PTC Mathcad Prime 3.0 Worksheet Library

PTC Mathcad Prime 3.0 Worksheet Library
Building Thermal Analysis
45 Worksheets
The Building Thermal Analysis worksheet collection covers topics like conduction,
convection, solar radiation, thermal radiation, and heat flow for infrastructure including
walls, windows, rooms, pipes, inclined surfaces, boilers, and chimneys. More advanced
worksheets solve transient models for single walls and entire Heating Ventilation and Air
Conditioning (HVAC) systems.
Building Structural Design
33 Worksheets
This worksheet collection contains a wide range of structural design problems. These
worksheets demonstrate how PTC Mathcad Prime 3.0 can solve basic structural design
problems within a well-documented report. The worksheets follow regulating building
and design codes like the American Concrete Institute (ACI) and the American Society
of Civil Engineers (ASCE) Standards. Shear and moment curves for beam loading;
design of columns, flat plates, base plates, retaining walls, and footings; and wind and
seismic loading are some of the worksheet topics.
Chemical Engineering
22 Worksheets
This set of PTC Mathcad Prime 3.0 worksheets cover topics including fluid flow, phase
changes, heat exchangers, vaporizers, and pressure drops for cases involving both
liquids and gases. More advanced worksheets include model PID controllers heating a
tank of liquid, solve fluid dynamic problems in both parallel and series, and use the
McCabe-Thiele Method for binary distillation.
Custom Functions
6 Worksheets
These custom functions enable the user to take a PTC Mathcad Prime 3.0 worksheet
and write STL, DXF, HDF5, and C++. Users can turn mathematic models in their PTC
Mathcad Prime 3.0 worksheet into 3D renderings using WriteSTL and WriteDXF. User
also can export PTC Mathcad Prime 3.0 matrices as C++ code to assist in the
verification of FORTRAN or C++ codes. Users gain the ability to develop and distribute
custom functions. This means legacy code (C, C++, and FORTRAN) can be wrapped as
additional Mathcad Prime 3.0 functions.
Differential Equations
62 Worksheets
The Differential Equations worksheets will provide the user with an overview of ordinary
differential equations (ODEs). The worksheet collection is designed to show the user
where ODEs come from and how to solve them in PTC Mathcad Prime 3.0. Topics
covered include: boundary conditions, first and second order differential equations,
homogeneous and nonhomogeneous differential equations, Euler’s Method,
Eigenvalues, linear and nonlinear differential equations, Bessel functions, and Legendre
polynomials.
Electrical Power Systems Engineering
35 Worksheets
This worksheet collection carries out common design calculations for electrical power
systems. Power transmission and distribution, power system protection, and power
system electrical transients are the three major topics discussed. PTC Mathcad Prime
3.0 capabilities including complex arithmetic, matrices, equation solving, and plotting are
showcased while tackling these problems.
Finite Element Beginnings
152 Worksheets
The Finite Element Beginnings collection is comprised of six chapters that cover the
finite element method. This method is a numerical analysis technique used to obtain
solutions to the differential equations that describe a wide variety of physical and nonphysical problems. The six chapters cover: finite element beginnings, the discrete
approach, finite elements of elastic continua, element interpolation and shape functions,
mapped elements, and the method of weighted residuals.
Mathcad Prime Tutorials with Physics Examples
22 Worksheets
This set of PTC Mathcad Prime 3.0 worksheets walk users through elementary physics
problems while teaching them the basics of PTC Mathcad Prime 3.0. Upon completion of
the tutorials, the user will be able to: write equations that contain constants, variables,
and units; solve and graph equations; statistically analyze a set of data; and linearly fit a
set of data.
Miscellaneous Worksheets
65 Worksheets
This worksheet collection is a good resource for a user of any discipline as it contains
material for wide range of applications. These applications include Mechanical,
Electrical, Civil, and Environmental Engineering in addition to topics including data
regression, complex numbers, solving systems of equations, financial risk management,
and response surface modeling.
Programming in PTC Mathcad 3.0
29 Worksheets
This set of programming worksheets show the user the opportunities for programming
with PTC Mathcad Prime 3.0. Many of PTC Mathcad Prime 3.0’s computational and
connectivity features are discussed throughout the set. Programming worksheets cover
for and while loops; if, else, and else if statements; and continue, break, and return
operators.
Topics in Electrical Engineering
26 Worksheets
These worksheets perform common design calculations from several branches of
electrical engineering. These branches include circuits, feedback analysis, signal
processing, transfer functions, and electromagnetics. These worksheets illustrate how
PTC Mathcad Prime 3.0 is a useful tool for solving a user’s electrical engineering
problems.
Building Thermal
Analysis
1.1_Heat_Conduction_in_Multila
yered_Walls
1.2_Heat_Conduction_Through_
Insulated_Pipes
1.3_Walls_with_Internal_Heat_G
eneration
1.4_Conduction_Shape_Factors
_-_Pipe_Buried_in_Soil
1.5_Effect_of_Solar_Radiation_
on_Exterior_Walls
1.6_Thermal_Analysis_of_Unhe
ated_Spaces
10.1 Laplace Transfer Functions
for Building Thermal Control
10.2 Transient Building
Response Using Numerical
Inversion of Laplace Domain
Response
10.3_Thermal_Control_and_Tra
nsient_Response_of_a_Heating
_System
10.4_ZTransforms_and_Their_Applicati
on_to_Digital_Thermal_Control_
and_Simulation
11.1 Boiler, Piping System, and
Pump
11.2 Expansion Tank
11.3 Chimney System Design
2.1_Lumped_Parameter_Model_
and_the_Thermal_Network_Met
hod
2.2_Transient_Conduction_in_S
emi-Infinite_Slab
2.3_Semi-Infinite_Slab__Radiant_Heat_Flux_on_Floor
2.4_Semi-Infinite_Slab__Convective_Boundary_Conditio
n
2.5_Simple_Transient_Model_fo
r_a_Wall
3.1_Steady-State_TwoDimensional_Analysis_of_Therm
al_Bridges
3.2_Heat_Flow_in_Basements
3.3_Transient_OneDimensional_Finite_Difference_
Wall_Model
4.1_Principles_of_Steady_Perio
dic_Analysis_of_Wall_Heat_Flo
w
4.2_Thermal_Admittance_of_a_
Multilayered_Wall
4.3_SteadyPeriodic_Heat_Transfer_in_Multi
layered_Walls
5.1_Natural_Convection_in_Wall
_Cavities_and_Windows
5.2_Convective_Heat_Transfer_
Coefficients_in_Rooms
5.3_Wind_Heat_Transfer_Coeffi
ecient
5.4_Infiltration
6.1_Calculation_of_View_Factor
s_in_a_Rectangular_Room_with
_One_Window
6.2_Calculation_of_Thermal_Ra
diation_Properties
6.3.1_Combined_Raduation_Co
nvection_Heat_Transfer_in_Cavi
ties_and_Thermal_Resistance_o
f_Windows
6.3.2_Measurements_of_Air_Te
mperature
6.3.3_Combined_RadiationConvection_Heat_Loss_from_Pi
pe
6.3_Combined_Radiation_and_
Convection
7.1_Solar_Radiation_on_Incline
d_Surfaces
7.1_Solar_Radiation_on_Incline
d_Surfaces_PROBLEMS!!!
7.2_Solar_Properties_of_Windo
ws
7.3_Solar_Radiation_Transmitte
d_by_Windows
7.4 Solar Shading Calculations
and Design of Overhangs
8.1_Psychrometry_and_Thermo
dynamic_Properties_of_Moist_Ai
r
8.2_Properties_of_Moist_Air__Three_Cases
8.3_Thermal_Comfort_Calculati
on
9.1_First_Order_Room_Model
9.2_Detailed_SteadyPeriodic_Zone_Model_and_Heat
ing_Load_Calculations
9.3_SteadyPeriodic_Zone_Model_and_Cool
ing_Load_Calculations
Building Structural
Design
1.1_Simple_Span_Beams
1.2_Beams_with_Uniform_Load
_and_End_Moments
1.3_Single_Span_Beams__Shear_and_Moment
10.1_Material_Propreties,_Devel
opment,_and_Splice_Lengths
2.1 Composite Beam Section
Properties
2.2 Shear Capacity of Welded
Studs
2.3 Section Properties of BuiltUp Steel Sections
3.1 Continous One Way Slabs
3.2 Reinforced Concrete Beams
- Size Selection
3.3 Continous Beams - Flexural
Reinforcement
3.4_Shear_Reinforcement
3.5_Reinforced_Concrete_Secti
on_Properties
4.1_Rectangular_Tied_Columns
4.2_Effective_Lengths_and_Criti
cal_Loads
4.3_Moment_Magnification
5.1_Wide_flange_columns
5.2_Tubular_Steel_Columns
5.3_Steel_Pipe_Columns
5.4_Steel_Column_Base_Plates
5.5_Elastic_Effective_Length_Fa
ctors
5.6_Inelastic_Effective_Length_
Factors
6.1_Direct_Design_Moments_A
nd_Flexural_Reinforcement
6.2_Design_of_Flat_Plates_for_
Shear
7.1_Spread_Footings
7.2_Pile_Footings
7.3_Pile_Cap_Configurations
7.4_As_Driven_Pile_Group_Ana
lysis
8.1_Reinforced_Concrete_Retai
ning_Walls_with_Level_or_Surc
harged_Backfill
8.2_Reinforced_Concrete_Retai
ning_Walls_with_Sloping_Backh
ill
Chemical Engineering
2D Linear Interpolation
Automatic Optimisation
Controller Gains
Energy Transfer Across a Heat
Exchanger
Equilibrium Stages Required to
Separate Propane-Pentane
FitData_ Antoine Equation
Flowrate Between Two
Reservoirs Assisted By A Pump
Flow Through a Pipe
Flow Through a Pump
Heat Transfer Coefficient For
Pool Boiling
McCabe-Thiele Distillation
Pressure Drop in a Venturi
Pressure Drop of a Power-Law
Fluid
Pumps in Parallel
Single Component Vaporiser
Single Component Vaporiser
under PI Control
Specific Enthalpy of Ethanol
Tank Heating under PI Control
Tank Heating under PID Control
Transient Draining of Tanks
Transient Heat Exchange
Through Three Tanks In Series
Two-Phase Pressure Drop
Vapour-Liquid Equilibria
Custom Functions
Mathcad_HDF
mat2cplusplus
4 shape samples plus tree
WRITE DXF
4 shape samples plus tree
Generate STL3
Differential Equations
0 Introduction to Ordinary
Differential Equations
0.1 Solutions to Differential
Equations and Integral Curves
0.2 Classifying Differential
Equations
0.3 Initial Boundary Value
Problems
0.4 Some Applications That
Lead to Differential Equations
1 First Order Ordinary
Differential Equations and
Application
1.1 Separable Differential
Equations
1.1.1 Application Population
Dynamics
1.1.2 Application Newton's Law
of Cooling
1.1.3 Miscellaneous Applications
from Mechanics
1.2 Exact Differential Equations
1.3 Integrating Factors
1.4 Algebraically Homogeneous
Differential Equations
1.4A Detail for Section 1.4
1.5 Linear Differential Equations
1.5A Detail for Section 1.5
1.6 Numerical Methods for First
Order Ordinary Differential
Equations
1.6.1 Euler's Method
1.6.2 The Modified Euler Method
1.6.3 The Fourth Order RungeKutta Method
1.6.4 Fourth Order AdamsBashforth Method A Multistep
Method
1.6.4A Detail for Section 1.6.4
1.6.5 The Adams-Moulton and
Adams-Bashforth-Moulton
Predictor-Corrector Methods
1.7 Miscellaneous First Order
Differential Equations and
Applications
2 Second Order Linear
Differential Equations - Methods
and Applications
2.1 General Theory of Second
Linear Differential Equations
2.2 Homogeneous Linear
Differential Equations with
Constant Coefficients
2.3 Nonhomogeneous Linear
Differential Equations
2.3.1 The Method of
Undetermined Coefficients
2.3.2 The Method of Variation of
Parameters
2.4 Applications from
Mechanical Vibrations and
Electric Circuits
2.4.1 Free Vibrations of a
Mechanical System
2.4.2 Forced Vibrations of a
Mechanical System
2.4.3 RLC Circuits
2.5 Cauchy-Euler Second Order
Differential Equations
2.6 Numerical Methods for
Second Order Differential
Equations
2.6.1 The Runge-Kutta-Nystrom
Method
2.6.2 The Rayleigh-Ritz Finite
Difference Methods for
Boundary Value Problems
3 Systems of First Order Linear
Differential Equations - A Matrix
Approach
3.1 Review of Linear Algebra
Techniques
3.2 Homogeneous Systems of
Differential Equations with
Constant Coefficients
3.2.1 Real, Distinct Eigenvalues
3.2.2 Complex Eigenvalues
3.2.3 Repeated Eigenvalues
3.3 Nonhomogeneous Systems
of First Order Differential
Equations with Constant
Coefficients
3.4 Numerical Methods for
Systems of First Order
Differential Equations
3.4.1 Euler's Method
3.4.2 Fourth Order Runge-Kutta
Method
4 Higher Order Linear
Differential Equations
4.1 Higher Order Homogeneous
Linear DIfferential Equations
with Constant Coefficients
4.2 Higher Order
Nonhomogeneous Linear
Differential Equations
5 Systems of Nonlinear Ordinary
Differential Equations
5.1 Stability Properties of
Systems of Linear Differential
Equations
5.2 Stability Properties of
Systems of Nonlinear Differential
Equations
5.3 Predator - Prey Interactions
and Other Population Models
5.4 Nonlinear Pendulum
Dynamics and Other Problems
from Mechanics
6 Series Soulutions of Ordinary
Differential Equations
6.1 Power Series Solutions of
Differential Equations about
Ordinary Points
6.2 Power Series Solutions Near
a Regular Singular Point
6.3 Bessel's Differential
Equations and Bessel Functions
6.4 Legendre's Differential
Equation and Legendre
Polynomials
About This Differential Equations
Handbook
Electrical Power
Systems Engineering
1_1 Per Unit System
1_2 Voltage Drop Calculations
1_3a Load Flow Calculations Theory
1_3b Load Flow Calculations Application
1_4a Least-Cost Power
Transformer Sizing - Efficiency
1_4b Least-Cost Power
Transformer Sizing - Cost
Estimation
1_5a Power System Harmonic
Analysis - Introduction
1_5b Power System Harmonic
Analysis - Harmonic Interactions
1_6a Power Line Parameters Introduction
1_6b Power Line Parameters Sequence Impedance of Lines
2_1a Power System Faults Introduction
2_1b Power System Faults Application
2_2 Mid-Line Fault Calculations
2_3a Out-of-Step Protection Theory
2_3b Out-of-Step Protection Application
2_4 Introduction Motor Start-up
Protection
2_5a DC Motor Protection Modeling
2_5b DC Motor Protection Simulation
3_1a Review of System
Transients- Introduction
3_1b Review of System
Transients - Transient
Overvoltages
3_2a Transformer Energization Theory
3_2b Transformer Energization Modeling
3_2c Transformer Energization Compensation
3_3 Application of Surge
Arresters
About this E-book
Chptr1
Chptr2
Chptr3
Cover
Index
Table_1_6_1
Table_1_6_2
Table_3_2_1
Techind
Toc
Finite Element
Beginnings
1 Introduction
1_1 Definition and Basic
Concepts
1_2 The Process of
Discretization
1_2_1 Discrete Systems
1_2_1a Heat Flow
1_2_1b Electrical Networks
1_2_1c Fluid Networks
1_2_1d A Truss Structure
1_2_2 Continous Systems
1_2_2a A Soultion to a 1-D
Boundary Value Problem
1_2_3 Comparison to the Finite
Difference Method
1_3 Seven Basic Steps of the
Finite Element Method
1_3_1 Discretizing the
Continuum
1_3_1a Example of an
Automatic Solid Mesh
Generation
1_3_1b Example of a Manually
Created Solid Mesh
1_3_2 Selecting Interpolation
Functions
1_3_3 Finding Element
Equations
1_3_4 Assembling the Elements
1_3_5 Applying the Boundary
Conditions
1_3_6 Solving the System of
Equations
1_3_7 Making Additional
Computations
1_4 Brief History of the Finite
Element Method
2 The Discrete Approach_A
Physical Interpretation
2_1 Introduction
2_2 A simple Elastic Spring
2_3 A System of Springs
2_3_1 Step 1 - Discretize the
Spring System
2_3_2 Step 2 - Select
Interpolation Functions
2_3_3 Step 3 - Find the Element
Properties
2_3_4 Step 4 - Assemble the
Elements
2_3_5 Step 5 - Apply the
Boundary Conditions
2_3_6 Step 6 - Solve the System
of Equations
2_3_6a Equivalent Stiffness
2_3_7 Step 7 - Additional
Calculations
2_4 Assembling the Elements
2_4_1 An Example Finite
Element Mesh
2_4_2 The Assembly Algorithm
2_4_3 Properties of the
Assembled Stiffness Matrix
2_5 How to treat Boundary
Conditions
2_5_1 The Direct Method
2_5_2 The Payne and Irons
Technique
2_5_3 Matrix Partitioning
2_6 1D Discrete Finite Element
Algorithm in One Dimension
2_6_1 Application to Other
Discrete Systems
2_7 Truss Analysis
2_7_1 Element Stiffness Matrix
in Global Coordinates
2_7_2 Stiffness Derivation Using
Local Coordinates
2_8 A Finite Element Algorithm
for Trusses in Two Dimensions
2_8_1 Truss Algorithm with
Discussion
2_8_2 Truss Algorithm without
Discussion
3 Introduction to Finite Elements
of Elastic Continua
3_1 Introduction
3_2 Continuity of Elements in a
Continuum
3_3 Basic Concepts in Three
Dimensional Linear Elasticity
3_3_1 The Displacement Field
3_3_2 Strain Components
3_3_3 Stress Components
3_3_4 Constitutive Laws
3_3_5 The Principle of Minimum
Potential Energy
3_3_6 Plane Stress and Plane
Strain
3_4 A Triangular Element in
Plane Stress
3_5 The Direct Method for a
Triangular Element
3_5_1 Interpolation of
Displacement
3_5_2 Strain-Displacement
Equation
3_5_3 Stress-Strain Relationship
3_5_4 Equivalent Forces for a
Stress Field
3_5_5 The Stiffness Matrix
3_5_5a Summary of the Direct
Method
3_6 The Energy Method for
Elastic Elements
3_6_1 The Stiffness Matrix
3_6_2 How to treat Surface
Tractions
3_6_3 Final Remarks
3_7 Comparison of the Direct
and Energy Methods for Plane
Stress
3_8 A Finite Element Code for
Plane Strain
3_8_1 Plane Stress Code With
Discussion
3_8_2 Plane Stress Code
Without Discussion
4 Element Interpolation and
Shape Functions
4_1 Introduction
4_2 The Essence of the Finite
Element Method
4_2a Typical Problems in
Engineering
4_3 Linear Interpolation in One
Dimension
4_3_1 jts Piecewise Linear
Interpolation
4_3_1 Piecewise Linear
Interpolation
4_3_1a jts The Effect of a Finer
Mesh
4_3_1a The Effect of a Finer
Mesh
4_4 Higher-Order Polynomials in
One Dimension
4_4_1 Quadratic Interpolation in
One Dimension
4_4_2 Piecewise Quadratic
Interpolation
4_4_3 Generalization to Higher
Orders
4_5 Derivatives of Shape
Functions
4_5_1 Linear Interpolation and
Differentiation
4_5_2 Quadratic Interpolation
and Differentiation
4_5_3 Continuity Requirements
4_6 Polynomials in two
Dimensions
4_6_1 A Linear Triangular
Element
4_6_2 A Four Node Rectangular
Element
4_6_3 A Specialized
Rectangular Element
4_7_1a_Piecewise_Approximati
on_Using_Lagrange_Polynomial
s
4_7_1_1D_Lagrangian_Shape_Functions
4_7_2a Condensation of Internal
Nodes
4_7_2_2D_Lagrangian_Shape_Functions
4_7_3 2-D Serendipity Shape
Functions
4_7_3a Serendipity Shape
Functions for a Linear Element
4_7_3b Serendipity Shape
Functions for a Quadratic
Element
4_7_3c_Serendipity_Shape_Fun
ctions_for_a_Cubic_Element
4_8 Final Remarks
5 Mapped Elements
5_1 Introduction
5_2 Mapping in One Dimension
5_2_1 Differentiation snd
Integration
5_2_1a Newton-Cotes
Quadrature
5_2_1b Gaussian Quadrature
5_2_1c Summary
5_2_1s Element Length in
Symbolic Form
5_3 Mapping in Two Dimensions
5_4 Evaluation of Element
Equations
5_4_1 Transformation of
Derivatives
5_4_1a Linear Mapped
Elements
5_4_1b Quadratic Mapped
Elements
5_4_1c Cubic Mapped Elements
5_4_2 The Area Integral and
Numerical Integration
5_4_2a Integration of Mapped
Quadratic Elements
5_4_2d1 Transformation of an
Element of Area
5_4_3 Integration Along Element
Boundaries
5_5 Shape Functions Along
Element Boundaries
5_5_1 Reduction to One
Dimension on Boundaries
5_5_2 Evaluating a Distributed
Edge Load
5_6 Finite Element Code Using
Isoparametric Plane Stress
Elements
5_6_1 Linear Isoparametric
Plane Stress Elements
5_6_1
5_6_2 Quadratic Isoparametric
Plane Stress Elements
5_6_2
6 The Method of Weighted
Residuals
6_1 Introduction
6_2 Overview of Residual
Methods
6_2_1 Problem Definition
6_2_2 Approximate Solution
Using Trial Functions
6_2_2a Point Collacation
6_2_2b Subdomain Collcation
6_2_2c Galerkin's Method
6_2_3 Comparison of the Three
Methods
6_3 Applying Galerkin's Method
to Finite Elements
6_3_1 One Dimension Integration by Parts
6_3_2 Finite Element Code in
One Dimension
6_3_3 Two Dimensions Green's Theorem
6_4 Finite Element Applications
6_4_1 Laplace's Equations in a
Circular Disk
6_4_1a Linear Finite Element
Code for Laplace's Equation
6_4_2 Laplace's Equation in a
Rectangular Region
6_4_2a Quadratic Finite Element
Code for Laplace;s Equation
6_4_2b Detail of Exact Solution
6_5 Concluding Remarks
Mathcad Prime Tutorials
with Physics Examples
2_1basic
2_2basic
2_3basic
3_1varb
3_2varb
3_3varb
4_1solve
4_2solve
4_3solve
4_4solve
4_5solve
5_1graph
5_2graph
5_3graph
6_1what
6_2what
6_3what
6_4what
7_1data
7_2data
7_3data
8_final
Miscellaneous
Worksheets
Analyzing Process Capabilities
Applying the Momentum
Equation to Determine Water
Depth between Bridge Piers
Balancing the pH Balance and
Composition of Two Chemical
Soultions
Bearing Capacity and Maximum
Load of a Pier
Calculating Fault Current
Magnitude in PTC Mathcad
Calculating Force on a Truss
Connection Joint
Calculating the Tensile Stress
and Tensile Forces in the Bolt of
a Flange Pipe
Calculating Volume of a
Pressure Vessel
Calculating Water Amount for
Borehole Drilling
Choosing a Cam-Type Cluth to
Drive a Centrifugal Pump
Comparing Air Pressure and
Elevation for Air Volume
Calculations
Complex Numbers in PTC
Mathcad
Converting Nonlinear Systems to
Linear Ones
Cubic Spline Interpolation
D3Q3_Mod
Determining Suction Lift Pump
Height Using Solve Blocks
Developing IDF Curves from
Rainfall Data
Differential Algebraic Equations
in PTC Mathcad
Eigenvalues and Eigenvectors in
PTC Mathcad
Ergodicity in a Harmonic
Oscillator
Example of Solving a System of
Equations with Units
Example of Using Laplace
Transforms to Solve an ODE
Example of Using Symbolic
Math to Solve an ODE
Financial Risk Management in
PTC Mathcad
Finding Channel Height Channel
Width and Velocity of Water
Finding the Actual Force and
Brake Capacity of a Long-Shoe
Internal Drum Brake
Finding the Shear Force and
Bending Moment Along a Beam
Finite vs Infinite Life and Fatigue
Failure for a Steel Object
Fitting Hyperbolic Data
Gaussian Probability Distribution
in PTC Mathcad
Gauss_Newton Nonlinear
Regression
Generating Polar Histograms in
PTC Mathcad
Getting Started with Mathcad
Inventory Control Example in
PTC Mathcad
Linear and Angular Momentum
of Three Small Balls
Load Flow Calculations
Logistic Map and Ideal Random
Number Generator
Manufacturing Perfomance
Curves in PTC Mathcad
Measuring Traffic Flow and EAL
for Vehicles
Modeling of SAW Delay Lines
modelling the ocean
Monte Carlo Simulation of the
Streeter Phelps Equation
Natural Math and Units
Numeric and Symbolic Variables
in PTC Mathcad - Undefining a
variable
Numeric vs. Smbolic
Representations in PTC
Mathcad
Performing a Weighted Fit in
PTC Mathcad
Planar Regression in PTC
Mathcad
Plotting Frequency Distribution
Data in PTC Mathcad
Preparing Time Series for Data
Analysis
Preventing System Failures with
Reliability Testing for Pump
Systems
Random Triangles in the Unit
Square
Random Walks in PTC Mathcad
Response Surface Modeling in
PTC Mathcad
Risk Probability and Flood
Proofing a Bridge Over a River
RLC Circuit Analysis
Seeded Iteration in PTC
Mathcad
Solving Coupled ODEs in PTC
Mathcad
Solving Systems of Equations in
PTC Mathcad Using the Find
Function
The Weibull Distribution
Function in Reliability Statistics
Theory of the Capacitor revised
Three Phase Power System in
PTC Mathcad
Tracking the Development of a
Storm
Using Cubic Splines to
Determine Characteristics and
Efficiency of a Pump
Using Henrys Law and Solve
Blocks in Chemistry and
Environmental Engineering
Using the Finite Element Method
on Truss Structures
Visualisation of Typical Wellbore
Survey Data
Programming in PTC
Mathcad 3.0
1.0 What is Programming in PTC
Mathcad
2.1 Functions Definitions
2.2 Recursively Defined
Functions
2.4 If
2.5 Boolean Operators
3.0 The Include Worksheet
Operation
4.1 Introduction
4.10 Error Trapping
4.11 Error Messages
4.12 Programs and Symbolic
Computation
4.2 The Program Operator
4.3 Local Assignments
4.4 The if and else Operators
4.5 The for Loop
4.6 The while Loop
4.7 The continue and break
Operators
4.8 The return Operator
4.9 Type Checking
5.1 Dynamically Linked Libraries
6.10 Local Functions
6.11 Periodic Extensions
6.12 Working with Strings
6.2 The Greatest Common
Divisor
6.3 Pi
6.4 The 3N + 1 Problem
(Recursion)
6.6 Interesting (and Useful)
Functions
6.7 The Convex Hull
6.8 An Adaptive Quadrature
Algorithm
6.9 Set Theory
Topics in Electrical
Engineering
10_Delta_Modulation
11.1_ZTransform_and_Inverse_Transfo
rm
11.2_Linear_ConstantCoefficient_Difference_Equation
s
12_Algebraic_Codes
13.1_Analog_and_Digital_Lowp
ass_Butterworth_Filter
13.2_Analog_Elliptic_Filter_Desi
gn
13.3_Digital_Elliptic_Filter_Desig
n
14_Chebyshev_Polynomials
15_FIR_Filter_Design_by_Wind
owing
1_Field_Patterns_of_a_Uniform
_Linear_Antenna_Array
2.1_1-D_Waveguides__Striplines
2.2_2-D_Waveguides
2.3_3-D_Resonators
2.4_Circular_Waveguides__Coaxial_Lines
3.1_Impedance_as_a_Function_
of_z,_w
3.2_Reflection_Coefficient_Calc
ulations
3.3_The_Smith_Chart
4_Network_Analysis_Using_an_
Admittance_Matrix
5.1_Bode_Plots_and_Nichols_C
harts
5.2_Root-Locus_Technique
5.3_Polar_Plots_and_Nyquist_Pl
ots
6_Two-Port_Networks
7_American_Wire_Gauge_Table
8_Convolution_and_Deconvoluti
on
9_Digitizing_a_Signal
About_Topics_in_Electrical_Engi
neering