Sawn Lumber Strengths and Resistances

This calculation provides the Moment capacity, Shear capacity, Compression capacity, Tension capacity, and Stiffness of Sawn Lumber Sections according to CSA O86.

Geometry:

Material:

Factors:

Output:

    Definitions
    • ϕ = Resistance factor
    • width, b = 38 mm
    • depth, d = 140 mm
    • Z-axis: horizontal axis parallel to "b"
    • Y-axis: Vertical axis parallel to "d"
    • Duration Factor, KD = 1
    • Service Factor, KSb = 1
    • Treatment Factor, KT = 1
    • System Factor, KH = b:1, v:1, c:1, t:1
    • Size Factor, KZ = b:1.4, v:1.4, t:1.3
    Look up the species parameters

    • S-P-F No.2 grade

      --> Table 6.4 - Structural joists and planks, structural light framing, and studs

      --> fb: 11.8MPa, fv: 1.5MPa, fc: 11.5MPa, fcp: 5.3MPa, ft: 5.5MPa, E: 9500MPa, E05: 6500MPa

    Moment Resistance
    Mrz=1.8 kNm (1.4 kft) Mry=0.5 kNm (0.4 kft)
    • mm3
    • mm3
    • MPa
    • kNm
    • kNm
    Shear Resistance
    Vr=6.7 kN (1.5 kip)
    • mm2
    • MPa
    • kN
    Compression Resistance
    Pr=29 kN (6.5 kip)
    • mm2
    • MPa
    • kN
    • kN
    • kN
    Tension Resistance
    Tr=34.2 kN (7.7 kip)
    • mm2
    • MPa
    • kN
    Stiffness
    • mm4
    • mm4
    • MPa
    • x109 N mm2
    • x109 N mm2
    User Notes:
Effective Length Factor, Ke

The effective length factors, Ke, recommended in CSA 086 Table A.4 are summarized below:

End ConditionsEffective Length Factor, Ke
Fixed at both ends0.65
Fixed at one end, pinned at one end0.80
Pinned at both ends1.00
Fixed at one end, retrained against rotation (but not translation) at other end1.20
Fixed at one end, partially-retrained against rotation (but not translation) at other end1.50
Pinned at one end, retrained against rotation (but not translation) at other end2.00
Fixed at one end, free at other end2.00