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Axial Tension
Maximum Size of Bolt Holes
Nominal Bolt Diameter
(mm)
Standard Hole Diameter
(mm),
Oversize Hole Diameter
(mm)
Short-Slotted Hole
(mm)
Long-Slotted Hole
(mm)
d < 12.7d + 0.8d + 1.6(d + 0.8) by (d + 6.4)(d + 0.8) by (2.5d)
d ≥ 12.7d + 1.6d + 3.2(d + 1.6) by (d + 6.4)(d + 1.6) by (2.5d)
Tension Member Design


Gross area
  Ag = Gross area of cross section.

Net Area
  Net area An of a member is the sum of the products of the thickness and the net width of each element.
    For a part in any diagonal or zigzag line, the additional quantity is:   s2.t / (4g)

  s = longitudinal center-to-center spacing (pitch) of any two consecutive holes.
  g = transverse center-to-center spacing (gage) between fastner gage lines.

Effective Net Area, Reduction-Shear Lag Coefficient (U)

  Bolts:
    Ae = An . U

  For angle members having two and more bolts in the line of force:    U = 1 - 1.2 x/L < 0.9,   but >= 0.4

  For channel members having two and more bolts in the line of force:    U = 1 - 0.36 x/L < 0.9,   but >= 0.5

  x - distance from shear plane to centroid of the cross section
  L - length of the connection in the direction of loading

  Welds:
  (a) When the tension load is transmitted only by longitudinal welds or by longitudinal welds in combination with transverse welds:
    Ae = Ag . U

  U - reduction coefficient = 1 - x/L <= 0.9
  Ag - gross area of member

  (b) When the tension load is transmitted only by transverse welds:
    Ae = A . U

  U = 1.0
  A - area of directly connected elements

  (c) Otherwise:

  for angle members:    U = 1 - 1.2 X/L < 0.9 but U >= 0.4

  for channel members:    U = 1 - 0.36 X/L < 0.9 but U >= 0.5

   x - distance from shear plane to centroid of cross section
   L - length of longitudinal weld

Design Strength for Tension Members:

  Yielding in the gross section: (Eq. C2.1-1)

     fTn = f.Fy.Ag= 0.90 Fy.Ag

  Rupture in the net section: (appendix B, C2.2)

     fTn = f. Fu.(Lc. t) = 0.75 Fu.(Lc. t)

    1). for failure normal to force due to direct tension
     Lc = Lt,     not involving stagger
     Lc = 0.9 Ls,     involving stagger

    2). for failure parallel to force due to shear
     Lc = 0.6 Lnv

    3). for failure due to block tear-out at end of member
     Lc = Lt + 0.6 Lv,      not involving stagger
     Lc = 0.9 (Lt + Ls) + 0.6 Lv,      involving stagger

    4). for failure of coped beams
     Lc = 0.5 Lt + 0.6 Lv,      not involving stagger
     Lc = 0.45 (Lt + Ls) + 0.6 Lv,      involving stagger

    Lv - the lesser of (Fy/Fu).Lgv and Lnv
    Lt - net failure path length normal to force due to direct tension
    Ls - net failure path length inclined to force
    Lgv - gross failure path length parallel to force
    Lnv - net failure path length parallel to force

Design Rupture Strength:

  Tension Rupture Strength for Welded Connection: (Eq. E2.7-1)

     fRn = f.Fu.Ae= 0.5 Fu.Ae

  Tension Rupture Strength for Bolted Connection: (Eq. E3.2-1)

     fRn = f.Fu.Ae= 0.55 Fu.Ae

Reference: AISI S100-2007


  Combined Bending and Tension C5.1.2

    1).        Mfx / (fb .Mnxt)+ Mfy / (fb .Mnyt) + Tf / (ft. Tn) < = 1.0

    2).        Mfx / (fb .Mnx)+ Mfy / (fb .Mny) - Tf / (ft. Tn) < = 1.0

      Mfx - factored moment about axis X
      Mfy - factored moment about axis Y
      Tf - factored shear force

      Mnxt = Sftx . Fy - Nominal flexural strength about axis X
      Mnyt = Sfty . Fy - Nominal flexural strength about axis Y
      Sftx - Section modulus of full unreduced section relative to extreme tension fibre about axis X
      Sfty - Section modulus of full unreduced section relative to extreme tension fibre about axis Y

      Mnx - Nominal flexural strength about axis X
      Mny - Nominal flexural strength about axis Y
      Tn - Nominal tensile strength

      fb = 0.9 - resistance factor for bending
      ft = 0.9 - resistance factor for shear