Interactive Workbenches in Civil & Structural Mechanics
AISC 360 / Eurocode 3
Fundamentals
Solve differential beam equilibrium under combined concentrated point loads and uniformly distributed loads (UDL). Inspect elastic deformed shapes, maximum fiber stresses, and verify AISC L/360 deflection serviceability.
Equation: EI \frac{d^4 w}{dx^4} = q(x), \quad \sigma_{max} = \frac{M_{max} y}{I}
Standard: AISC 360-16 / Eurocode 3 (EN 1993-1-1) / ASTM A36 (Structural Steel Design)
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AASHTO LRFD
Intermediate
Calculates all internal axial forces (tension vs compression) across a 6-bay steel truss bridge as live vehicular traffic traverses the lower deck chord. Verifies compression members against Euler critical column buckling.
Equation: \sum \vec{F}_{node} = 0, \quad P_{cr} = \frac{\pi^2 E I}{(K L)^2}
Standard: AASHTO LRFD Bridge Design Specifications / AISC 360-16 / Eurocode 1 (EN 1991-2)
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ASCE 7-22 / Eurocode 8
Advanced
Simulates horizontal earthquake ground motion shaking a 4-story building frame. Demonstrates how elastomeric base isolators absorb 80%+ of seismic energy through shear strain, elongating natural periods and mitigating inter-story drift.
Equation: M \ddot{u} + C \dot{u} + K u = -M \ddot{u}_g(t), \quad T_n = 2\pi \sqrt{\frac{m}{k}}
Standard: ASCE 7-22 Chapter 17 / FEMA P-1051 / Eurocode 8 (EN 1998-1)
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ASTM D3080 / Eurocode 7
Intermediate
Visualizes 2D plane stress transformation on representative material and soil elements. Plot Mohr’s stress circle, compute principal stresses, and check against the Mohr-Coulomb shear slip rupture envelope.
Equation: \tau_f = c + \sigma_n \tan \phi, \quad R = \sqrt{\left(\frac{\sigma_x - \sigma_y}{2}\right)^2 + \tau_{xy}^2}
Standard: ASTM D3080 / BS 1377-7 / Eurocode 7 (EN 1997-1) (Direct Shear & Soil Triaxial Tests)
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