AISI S100 / ASCE 7-22 Cold-Formed Wind Girt Design — C15012 Worked Example

Complete step-by-step design of a cold-formed C-section wall girt per AISI S100-16 (2020 Ed.). Covers wind pressure and suction per ASCE 7-22, combined bending (major axis wind + minor axis cladding weight), bridging design for the compression flange, and serviceability deflection limits.

Related pages: Cold-Formed Steel Guide | Wind Load Design Guide | ASCE 7 Wind Load Worked Example

Problem Statement

Design a horizontal wall girt in a pre-engineered metal building in Exposure B (suburban terrain). Building: 100 ft x 60 ft x 20 ft eave height. Girts span 25 ft horizontally between main frame columns, supporting 26-gauge through-fastened ribbed metal wall panels.

Design data:

Step 1 — Section Properties (C15012)

Property Value Unit
Ag 0.504 in^2
Ixx 2.83 in^4
Sxx (gross) 0.943 in^3
Iyy 0.176 in^4
Syy 0.098 in^3
rx 2.37 in.
ry 0.591 in.
x0 0.90 in.

Effective width analysis (AISI S100 B2): Web h/t = 118 >> 31.1 limit — web is slender. Flange w/t = 35.8, rho = 0.924 (flange partially effective). Web under pure bending: k = 24, rho = 0.756.

Sxx_eff approx = 0.80 x 0.943 = 0.754 in^3. Mnx = 37.7 kip-in., phi x Mnx = 33.9 kip-in.

Step 2 — Wind Load (ASCE 7-22 Chapter 30 Part 2)

Velocity pressure: qh = 0.00256 x 0.70 x 115^2 = 23.7 psf

Zone 4 (interior wall), effective area 125 ft^2: p_net (suction) = 23.7 x (-0.95 - 0.18) = -26.8 psf

Corner Zone 5: p_net (suction) = 23.7 x (-1.40 - 0.18) = -37.4 psf

Factored suction load: wu = 0.9 x (1.8 x 5 + 1.71) + 1.0 x (-26.8 x 5) = 0.9 x 10.71 - 134 = -124.4 plf = 0.124 klf

Mx* = 0.124 x 25^2/8 = 9.69 kip-ft = 116.3 kip-in. >> 33.9 kip-in. — section grossly undersized! (343% utilisation)

Step 3 — Redesign Iterations

Try C20019 at 4 ft c/c: wu = 0.098 klf, Mx* = 91.9 kip-in. Sxx_eff = 1.91 in^3, phi x Mnx = 86.0 kip-in. Still over: 107%.

Try C20024 at 3.5 ft c/c or C25024 at 4 ft c/c with combined bending check:

For C25024 at 4 ft c/c: Mx* = 91.9 kip-in., phi x Mnx = 144 kip-in. — 63.8%

My* (cladding weight) = 0.0112 x 25^2/8 x 12 = 10.5 kip-in. phi x Mny = 29.3 kip-in. — 35.8%

Combined bending: 91.9/144 + 10.5/29.3 = 0.638 + 0.358 = 0.996 < 1.0 — OK.

Step 4 — Bridging Requirements

Under wind suction, the inner (unclad) flange is in compression. Bridging per AISI S100 D3.2:

P_br = 0.02 x Mx* / (d x phi) = 0.02 x 91,900 / (10.0 x 0.75) = 245 lb per bridging point — negligible for standard sag rods.

Minimum 2 bridging rows at L/3 = 8.33 ft spacing.

Step 5 — Deflection Check

Wind service load: w = 26.8 x 4 = 107.2 plf. For C25024 (Ixx = 18 in^4): delta = 1.78 in. > L/240 = 1.25 in. — FAIL.

Try C30024 (Ixx = 32 in^4): delta = 1.00 in. < 1.25 in. — OK.

Summary

Limit State C15012 at 5 ft C20024 at 4 ft C25024 at 4 ft C30024 at 4 ft
Mx*/Mnx 343% (FAIL) 84.4% 63.8% ~45%
My*/Mny 58.3% 35.8% ~25%
Combined bending FAIL 142.7% (FAIL) 99.6% ~70%
Deflection L/240 142% (FAIL) 80%

Conclusion: Wind girt design for a 25 ft span at Exposure B, 115 mph, requires careful iteration through multiple limit states. The C15012 is far too light. The C30024 at 4 ft spacing satisfies all AISI S100 and ASCE 7-22 requirements. Corner zone girts require separate design for higher suction coefficients (GCp = -1.40).