Evaluation of Horizontal Displacement of Long Piles Subject to Lateral Loading in Sandy Soil
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1 195 ; ; ; Evaluation of Horizontal Displacement of Long Piles Subject to Lateral Loading in Sand Soil J Keshavarz J Bolouri Bazaz Abstract In man structures, the applied lateral loads are comparable with gravit loads These tpes of piles which are subject to high lateral load are usuall divided into two categories including long and short piles The general methods to estimate lateral bearing capacit of short and long piles are based on ultimate bearing capacit and allowable horizontal displacement respectivel In the present research, in order to evaluate lateral bearing capacit of piles subjected to horizontal loads, steel pipes which were embedded in sand soil to simulate piles in the laborator A wide range of laborator tests were performed to investigate the behavior of long piles with different lengths and diameters The test results were compared with three different theories including Modulus of Subgrade Reaction, Elastic and k hmax approaches The experimental results reveal that k hmax approach is more suitable for determination of horizontal displacement and also estimation of lateral bearing capacit for long piles Ke Words Long piles, Lateral load, Horizontal displacement, Cohesionless soil 9/2/ 9/2/1 bolouri@umacir :
2 66 Christensen[11] Prasad and Chari [8] 1 12 : 1/8 1 2 Zhang et al [12] [1] (Fix Head Kumar et al [1] (Free Head p- [2-8] Murugan et al [1] [1] [9] [1] 195
3 67 (kpa E s (m [19] 2 n h (kn/m [1] 1 L/T L/T 2 [ ] 1 K K r > 1-2 r < 1-2 [1] 2 ( L/B>6 S H > 5 L/B<6 [] S H < 5 [16] L > BK 6 L < BK 6 [17] 5 L > L C L > L C / [18] 6 k h k h p d EI p dx : (6 T K S r (E 2 P I P / n h (E I / E B P P 25 H (L / B(E P / E s K L (E / E P s 25 c (E PI P / Es s T ( ( (5 d dx kh EI EI x p (7 (5 ( (K ( (S H K r (L c [16] (9 I P (kpa L n h (m E P B (m (kn/m
4 68 n h Q T (9 T (kn (m Q E s g N x h [1] Q N h (18 g L 2 E s N h =n h (I ph F p e I L pm ( k h I pm / F p N h E s I ph (17 n h (18 X A g : EI Q T g BEI 2 M T x Z T L T k T h EI A Z max B A B B (x (1 : ( B A (1 (11 (12 (1 (1 ( A g e Qg : M g Z max Q g (1 (12 Z (11 (x [2] x A Q T g EI B M T g EI 2 (16 /2 k h [9] B A 1/62 2/5 (z= =2 k h [21-2] k hmax k h 52 k h max 8 (19 EI
5 Q g k hmax [2] 1667B ( (2 [2] k hmax k hmax (ksf ( [25] k h (21 n h =k h Q g EI A T Q g T (21 A =25 k hmax [9] 1 (kn/m 18 (% ( E s (MPa 16 (
6 7 6 8 ( (kg/m (GPa (mm (mm [1] [26] 2 [26] 27 [26]
7 K hmax 71 Al-L*D* Ga-L*D* Al Ga L D (cm (16-21/7 (mm Ga-L-D kn/m kn/m ( 8 6 (9 ( (7 Sub-Re (9 Elastic Sub-Re(nh ( 27 2
8 72 Test No: Ga-L8-D Kh max (min Method Kh max (max Method = kn/m Displacement (mm (9 Test No: Ga-L8-D217- Elastic Method Sub-Re Method Sub-Re (nh Method ( 6 2 = kn/m Displacement (mm 5 ( ( Test No: Ga-L8-D217-1 Kh max (min Method Kh max (max Method = kn/m Displacement (mm 6 Test No: Ga-L8-D27- Elastic Method Sub-Re Method Sub-Re (nh Method (6 (5 21/7 2 = kn/m Displacement (mm (5
9 7 Test No: Al-L8-D22- Kh max (min Method Kh max (max Method (6 7 8 (7 22 Test No: Al-L8-D28- Elastic Method 25 Sub-Re Method Sub-Re (nh Method 1/ = kn/m Displacement (mm 9 (8 2/8 6 8 (1 (9 =18 kn/m 1 7
10 7 6 ( (1 (1 8 6 (16 ( = kn/m Test No: Al-L8-D28-5 Test No: Al-L6-D28- Test No: Al-L-D Displacement (mm kn/m ( ( (12 2/8 27
11 /8 kn/m = kn/m 6 (19 1/8 ( Test No: Ga-L8-D27- Test No: Ga-L8-D Displacement (mm kn/m /8 ( = kn/m Test No: Al-L6-D28 F= (Vertical position F=12 N F=2 N F=28 N Horizontal displacement (mm 21/7 6 16
12 76 2 Ga- Ga-L-D217 Ga-L6-D27 Ga-L-D27 L6-D (7 1/8 6 Test No (kn/m (mm Al-L-D22 1 Al-L6-D Al-L8-D22 17 Al-L-D28 1 Al-L6-D28 Al-L8-D28 1 Ga-L Ga-L8-D Label Ep Es Broms Poulos & Davis Bierschwale Dobr Davies & Budhu Poulos & Hull kn/m GPa MPa L/T Kr L/B SH BK 6 Lc Ga-L-D Ga-L6-D Ga-L8-D Ga-L-D Ga-L6-D Ga-L8-D Al-L-D Al-L6-D Al-L8-D Al-L-D Al-L6-D Al-L8-D
13 77 ( ( (11 (9 6 (
14 Poulos, HG and Davis, EH, "Pile Foundation Analsis and Design", John Wile and Sons, New York, NY, (198 2 Hansen B, J, "The Ultimate Resistance of Rigid Piles Against Transversal Forces", Danish Geotech Institute, Bull, Copenhagen 12, pp 5-9, (1961 Broms, B, "The Lateral Resistance of Piles in Cohesive Soils", J Soil Mech Found Div, ASCE, Vol 9, No SM2, pp 27-6, (196a Broms, B, "The Lateral Resistance of Piles in Chesive Soils", J Soil Mech Found Div, ASCE, Vol 9, No SM, pp 12-6, (196b 5 Petrasovits, G and Award, A, "Ultimate Lateral Resistance of a Rigid Pile in Cohesionless Soil", Proc, 5 th European Conf on SMFE, Madrid, Vol, pp 7-12, ( Meerhof, G G, Mathur, S K and Valsangkar, A J, "Lateral Resistance and Deflection of Rigid Wall and Piles in Laered Soils", Canadian Geotech J, Vol 18, pp 9-7, ( Meerhof, G G, "Behaviour of Pile Foundations Under Special Loading Conditions", Canadian Geotech J, Vol 2, pp 2-22, ( Prasad, VSN and Chari, T R, "Lateral Capacit of Model Rigid Piles in Cohesionless Soils", Japanese Geotechnical Societ, Vol 9, No 2, pp 21-29, ( Reese, L C and Matlock, H, "Non-Dimensional Solutions for Laterall Loaded Piles with Soil Modulus Assumed Proportional to Depth", 8 th Texas Conference on Soil Mechanics and Foundation Engineering, Austin, TX, pp 1-1, ( Kumar, S, Lalvani, L and Omar, M, "Nonlinear Response of Single Piles in Sand Subjected to Lateral Loads Using Khmax Approach", Geotechnical and Geological Engineering Journal, Springer, Vol 2, pp ( Christensen, N H, "Model Tests with Transversall Loaded Rigid Piles in Sand", Danish Geotech Ins, Bull Copenhagen, No 12, pp 1-16, ( Zhang, L, Silva, F and Grismala, R, "Ultimate Lateral Resistance to Piles in Cohesionless Soils", JGeotech Geoenviron ASCE, Vol11, pp 78-8, (25 1 Murugan, M, Natarajan, C and Muthukkumaran, K, "Behavior of Laterall Loaded Piles in Cohesionless soils", J Earth Science and Engineering, Vol, No 6 SPL, pp1-16, (211 1 Boominathan, A, Aothiraman, R, "An Experimental Stud on Static and Dnamic Bending
15 79 Behavior of Piles in Soft Cla", Geotechnical and Geological Engineering, Springer, Vol 25, pp , (27 Bierschwale M, Cole H and Bartowkewitz, R, "Lateral Load Tests on Drilled Shafts Founded in Cla", Drilled Piers Caissons ASCE, pp 98-11, ( Dobr, R, Vicente, E, O'Rourke and Roesset, JM, "Horizontal Stiffness and Damping of Single piles", J Geotech Eng Div ASCE, Vol 18, pp 9-59, ( Davies, T and Budhu, M, "Nonlinear Analsis of Laterall Loaded Piles in Heavil Over Consolidated Cla", Geotechnique Vol 6, pp , ( Poulos, H G and Hull, T, "The Role of Analtical Geo-mechanics Current Principles and Practices", ASCE, Vol 2, pp , ( Terzaghi, K, "Evaluation of coefficient of subgrade reaction", Geotechnique, Vol 5, pp , ( Seed, HB and Idriss, I M " Soil moduli and damping factors for dnamic response analses", Report EERC 7-1, Earthquake Engineering Research Center, Universit of California, Berkele ( Mwindo, JM, "Strain Dependent Soil Modulus of Horizontal Subgrade Reaction", MS Thesis, Universit of Missonri, Rolla, Mo, ( Kumar, S, "Non-Linear Load De ection Prediction of Single Piles in Sand Using a Subgrade Reaction Approach", MS Thesis, Universit of Missouri, Rolla, MO, (199 2 Prakash, S, and Kumar, S, "Nonlinear Lateral Pile De ection Prediction in Sands", Journal of Geotechnical Engineering, ASCE, Vol 122, No 2,pp 118, ( Blane, G W and ONeill, M W, "Measured Lateral Response of Mass on Single Pile in Cla", Journal of Geotechnical Engineering, ASCE, Vol 11, No11,pp 12612, ( Movahedifar, M and Bolouri-Bazaz, J, "An Estimation of Passive Pressure Against Integral Bridge Abutments Considering Arching Effects ", ACTA Geotechnica Slovenica, Vol 1, No 1, pp 19-1,(21 " " (191 26
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