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Capacity of wood column calculator

Jonathan Ochshorn

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Directions: Select wood species and grade (or enter values for modulus of elasticity, E, and allowable stress, Fc, after setting "Species" for "Other"), wet service conditions, duration of load factor (CD), and effective column height for both axes (unless braced at different points, both heights should be the same -- see Fig. 1). Press "update" button.

See additional explanations and examples in my text. The duration of load factor, CD, for common proportions of dead and live loads is 1.0. For other combined loads (e.g., snow and dead load), see text for further details.

Note that the size factor adjustment (CF) should not be included in the allowable stress value entered, as it is already included in the calculations for each column size. The combined values of allowable stress and size factor for Southern Pine have been accounted for.

The x-axis refers to the "strong" axis of bending, except in the case of 3-2x4's nailed together, where the y-axis is stronger (see Fig. 2a). Fig. 2b shows an example where different unbraced lengths apply to the two axes: sheathing nailed to the stud prevents buckling about the y-axis, but not the x-axis. In this case, one might model the column with an unbraced height of 8 feet about the x-axis, and 0 feet about the y-axis.

Calculations are based on the 2005 edition of the National Design Specification for Wood Construction (NDS), and include the use of Emin. for column stability.

axes of buckling
Fig. 1. Wood compression element showing different unbraced lengths for x- and y-axes
axes of buckling
Fig. 2. a) definition of x- and y-axes for wood cross-sections; b) example of continuous bracing for y-axis

Species Dimension lumber
Fc (psi) = Emin (psi) =
Emin (psi) Fc (psi) Column size Capacity (lb)
  2x4  
    2-2x4  
Grade   3-2x4  
  2x6  
  2-2x6  
  3-2x6  
  2x8  
  2-2x8  
  3-2x8  
  2x10  
  2-2x10  
Duration of load factor, Cd   3-2x10  
  2x12  
  2-2x12  
  3-2x12  
    4x4  
Outdoors (wet service conditions)?   4x6  
  4x8  
  4x10  
  4x12  
     
Unbraced height, KL (ft), x-axis Beams and stringers
Fc (psi) = Emin (psi) =
Column size Capacity (lb)
  6x10  
    6x12  
Unbraced height, KL (ft), y-axis   8x12  
   
Posts and timbers
Fc (psi) = Emin (psi) =
  Column size Capacity (lb)
    6x6  
    6x8  
    8x8  
      8x10  
    10x10  
    10x12  
    12x12