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Home›IS Codes›IS 875:2015›Clauses›Cl. 7.4
IS 875:2015 — Design Loads — Part 3: Wind Loads
IS 875:2015 — Clause 7.4

Force Coefficients Cf

Clause 7.4 provides force coefficients (Cf) for calculating wind drag on buildings and structures of various cross-sections. The force coefficient depends on the shape of the structure (rectangular, circular, polygonal, etc.), its aspect ratio (height/breadth), and the Reynolds number (for circular sections). Key tables include: Table 23 for rectangular clad buildings, Table 24 for other cross-section shapes (circular, octagonal, etc.), Table 25 for unclad buildings and open frameworks, and Table 26 for single frames.

Key Requirements

  • •Cf for rectangular clad buildings shall be obtained from Table 23 based on height/breadth and breadth/depth ratios
  • •Cf for circular cross-sections depends on Reynolds number and surface roughness — Table 24
  • •For lattice/open frame structures, Cf depends on solidity ratio (φ) — Table 25
  • •Shielding effects for multiple parallel frames shall be applied using Table 26
  • •Force coefficients apply to the overall structure for stability and overturning checks

Reference Tables

Table 23 — Force Coefficients Cf for Rectangular Clad Buildings (Clause 7.4.2)
h/ba/b = 1a/b = 2a/b = 4a/b ≥ 10
≤ 0.50.90.90.90.9
111.051.11.2
21.151.21.251.35
41.31.351.41.5
≥ 101.41.451.51.6
≥ 201.51.551.61.7
h = height of building, b = breadth (dimension perpendicular to wind), a = depth (dimension parallel to wind). For intermediate values, linear interpolation may be used.
Force Coefficients for Circular Cross-Sections (Clause 7.4.3, Table 24)
SurfaceD×Vz (m²/s)Cf
Rough or with projectionsAll values0.7
Smooth< 61.2
Smooth≥ 60.6
Very smooth (polished)< 61.2
Very smooth (polished)≥ 60.5
D = diameter of circular section. The product D×Vz determines the Reynolds number regime. Post-critical (D×Vz ≥ 6) gives much lower Cf due to turbulent boundary layer reattachment.
Force Coefficients for Open/Lattice Structures (Table 25)
Solidity Ratio φCf (Flat-sided)Cf (Circular)
0.11.91.2
0.21.81.2
0.31.71.2
0.41.71.1
0.51.61.1
0.81.51
121.2
φ = solidity ratio = projected solid area / total enclosed area. For completely clad (φ = 1.0), Cf returns to the clad building value.

Practical Notes

✓For a typical 15 m tall residential building (h/b ≈ 1–2, a/b ≈ 1): Cf ≈ 1.0–1.15 from Table 23. This is the most commonly used range in Indian practice.
✓Circular chimneys and tanks in the post-critical Reynolds number range (D×Vz ≥ 6) benefit from much lower Cf ≈ 0.6 compared to Cf ≈ 1.2 in the sub-critical range.
✓For telecom towers and lattice structures, the solidity ratio governs Cf. Typical lattice towers have φ ≈ 0.2–0.3, giving Cf ≈ 1.7–1.8 on the solid projected area.
✓Shielding between parallel frames (e.g., multiple portal frames in a truss bridge) reduces the total force — shielding factors from Table 26 can reduce loads by 20–50% on the leeward frames.

Common Mistakes

⚠Confusing a/b and h/b ratios when reading Table 23 — a is the depth (parallel to wind), b is the breadth (perpendicular to wind), h is height.
⚠Using sub-critical Cf = 1.2 for large diameter chimneys operating in the post-critical regime (D×Vz ≥ 6) — this over-estimates the force by 100%.
⚠Not accounting for wind from multiple directions — a rectangular building has different Cf depending on whether wind hits the wide or narrow face.
⚠Applying force coefficients from Table 23 to individual cladding panels — these are for overall building force, not local pressures.

Frequently Asked Questions

Related Resources

Cl. 7.3Cl. 7.2IS 875 vs ASCE 7: Wind Load Calculation Compared (India vs USA)
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Cl. 7.3
Wind Force on Structure
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