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Calculations · 03 · Lateral loads

Wind: components & cladding

Tamara's hand calculations under ASCE 7-22 and the Florida Building Code, step by step: from a 180 mph basic wind speed to the force on every panel, window and bracket, and the drift each system has to absorb.

Thesis sheetsAP.1 · AP.5 · AP.6 · GFRC
CoursesAE 430 · Wind & Seismic Analysis
Sheet authorTamara Alenezi (GFRC study: K. Regep)
STEP 0

Why components & cladding

ASCE 7 handles wind in two ways. The main wind force resisting system (MWFRS) method finds the overall push on the building for the frame and bracing. The components & cladding (C&C) method finds the much higher local pressures that a single panel or window, and its fasteners, actually feel. These are highest at the building's edges and corners. Façade elements are designed with C&C, and in Boca Raton they're designed for hurricane wind.

STEP 1

Wind parameters

ParameterValueBasis
Basic wind speed, V180 mphRisk Category III, Boca Raton (ASCE Hazard Tool)
ExposureCOpen coastal terrain
Velocity pressure coefficient, Kh1.27At mean roof height, Exposure C
Topographic factor, Kzt1.0No hill or escarpment
Directionality factor, Kd0.85Buildings, C&C
Ground elevation factor, Ke1.0Near sea level
Enclosure / GCpi±0.18Enclosed building
Floor-to-floor height17.33 ft17′-4″, six floors
STEP 2

Velocity pressure

ASCE 7-22 Eq. 26.10-1, at mean roof height qh = 0.00256 Kh Kzt Kd Ke V² qh = 0.00256 (1.27)(1.0)(0.85)(1.0)(180)² qh = 89.54 psf
STEP 3

Design pressures by zone

Net pressure is external minus internal: p = qh[(GCp) − (GCpi)]. Internal pressure is taken with whichever sign makes it worse. Wall Zone 4 is the field of the wall. Zone 5 is the strip at each corner, where suction peaks.

Inward (positive): p = 89.538 [0.80 − (−0.18)] = +87.75 psf Zone 4 (suction): p = 89.538 [−1.00 − 0.18] = −105.65 psf Zone 5 (suction): p = 89.538 [−1.20 − 0.18] = −123.56 psf ← governs

Zone 5 suction was used as the design pressure for every enclosure system, which is conservative for panels in the field of the wall.

Handwritten curtain wall components and cladding calculation
AP.6 · Hand calculation. Curtain wall C&C, from parameters to unit forces.
STEP 4

Panel forces: F = p · A

Each unit is checked on its own tributary area. The curtain wall's two stacked units are assumed to act independently, because they're separate modules.

ElementSizeArea (ft²)F, Zone 5 (kip)F, Zone 4 (kip)
Curtain wall: upper unit5′ × 11′55.00123.56 × 55.00 = 6.805.81
Curtain wall: lower unit5′ × 6′-4″31.67123.56 × 31.67 = 3.913.35
Punched window: vision4′-0″ × 7′-6″30.00123.56 × 30.00 = 3.71—
Punched window: transom4′-0″ × 4′-3″17.00123.56 × 17.00 = 2.10—
Fiber cement panel4′ × 8.23′32.92123.56 × 32.92 = 4.07—
Handwritten calculations of window and fiber cement panel forces
AP.6 · Hand calculation. Punched windows and fiber cement panels.
STEP 5

Into the connections

A panel force means nothing until it reaches the structure. Each fiber cement panel hangs on 3 vertical rails with 3 brackets per rail (49″ o.c.). Every bracket stands 4″ off the stud wall, so it carries a moment as well as a reaction.

brackets per panel n = 3 rails × 3 = 9 reaction R = F / n = 4.07 / 9 = 0.45 kip moment M = R · e = 0.45 × 4 in = 1.80 kip·in path: panel → hidden rivets → rails → brackets → anchors → 6″ 18 ga stud wall

The curtain wall forces go to slab-edge anchors, and the window forces go to perimeter anchors in the stud wall. Connection details →

STEP 6

Effective wind area matters

A teammate's GFRC study ran the same C&C procedure in a spreadsheet for a façade module with a large effective wind area (1,400 ft²) and a mean roof height of 110 ft, on a 170 mph basis. GCp drops as effective area grows, because peak gusts don't load a large area all at once. So the governing pressures come out much lower:

edge & corner: ±79.79 psf  ·  interior: ±47.09 psf  ·  inward: +40.55 psf vs. −123.56 psf for individual panels and glass units (30–55 ft²) at 180 mph
GFRC components and cladding calculator inputs and design pressures
S. Façades. C&C calculator for the GFRC module.
Wall elevation pressure map: interior 47.09 psf, edges and corners 79.79 psf
S. Façades. Interior vs. edge/corner pressures.

GFRC sheet authored by K. Regep.

STEP 7

Drift compatibility

Strength is one check. Movement is the other. Enclosures span from slab to slab, so they have to absorb the building's interstory drift without cracking glass or tearing joints. Drift is checked at the service level using the 10-year MRI wind combination D + 0.7W.

h = 17′-4″ = 208 in ground floor: Δ = h/600 = 208/600 = 0.35 in upper floors: Δ = h/400 = 208/400 = 0.52 in ← governs
SystemRequired movement checkPreliminary status
Curtain wallStack joint / anchors ≥ 0.52 inFeasible with movement joint
Punched windowTwo side joints = 0.26 in eachFeasible with adequate perimeter joint
Fiber cement panelsJoint / rail tolerance ≥ 0.26 in each sideFeasible with flexible jointing

The punched window splits the 0.52 in drift between its two side joints: 0.52 / 2 = 0.26 in each.

Interstory drift between floor slabs
AP.5 · Fig. 1. Interstory drift between adjacent slabs.