Design of Drilled Shafts in Expansive Soils

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1 Design of Drilled Shafts in Expansive Soils Robert L. Lytton Professor, Fred J. Benson Endowed Chair Zachry Department of Civil Engineering Texas A&M University Foundation Performance Association Houston, Texas December 14, 2011

2 Question: How do you convert the usual data from a Soils Lab report into information you can use to design a drilled shaft? 2

3 What kind of data is in the usual Soils Lab report? Answer: Atterberg limits, Liquid limit, LL Plasticity index, PI Water content, w Dry unit weight (density) of the soil, d Strength Unconfined compressive strength, psi, tsf Pocket penetrometer, tsf Vane shear strength, tsf 3

4 What kind of information do you need to design a drilled shaft? Answer: Volumetric water content, Effective friction angle, Matric suction, pf Skin friction factor, Some in the movement active zone Some in the anchor zone 4

5 UPLIFT REINFORCING MOVEMENT ACTIVE ZONE ANCHOR ZONE

6 Load SHRINKAGE MOVEMENT ACTIVE ZONE ANCHOR ZONE BEARING CAPACITY

7 What conditions do you need to design for? Uplift (soil gets wetter) Bearing capacity (soil gets drier) 7

8 What other soils information will you need and where do you get it? Thornthwaite moisture index (for deep water tables) (map of TMI) Water content, Atterberg limits, dry unit weight, strength at or below the water table (for shallow water tables) Boring Log Natural resources conservation service county soil map 8

9 Thornthwaite Moisture Index (TMI, 1948) TMI 100R 60DEF E p R = runoff moisture depth DEF =deficit moisture depth Ep = evapotranspiration 9

10 Depth Suction Distribution with Depth (-) Suction Ground Surface Wet Season Equilibrium Dry Season 10

11 11

12 12

13 13

14 Soil Survey of Harris County, Texas Lake Charles series 14

15 Lake Charles series, cont. 15

16 Soil Survey of Harris County, Texas Engineering properties and classifications 16

17 Soil Survey of Harris County, Texas Engineering test data 17

18 Soil Survey of Harris County, Texas Profile of Lake Charles clay 18

19 Geotechnical Study Report No E Plan of Borings 19

20 Geotechnical Study Report No E Log of Boring No. B-1 20

21 Geotechnical Study Report No E Log of Boring No. B-2 21

22 Steps in Design Calculations Strength and suction Depth of the movement active zone Depth of the anchor zone Size of the bell Short term loading Long term loading Reinforcing steel and size of shaft 22

23 Strength and Suction Input (in movement active and anchor zones) Atterberg limits Water content Dry unit weight Unconfined compressive strength in psi, tsf, or psf Skin friction stress coefficient Output (in movement active and anchor zones) Effective friction angle Volumetric water content Total unit weight Present matric suction Future matric suction Skin friction stress 23

24 Design Parameters for Drilled Piers in Clay 24

25 Design Category Parameter A.1 A.2 B.1 B Side Shear limit, tsf A: straight-sided shafts B: belled piers * From Reese, Touma, and O Neill 25

26 Correlation between and PI 26

27 Effective Friction Angle, = PI, % PI, %

28 Total Unit Weight, lb/ft 3 t = dry unit weight (1 + w) Volumetric Water Content dry unit weight, lb/ft 3 = w unit weight of water (62.4 lb/ft 3 ) 28

29 Matric Suction, stress units Matric suction unconfined compressive strength 2 1 sin f sin 29

30 Skin Friction or Side Shear Stress "Skin friction" = ( fh m ) sin cos 1 sin (compare with limiting side shear) 30

31 Calculation Strength and Suction 31

32 Depth of the Movement Active Zone Input Initial pf Total unit weight (from strength and suction tab) Final suction (from Thornthwaite Moisture Index) Estimated percent fine clay (USDA NRCS county soil map) Output Depth of movement active zone 32

33 Calculation Depth of the Movement Active Zone 33

34 Formation of Suction vs. Pressure vs. Volume Surface 34

35 Equation of a Horizontal Path on the Surface V V = hlog h f h i log f i At the depth of the movement active zone V V = 0 35

36 Percent Volume Change z i z i 80 cm z i 2.63 ft Below this depth, pressure reduces volume change z A (depth of movement active zone) 36

37 Depth of the Movement Active Zone, z A z A, ft = z i ( h i ) ( h) h f 37

38 Ratio of Volume Change Coefficients h = Sw S: slope of the suction vs. water content curve w: water content 38

39 Estimate of Sw Sw = pf (% fine clay) 39

40 Design Procedure for Pavements on Expansive Soils Report

41 Depth of the Anchor Zone Input Depth of the movement active zone Skin friction stress (from strength and suction tab) Trial diameter of pier shaft Output Depth of the anchor zone Depth of pier Maximum tensile force in pier shaft Required area of reinforcing steel 41

42 Reinforcing Steel Bonded reinforcing Crack width Debonding length Bonded reinforcing The smaller the bars The smaller the debonding length The smaller the crack width 42

43 Minimum size of pier shaft Minimum spacing Minimum cover Minimum size bars 43

44 Required Percent Steel P % steel = 4 d s u M f y c f y P Af y d = diameter of shaft, in s M u = side shear in the movement active zone, lb/in 2 f y = yield strength of the reinforcing steel, ksi A = cross sectional area of the shaft, in 2 P = minimum load at the top of the pier, kips 44

45 Reinforcing Steel Input Required area of steel Steel cover Steel spacing Select Reinforcing bar size Output Number of reinforcing bars Minimum pier shaft diameter 45

46 Calculation Reinforcing Steel 46

47 Size of the Bell Input Maximum load on pier Depth of movement active zone Depth of anchor zone Skin fiction stress in the anchor zone Long term bearing capacity factor of safety Short term bearing capacity factor of safety Output Diameter of bell Short term loading Long term loading Minimum diameter of pier shaft 47

48 Load SHRINKAGE MOVEMENT ACTIVE ZONE ANCHOR ZONE BEARING CAPACITY

49 Calculation Size of the Bell 49

50 Steps in Design Calculations Strength and suction Depth of the movement active zone Depth of the anchor zone Size of the bell Short term loading Long term loading Reinforcing steel and size of shaft 50

51 Design of Drilled Shafts in Expansive Soils Robert L. Lytton Professor, Fred J. Benson Endowed Chair Zachry Department of Civil Engineering Texas A&M University Foundation Performance Association Houston, Texas December 14, 2011

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