10 Section 12.14: A. Mapped Spectral Acceleration for short periods Ss=1.0 B. Mapped Spectral Acceleration for 1 second period S1=0.34 C. Soil Site Class D D. Ductility coefficient R=6.5 E. Seismic Design Category D 6. Foundation St#Properties: A. Undisturbed sandy silt per IBC 2015 Table 1806.2 Soil Class#5 B. Maximum vertical bearing pressure 1500 psf 7. Retaining wall lateral loads: A. Walls free to displace laterally at top 40 pcf B. Walls restrained against lateral displacement at top 45 pcf 8. Concrete: A. 28 day design strength F'c 3000 psi B. Reinforcing bars ASTM A6I5,Grade 60 A tio GREEN MOUNTIIIN PROJECT: PLH - 1700 DATE: 12/19/2018 BY AMA structural engineering JOB NO: 18531 SHEET: L-1 LATERAL SEISMIC DESIGN BASED ON ASCE-7-10 16175 Simplified analysis procedure for seismic design of buildings SEISMIC BASE SHEAR 1.2•SDS (EQ.12.14-11 with F=12) V:= R SS mapped spectral acceleration for S5 := 1.00 short periods(Sec.11.4.1) from USGS web site mapped spectral acceleration for S� := 0.34 1 second period(Sec.11.4.1) Fa Site coefficient(Table 11.4-1) Fa'- 1'1 Based on Soil F„ Site coefficient(Table 11.4-2) F := 1.8 Site Class D SMs:= Fa•Ss SM5 =1.1 (Eq.11.4-1) SM1 := F„-Si SMI = 0.61 (Eq.11.4-2) 11.4.43 Design spectrum response acceleration parameters 2 SDS := 3'SMS SDs= 0.73 > 0.50g SEISMIC 2 CATEGORY SDI := 3•SMI 501 = 0.41 > 0.20g D per Table 11.6-1 12 SDs WOOD SHEAR PANELS V:_ •W R:= 6.5 R 1.2.0.73 V:= •W V:= 0.135•W 6.5 12.4 Seismic Load Combinations E:= 1.3•V (Eq.12.4-3 with redundancy factor=1.3 per 12.3.4.2) WSD:= 0.7•E 0.7.1.3-0.135 W 0.123•W WOOD SHEAR PANELS . PLH - 1 00 PROJECT. 7 GREEK M4UNTIMf. AMA BY: structural engineering 12�19�201g DATE: . .w. _, . JOB NO: 18531 SHEET: L-2 LATERAL _ n ,•n ��. __ .. .. _ . SIMPLIFIED WIND AND SEISMIC COMPARISON WIND Iikkh.11 psf psf -=., > Wind E;,ase Ht Shear / __:_,k_ < Length L:= 62-ft Height Ht := 22-ft WIND := L•Ht•(11•psf + 7•psf) WIND = 245521b SEISMIC Fr Wroof Wwall eisn-iiic Ease Shear Aroof 62•ft•40•ft Wwalls 4.9.ft•40-ft SEISMIC:= (Aroof•15•psf + Wwalls'10•psf)•0.123 SEISMIC= 6346.8 lb WIND GOVERNS DESIGN GREEN M O U N T n I N PROJECT: PLH - 1700 111110 Structural engineering DATE: 12/19/2018, . 2018 BYAMA __. , ..�..,� _, JOB NO: 1$531, SHEET L-3- ,_.. LATERAL WIND DESIGN IS BASED ON ASCE 7-10 CH.27 MWFRS DIRECTIONAL PROCEDURE VELOCITY PRESSURE q,:= .00256•KZ•Krt•Kd•V2•I EXPOSURE B WIND SPEED(3 second gust) Vas := 140 mph IMPORTANCE FACTOR I := 1.0 TOPOGRAPHICAL FACTOR KZt := 1.0 WIND DIRECTIONAL FACTOR Kd:= 0.85 EXPOSURE COEFFICIENT 0'-15' K,:= 0.57 qz:= .00256•KZ•Kit•Kd•V352•I qZ= 24.31 (varies/height) 15'-20' K,:= 0.62 q2:= .00256•KZ•Krt•Kd•V3,2.1 qZ= 26.44 20'-25' K,:= 0.66 qz:= .00256•KZ•KZt•Kd•V352•I q2= 28.15 25'-30' KZ:= 0.70 qZ:= .00256•KZ_KZt-Kd•V3s2•I qZ= 29.85 WIND PRESSURE P:= g2•G•Cp G := 0.85 Gust factor CP pressure coefficient For Working Stress Design Multiply WIND PRESSURE by 0.6 per IBC 1605.3.1 AT WALLS 0'-15' WINDWARD P,,:= 0.6 24.31•psf•0.85.0.8 P,,= 9.92 psf LEEWARD PL := 0.6.24.31•psf•0.85.0.5 PL = 6.2 psf 15'-20' WINDWARD P,:= 0.6.26.44•psf•0.85.0.8 P,,,,= 10.79 psf LEEWARD Pi_:= 0.6.26.44•psf•0.85.0.5 Pi_ = 6.74 psf AT ROOF 15'-20' WINDWARD P„,:= 0.6.26.44•psf•0.85.0.3 PH,=4.05 psf LEEWARD PL:= 0.6-26.44•psf•0.85.0.6 PL = 8.09 psf 20'-25' WINDWARD PH,:= 0.6.28.15•psf•0.85•0.3 P,,=4.31 psf LEEWARD PL := 0.6.28.15•psf•0.85.0.6 PL = 8.61 psf GPROJECT:IOW PLH 100 AMA structural engineering DATE: 12/19/2018 BY: .. JOB NO: 18531 SHEET: L-4 LATERAL _..� ..._.. WIND DESIGN IS BASED ON ASCE 7-10 CH.27 MWFRS DIRECTIONAL PROCEDURE 4.05 Cp-0. 8.09 Assume psf psf 'I ti 4p--O 6 0 := 35 fir' 9.92 6.2 psf psf I windward leeward Mean Roof Height 9 + 24 = 16.5 2 Loads at Roof roof Windward 4.05•psf•10-ft =40.5 plf Leeward 8.09•psf•10•ft= 80.9 plf Wall loads at main level Windward 9.92'psf•4.5•ft=44.64 plf Leeward 6.2•psf•4.5•ft= 27.9 plf GREEN M O U I`I TSI I N PROJECT: PLH - 1 00 DATE: 12/19/2018 BY AMA structural engineering __ .. ....... L-5 JOB NO: 18531 SHEET: LATERAL . ......p. �__ WIND ON ROOF 234 73 73 Y vWay.=153.If - y 71 K oa co • ■■ 1 < , 1, __, K K K .._ Q ., , , O) ,___ „..___ , , , , __,_ , _____ K , , K ._, , A E __ C PROJECT PLH - 1700 structural engineering DATE: 12/19/2018 BY: AMA JOB NO: 1$531 L-6 LATERAL rw SHEET: WIND ON MAIN LEVEL 4046 1 I it �J 1 61 T r- ;l1 R p [I \„, I ,I A 0 I ^ CO O O ro , L , 11O ,..0 1 rr, i ) .),... , I, 6014> _i I� , I 1 ' ' I 2134 > GREEN MOUNThI11 PROJECT PLH - 170or_ structural engineering DATE: 12/19/2018 3 � BY AMA JOB NO: 18531 SHEET: L-7 LATERAL ..Fl �m_.....�® SHEAR WALL DESIGN Pdl f dl +dl \i" r i 1 ( ) P:= wind V:= seismic h R=Hol down Force Based on Basic Load Combinations 0.6D + 0.6W 0.6•D + 0.7•E Overturning Moment: Mot := P•h ( Resisting Moment: Mr := 0.6•(Wdi + Wwall)• 22 + 0.6•Pdi•L Mot — Mr Holdown Force R L Ilk GPROJECT: PLH - 1700 111111, DATE: 12/19/2018 BY: AMA structural engineering Yr rvF LATERAL JOB NO: 18531 SHEET .L $ Shear Walls at Right Elevation Wind Force P:= 3600•Ib P= 36001b Length of wall L:= 5ft + 6ft + 12ft+ 20ft L=43ft P A Shear v:= — v= 83.72plf L 5 Overturning Mot := P•9•ft•— Mat = 3767.44 lb•ft Moment 43 (5.ft)2 Resisting Mr:= 0.6•(15•psf•21•ft+ 10•psf•9•ft)• 2 + 0.6.400•Ib•5•ft Moment Mr =4237.5Ib•ft Holdown Mat - Mr Force - -94.01 lb 5•ft Shear Walls at Left Elevation Wind Force P:= 3600-lb P= 3600 lb Length of wall L:= 16•ft+ 7ft+ 29ft L= 52ft P Shearv:_ — v= 69.23 plf A L 7 Overturning Mat := P•9•ft•-52 Mat =4361.54 Ib•ft _ _ Moment (7.ft)2 Resisting Mr:= 0.6•(15•psf•21•ft+ 10•psf•9•ft)• 2 + 0.6.400•Ib•7ft Moment Mr= 7633.5lb•ft Holdown Mat - Mr --467.42l b Force 7•ft C R E E N M O U N T A I 7 PROJECT: PLH - 1700 AIWA 111110 structural engineering E 12/19/2018 DAT JOB NO: 18531 SHEET: L-9 LATERAL Shear Walls at Rear Elevation Wind Force P:= 4046-lb P=40461b Length of wall L:= 3.5ft•3 + 4•ft L= 14.5 ft P Shear v:= — v= 279.03 plf C L 4 Overturning Mot := P•9•ft =10045.24 lb•ft Moment 14.5 (4-ft)2 Resisting Mr:= 0.6•(15•psf•3•ft + 10 psf-9-ft)• 2 + 0.6.400•Ib•4•ft Moment Mr= 1608 lb-ft Holdown Mot - Mr - 2109.31 lb HTT4 Force 4-ft Shear Walls at Front Elevation Wind Force P:= 2134•lb P= 21341b Length of wall L:= 1.5•ft•3 L=4.5ft P Shear v:= — v=474.22 plf D 1.5 Overturning Mot := P•9-ft•— Mot = 6402 lb-ft Moment 4.5 (1.5-ft)2 Resisting Mr:= 0.6•(15-psf•3•ft+ 10.psf•9•ft.) 2 + 0.6.400•Ib•1.5•ft Moment Mr =451.12 lb•ft Holdown Mot - Mr = 3967,25 lb STHD14 Force 1.5ft GREEN M O U N T A I N PROJECT: PLH - 1700 DATE: 12/19/2018 BY: AMA IOW structural engineeringrt �. _�� .. JOB NO: 18531 SHEET: L-1O LATERAL .,..�.ri. ,me .�, Shear Walls at Rear Elevation of Garage Wind Force P:= 6014-lb P= 6014 lb Length of wall L:= 12ft+ 15ft L= 27ft P Shear v:= — v= 222.74 plf B L 12 Overturning Mot := P•9•ft•— Mot = 24056lb•ft Moment 27 (12 ft)2 Resisting Mr:= 0.6 (15•psf•6•ft + 10.psf-9-ft)• 2 + 0.6.600•Ib•12•ft Moment Mr= 12096lb•ft Holdown Mot - Mr Force = 996,67 lb 12•ft C R E E N M O U N T h I N PROJECT PLH - 1']00 201H AMA 1111Y structural engineering DATE 12/19/ 18 20BY: JOB NO: 18531 SHEET: L-11 LATERAL _..� .._u�.._ Determine Diaphragm Shear&Deflection 0 First Floor: Seismic Force FPx <_ 0.4•Sds•I•Wp (ASCE 7-1012.10-3) SDS:= .73 I := 1.0 WSD FPx := 0.7.0.4-SEG FPx := 0.2 wax WDL:= 15•psf IA/seismic W•w 0.2 w = 120 If W40•ft •– DL' seismic plf := 40•ft w-- seisrric force 7/8" PLY a` .r` 10 D NAILS 6" 0 EDGES _ �� `—f--" 12" 0FIELD AL W :— wseismic' tl 2 ir ----__ " A f v W v= 60 plf / L / SHEAR: Per SDPWS 2015 Table 4.2C 7/8" UNBLOCKED DIAPHRAGM vaiiowed 215•plf > v= 60plf QED : BLOCKING NOT REQUIRED DEFLECTION: Per SDPWS: 42-1: v= 60plf A:= (1.5•in)•(5.5•in) Area of chord cross section L= 40 ft E:= 1400000•psi Modulus of elasticity of chords lb W=40 ft GA:= 85-- (Table 4.2C) in EAcx:= 2•[0.03125•(16•in + 32-in + 32•in + 16•in)] EAcx = 6in Breyer CH.a8 5•v•L3 \ (in� 0.25•v•L (EAcx)ft A := • — + + A = 0.15 in �8•E•A•W, ft) 1000•GA 2•W GREEN MOUNTnIN PROJECT:IOW PLH - 1700 12/19/2018 BY structural engineering DATE: AMA JOB NO: X8531 SHEET: F-1 FRAMING ROOF LOADS ALL ROOF OPTIONS ARE SIM Wd = 15psf WI = 25psf I 1 ■ [I / / Q/ a/ 0 0 co / co / inem i i 7 ; i H V n GREEN MOUNT�IIN PLH - 1,00 PROJECT: 12/19/2018 AMA structural engineering DATE: BY. JOB NO: 18531 SHEET: F-2 FRAMING TRACK ROOF LOADS 16 I i I rt] r 11 bb I 0 1 1 1 1 J 1 i 1 GREEN MOUNTAIN PROJECT: PLH - 1700 structural engineering 12/19/2o18 AMA DATE: ____By:____, JOB NO: 18531 SHEET: F-3 FRAMING 0 260p1f ROOF 4x8 X V V V V A 6' 796 796 0 280 If ROOF 4x10 �,/ V V V VV p /� 10' 1434 1434 11) 840 If ROOF 4x8 X �/V V V p 3' /� 1268 1268 Project: T j StruCalc 9.0 page Location: 1 Multi-Loaded Multi-Span Beam of [2015 International Building Code(2015 NDS)] ;;r- 3.5INx7.25INx6.0FT #2-Douglas-Fir-Larch(North)-Dry Use StruCalc Version 10.0.1.6 12/19/2018 9:40:53 AM Section Adequate By: 171.9% F-4 Controlling Factor: Moment DEFLECTIONS Center LOADING DIAGRAM Live Load 0.03 IN L/2745 Dead Load 0.02 in Total Load 0.04 IN L/1655 Live Load Deflection Criteria: L/240 Total Load Deflection Criteria: L/180 REACTIONS A B Live Load 480 lb 480 lb Dead Load 316 lb 316 lb Total Load 796 lb 796 lb Bearing Length 0.36 in 0.36 in w BEAM DATA Center Span Length 6 ft Unbraced Length-Top 0 ft 6 n Unbraced Length-Bottom 6 ft Live Load Duration Factor 1.15 Notch Depth 0.00 UNIFORM LOADS Center MATERIAL PROPERTIES Uniform Live Load 160 plf #2-Douglas-Fir-Larch(North) Uniform Dead Load 100 plf Base Values Adjusted Beam Self Weight 5 plf Bending Stress: Fb= 850 psi Fb'= 1271 psi Total Uniform Load 265 plf Cd=1.15 CF=1.30 Shear Stress: Fv= 180 psi Fv'= 207 psi Cd=1.15 Modulus of Elasticity: E= 1600 ksi E'= 1600 ksi Comp.-I-to Grain: Fc-1= 625 psi Fc--- = 625 psi Controlling Moment: 1194 ft-lb 3.0 Ft from left support of span 2(Center Span) Created by combining all dead loads and live loads on span(s)2 Controlling Shear: -796 lb At right support of span 2(Center Span) Created by combining all dead loads and live loads on span(s)2 Comparisons with required sections: Redd Provided Section Modulus: 11.28 in3 30.66 in3 Area(Shear): 5.77 in2 25.38 in2 Moment of Inertia(deflection): 12.09 in4 111.15 in4 Moment: 1194 ft-lb 3247 ft-lb Shear: -796 lb 3502 lb Project: y ,StruCalc 9.0 page Location:2 - , Multi-Loaded Multi-Span Beam of [2015 International Building Code(2015 NDS)] u"r 444 3.5 IN x 9.25 IN x 10.0 FT #2-Douglas-Fir-Larch(North)-Dry Use StruCalc Version 10.0.1.6 12/19/2018 9:41:33 AM Section Adequate By: 36.1% F-5 Controlling Factor:Moment DEFLECTIONS Center LOADING DIAGRAM Live Load 0.11 IN L/1095 Dead Load 0.07 in Total Load 0.17 IN L/687 Live Load Deflection Criteria: L/240 Total Load Deflection Criteria: L/180 REACTIONS A B Live Load 900 lb 900 lb Dead Load 534 lb 534 lb Total Load 1434 lb 1434 lb Bearing Length 0.66 in 0.66 in w BEAM DATA Center Span Length 10 ft Unbraced Length-Top 0 ft loft Unbraced Length-Bottom 10 ft Live Load Duration Factor 1.15 Notch Depth 0.00 UNIFORM LOADS Center MATERIAL PROPERTIES Uniform Live Load 180 plf #2-Douglas-Fir-Larch(North) Uniform Dead Load 100 plf Base Values Adjusted Beam Self Weight 7 plf Bending Stress: Fb= 850 psi Fb'= 1173 psi Total Uniform Load 287 plf Cd=1.15 CF=1.20 Shear Stress: Fv= 180 psi Fv'= 207 psi Cd=1.15 Modulus of Elasticity: E= 1600 ksi E'= 1600 ksi Comp.-I-to Grain: Fc-1= 625 psi Fc- = 625 psi Controlling Moment: 3586 ft-lb 5.0 Ft from left support of span 2(Center Span) Created by combining all dead loads and live loads on span(s)2 Controlling Shear: 1434 lb At left support of span 2(Center Span) Created by combining all dead loads and live loads on span(s)2 Comparisons with required sections: Req'd Provided Section Modulus: 36.69 in3 49.91 in3 Area(Shear): 10.39 in2 32.38 in2 Moment of Inertia(deflection): 60.5 in4 230.84 in4 Moment: 3586 ft-lb 4879 ft-lb Shear: 1434 lb 4468 lb Project: p; f 4StruCalc 9.0 Page Location:3 v • Multi-Loaded Multi-Span Beam of [2015 International Building Code(2015 NDS)] 3.5 IN x 7.25 IN x 3.0 FT #2-Douglas-Fir-Larch(North)-Dry Use StruCalc Version 10.0.1.6 12/19/2018 9:42:08 AM Section Adequate By: 176.1% F-6 Controlling Factor: Shear DEFLECTIONS Center LOADING DIAGRAM Live Load 0.01 IN L/5856 Dead Load 0.00 in Total Load 0.01 IN L/4156 Live Load Deflection Criteria: L/240 Total Load Deflection Criteria: L/180 REACTIONS A B Live Load 900 lb 900 lb Dead Load 368 lb 368 lb Total Load 1268 lb 1268 lb Bearing Length 0.58 in 0.58 in w BEAM DATA Center Span Length 3 ft Unbraced Length-Top 0 ft Unbraced Length-Bottom 3 ft Live Load Duration Factor 1.15 Notch Depth 0.00 UNIFORM LOADS Center MATERIAL PROPERTIES Uniform Live Load 600 plf #2-Douglas-Fir-Larch(North) Uniform Dead Load 240 plf Base Values Adjusted Beam Self Weight 5 plf Bending Stress: Fb= 850 psi Fb'= 1271 psi Total Uniform Load 845 plf Cd=1.15 CF=1.30 Shear Stress: Fv= 180 psi Fv'= 207 psi Cd=1.15 Modulus of Elasticity: E= 1600 ksi E= 1600 ksi Comp.1 to Grain: Fc-1= 625 psi Fc-1'= 625 psi Controlling Moment: 951 ft-lb 1.5 Ft from left support of span 2(Center Span) Created by combining all dead loads and live loads on span(s)2 Controlling Shear: 1268 lb At left support of span 2(Center Span) Created by combining all dead loads and live loads on span(s)2 Comparisons with required sections: Req'd Provided Section Modulus: 8.98 in3 30.66 in3 Area(Shear): 9.19 in2 25.38 in2 Moment of Inertia(deflection): 4.81 in4 111.15 in4 Moment: 951 ft-lb 3247 ft-lb Shear: 1268 lb 3502 lb GREEN MOUNTAIN PROJECT: PLH - 1 00 11111r structural engineering DATE: 12/19/2018 BY AMA JOB NO: 18531 F-7 SHEET: FRAMING FOUNDATION LOADS 7 1 1 I N j 1 1 Z I- / N1 I� ' II A II 1. _-._........__ _ / ink 1 Ili 11 II L i ��I II Ili TI u - II 0 111. 1i e) 1 \ i , I) ' 1� II 1', \/Anh ill 1\ 9 11 I� 1 \ A - - Il I I ii I SII In/ II 'I IMI IIi 4 I i I Dc L, , I E .-) e GREEN PROJECT: PLH — 1700 4W structural engineering DATE 12/19/2018 _ BYAMA JOB NO: 1$531 SHEET: F-8 FRAMING Foundation Design Soil Bearing Pressure SBP:= 1500-psf (assummed) continuous foundation footing 12 inches wide with a 6 inch stem that is 18 inches tall. total engaged area Allowed Load A:= (18•in + 6•in + 18-in)-12•in A= 3.5 ft2 I Allowed Load SBP•A= 5250 lb MEE in. Size Area Capacity 18" diameter A:= 9•in•9•in•3.14 Pail := 1500•psf•A Pall = 2649.4 lb 24" diameter A:= 24•in-24-in-3.14 Pall := 1500•psf•A Pall = 18840 lb 24"x24" A:= 24•in•24•in Pall 1500•psf•A Pall = 6000 lb 28"x28" A:= 28-in•28-in Pall 1500•psf•A Pall = 8166.7 lb 30"x30" A:= 30•in•30•in Pall := 1500-psf-A Pall = 9375 lb 32"x32" A:= 32•in-32-in Pail := 1500•psf•A Pall = 10666.7 lb 36"x36" A:= 36•in•36•in Pail := 1500-psf-A Pall = 13500 lb 42"x42" A:= 42•in•42•in Pall := 1500•psf-A Pall = 18375 lb 48"x48" A:= 48•in•48•inPall := 1500•psf-A Pall = 24000 lb Continuous Footings: 12 inch wide: Capacity 1500 psf X 12 inches= 1500 plf , GREEN MOUNTIAIN PROJECT: PLH - 1700 IOW • DATE: 12/19/2018 BY:structural engineering AMA 18531 F-8A JOB NO: SHEET: . .. . ... ... FRAMING . . 5 , , , 5 . . J0157 g a A R lni 6 e..- p010.14.g.71 tAi! ccOatigg re, !A/A L . .i .-., ..i. ! . . . ' - KioTcHED =5(LI- inkr Pri-5 ; = ; 5k.„1.4 = kr.)1 es Or 1 ' i i ! , . .. '.. - 1-0 ' ' 1 . , a. - • , •. 40AS./. r -t----"---1- 1 ; 4------f- .----4- ! •;-.— i ;= ; eifAP' : , ; , , ; ; i , , , — , . ; 9tAttu kt.c."....: rit.6 4L. . t ' i : ! i ; 5i4 1 i I ---t'--7--- 1-- - ,- 2,Y2," tvg 13e-Ikadw§! -' i le.f/ - 1. ; •• -4- +- 4:----4 '', -4---- -4- ---4- -4- ---4 t „ - •'' .....--40. ' ----;---+---f------t•------i----- --it--- i .-",-----7----tt—-t"--------4--i----7---1--1-•-±-1—t•-•- 5-i e.r•A , ; — ; , . , i i 1 i i i i i i t i it SEGT(014, e Po c 1 .e r . i ' Ii . ,..'iii,„„ 1 , ,.ii , - i , = ! ; ! , It , , 1 i ,, i ,!, ilt : .! t , — , .. ! = 1 . = 1 , , re- . i0 i c,-, . , ge-Ac-ri. ...i 15' ...A 2 •x 56 rlp F,i ..., g ., .i , 7 , , ip X 12e 24 ' f • = i , w 6 p,5- 6; i 1 i : MA-y• ,P4-t4 k )5 " ! T > t i 1 ip1)21, ... : gDP 45 : 4 .5,..._. : 5 ' — = — 4 V..5..P ."'"' 12 1 1 k I ; 1 i ; ..--7- , , __!...„;_i_ - : it Pi:4{ TSI C, 2 fl 0 C. ,,,__ -_a , . z= , ,-- I- 1-- -1- -7 - - -1--- -1- 1 - ----t----h-------- rn-eW 5 p a se1 i 15" ori e... 2.,1( . 0071trig --i--- , • . , tu 1 , , t = • ; ; i ; = ; ;;. . , ) a ; ' '4x5 e- 32 0 , . .. . ..,..„, 4-- ! or) •i i n 1„.........tak _4....1 5 , . , , , ,, , , , 1 i ! , • 1 " f • ' ' i , ; , , '---4-4,- , 11