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          p 24
        
        
          
            Chapter 2
          
        
        
          Helical Foundation Systems
        
        
          
            CHAPTER 2
          
        
        
          HELICAL FOUNDATION SYSTEMS
        
        
          
            2.7.1 Individual Bearing Method
          
        
        
          The individual bearing method (Adams and Klym
        
        
          1972; Hoyt and Clemence 1989) states that the
        
        
          ultimate pile capacity is equal to the sum of the
        
        
          individual helix plate capacities. Spacing of the
        
        
          helix plates along the shaft is generally 3 times
        
        
          the diameter of the leading plate, the uppermost
        
        
          helix plate is embedded to a depth of at least
        
        
          5 diameters, and skin friction along the shaft is
        
        
          generally ignored for shaft sizes less than 6 inches
        
        
          in outside diameter.
        
        
          Figure 2.7.1.a
        
        
          illustrates the
        
        
          load transfer mechanism for the individual bearing
        
        
          method in compression loading.
        
        
          Helical pile capacity by the individual bearing
        
        
          method can be calculated from:
        
        
          
            Q
          
        
        
          
            u
          
        
        
          
            = ∑A
          
        
        
          
            h
          
        
        
          
            (cN
          
        
        
          
            c
          
        
        
          
            + q’N
          
        
        
          
            q
          
        
        
          
            + 0.5γBN
          
        
        
          
            γ
          
        
        
          
            )
          
        
        
          Where,
        
        
          
            Q
          
        
        
          
            u
          
        
        
          = Ultimate Pile Capacity (lb)
        
        
          
            c
          
        
        
          = Cohesion at Helix Depth (lb/ft
        
        
          2
        
        
          )
        
        
          
            q’
          
        
        
          = Effective Vertical Overburden
        
        
          Stress at Helix Depth (lb/ft
        
        
          2
        
        
          )
        
        
          
            γ
          
        
        
          = Soil Unit Weight (lb/ft
        
        
          3
        
        
          )
        
        
          
            B
          
        
        
          = Diameter of Helix Plate (ft)
        
        
          
            A
          
        
        
          
            h
          
        
        
          = Area of Helix Plate (ft
        
        
          2
        
        
          )
        
        
          
            N
          
        
        
          
            c
          
        
        
          
            , N
          
        
        
          
            q
          
        
        
          
            , N
          
        
        
          
            γ
          
        
        
          = Dimensionless Bearing Capacity
        
        
          Factors
        
        
          The last part of the equation that includes the helix
        
        
          diameter (B) is often ignored in the calculation of
        
        
          end-bearing capacity of deep foundations. The
        
        
          diameter or width of the pile is relatively small and
        
        
          therefore this portion of the equation contributes
        
        
          little to the overall pile capacity. With that portion
        
        
          of the equation conservatively ignored, the
        
        
          equation further simplifies to:
        
        
          
            Q
          
        
        
          
            u
          
        
        
          
            = ∑A
          
        
        
          
            h
          
        
        
          
            (cN
          
        
        
          
            c
          
        
        
          
            + q’N
          
        
        
          
            q
          
        
        
          
            )
          
        
        
          For purely cohesive soils
        
        
          with
        
        
          Φ
        
        
          = 0 and c = s
        
        
          u
        
        
          (soil undrained shear strength), N
        
        
          c
        
        
          ≈ 9 and N
        
        
          q
        
        
          =
        
        
          1. The equation can conservatively be rewritten
        
        
          again as:
        
        
          
            Q
          
        
        
          
            u
          
        
        
          
            = ∑A
          
        
        
          
            h
          
        
        
          
            (9c)
          
        
        
          For purely granular (frictional) soils
        
        
          with c = 0,
        
        
          the equation can be rewritten as:
        
        
          
            Q
          
        
        
          
            u
          
        
        
          
            = ∑A
          
        
        
          
            h
          
        
        
          
            (q’N
          
        
        
          
            q
          
        
        
          
            )
          
        
        
          Bearing capacity factors N
        
        
          c
        
        
          and N
        
        
          q
        
        
          are typically
        
        
          provided in foundation design textbooks and these
        
        
          values may not be appropriate for use in helical
        
        
          pile design. Research has shown that N
        
        
          q
        
        
          may not
        
        
          only be a function of the soil friction angle, but also
        
        
          pile embedment depth, pile type and installation
        
        
          method (drilled, driven, etc.). Unfortunately, there
        
        
          has been little research to investigate how N
        
        
          q
        
        
          might
        
        
          vary for helical piles. Since helical piles are generally
        
        
          considered low-displacement to displacement piles
        
        
          due to the helix plates and shaft, one could theorize
        
        
          similar N
        
        
          q
        
        
          values as determined by Meyerhof
        
        
          (1976) for driven piles, with a reduction to account
        
        
          for soil disturbance created by the helix plates.
        
        
          Foundation Supportworks recommends N
        
        
          c
        
        
          and N
        
        
          q
        
        
          bearing capacity factors calculated by the following
        
        
          equations and shown graphically in
        
        
          Figure 2.7.1.b
        
        
          :
        
        
          
            N
          
        
        
          
            c
          
        
        
          
            = (N
          
        
        
          
            q
          
        
        
          
            – 1)cotΦ ≥ 9
          
        
        
          
            N
          
        
        
          
            q
          
        
        
          
            = 1 + 0.56(12Φ)
          
        
        
          
            Φ/54
          
        
        
          These values of N
        
        
          c
        
        
          and N
        
        
          q
        
        
          are slightly lower and
        
        
          therefore more conservative than the values
        
        
          typically provided in textbooks.
        
        
          Figure 2.7.1.a
        
        
          Individual Bearing Method