Workspace
Labs
Interactive engineering workspaces for exploring complete models, diagrams and system behaviour.
38 Labs
Dynamics & Control
First-Order Systems
availableAnalyze first-order dynamics, standard inputs, time constants and response metrics.
Dynamics & Control
Open Lab →
Second-Order Systems
availableAnalyze, compare and design canonical second-order systems.
Dynamics & Control
Open Lab →
Transfer Function Analysis
availableAnalyze general continuous-time LTI transfer functions in time, frequency and stability domains.
Dynamics & Control
Open Lab →
Root Locus
availableTrace closed-loop pole motion against a scalar gain, with stability ranges and the response at the selected gain.
Dynamics & Control
Open Lab →
Control Design
availableDesign P, PI, PD, PID and lead/lag compensators around a plant and see what each one costs in time, frequency, root locus and robustness.
Dynamics & Control
Open Lab →
Vibrations (Mass–Spring–Damper)
availableFree, forced, harmonic and base-excited single-degree-of-freedom vibration: resonance, transmissibility, isolation and energy.
Dynamics & Control · Engineering Mechanics
Open Lab →
Modal Analysis (2DOF & MDOF)
availableNatural frequencies, mode shapes, orthogonality, Rayleigh and modal damping, modal superposition, participation factors and receptance FRFs for M q̈ + C q̇ + K q = f(t).
Dynamics & Control · Engineering Mechanics
Open Lab →
State Space & Pole Placement
availableEigenvalues and stability, controllability and observability, minimality, conversion to and from a transfer function, response decomposition and full-state-feedback pole placement for x' = Ax + Bu, y = Cx + Du.
Dynamics & Control
Open Lab →
Engineering Mechanics
Statics & Equilibrium
availableBuild a planar force system, reduce it to a resultant, and solve rigid-body support reactions with an explicit determinacy verdict and equilibrium check.
Engineering Mechanics
Open Lab →
Mass Properties
availableCompose a planar section from rectangles, circles, semicircles and triangles with cutouts, and read its centroid, area inertia, principal axes, centre of mass and I_G,z.
Engineering Mechanics
Open Lab →
Particle Motion
availablePlanar point-particle motion from a prescribed acceleration or a mass with constant forces: exact trajectory, time histories, energy and momentum at a chosen instant.
Engineering Mechanics
Open Lab →
Rigid-Body Kinematics
availablePlanar translation, rotation and general plane motion: the velocity and acceleration of body-fixed points and the instantaneous centre of zero velocity.
Engineering Mechanics
Open Lab →
Rigid-Body Dynamics
availablePlanar kinetics under global forces at body-fixed points: load reduction, ΣF = m·a_G and ΣM_G = I_G·α, the resulting motion, energy and momentum.
Engineering Mechanics
Open Lab →
Engineering Mathematics & Numerical Methods
Root Finding
availableCompare bisection, Newton–Raphson, secant and fixed-point iteration on the same equation: convergence histories, residuals, evaluation costs and failure modes side by side.
Engineering Mathematics & Numerical Methods
Open Lab →
Interpolation
availableCompare piecewise linear, Lagrange and natural cubic spline interpolation on the same dataset and target: where they agree, where they diverge, and — only with a reference function — which is actually right.
Engineering Mathematics & Numerical Methods
Open Lab →
Linear Algebra
availableOne matrix and four numerical views of it: Gaussian elimination, LU factorisation with partial pivoting, conditioning with an explicit perturbation experiment, and eigen-analysis on the complex plane.
Engineering Mathematics & Numerical Methods
Open Lab →
Numerical Integration
availableCompare the composite trapezoidal rule, composite Simpson's rule and Gauss-Legendre quadrature on the same definite integral: accuracy against function-evaluation cost as each one is refined.
Engineering Mathematics & Numerical Methods
Open Lab →
ODE Solver
availableSolve one scalar initial-value problem with explicit Euler and classical RK4 side by side, compare them against an optional supplied reference, and refine the step size to observe the order each method actually achieves.
Engineering Mathematics & Numerical Methods
Open Lab →
Structural Mechanics
Beam Analysis Lab
availableBuild a determinate beam and read its reactions, shear and bending-moment diagrams, extreme-fibre bending stress and deflected shape from one exact piecewise solution.
Structural Mechanics
Open Lab →
Axial Members Lab
availableBuild a segmented axially loaded member with concentrated loads and read its internal force, stress, strain and deformation interval by interval.
Structural Mechanics
Open Lab →
Torsion Lab
availableBuild a stepped circular shaft with concentrated torques and read its internal torque, outer-surface shear stress and accumulated angle of twist along the whole length.
Structural Mechanics
Open Lab →
Truss Analysis Lab
availableBuild a planar pin-jointed truss and inspect its support reactions and signed member forces, then derive selected forces step by step with the Method of Joints or the Method of Sections / Ritter.
Structural Mechanics
Open Lab →
Stress Transformation Lab
availableOne plane-stress state shown three ways at once: the original element, the rotated element and Mohr's circle, all driven by a single engine result.
Structural Mechanics
Open Lab →
Fluid Mechanics
Hydrostatics Lab
availableOne static-fluid scene: the pressure field with depth, a multi-fluid pressure path, the resultant and centre of pressure on a plane submerged surface, and the buoyant force on a displaced body.
Fluid Mechanics
Open Lab →
Bernoulli & Energy Lab
availableOne flow path: ordered stations joined by pump, turbine and loss elements, with continuity, the extended energy equation, the head components and the HGL and EGL of the same scene.
Fluid Mechanics
Open Lab →
Pipe Flow Lab
availableOne pipe run in series: the speed, Reynolds number, regime, Darcy friction factor and losses of every segment, and the pressures, HGL and EGL those losses produce along the path.
Fluid Mechanics
Open Lab →
Momentum & Forces Lab
availableOne planar control volume with two to four ports: the mass-flow consistency, the momentum flux of every port, the pressure force on the control surface, the net force ON THE FLUID and its equal and opposite resultant on the surroundings.
Fluid Mechanics
Open Lab →
Flow Measurement Lab
availableOne fluid state read by three measuring principles: a Venturi differential, a Pitot stagnation difference and efflux through an orifice, each with its own assumptions kept visible and compared side by side.
Fluid Mechanics
Open Lab →
Thermal Engineering
Thermodynamic Process Lab
availableOne ideal-gas state taken through an isobaric, isochoric, isothermal, isentropic or polytropic process, with its P–v path, energy balance and both states on screen.
Thermal Engineering
Open Lab →
Energy Devices Lab
availableOne steady-flow control volume as a generic CV, turbine, compressor, nozzle or diffuser, with an energy-flow schematic, a term-by-term balance and both stream states.
Thermal Engineering
Open Lab →
Thermodynamic Cycles Lab
availableOne ideal cycle — Carnot, Otto, Diesel, Brayton or a Carnot refrigerator / heat pump — with its state diagram, energy terms, corner states and a parameter comparison from the same solution.
Thermal Engineering
Open Lab →
Heat Transfer Lab
availableOrdered multilayer plane and cylindrical systems with optional convection, physical temperature profiles, resistance networks and station tables.
Thermal Engineering
Open Lab →
Heat Exchanger Lab
availableParallel and counterflow LMTD/NTU with conserved energy, stream states and analytical profiles.
Thermal Engineering
Open Lab →
Electrical Engineering
Electrical Networks Lab
availableEditable DC networks solved by MNA, with nodal and loop equations, KCL/KVL residuals, power balance and Thévenin/Norton equivalents.
Electrical Engineering
Open Lab →
Capacitors & Transients Lab
availableCapacitor networks charged through a resistor: charge and voltage distribution, RC response, energy account and time plots with τ markers.
Electrical Engineering
Open Lab →
AC & RLC Lab
availableOne series R–L–C circuit: AC steady state, log-frequency impedance and current response, resonance and Q, and the damped step/natural transient.
Electrical Engineering
Open Lab →
Power & Three-Phase Lab
availableSingle-phase AC power, the power triangle, shunt-capacitor PF correction and balanced star/delta three-phase power in one workspace.
Electrical Engineering
Open Lab →
Magnetics & Transformers Lab
availableLinear core, signed induction, ideal transformer and complex load reflection.
Electrical Engineering
Open Lab →