24 Laws of Mechanical Engineering

Multi-Physics Simulator & Educational Suite (Space, Deepsea & Hypersonics)

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Space Rover Actuator Mission HUD

Loop A: Strain → Friction Loop B: Heat → Temp & Pressure Econ Feasibility: $13,010 System Status: Safe
77K (Freeze)293K (Ambient)400K (Hot)
0.5 mol2.0 mol5.0 mol
1.0x (Direct)4.0x (Nozzle)8.0x (High Speed)
50 N250 N1000 N
Gas Pressure ($P_{\text{gas}}$)
97.4 kPa
Ideal Gas Law #16
Jet Velocity ($V_2$)
8.0 m/s
Continuity Eq #13
Net Force ($F_{\text{net}}$)
2,450 N
Pascal #15 & Amontons #17
Structural Stress ($\sigma$)
124.5 MPa
Hooke's Law #1
Deflection Stretch ($\delta$)
0.62 mm
Castigliano #22
Friction Heat ($Q_{\text{fric}}$)
45.2 W
First Law #10 & Viscosity #19
Unit Fab Cost ($)
$13,010
DFM #6 & Economics

7-Stage Multi-Physics Computational Pipeline

Interactive computational data flow graph. Hover for screen tips or click any node to jump straight to its card!

Stage 1: Thermal & Gas Base
#9 Zeroth Law
#12 Third Law
#16 Ideal Gas Law
Stage 2: Hydrodynamics
#15 Pascal's Law
#13 Continuity Eq.
#14 Bernoulli's Prin.
#20 Archimedes
Stage 3: Friction & Resistance
#19 Newton's Viscosity
#18 Coulomb Friction
#17 Amontons' Law
Stage 4: Solid Mechanics
#1 Hooke's Law
#3 Young's Modulus
#2 Poisson's Ratio
#4 Shear Modulus
Stage 5: Energy & Yield
#22 Castigliano
#21 Maxwell Reciprocal
#23 Mohr's Circle
#24 Energy Conserv.
Stage 6: Thermodynamics
#10 First Law
#11 Second Law
Stage 7: Design Synthesis
#8 Exact Constraint
#5 KISS Principle
#6 DFM
#7 DFA

Multi-Physics & Economics Linkage Diagnostic Module

Real-time quantitative linkage tracer connecting slider inputs to downstream physics equations and unit fabrication costs.

Real-Time Equation Linkage Flow
Unit Fabrication Cost ($) Component Drivers
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