PART 4 — STRUCTURAL DESIGNUpdated for the 2024 Ontario Building Code
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4.1.7.4.Topographic Factor
(1) Except as provided in Sentence (2), the topographic factor, Ct, shall be taken as 1.0.
(2) For buildings on hills or escarpments with slope, Hh/(2Lh), greater than 0.1 (See Figure 4.1.7.4.), the topographic
factor, Ct, shall be calculated as follows:
∆S
Ct = (1 + ) (1 + ∆S)
Cg
where
|x|
∆S = ∆Smax (1 − ) exp (−αz/Lh )
kLh
where
ΔSmax = applicable value from Table 4.1.7.4.,
x = horizontal distance from the peak of the hill or escarpment,
Lh = horizontal distance upwind from the peak to the point where the ground surface lies at half the
height of the hill or escarpment, or 2Hh (where Hh is the height of the hill or escarpment),
whichever is greater,
Z = height above ground, and
k and α = applicable constants from Table 4.1.7.4. based on shape of hill or escarpment.
Figure 4.1.7.4.
Speed-up of Mean Velocity on a Hill or Escarpment
Forming Part of Sentence 4.1.7.4.(2)
Notes to Figure 4.1.7.4.:
(1) V(z) = wind speed.
Table 4.1.7.4.
Parameters for Maximum Speed-up Over Hills and Escarpments
Forming Part of Sentence 4.1.7.4.(2)
Shape of Hill or Escarpment ΔSmax(1) α k, where x < 0 k, where x ≥ 0
2-dimensional hill 2.2 Hh/Lh 3 1.5 1.5
2-dimensional escarpment 1.3 Hh/Lh 2.5 1.5 4
3-dimensional axi-symmetrical hill 1.6 Hh/Lh 4 1.5 1.5
Notes to Table 4.1.7.4.:
(1) For Hh/Lh > 0.5, assume Hh/Lh = 0.5 and substitute 2Hh for Lh in the equation for ΔS.
This provision includes a table — formatting is preserved from the source; refer to the official code for the authoritative layout.
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Code text is reproduced for reference from the Ontario Building Code (O. Reg. 163/24, 2024 Building Code Compendium). This page is provided for general information and is not an official copy. Always verify requirements against the official Ontario Building Code and confirm with your local building department.