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Physics & Solvers
Static, Modal, Kσ, Thermal, Contact
Static + Buckling + Modal · 984 DOFMining & CranesMITC4 Shells & Beams

48 m Mine Hoist Headframe & Ore Bin

Full-scale structural stability, skip hoist dynamic stiffness, and modal validation for a 48 m steel vertical shaft headframe.

Mine hoist headframes support massive head sheaves transmitting multi-meganewton dynamic rope pull into the foundation while resisting wind and seismic vibrations. The inclined two-leg backstay absorbs the resultant hoist rope pull to prevent tower overturning and excessive horizontal drift. WebCAE verifies overall frame stability with geometric stiffness matrices Kσ, sheave deck dynamic compliance, and bunker wall pressure resistance.

✓ Linear Static✓ Eigenvalue Buckling (Kσ)✓ Modal Vibration✓ MITC4 Shells & Beams
Pre-solved .caeweb container ready
64 quads · 386 beams · λ₁ = 28.34 · f₁ = 2.456 Hz
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48 m Mine Hoist Headframe & Ore Bin
64 quads · 386 beams · λ₁ = 28.34 · f₁ = 2.456 HzLaunch 3D ↗
Structure Dimensions
10 × 10 m base · H = 48 m
Finite Elements
64 Quads · 386 Beams
Degrees of Freedom
984 DOF
Buckling Factor
λ₁ = 28.34
Fundamental Frequency
f₁ = 2.456 Hz
Solver Runtime
0.4 s (Browser WASM)

1. Geometry & FEA Mesh

  • •Spatial 48 m vertical tower (10×10 m base, 8 tiers of 6 m) with 7-tier inclined box backstay (x = 28 m anchor base)
  • •Three MITC4 shell decks at z = 12 m, 42 m, and 48 m (16–20 mm plate) plus stiffened pyramidal ore bin (t = 14 mm)
  • •Heavy box columns 500×500×30 mm, backstay legs 600×600×40 mm, I-beam ring ties 400×200 mm, and pipe diagonals Ø250×15 mm
  • •Hybrid finite element model combining 64 MITC4 quadrilateral shell elements and 386 Timoshenko beam members (984 DOFs)

2. Loads & Boundary Conditions

  • •Rigid foundation anchor supports at 4 tower leg bases (z = 0) and 2 backstay foundation nodes (x = 28 m, z = 0)
  • •Dynamic skip hoist rope tension: vertical pull Fz = -600 kN and horizontal pull Fx = +400 kN towards the backstay
  • •Bunker lateral ore pressure 40 kPa combined with 20 t concentrated equipment mass per sheave platform (z = 42 m and 48 m)

3. Simulation Results & Findings

  • ✓Critical buckling factor λ₁ = 28.34 guarantees robust elastic stability margin under extreme rope tension
  • ✓Fundamental bending vibration frequency f₁ = 2.456 Hz prevents resonant interaction with skip hoisting frequencies
  • ✓Maximum tower top horizontal drift under 400 kN sheave pull remains within strict operational elevator alignment tolerances
Enterprise & Engineering Workflow

Mining engineering departments use WebCAE to model full-scale headframes with ore bins and sheave decks directly in a web interface without installing heavyweight software. Coupling Timoshenko space frames with MITC4 plate shells achieves instant verification of structural stability and natural vibration frequencies across emergency braking scenarios.

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$65/ mo (billed $790 after 14-day trial)

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  • ✓14-Day Trial ($0 Today) (cancel anytime)
  • ✓Up to 1.5M+ DOFs (direct sparse solver)
  • ✓Native Windows & macOS Apps (100% offline)
  • ✓Nonlinear Contact & Buckling (Kσ, MITC4, RBE2/RBE3)

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