Examples
Here's your chance to show off! You need to zip them up if you want to save them on this server, as it won't let you upload .sm files.
Edit
Engineering
Nonlinear 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
Calculate the Area Properties of Composite Rectangular Areas (US Customary Units)
pdf
zip
Calculate properties of generic polygons (perimeter, area, centroid, second moment of area, radius of gyration, elastic section modulus, plastic section modulus, orientation of principal axes of inertia, principal moments of inertia, radii of gyration about principal axes of inertia); multilanguage (ENG/ITA)
pdf
zip
Electrical engineering  calculate current, voltage, real, reactive and apparent power in an AC circuit using the complex domain and using custom units for AC power quantities.
pdf
zip
Edit
Financial
Financial Equations
pdf
zip
Edit
Numerical methods
NewtonRaphson 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
GaussLegendre integration method
pdf
zip
Second order linear ODE  finite difference method
pdf
zip
RungeKutta 4thorder for single 1storder ODE (G. Urroz)
pdf
zip
RungeKutta 4thorder for systems of ODEs (G. Urroz)
pdf
zip
RungeKutta 4thorder for single 2ndorder ODE (G. Urroz)
pdf
zip
RungeKutta 5thorder 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
Edit
Statistics
Normal distribution
pdf
zip
Student tdistribution
pdf
zip
Chisquared distribution
pdf
zip
Fdistribution
pdf
zip
Examples of probability distributions (G. Urroz)
pdf
zip
Edit
Data Manipulation and Interpolation
Importing data from csv files (author:
B. Towler
)
pdf
zip
Bilinear Interpolation (author:
B. Towler
)
pdf
zip
Edit
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, pumppipeline systems, pipe networks, pumps, and openchannel flow (some examples include solutions using EPANET and HECRAS)
Developed by
B. Towler
Vertical Velocity Distribution in a Hydraulically Smooth Open Channel:
pdf
zip
Hydraulic Geometry of Rivers:
pdf
zip
Weir Flow using the Rehbock Equation:
pdf
zip
SwameeJain Friction Factor Equation for Pipe Flow:
pdf
zip
Edit
Structural Engineering
Calculate the Area Properties of Composite Rectangular Areas (US Customary Units)
pdf
zip
Nonlinear 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 310195 (SI Units)
pdf
zip
Steel EndPlate Connection Design  adapted from Krishnamurthy 1978 (US Units)
pdf
zip
Design of Reinforced Concrete Slab  Flexural Reinforcement (US Units)
pdf
zip
Single span moment & shear envelopes for HL93 loading using influence lines
pdf
zip
Design of a single span simply supported timber beam according to EN 1995Eurocode 5 (SI units)
pdf
zip