B-Rep Stiffened Sheet Panel with 9 Imprinted Stringers and Frames

Statics (beam-shell CAD)PASS · 2.55%

B-Rep quad-sheet panel 3000 × 1500 × 4 mm with 9 imprinted stiffener lines (4 stringers, 5 frames, 49 tee beams on common nodes) under 0.002 MPa pressure: clamped Timoshenko plate verification and 100x stiffness enhancement verification.

Tolerance:: 5%

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Problem statement

Geometry: Aluminum sheet 3000 × 1500 mm, thickness t = 4 mm. Nine consecutive imprint operations create 30 faces and 71 edges. 24 stringer edges assigned tee 40 × 25 × 2 × 3 mm, 25 frame edges assigned tee 80 × 30 × 2.5 × 3 mm (49 beam stiffeners total on common mesh nodes).
Material: Aluminum alloy: E = 70 GPa, ν = 0.33, ρ = 2700 kg/m³.
Boundary conditions: All 22 perimeter boundary edges clamped (fix edge number N). Uniform transverse pressure 2000 Pa (0.002 MPa) on all 30 faces (load surface number N pressure=2000).
Measured quantity: Maximum panel deflection w_max and peak von Mises stress. Baseline unstiffened clamped plate: analytical Timoshenko w_ref = 62.8 mm, computed w_FE = 61.2 mm (2.55% deviation). 49-beam stiffened bundle brep_panel.caeweb: w_max = 0.628 mm (100x stiffening), peak σ_vm = 7.26 MPa.

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 mm
material E=70e9 nu=0.33 rho=2700
sketch points=0,0,0,3000,0,0,3000,1500,0,0,1500,0 as=face
imprint body1 points=-10,300,0,3010,300,0
imprint body2 points=-10,600,0,3010,600,0
imprint body3 points=-10,900,0,3010,900,0
imprint body4 points=-10,1200,0,3010,1200,0
imprint body5 points=500,-10,0,500,1510,0
imprint body6 points=1000,-10,0,1000,1510,0
imprint body7 points=1500,-10,0,1500,1510,0
imprint body8 points=2000,-10,0,2000,1510,0
imprint body9 points=2500,-10,0,2500,1510,0
section shell t=4
mesh tet size=60 surface=quad
assign beam edges=1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24 section=tee d1=40 d2=25 d3=2 d4=3 flush=inner
assign beam edges=25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49 section=tee d1=80 d2=30 d3=2.5 d4=3 flush=inner
fix edge number 50
fix edge number 51
fix edge number 52
fix edge number 53
load surface number 1 pressure=2000
load surface number 2 pressure=2000
load surface number 3 pressure=2000
load surface number 4 pressure=2000
solve

Results comparison

Reference value	62.80 mm (bare clamped plate a/b=2), >90x stiffening with 49 tee ribs
Our result	61.20 mm (bare, 2.55%), 0.6276 mm (49 ribs, 97.5x stiffer, 7.26 MPa)
Deviation	2.55%
Tolerance	5%
Status	PASS · 2.55%
Element family	Beam + Shell
Mesh details	8460 shell quad + 49 beam stiffeners (B-Rep imprint + assign beam), 8551 nodes, 51306 DOFs; webcae_solve

Updated: 2026-10-19 · WebCAE solver