ANCHORED PILED RETAINING WALL

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Brook Harvey
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1 Soil Profiles End of excavation Ground Water Soil Profile Layer S.E. (m) c (kn/m³) ø ( ) C (kn/m²) Ka Kp H (m) Soil Soil Soil Soil Stiff Soil Ground Water Elevation : Wall and Pile Properties 15 m Section H = 10 m J= º D = 8 m J = 0 º 10 Ep= 2E+08 kn/m2 Hpile = 18 m

2 Pile plan a = 120 cm R = 120 cm ΣP Pp -2 Ix= m4 Pa -4 Ap= m² Ø120 Ø120 Ø Surcharges -20 Uni.Load Qu (kn/m²) Strip Load Q1 (kn/m²) Q2 (kn/m²) X1> 0 X2< Line Load QL (kn/m) SURCHARGES PRESSURES ΣQ

3 Anchorages H = 10 m z (m) R (kn) ä (mm) M (knm) V (kn) # Anchors = E E 11 0 h (1) = 1.5 m h (n) = 0.5 m h (2,3,..,n 1) = m ANCHOR LOAD (kn) DISPLACEMENT(mm) E Max Anchor Elev. i ( ) Lu.(m)

4 MOMENT(kNm) SHEAR (kn) Anchor Design sf = 1.5 T = 200 kn/m2 Pp = 350 kn (Project Load) P : Anchor Load Lb = P. sf / [ ð. d. T ] Lb : Load transfer length d : Diameter of grout annulus T : Working bond stress table 1 sf : Safety factor ð : 3.14 Str.Dia. (in) Aps (mm2) fpu (N/mm2) 0.60.fpu.Aps ANC. d (mm) Pult (kn) Lb.(m) select Lb L Strands table 1 Soil / Rock Type Empirical Bond Stress Value [ T ] kn/m2 Cohesive Soil 100 Sand 150 Gravel 200 Weathered Marl, Chalk, Soft Shales Soft Limestone, Slates, Hard Shales, Sandstone Dolomite Limestone Granite, Basalt

5 D CHECK Dcalc. = Pv. Sf / [ Aph. T ] Pv : Uplift Load D : Load transfer length R : Diameter of Pile T : Working bond stress Sf : Safety factor table 1 Sf = T = 100 kn/m2 Material >> Name Pv.fem Psel. 0 anc anc anc anc anc anc anc anc anc Dsel = 8.00 m R = 1.20 m Aph = m² Dcalc. = 0.92 m Dsel > Dcalc OK Head Beam Material : Concrete fcd Hbeam = kn/m² fcdt Hbeam = 1340 kn/m² Steel fyd Hbeam = kn/m² Pile Material : Concrete fcd pile = kn/m² fctd pile = kn/m² Steel fyd pile = kn/m² Strut Beam Material : Concrete fcd Sbeam = kn/m² fcdt Sbeam = 1340 kn/m² Steel fyd Sbeam = kn/m²

6 Pile Head Beam Reinforcement Concrete Calculations Longitudinal Reinforcement Bbeam = 140 cm Hbeam = 100 cm d = 7.5 cm d = 92.5 cm Acb = 0.21 m² Rmax = kn/m Md = knm md = 2057 ñm = Top/Bottom of the Beam Calc. Asb = Select Asb = cm² cm² Top : 18Ø26 OK Bottom : 18Ø26 OK Transverse Reinforcement Vd = Vmax 1.5 Vmax = kn/m Vd = kn Vcr = 0.65 fctd Ac fctd = 1340 kn/m² Vcr = kn Vc = 0.80 Vcr Vc = kn Vws = Asw d fywd / s Vws = kn Vd = Vws + Vc Vd > Vd (?) Vd = kn Ø10/25 OK Ø Ø26 Ø10/25

7 Pile Reinforcement Concrete Calculations Longitudinal Reinforcement d pl = D pl d pl D pl = 12 cm M d = M Pmax a 1.5 D pl = 5.0 cm d pl = M Pmax = Mmax + Mfailure = m d = M d / (0.85 f cd A c D) p = M ax ( p m ; m d ) A s = ñ A c / ( f yd / (0.85 f cd )) a = M d = cm knm/m 1.20 m knm A cp = m² f cd = m d = ρ m = f yd = kn/m² kn/m² Calculation A sc = cm² Selection A ss = cm² 46Ø36 OK ρb = 41 M b = knm V cr Transverse Reinforcement V d = V Pmax a 1.5 VPmax = V max + Vfail.anc = kn/m V d = kn = 0.65 f ctd A c f ctd = kn/m² V cr = kn V c = kn V c = 0.80 V cr V ws = A sw d f ywd / s V ws = kn V d = V ws + V c Vd > Vd (?) V d = kn Ø20/7 OK 46Ø36 Ø20/7

8 Beam Reinforcement Concrete Calculations Longitudinal Reinforcement d pl = D pl d pl B beam = 35.0 cm H beam = 6 cm d = 3 cm d = 32 cm A cb = m² 2S = R max = 2.1 m kn/m Q d = Qult = Rmax / (2S.H23) Q d = kn/m M d = Mmax =Vmax S Qult S/2 md = Md / (0.85 fcd b d^2) A s = p m b d / (f yd / (0.85 f cd )) M d = m d = ρ m = knm Calculation A sb = 19.2 cm² Side of the Pile Selection A sb = 29.5 cm² 6Ø25 OK Calculation A sb = 12.8 cm² Side of the Excavation Selection A sb = 19.6 cm² 4Ø25 OK Transverse Reinforcement V d = V max a 1.5 V max = kn/m V d = kn V cr = 0.65 f ctd A c f ctd = 134 kn/m² V cr = kn V c = 0.80 V cr V c = kn V ws = A sw d f ywd / s V ws = kn V d = V ws + V c Vd > Vd (?) V d = kn Ø16/20 OK 4Ø25 6Ø25 Ø16/20

9 Quantities Wall Length : 85.5 m. WL A Hpile TP=WL/A TL=TP.Hpile m m m # m Bars Bar Numb. Bar Dia. Unit B.L. Unit B.W. BW Total BW 0 # mm m Kg/m Kg Kg Pile Long. 46 Ø Pile Trans. 15 Ø Head Beam L. 36 Ø Head Beam T. 8 Ø Strut Beam L 6 Ø Strut Beam L 4 Ø Strut Beam T 5 Ø Concrete Numbers Length Area Volume Total CV 0 # m m2 m3 m3 Pile Head Beam Strut Beam Str. Dia Str. Dia Unit W. Fixed L. F.L. Dia. Grout in mm Kg/m m m m Anchor Anc.Numb. Full L. Total Strands Tot. Str. L. Tot. Str. W. 0 # m m # m Kg Totals :

Bending and Shear in Beams

Bending and Shear in Beams Lecture 3 5 th October 017 Contents Lecture 3 What reinforcement is needed to resist M Ed? Bending/ Flexure Section analysis, singly and doubly reinforced Tension reinforcement,