Changing Lives One Bridge at a Time
Volume 3: Suspended Pedestrian Bridge Part 1: Design and Analysis First Edion 2009
Foreword Bridges to Prosperity Suspended Bridge Manual Dear User:
Th f ths u hs b v 32 ys th kg. I 1977 Eg Rbt G tp t th Bgug Dstt Np t vw th b h susp bgs bg but by th s th. Hs pt tht fw uh pg pt by th Nps Gvt suppt by Hvts f Zuh, Swtz t h pt ths zg thgy swh swh Np. By th t 1990’s, th BBLL (Bug Bgs t th L Lv) h b f th st sussfu vpt fstutu pgs th w. Th y suss ws fw by pubshg th “Susp Sht Sp T Bg St Th Hbk Dwgs” 2002 whh ws fw by th p f 2,500 bg Np by 2008. Th pubshg f ths u wth Hvts gg t t u st -uty gs 2003: Z P Chs Rs. As w xp xp th Hvts uty ftbg pg t Af L A, t b ppt tht th g Hvts wgs t b vt t AutCAD, th us vt t vsu ft. Ths hgs v t y f s f tg, but s t w th us wgs t b sy pt t h w uty, wg f hgs tpgphy, tpgphy, vb sus, utu. Lk Hvts fu, t pubsh u k ths vght. Ev wth th gus jupstt tg tg v f Hvts Hvts Np, t tk us 8 ys t g th xp ssy t s s y txt, ths us w wys b wk pgss, g t u vw vs. Th vut, s, spss tht ths pssb t y t . But, I wu k t spy thk Pss Bkh (PB) f NYC f vg th Cs Dw uts t AutCAD, th Rty Cub f Nwpt Nws, 35 th Rty Cubs th Rty Fu, th vuts st th Bgs t Pspty sg t (Jy Jhs, Avy Bg, Z P, Chs Rs) tht tbut s y hus t k ths pssb. I th s spt tht w us t fy us th Hvts us, w hby th s. Ths u s g b fy p stbut. W wu wu sk, hwv, hwv, tht y hgs t th u t y sh wth Hvts Bgs t Pspty s tht w ght bt, but tht yu s k y w us hgs f vb t s w. Sy, Kth R. Ftz, Rt & Fu, Bgs t Pspty, I. 5007 C-126 Vty Bv. Yktw, VA VA 23693 www.bgstpspty.g
Volume Volu me 3: Suspended Suspended
Part Pa rt 1 Desi Design gn & Analysis Analysis
Introduction I 2003, Bgs t Pspty (B2P) st tv t Np t t wth th Swss gz Hvts t but th b-susp bg thgy. Dsg stu f th susp bg w tught t Hvts’ pph t ppty bg bug t th uty v. Ov th pst 6 ys, Bridges to Prosperity has introduced the
hghy t Susp Bg sg t uts f th thgy u th w. Th sgs u th Vu 3 Susp Pst Bg Mu gt wth th Hvts Np Sht Sp T Bg Th Hbk tht ws t wth v 30 ys f xp th utus gs f Np. Bgs t Pspty hs ut w th utu hgs s w hv tk th thgy f Ethp t Pu. Th sgs hv b pt t b sut th gv f wk. Bgs t Pspty hs stu ps xp xbty sg tvs sg pss ts t su th susp pst bg s y sustb p f us vyg tpgph ggph gs f th w. Th fu pts t Vu 3: Susp Pst Bg Mu, stutu s fws: Part 1:
Design and Material Quanes
Part 2: Construcon Plans Part 3:
Construcon Guide & Quality Control
Part 4:
Operaons & Maintenance
As wth y ut sg, usg ssups ust b by th g sg. Th fwg u w pt t pv bth ut wgs f us wthut gg sg gus f ths tst bg uss t v wth ths us. F futh sg g ssups f th Hvts Np Sht Sp T Bg Th Hbk, ty pt sg sts s w s y pt sg s sts.
Volume 3: Suspended
Part 1 Design & Analysis
Volume 3 Suspended Pedestrian Bridge Part 1: Design and Analysis Table of Contents
Section 1: Suspended Bridge: Design Background 1.1 1.2
Dsg Lgs Assups Lts
Section 2: Design Procedure 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 2.10
Ovvw Aby Lv Suvy Dw p & x bg fus St Cb Szs: Cb k-up t Cut Rqu Nub f Ts Fz Ps f Fus St T & Ahs Dsgs St Cstu Dwgs Cp t F Dwg Dsg Exp
Section 3: Material Estimate 3.1 3.2 3.3 3.4 3.5 3.6
Volume 3: Suspended
Cb & Cps St Rft B Ct Dkg Oth Mts Mt Qus Exp
Part 1 Design & Analysis
Section 1: Suspended Bridge Design Background 1.1
Design Loadings & Assumptions
Th fwg s ts bs ssups us by Bgs t Pspty wh fyg xtpg up th g bg sg. Thy t b f f -g sgs, s sgs y pt usg th fwg s ssups. Skp t S 2 f sg pss. 1.1.1 Liveloads
Bf stg th bg sg, vfy wth stutu g s gus. Th Bgs t Pspty st f v s 3.11 kN/² (65 b/²). As t AASHTO (1997), th v u f 4.07 kN/² (85 b/²) f kg s xg 400 squ ft s sstt wth ASCE 7-95, “Mu Dsg Ls f Bugs Oth Stutus.” Th u uts f th u pbbty f th g g f th stutu bg fuy t y gv s sstt wth th gs xpt f typ pst bg. Tt LL = 3.11 kN/, ssug 1.0 t wth 1.1.2 Dead Loads
Th s th su f sf-wghts f th bg ts. Bw s tb f ssu szs wghts, us B2P sg ts.
Tt DL = 0.321 kN/, ssug 1.0 t wth 1.1.3 Wind Loads (Overturning)
A w pp hzty t ght g t th gtu xs f th bg sh b pp t 1.676 kN/² (35 b/²). Th sp w pssus f w vty f 100 s p hu. I suh s st hs hgh w-vty quts: AASHTO A 3.15 (1997) y b f th . Gv th pjt p f th bg s 1.1 ts hght: th sug w vtu f s 1.843 kN/. Tt WL = 1.843 kN/, ssug 1.1 t g hght
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1.1.4 Load Combinaons
T ut th uuv v , h pssb b ust b hk t th xu tg s. Th fwg bs w b us, xtt f Tb 3.22.1A AASHTO (1997):
Futh ts f sg ssups y b f S 5.
1.2
Limitations
Th susp bg s t f psts, vstk y s t pb f ssg th 1.0 t w k wth. Wg th k up t 1.5 ts s pssb s w, but qus g vut th h, tw kg ps. It s tht y bys, s tbks b wk ss, but s ptb f ssg. Athugh th t w gs ppy s wth s sp, th s sg t f 120 ts wthut w guy stutus. Th gtu gty f th bg s ps by 120 ts wthut th t suppt. W guys sgty s th v st f th stutu s tw (2) bs fu (4) hs qu. Th sg gu s s t t 1.0 t k wths. Isg th k wth thby ss bth th v thf qus g t pt us. Futu s f ths u y u gt ub f tvs Futh, f st k s hs, th spg s s. Nt tht th g Hvts Np sg u th st k gs thf f st k s hs, sg g s ssy.
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Section 2: Design Procedure 2.1
Overview
Dsgg th susp b bg qus vy th bkgu. Th fwg s w pv stp by stp gu t sgg bg fwg th p f th st suvy s ut Volume 2 Feasibility & Topographic Survey . 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 2.10
Aby Lv Suvy Bg p & Fx Fu Ls Cut Rqu Nub f Ts Fz Ps f Fus St T & Ahs Dsgs St Cb Szs: Cb k-up t St Cstu Dwgs Cp t F Dwgs Dsg Exp
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2.2
Abney Level Survey
If t s y, pt bg p suvy usg Aby v. Rf Volume 2 Feasibility & Topographic Survey f pt ts.
2.3
Bridge Profile & Fix Foundation Locations
Ct p skth f th st suvy. Us pts ‘L’ ‘R’ f th suvy t k th py f th tws f th ght s spvy. Vfy tht th butt s th s f th bk wh fg w st, wt t ’s bk. D pts: • Sp ts. Nt f su btw ‘L’ ‘R’ f t -tw sp •
Hght btw ‘L’ ‘R’, f v t suvy sht
•
Nt s k typ th s
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2.4
Calculate Required Number of Tiers
A u s qu btw th wst pt th b th hghst pt tht th wt hs v h (HWL). Futh, th xu hght btw th tw tws ust b th th sp (L) v by 25, fu pt f th sp. If ∆H (th hght btw pts ‘L’ ‘R’)) xs ths ut, f th tws s t b s. T pv qut t quz s v btw tw ss, ust ut th qu ub f s; h s 1.0 t t s th v f th bg tws tt th v f th bs. I t ut th qu hght, th fwg f ust b kw; •
Span (L) ts (ust b ss th 120 ts)
As th suvy pts ‘L’ ‘R’ v t th ft f fu t ft f fu, stt by ssug 1.40 ts th s t u wkwy s t wkwy s sp. O wgs st, vfy th s. •
Height dierence (∆H) = Ev ‘L’ – Ev ‘R’
Stt by ssug tht h s hs , s th v f th wkwy tws s 1.40 ts bv ‘R’ ‘L’ spvy (1.0 t f , 40 f s pt, p th tw wg T1). Us th s v ssups tu s us th suvy: w s fu v = 100.00. •
Cable Design Sag (Bd) and Hoisng sag (Bh) (f N-Psth Cb)
Th b sg s th v p tht th b w p bw th wkwy ss. Th b s hst t ss sg th s sg bus th b s st, th sf-wght f th bg t th g w sghty stth th b. As suh, th wst pt s th sg sg, but th tu w pt tks bth t s. Less than 80 m 5.00% x L 4.00% x L
•
Greater than 80 m 4.55% x L 3.64% x L
Low point ‘f’
If bth ss qu hght (∆H = 0), th th w pt s ty th . If t, th Cut usg th fwg qu us th w pt tx th fwg pg.
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• Verify adequate Freeboard (Fb) Fb s th qu btw th wst pt th b th hghst pt f th wt. A g y u s th suggst fb vus wth st tpgph s, but f g pupss, u fb qu s s fws; - Mountainous gorges: 4.0 -5.0 meters - Flood Plains: 2.0 meters
Fb s v by tkg th w s v, subtg th sg vu ‘f’ subtg th v f th Hgh Wt Lv. If th vu f Fb s ss th qu, th sg ust s th ub f s th bth fus. Exp: A t vy suvy wth sp f 60 ts, pt ‘L’ 2.0 ts w th pt ‘R’, Hgh Wt Lv (HWL) t v 96.5 ts f th suvy; Low side elevaon = 101.40 meters Low point in cable (relave to low side) ‘f’ = 2.08 meters High Water Level (HWL) = 96.5 meters
Okay
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Finalize Position of Foundations A sg th ub f s qu, th sz f th fu ftpt s kw. Ths stp w vfy th yut sg. If ft f fu suvy pts ‘L’ ‘R’ ust b v, tk t t suvy t st. • Vfy qut sp g st f sp (Volume 2 Topographic Survey )
Soil
Rock
Mxu 35 g sp s or u 3.0 ts f g
Mxu 60 g sp k or u 1.5 ts f g
• Vfy sp ss th 120 ts btw ss • Vfy hght f tp f s (∆H) < L / 25 • Tk sp ut Dsg Sg, B. Vfy w pt ‘f’
• Cut Fb
• Vfy gt th u w
Flood Plains: 2.0 meters
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Mountainous gorge: 3.0 meters
Part 1 Design & Analysis
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2.6
Select Tier & Anchor Designs
Th tw typs f h sgs; Gvty Ahs Du Ahs. Gvty Ahs y b us y s k s thy y ‘wght’, t p v th h. As suh, th xv qu s sb. Du Ahs qu k s s thy y f btw th k f th pu t u. As suh, y h ftu k s ptb. S Volume 2: Feasibility & Topographic Survey f f. Gvty Ah ps spt t tw subtgs; 0 - 60 t sps, 61 - 120 t sps. Eh ss us (1), tw (2), th (3) tvs. A suy f Gvty Ah Ps fu Volume 3 Part 2: Suspended Bridge Drawings s fws: 0 - 60 1 T Gvty Ah 1G60 0 - 60 2 T Gvty Ah 2G60 0 - 60 3 T Gvty Ah 3G60 61 - 120 1 T Gvty Ah 1G120 61 - 120 2 T Gvty Ah 2G120 61 - 120 3 T Gvty Ah 3G120 Du Ah ps s spt t tw subtgs; 0 - 60 t sps, 61 - 120 t sps. N futh ss s s k hs t thsvs t th . Ths s u t th sht st btw th h th ss, qu u t sp k s. T s th ub f s wu qu t st h ppy futh bk t th k, thus sg uty. Th th szs f u hs; s, u g. S (0 - 40 ts) Mu (41 - 60 ts) hs u 1D60, Lg (60 -120 ts) y b fu 1D120. A suy f Du Ah Ps fu Volume 3 Part 2: Suspended Bridge Drawings s fws: 0 - 60 61 - 120
2.7
1 T Du Ah Rk 1D60 2 T Du Ah Rk 1D120
Select Cable Sizes: Cable Look-Up Tool
Bgs t Pspty t Ms Ex Cb Lk-up T, vb t th wbst t www. bgstpspty.g/sus. Th Cb Lk-up T qus th us t put th bkg stgth ( f t s bkg f) f vb b pus, bs y ub f b ub bs, utputs th xu sp wb f gv k wth. Bf usg th t, sh vb st b qust Pf Iv stg bkg stgths f gv bs. Th Cb Lk-up T ssus tht th b hs v g f 0.325% s t f us wth -pstth b.
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Step 1 Rsh vb b bkg stgths. If pt t ts kwts (kN), vt t pus usg th fwg shps:
Step 2 Iput Bkg Stgth vus ( pus) s ub f bs ( red txt).
Step 3 Mfy bs u s k wth hs vu t st s g s bg sp (yw). Exp: Iput 2 wkwy bs 2 h bs. Ty g wth 4 wkwy bs 2 h bs.
Step 4 Cut quty f b. Cs th sts f sv bs f b bf vg . O b s s by th f 500 ts, s f b qus sghty th 500 ts, t y b wth th st t s th sz f th b t u th ub f bs thus th tt qu gth. Cut th quty f b t ; wh th st btw hs, wth 14 ts 4 pt gy t ut f b sg wp-bk wth th hs. F th st vus f th Cstu Dwgs.
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2.8
Select Construction Drawings
F gv sp, gg s ub f s, tw (2) Abutt T & Ah wgs ust b st, f h s f th v. Th Tw wg ts th 1.0 t k wth tw s qu. Th (3) Dkg wgs ust b st f th 2 4 wkwy bs, wth tvs btw ssb s s spvy.
Abutt T & Ah (Rght L s qu) Gravity Anchors 0 - 60 1 T 1G60 0 - 60 2 T 2G60 0 - 60 3 T 3G60 61 - 120 1 T 1G120 61 - 120 2 T 2G120 61 - 120 3 T 3G120 Rock Drum Anchors 0 - 60 1 T 1D60 61 - 120 2 T 1D120 Tw
1.0 k wth
T1
Dkg P
2 wkwy bs 4 wkwy bs
W21 W41
Dkg S
2 wkwy bs 4 wkwy bs
W22 W42
Dkg Dt With Nailer
2 wkwy bs W23 4 wkwy bs wth N W43 No Nailer
2 wkwy bs N N 4 wkwy bs N N
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W24 W44
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2.9
Compile into Final Drawings
Cpt th bg sg by pg qu bg wgs g bg p f th pjt. Iu ss ug sp, pth f h, st t th bk f th h. St th fwg wgs; Gravity Anchor Right Side Gravity Anchor Le Side Tower 1.0 k wth Decking Plan Decking Secon Decking Detail With Nailer
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1G60 1G60 T1 W21 W22 W23
Part 1 Design & Analysis
15
2.10
Design Example
A p vy wth 60 t sp ws suvy. C pts f th suvy s fws: • Pt ‘L’ Ev (w s) = 100.0 ts • Pt ‘R’ Ev (hgh s) = 102.0 ts • HWL = 96.5 ts T ut th u ub f s, fy u fb (Fb) s gt th 2.0 t u s sp f vy. Stt by ssug (1.0 t hght pus 0.4 t s vg hght). Span
(L) = 60 ts
Elevaon low side walkway saddle = Elevaon high side walkway saddle = Height dierence (∆H) = Verify: Cable
Design Sag (Bd)
Low point ‘f’
Css f sp ∆H Dsg Sg Ev Cht = 2.08 ts
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Verify Freeboard ‘Fb’
Select Cable
Th b supp pv sps f 26 IWRC b wth bkg stgth f 30.0 t ts (68,343 pus). Usg th Cb Lk-up T, 4 wkwy k bs 2 h bs qu, s thy sut t 64 t sp.
Select Drawings
O , 60 ts ss Rght butt = 1G60 O , 60 ts ss L butt = 1G60 Tw Dwg= T1 Dkg P, 4 b = W 41 Dkg S, 4 b = W42 Dkg Dts, 4 b N = W43
Compile into Final Drawing
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Section 3: Material Estimate 3.1
Cable & Clamps
St st b bs th t bkg stgths, usg th Cb Lk-up T www. bgstpspty.g/sus. A sg th pu b, ut th quty t by upyg th ub f bs by th fwg qu:
Th quty f ps p b s pt th sz f th b th typ f p st. Th tb bw s th Bgs t Pspty st f tqu quts f p-fg b b ps t gv b p ts. Cb p uftu pv sps tht ust b v s ths ht s y gv s gu. Drop-forged clamps are of superior quality and must be purchased whenever possible .
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3.2
Steel Reinforcement Bar
Towers - 4 ps st b, 16 x 4.50 ts gth - (# f wkwy bs + 2) ps, 16 x 20
Decking Suspenders - (Tw th (Sp + 1) ps), 8 sth, ut t 1.80 Gravity Anchors - Sps 60 ts ss (S Mu) - 4 ps st b, 20 , 2.90 gth; - 11 squ gs, 10 , ut t 2.20 h, bt t squs 0.50 p s - Sps 61 -120 ts (Lg) - 8 stght bs, 20 , 2.90 gth; - 11 squ gs, 10 , ut t 3.35 h, bt t squs 0.80 p s Rock Drum Anchors - Sps 40 ts ss** - Ah s, 16 ps, 25 , ut t 1.50 ts - I u: 8 ps, 10 , ut t 3.40 ts, bt t 0.90 t - Out u: 8 ps, 10 , ut t 5.25 ts, bt t 1.50 t - Sps 41 - 60 ts - Ah s, 20 ps, 25 , ut t 1.50 ts - I u: 8 ps, 10 , ut t 4.15 ts, bt t 1.15 t t - Out u: 8 ps, 10 , ut t 5.90 ts, bt t 1.70 t t
- Sps 61 - 120 ts - Ah s, 40 ps, 25 , ut t 1.50 ts - I u: 8 ps, 10 , ut t 4.15 ts, bt t 1.15 t t - Out u: 8 ps, 10 , ut t 5.90 ts, bt t 1.70 t t
3.3
Cement
Qus gv wgs. Su tgth th qus f T & Ah wgs f bth L Rght butt th quty f th Tws. If t s t b us t xpt th ug , tk t t th v 28 y stgth u . It s t th s f f h pus. Th quty qu s sp th put.
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3.4
Decking
Bgs t Pspty hss t us w kg wh v w s vb p. Th tw typs f w kg tvs: wth wthut ‘’. Th ‘’ s th s wth s th kg ps, s h t th tp f th w ss-b t s th ut f suf vb f g th kg ps. Th ‘’ pvs stutbty ws f s ssb sz but ss th tt gth f kg ps qu. It s up t th sg g t f th st s wt. Nailer (Recommended)
No Nailer
Dkg ps ut t 3.0 ts f y sp v 60 ts pfby sps. If th bg s sht th 60 t sp, 2.0 t kg ps wb. Th tt ub f kg ps s qu t [sp v by gth f h b (th 2.0 3.0)] up by v (5), s th w b v kg ps ss, h 15 - 25 w. If ‘s’ t b us, (Sp pus ) ts f kg ps w b qu, ut t 1.0 ts. Cssbs: (Sp + 1) Dkg: (Sp / gth f h b (th 2.0 3.0) x 5) Ns (p): (Sp + 1)
3.5
Other Materials • Fxb Ps tubg: 5 t* • Fxb Ps tubg: 5 t* • Tyg W • Ns: 5” • U-s • Sws: 5/16 x 10 (4”) • A-sv pt • Fg: 1.50 hgh • Rg T • H Ss • Pt f tws • S/Gv • Msy Bk
3.5 t p b (Ah) 2.0 t p b (Tw) 10 kg 1 kg p t 1 kg p 10 ts 1 p k p 1 g (3.8 L) p 50 ts Bg sp x 2 4 gs 4 ps 6 gs
* The best product for this purpose is reinforced sucon tube used by water trucks.
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3.6
Material Quantities Example
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21
Bridge Name:
Bridge Location: Span: Material List All prices are estimations, prices can change at moment of purchase, always verify Item Cable and clamps
Unit
Cable 26mm Clamps 26mm
m piece
Cable 32mm Clamps 32mm
m piece
Construction Materials Cement (6.4 x volume for concrete, 1. 1 x area for mortar) Concrete Blocks = 40 x 20 x 15 (cm) Rebar 12mm (1/2") Rebar 16mm (5/8") Rebar 20mm (3/4") Rebar 25mm (1") Handrail saddles Walkway saddles - 2 cable Walkway saddles- 4 cables Tying wire Plastic suction tube 3" Roofing Tar Deck Wood crossbeams - (10cm x 10cm) x 140cm Wood nailing panels - (5cm x 20cm) x 100cm Wood crossbeams - (10cm x 20cm) x 140cm Wood platform - (5cm x 20cm) x 200cm Screw - 8mm x 10cm(nailing panel to crossbeam connection) Nails - 15cm Smooth iron bar 10mm (5/16") (suspenders) Smooth iron bar 12mm (1/2") (j-bolts) Anti-rust paint (suspenders) Anti-rust paint (j-bolts) Safety fencing = 1.5m in height U-shaped nails Tying wire Local Materials Sand Gravel River rock Dressed Stone Transportation Transportation of materials (City - City) Transportation of materials (City - Village) Transportation of materials (Village to site)
Units required
Estimat ed Unit Pric e
$
-
$
-
$
-
$
-
$
-
$
-
Estimated Sub-total for Labor $
-
Total $ Contingency 10% $ Total with 10% Contingency $
-
bags of 40kg unit (9m) (9m) (9m) (9m) unit unit unit kg mts gal
piece piece piece piece unit kg (9m) unit 0.5gal 0.5gal mts kg kg
m³ m³ m³ m³
per trip per trip per trip
Misc. Tools and Tool Rental Misc. Tools* (listed below) Tool rental (winch and/or drill) Labor and Technical Support Mason Carpenter Supervision Logistical Support Logistical Support
daily daily daily per visit per visit
Materials Quantity Estimate Pg 1