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Engineering

  • Non-linear deflection of a flexible cantilever pdf zip
  • Batch chemical reactor pdf zip
  • Lateral force developed by a tire, using an early Pacejka model. pdf zip
  • NASA's Atmospheric Model (SI Units) pdf zip
  • Using an electromagnetic shaker to drive a single degree of freedom system pdf zip
  • Simple Estimates of a single prop, naturally aspirated, aircraft's performance pdf zip
  • Ramp Design - testing for max allowable bending moment and deflection (US Customary Units) pdf zip
  • Column Design - based on AISC Manual of Steel Construction (US Customary Units) pdf zip
  • Engine Heat Rejection Calcs - good example of working with relative temperature differences (US Customary Units) pdf zip
  • Calculate the Area Properties of Composite Rectangular Areas (US Customary Units) pdf zip

Financial


Numerical methods

  • Newton-Raphson method for solving equations (G. Urroz) pdf zip
  • Nonlinear system of algebraic equations, Broyden's method pdf zip
  • Lagrange interpolation polynomials pdf zip
  • Newton interpolation polynomials (forward finite difference) pdf zip
  • Newton interpolation polynomials (backward finite difference) pdf zip
  • Data fitting (single independent var., linear on parameters) pdf zip
  • Data fitting (multiple, linear on parameters) pdf zip
  • Simpson integration with Richardson extrapolation pdf zip
  • Gauss-Legendre integration method pdf zip
  • Second order linear ODE - finite difference method pdf zip
  • Runge-Kutta 4th-order for single 1st-order ODE (G. Urroz) pdf zip
  • Runge-Kutta 4th-order for systems of ODEs (G. Urroz) pdf zip
  • Runge-Kutta 4th-order for single 2nd-order ODE (G. Urroz) pdf zip
  • Runge-Kutta 5th-order adaptive - also "Batch chemical reactor" (see "Engineering", above) pdf zip
  • Graphing implicit functions of 2 variables:  f(x,y)=K (where K is a constant) pdf zip

Statistics

  • Normal distribution pdf zip
  • Student t-distribution pdf zip
  • Chi-squared distribution pdf zip
  • F-distribution pdf zip
  • Examples of probability distributions (G. Urroz) pdf zip

Civil Engineering Hydraulics/Fluid Mechanics

From college courses by G. Urroz
  • CEE Fluid Mechanics Test 1: | Prob 1: pdf zip | Prob 2: pdf zip | Prob 3: pdf zip |
  • CEE Fluid Mechanics Test 2: pdf zip | CEE Fluid Mechanics Test 3: pdf zip
  • Video examples of calculations with units for hydraulics: See Part 2 SMath Studio\
  • CEE 3510 HYDRAULICS : Spring 2012 Schedule - Each link in the Schedule contains links to examples with SMath Studio solutions for pipe flow, pump-pipeline systems, pipe networks, pumps, and open-channel flow (some examples include solutions using EPANET and HEC-RAS)

Developed by B. Towler
  • Vertical Velocity Distribution in a Hydraulically Smooth Open Channel: pdf zip
  • Hydraulic Geometry of Rivers: pdf zip

Structural Engineering

  • Calculate the Area Properties of Composite Rectangular Areas (US Customary Units) pdf zip
  • Non-linear deflection of a flexible cantilever pdf zip
  • Ramp Design - testing for max allowable bending moment and deflection (US Customary Units) pdf zip
  • Column Design - based on AISC Manual of Steel Construction (US Customary Units) pdf zip
  • Design of Reinforced Concrete Beams according to NZS 3101-95 (SI Units) pdf zip
  • Steel End-Plate Connection Design - adapted from Krishnamurthy 1978 (US Units) pdf zip
  • Design of Reinforced Concrete Slab - Flexural Reinforcement (US Units) pdf zip
  • ...

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