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PTC Mathcad Prime Worksheets Directory

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Worskeet nameCategoryDescription
Preventing System Failures with Reliability Testing for Pump SystemsMechanical EngineeringThis worksheet shows you how to determine the minimum number of pumps needed so that the probability of not having a system failure (system reliability) during a three year period is more than .95.
Random Triangles in the Unit SquareCalculus & DesThis worksheet using PTC Mathcad supposed that three points are independently and uniformly chose in a unit square to determine a unique triangle.

Risk Probability and Flood Proofing a Bridge Over a River

Civil EngineeringThis worksheet using PTC Mathcad provides you with a scenario of a bridge that is built over a river.
Tracking the Development of a Storm Using 30 Minute Interval ConvolutionStatistics & Data AnalysisThis worksheet shows you how to use a 15 minute UH hydrograph to estimate the runoff from a rainfall hyetograph, also called convolution.
Seeded Iteration in MathcadAlgebra & Geometry

This worksheet using PTC Mathcad shows you how to iterate through a variable based on an initial seed value.

Monte Carlo Simulation of the Streeter Phelps EquationStatistics & Data AnalysisThis worksheet using PTC Mathcad provides you with the basic Streeter Phelps equation which allows for the calculation of the dissolved oxygen deficit in a stream or river as a function of the distance downstream.
Load Flow CalculationsElectrical Engineering

This worksheet using PTC Mathcad shows you how to describe the network for a five-bus power system, using a matrix containing the transmitting and receiving bus numbers, the series impedance, and shunt admittance.  You can also capture shunt data and bus data in matrices.

Gaussian Probability Distribution in MathcadCalculus & DesThis PTC Mathcad worksheet walks you through an example of two random variables with joint density. It then visualizes the density function via surface and contour plots, and calculates the probability of an event.
Ergodicity in a Harmonic OscillatorStatistics & Data Analysis

This worksheet models a classical particle described by a Hamiltonian and is an example of how one can conduct experiments involving mathematics and physics in practical, realistic scenarios. In solving, the equations of motion from Nose-Hoover is used.

Developing IDF Curves from Rainfall DataStatistics & Data AnalysisThis worksheet using PTC Mathcad provides you with the data for twenty years of annual maximum rainfall depths for specified durations.
Applying the Momentum Equation to Determine Water Depth between Bridge PiersCivil Engineering

This worksheet shows the application of the momentum equation to determine the water depth between bridge piers. For this problem, the pier width, upstream depth of the river and velocity, and the drag coefficient of the piers are given. The worksheet shows you how to find the depth of flow downstream of the bridge piers so that the flow regime remains subcritical. 

The Weibull Distribution Function in Reliability StatisticsMechanical EngineeringThis worksheet using PTC Mathcad shows you how to define a 2-parameter Weibull distribution and shows you how the distribution can be influenced by scale and shape parameters.
Linear and Angular Momentum of Three Small BallsPhysics

This worksheet looks at three small spheres of equal mass that are connected to a small ring by three inextensible, inelastic cods of equal length and equal space.

Numeric vs. Symbolic Representations in PTC MathcadStatistics & Data AnalysisThis worksheet using PTC Mathcad Prime 2.0 shows you how to use an in-place evaluation of numeric definitions and a symbolic evaluation of results in functions.
Gauss- Newton Nonlinear RegressionStatistics & Data Analysis

This worksheet uses the Gauss-Newton regression method, applied in PTC Mathcad Prime,  in order to display curve-fitting non-linear models.

Theory of the Capacitor revisedPhysicsThis worksheet will solve a common 2-circuit physics problem to determine charges and energy, keeping in mind the Reciprocal System Theory and the conventional theory.
Using Henry's Law and Solve Blocks in Chemistry and Environmental EngineeringChemical Engineering

This worksheet is used to solve 6 equations 100 times and then plot each species as a function of the overlying partial pressure of H₂S, and determine how the H₂S partitions between the liquid and gas phases.


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