Analysis and Design of the Kingdom Tower Piled Raft Foundation

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1 Analysis and Design of the Kingdom Tower Piled Raft Foundation George Leventis, PE, Managing Principal, Langan Alan Poeppel, PE, Senior Principal, Langan

2 Project Team Owner: Jeddah Economic Company and Kingdom Holdings, Jeddah KSA Architect: Adrian Smith + Gordon Gill Architecture, Chicago, USA Structural Engineer: Thornton Tomasetti, Chicago, NYC, USA Civil, Geotechnical, Traffic, & Parking Engineer: Langan International, NYC, USA, Dubai, UAE Building Systems: EDS, Chicago, USA, Dubai, UAE Piling Contractor: Saudi Bauer Rendering Jeddah Economic Company/ Adrian Smith + Gordon Gill Architecture

3 Kingdom Tower Site Location Rendering Jeddah Economic Company/ Adrian Smith + Gordon Gill Architecture

4 Building Height Raft Area Total Gravity Load Total Pressure Piles Raft Basic Statistics 1,000+ m 3,200 sq m 860,000 tonnes 2.65 Mpa 270 No. 1.5 m dia 32 MN avg service load 4.5 m to 5 m thick

5 Boring Location Plan

6 Summary of Field and Lab Tests Borings 50 Core Samples 2,377 Pressuremeter Tests 187 Packer Tests 28 P-S Suspension Logging Electrical Resistivity Tomography (ERT) 3 Borings 12 x 200-m lines

7 General Subsurface Conditions Buildings <0.5 to 2 m thick: Silty Sand (SM) 45 to 50 m thick: 20 m Coral Limestone Vuggy Coralline Limestone 40 m Tall 2 to 10 m thick: 60 m Mudstone / Gravel on 80 m Interlayed in base of limestone Council 100 m Gravel / Conglomerate 120 m 35 to 50 m thick: Decomposed Sandstone 140 m 160 m Sandstone 3 to 9 m thick: Gravel and Conglomerate 180 m Up to 200 m: 200 m Sandstone Mudstone / Gravel Decomposed Sandstone

8 Vuggy Coralline Limestone

9 Mudstone and Gravel Inclusions

10 Sandstone

11 Rock Compressive Strength Strata Range Average Median Limestone Decomposed Sandstone Summary of UCS Values (MPa) Sandstone

12 Elevation (m) E (MPa) ,000 1,500 2,000 2,500 3,000 3,500 4,000 ROCK STIFFNESS Sandstone ACES PMT E0 E50 from instrumented UCS ACES PMT Er

13 Full Scale Field Load Tests Substantiate Rock Bearing Capacity Substantiate Individual Pile Capacity Side resistance and deformation modulus of coralline limestone and decomposed sandstone Evaluation of Constructability (especially of deep elements)

14 Footing Load Test

15 Footing Load Test Load Settlement Plot MOBILIZED BEARING PRESSURE = 3.3 MPA

16 Full Scale Pile Load Test

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18

19

20 Pile Load Test Mobilized Skin Friction in Limestone using Natural Slurry 0 5mm 10mm Displacement 0 2mm 5mm Displacement ULIMATE SIDE = 500 SHEAR (Kpa) ULIMATE SIDE = 500 SHEAR (Kpa)

21 Design Modulus of Deformation

22 Foundation Design

23 Geotechnical Capacity of Limestone Ultimate Bearing Capacity Type of Loading Factor of Safety Allowable Bearing Capacity 2.5 MPa Gravity MPa 2.5 MPa Transient MPa

24 Geotechnical Capacity of Single Pile, Ultimate Side Shear 45 m Depth Type of Loading Factor of Safety Geotechnical Pile Allowable Capacity 450 kpa Gravity MN 450 kpa Transient MN

25 Soil-Structure Interaction FEM Analysis

26 General Foundation Configuration 1. Fully Piled Foundation bored piles m diameter m thick structural raft (6 m deep depression at the center and 5 m thick at the edges) 2. Initial Pile Lengths: 45 m 3. Estimated Average Load on the Pile: 32 MN

27 Flexible Foundation Foundation Response Settlement Stress Distribution Rigid Foundation

28 Soil-Structure Interaction Model Determine critical parameters such as: Raft geometry Rock Modulus of deformation Locations, geometry of piles Soil/pile interface properties Shear strength End bearing capacity Stiffness

29 Iterative Process General Steps Structural Engineer Column Loads Foundation Settlements Winkler Springs Structural Deformation New Winkler Springs, New Foundation Settlements Geotechnical Engineer

30 Structural System Credit: Thornton Tomasetti

31 210,000 Tonnes 260,000 Tonnes 200,000 Tonnes 190,000 Tonnes Credit: Thornton Tomasetti

32 Typical Loading Conditions Soil/Foundation/Structure Self Weight Column/Wall loads as Point Loads Line Loads Pressure Loads Credit: Thornton Tomasetti

33 Geotechnical Finite Element Model 200 m

34 Foundation and Geologic Profile Material E (Mpa) n γ (kn/m3) ϕ c (kpa) Coraline Limestone +4 to Coraline Limestone -10 to Coraline Limestone -40 to Coraline Limestone -47 to Gravel -54 to Decomposed Sandstone -60 to Decomposed Sandstone -90 to to Sandstone -110 to to 1, Sandstone -125 to Pile parameters E=36,700 Mpa Diameters: 1.5m and 1.8m Termination elevation: -44 Ultimate side shear stress: 0.5 Mpa

35 First Settlement Prediction 108 mm 173mm Angular Rotation: 1:900

36 Multi-Step Winkler Spring Adjustment ITERATION 1 ITERATION 2 SPRINGS SPRINGS 125 ITERATION 3 SPRINGS

37 Geotech Pile Loads and Vertical Stresses on Rock Under Raft RIGID FOUNDATION

38 Observed Increased Wall Stresses at the Wings Wing Stress/ Center Stress = 2.25:1 Credit: Thornton Tomasetti

39 Final Analyses/Design D=1.5M, L=45M D=1.5M, L=65M D=1.5M, L=85M D=1.5M, L=105M D=1.8M, L=45M

40 FEM Cross-Section

41 Settlement Contour Progression as Wall Load Changed

42 Converged Settlement Contours LANGAN LANGAN AND TT CONVERGED WITHIN 5 MM 93 TT 83

43 45m ITER 0 Raft Settlement Plots 108 mm 102 mm 173mm 106 mm 45m/65m/85m/105m ITER 0 85 mm 80 mm 105mm 83 mm Compare foundation response without any iterations The 45m scheme leads to significant redistribution of wall loads The deeper scheme leads to minor redistribution

44 Converged Pile Loads (MN) LANGAN TT Note: Pile loads taken at bottom of raft

45 Bearing Pressure Contours

46 Vertical Strains Block Behavior

47 Wall Stresses Wing Stress/ Center Stress = 1.6:1 Credit: Thornton Tomasetti

48 Axial Pile Loads for Converged Models 45m long pile scheme 45m/65m/85m/105m

49

50

51

52

53 Final Remarks The geotechnical model governs the ground settlements. The iterative process gives insight on the redistribution of column/wall loads. The geotechnical engineer does not have to attempt to model the stiffness of the superstructure. The redistribution is more pronounced when the superstructure is stiff compared to the foundation. The redistribution necessitated stiffening the foundation by using longer piles at the center. The longer piles are not needed for increased soil bearing capacity, they are needed to alleviate the increased outer wall stresses in the superstructure.

54 In Memory Dr. Khaldoun Fahoum, PE, PhD

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