Skyscraper Reinforced Concrete Core and Outrigger Wind Response

Statics & Dynamics (beam-shell)PASS · 1.34%

Wind load drift, base overturning bending stress, gravity dead-weight settlement, and fundamental cantilever natural frequency of a 288 m high-rise building core (13.5 × 13.5 m, t = 0.6 m, 2 internal shear walls) and outrigger truss frame: verified against Tim… show full text

Tolerance:: 5%

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Problem statement

Geometry: Cantilever reinforced concrete service core: height H = 288 m, footprint 13.5 × 13.5 m with two internal shear walls dividing the core into 3 shafts. Wall thickness t = 0.6 m. Moment of inertia I_x = 1.0671 m⁴, shear web area A_s,x = 16.2 m², distributed mass m' = 121,500 kg/m. Full outrigger system adds 4-story steel… show full text
Cantilever reinforced concrete service core: height H = 288 m, footprint 13.5 × 13.5 m with two internal shear walls dividing the core into 3 shafts. Wall thickness t = 0.6 m. Moment of inertia I_x = 1.0671 m⁴, shear web area A_s,x = 16.2 m², distributed mass m' = 121,500 kg/m. Full outrigger system adds 4-story steel outrigger and belt trusses with perimeter composite columns.
Material: High-strength core concrete: E = 40 GPa, ν = 0.20, ρ = 2500 kg/m³. Structural steel outriggers: E = 210 GPa, ν = 0.30, ρ = 7850 kg/m³.
Boundary conditions: Fully clamped at foundation base z = 0 (all DOFs). Loads: 1) Uniform wind pressure p = 1.0 kPa across windward and leeward walls (resultant line load q = 27 kN/m, total shear force 7.776 MN, base overturning moment 1119.7 MN·m); 2) Dead load self-weight under standard gravity g = 9.80665 m/s².
Measured quantity: Top tip drift under wind load: analytical reference 0.54810 m (bending 0.54396 m + shear 0.00415 m), computed 0.54076 m (1.34% deviation). Base normal stress σ_z at z = 10 m: analytical reference 6.599 MPa, computed 6.534 MPa (0.99% deviation). Gravity top settlement: analytical reference 25.428 mm, computed 25.406 mm… show full text
Top tip drift under wind load: analytical reference 0.54810 m (bending 0.54396 m + shear 0.00415 m), computed 0.54076 m (1.34% deviation). Base normal stress σ_z at z = 10 m: analytical reference 6.599 MPa, computed 6.534 MPa (0.99% deviation). Gravity top settlement: analytical reference 25.428 mm, computed 25.406 mm (0.08% deviation). Fundamental bending natural frequency f₁: analytical Dunkerley reference 0.12586 Hz, computed 0.12667 Hz (0.64% deviation).

WebCAE Terminal

Paste these commands into the Terminal panel inside WebCAE. They use the same text DSL as the application; run one command per line:

units m
material E=40e9 nu=0.2 density=2500
frame up=z
frame patch geom=quad p00=-6.75,-6.75,0 p10=6.75,-6.75,0 p11=6.75,-6.75,288 p01=-6.75,-6.75,288 nu=9 nv=72 t=0.6
frame patch geom=quad p00=6.75,-6.75,0 p10=6.75,6.75,0 p11=6.75,6.75,288 p01=6.75,-6.75,288 nu=9 nv=72 t=0.6
frame patch geom=quad p00=6.75,6.75,0 p10=-6.75,6.75,0 p11=-6.75,6.75,288 p01=6.75,6.75,288 nu=9 nv=72 t=0.6
frame patch geom=quad p00=-6.75,6.75,0 p10=-6.75,-6.75,0 p11=-6.75,-6.75,288 p01=-6.75,6.75,288 nu=9 nv=72 t=0.6
frame patch geom=quad p00=-2.25,-6.75,0 p10=-2.25,6.75,0 p11=-2.25,6.75,288 p01=-2.25,-6.75,288 nu=9 nv=72 t=0.6
frame patch geom=quad p00=2.25,-6.75,0 p10=2.25,6.75,0 p11=2.25,6.75,288 p01=2.25,-6.75,288 nu=9 nv=72 t=0.6
frame support patch=1 side=j0 dofs=all
frame support patch=2 side=j0 dofs=all
frame support patch=3 side=j0 dofs=all
frame support patch=4 side=j0 dofs=all
frame support patch=5 side=j0 dofs=all
frame support patch=6 side=j0 dofs=all
frame load patch=4 p=-1000
frame load patch=2 p=1000
frame solve static
frame probe disp node=1387 comp=ux id="top_drift"

Results comparison

Reference value	0.54810 m (drift), 6.599 MPa (base sigma), 25.428 mm (settlement), 0.12586 Hz (f1)
Our result	0.54076 m (drift, 1.34%), 6.534 MPa (base, 0.98%), 25.406 mm (settlement, 0.09%), 0.12667 Hz (f1, 0.64%)
Deviation	1.34%
Tolerance	5%
Status	PASS · 1.34%
Element family	Beam + Shell
Mesh details	14256 shell quad + 5604 beam stiffeners (frame patch + frame stiffen), 11608 nodes, 69648 DOFs; webcae_solve

Updated: 2026-10-19 · WebCAE solver