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PTC Mathcad Prime Worksheets Directory - Civil Engineering

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Worksheets marked with use PTC Mathcad premium features, otherwise they are Express compatible. All worksheets created in PTC Mathcad Prime 2.0.

 

 

Worksheet nameDescription
Anchored Bulkheads Computes net pressures on the bulkhead, required depth of embedment of the sheet piles, maximum bending moment and the bending moment at the tie rod anchor point.
Applying the Momentum Equation to Determine Water Depth between Bridge PiersThis 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.
As Driven Pile Group AnalysisLocates the centroid of axially loaded, as driven pile groups, calculates the eccentricities between the column center and the centroid of the pile group.
Beams with Uniform Load and End MomentsCalculates the maximum positive bending moment, the maximum deflection, and the points of inflection for a beam with a uniformly distributed load and applied end moments.
Calculating the Tensile Stress and Tensile Forces in the Bolts of a Flange PipeThis worksheet using PTC Mathcad looks at a problem where a portion of a pipe containing two discharges is bolted to the remainder at the flange and is interested in solving for the tensile forces in the bolts at the flange required to hold the pipe in place.
Comparing Air Pressure and Elevation for Air Volume CalculationsThis worksheet shows you how to compare the air pressure versus elevation when calculating the air volume in an air and aerated mud drilling.
Composite Beam Section PropertiesCalculates the horizontal shear and section properties for composite steel beam and concrete slab sections with solid slabs, composite steel decks, or haunches.
Continous Beams: Flexural ReinforcementCalculates bending moments for continuous rectangular or T-shaped beams using ACI coefficients and determines the required number and size of reinforcing bars.
Continous One Way SlabsCalculates bending moments using ACI coefficients, and determines the required reinforcing-bar spacing for continuous one way slabs.
Design of Flat Plates for ShearComputes the section properties of the peripheral shear area around square or rectangular, interior, exterior or corner columns, useable shear stress at factored load, and the shear stresses at the four corners of the shear area due to axial load and bending moments about one or both axes.
Direct Design Moments and Flexural ReinforcementCalculates the service loads, the factored loads, the bending moments and the required flexural reinforcement for two-way reinforced concrete slab systems of uniform thickness.
Effective Lengths and Critical Loads Calculates the effective length factors and critical loads for rectangular columns in braced or unbraced frames. A single story, all stories, or selected stories may be entered.
Elastic Effective Length FactorsComputes elastic effective length factors for braced or unbraced frames using PTC Mathcad solve blocks to solve the equations for effective length factors, eliminating the need to use the alignment chart in the AISC Standards Commentary.
Example of Solving a Set of Coupled, Non-linear Equations with UnitsThis worksheet illustrates PTC Mathcad's ability to solve a set of nonlinear coupled equations for several unknowns, where the unknowns each have different units.
Finding Channel Height, Channel Width, and Velocity of WaterThis worksheet using PTC Mathcad models the low water crossing geometry as a trapezoid to find the height, width, and velocity of the water in a channel.
Finding the Shear Force and Bending Moment Along a BeamThis worksheet using Mathcad provides you with an example of how the shear force and the bending moment along a simply supported beam can be determined as a function of the distance from one end.
Inelastic Effective Length FactorsComputes the stiffness reduction factors for inelastic behavior (Table A, page 3-8 of the AISC Manual), the stiffness ratios at the ends of the column (G values), and the effective length factor k for sidesway permitted.
Material Properties, Development, and Splice Lengths Determines factors and properties and defines constants required to compute shear strength, flexural strength, minimum thickness, and the development and splice lengths of reinforcing bars.
Measuring Traffic Flow and EAL for VehiclesThis worksheet using PTC Mathcad performs calculations to measure the traffic flow and evaluation assurance level for normal trucks and construction vehicles. The EAL is a security evaluation that measures functional, structural, and methodological efficiency for an IT system and in this instance is applied for vehicles.
Moment MagnificationComputes moment magnifiers for a square or rectangular column, either subject to sidesway, or braced to prevent appreciable sidesway. Moments computed by an ordinary first order frame analysis are then multiplied by the applicable moment magnifier to obtain the moments to be used for design.
Pile Cap ConfigurationsCalculates pile coordinates and pile cap plan dimensions for pile groups with 2 to 20 piles.
Pile FootingsDetermines minimum required pile cap thickness and the maximum size and minimum number of reinforcing bars for pile caps with from 2 to 20 piles in a group.
Rectangular Tied ColumnsDetermines the complete range of usable factored axial load and moment for a square or rectangular column of any size, reinforced with any number and size of reinforcing bars, and with any concrete and reinforcement strengths permissible.
Reinforced Concrete Beams: Size SelectionDetermines the sizes of rectangular beams to satisfy the flexural requirements, shear requirements and minimum thickness limits of ACI 318-89.
Reinforced Concrete Retaining Walls with Level or Surcharged Backfill Determines required footing width, footing thickness, wall thickness and reinforcement areas for retaining walls with a level backfill, with or without a surcharge.
Reinforced Concrete Retaining Walls with Sloping BackhillCalculates required footing width, footing thickness, wall thickness and reinforcement areas for retaining walls with sloping backfill.
Reinforced Concrete Section PropertiesCalculates gross section moment of inertia neglecting reinforcement, moment of inertia of the cracked section transformed to concrete, and effective moment of inertia for T-beams, rectangular beams, or slabs.
Risk Probability and Flood Proofing a Bridge Over a RiverThis worksheet using PTC Mathcad provides you with a scenario of a bridge that is built over a river.
Section Properties of Built-Up Steel SectionsComputes the moment of inertia and section modulus for a steel section that has at least one axis of symmetry built-up from plates.
Seism Loads Using ASCE Standard 7-93Computes the seismic forces, shears, and overturning moments at each level of a building, following the Equivalent Lateral Force Procedure of Section 9.4 of ASCE Standard 7-93.
Seismic Loads Using Uniform Building Code '91Calculates the seismic loads at each level of a building, following the static force procedure of the Uniform Building Code, 1991 Edition.
Shear Capacity of Welded StudsCalculates the shear capacity of 1/2", 5/8", 3/4" and 7/8"-diameter welded studs in a flat soffit slab of normal weight concrete.
Shear ReinforcementComputes the spacing for shear reinforcement of a concrete beam supporting a uniformly distributed load.The application uses the strength design method of ACI 318-89.
Simple Span Beams Computes the reactions and the maximum bending moment for simple span beams loaded with any practical number of uniformly distributed and concentrated loads.
Single Span Beams - Shear and MomentComputes the reactions and the maximum bending moment, and plots the shear and bending moment for a single span beam, with or without end moments, loaded with any practical number of uniformly distributed and concentrated loads.
Spread FootingsCalculates the footing thickness required for shear and flexure, and the maximum size and minimum number of reinforcing bars for square or rectangular column or wall footings.
Steel Column Base PlatesComputes section properties, slenderness ratios, actual and allowable axial and bending stresses, amplification factors and moment modifiers, and the beam-column interaction equations of the AISC Specification, for hollow circular tubes or pipe column sections with axial load and end moments about one or both axes.
Steel Pipe ColumnsComputes section properties, slenderness ratios, actual and allowable axial and bending stresses, amplification factors and moment modifiers, and the beam-column interaction equations of the AISC Specification, for hollow circular tubes or pipe column sections with axial load and end moments about one or both axes.
Tubular Steel ColumnsAllows the user to rapidly check trial sections by entering only the width, depth and tube wall thickness of trial sections. All necessary section properties and parameters required are then computed by the application.
Using Cubic Splines to Determine Characteristics and Efficiency of a PumpThis worksheet provides you with an example of a problem where you need to determine a pipe operation point in terms of head and discharge, operation efficiency, suitability of the pump chosen, and input horsepower to the pump.
Using the Finite Element Method on Truss StructuresThis PTC Mathcad calculation shows how to design a warehouse based on a steel beam structure. Truss design is commonly taught in engineering courses, but based on a hand calculations approach. Instead, this worksheet uses a robust and error-checking method that can be performed automatically and repeatedly.
Wide Flange ColumnsAllows the user to rapidly check trial sections and to determine that the standards of the AISC Specification, Eqs. (H1-1) and (H1-2), are met. For input, the user only needs to enter the flange width, the section depth and the section weight.
Wind Loads Using ASCE Standard 7-93Computes the wind pressures on the windward wall, leeward wall, side walls and roof, and the net wind pressures and loads at specified height intervals, for a square or rectangular building with a flat roof.

PTC Mathcad Prime Worksheets Directory - Electrical Engineering

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Want a free copy of PTC Mathcad Express? Download your copy today.

 

 

Collections of worksheets available for purchase on the PTC e-store:

 

 

Worksheets marked with use PTC Mathcad premium features, otherwise they are Express compatible. All worksheets created in PTC Mathcad Prime 2.0.

 

 

Worksheet nameDescription
Calculating Fault Current Magnitude in MathcadThis worksheet shows you how to compute bus faults on power systems. Most faults in power systems occur at points on the line some distance away from the substation bus.
Load Flow CalculationsThis 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.

Modeling of SAW Delay Lines

This worksheet using shows how you can use Mathcad to model SAW sensors in aerospace vehicles. The lack of support for transcendentals within the Differential Algebraic Equation framework prevents the use of the frequency domain analysis in analog extended Hardware Description Languages (HDLs).
RLC Circuit AnalysisThis worksheet using PTC Mathcad includes an example of an engineer designing a hi-fi speaker that must meet a certain frequency response. The horizontal trend must be over the whole spectrum of the audible range with a tolerance of +/- 1dB.
Theory of the Capacitor revisedThis 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.
Three Phase Power System in PTC MathcadThis worksheet discusses how to find the power distribution and parameters for power lines. Unbalanced power systems require analysis by the method of symmetrical components.

Building Structural Design

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Reinforced Concrete and Structural Steel Applications

Thomas P. Magner, P.E.

 

© 2004,1998,1994 PTC. All rights reserved.

 

If you would like to purchase the entire collection on a CD or single download, please visit the PTC e-store.

 

These worksheets solve typical problems encountered in the structural design of buildings. Each application includes a description of the problem, a description of the application, one or more sketches, an input section, a list of computed variables, and a section for calculations. Most of the applications have a summary section which list all input and computed variables.

 

Worksheets marked with use PTC Mathcad premium features, otherwise they are Express compatible. All worksheets created in PTC Mathcad Prime 2.0.

 

ChapterWorksheet NameDescription
1. Analysis of BeamsSimple Span Beams Computes the reactions and the maximum bending moment for simple span beams loaded with any practical number of uniformly distributed and concentrated loads.

Beams with Uniform Load and End MomentsCalculates the maximum positive bending moment, the maximum deflection, and the points of inflection for a beam with a uniformly distributed load and applied end moments.

Single Span Beams - Shear and MomentComputes the reactions and the maximum bending moment, and plots the shear and bending moment for a single span beam, with or without end moments, loaded with any practical number of uniformly distributed and concentrated loads.
2. Structural Steel BeamsComposite Beam Section PropertiesCalculates the horizontal shear and section properties for composite steel beam and concrete slab sections with solid slabs, composite steel decks, or haunches.

Shear Capacity of Welded StudsCalculates the shear capacity of 1/2", 5/8", 3/4" and 7/8"-diameter welded studs in a flat soffit slab of normal weight concrete.

Section Properties of Built-Up Steel SectionsComputes the moment of inertia and section modulus for a steel section that has at least one axis of symmetry built-up from plates.
3. Reinforced Concrete Slabs and BeamsContinous One Way SlabsCalculates bending moments using ACI coefficients, and determines the required reinforcing-bar spacing for continuous one way slabs.

Reinforced Concrete Beams: Size SelectionDetermines the sizes of rectangular beams to satisfy the flexural requirements, shear requirements and minimum thickness limits of ACI 318-89.

Continous Beams: Flexural ReinforcementCalculates bending moments for continuous rectangular or T-shaped beams using ACI coefficients and determines the required number and size of reinforcing bars.

Shear ReinforcementComputes the spacing for shear reinforcement of a concrete beam supporting a uniformly distributed load.The application uses the strength design method of ACI 318-89.

Reinforced Concrete Section PropertiesCalculates gross section moment of inertia neglecting reinforcement, moment of inertia of the cracked section transformed to concrete, and effective moment of inertia for T-beams, rectangular beams, or slabs.
4. Reinforced Concrete ColumnsRectangular Tied ColumnsDetermines the complete range of usable factored axial load and moment for a square or rectangular column of any size, reinforced with any number and size of reinforcing bars, and with any concrete and reinforcement strengths permissible.

Effective Lengths and Critical LoadsCalculates the effective length factors and critical loads for rectangular columns in braced or unbraced frames. A single story, all stories, or selected stories may be entered.

Moment MagnificationComputes moment magnifiers for a square or rectangular column, either subject to sidesway, or braced to prevent appreciable sidesway. Moments computed by an ordinary first order frame analysis are then multiplied by the applicable moment magnifier to obtain the moments to be used for design.
5. Structural Steel Columns - ASD DesignWide Flange ColumnsAllows the user to rapidly check trial sections and to determine that the standards of the AISC Specification, Eqs. (H1-1) and (H1-2), are met. For input, the user only needs to enter the flange width, the section depth and the section weight.

Tubular Steel ColumnsAllows the user to rapidly check trial sections by entering only the width, depth and tube wall thickness of trial sections. All necessary section properties and parameters required are then computed by the application.

Steel Pipe ColumnsComputes section properties, slenderness ratios, actual and allowable axial and bending stresses, amplification factors and moment modifiers, and the beam-column interaction equations of the AISC Specification, for hollow circular tubes or pipe column sections with axial load and end moments about one or both axes.

Steel Column Base PlatesCalculates the plan dimensions and thickness for optimum (least weight) base plates for axially loaded wide flange columns. The plan dimensions and thickness of the plates are optimized for the final rounded plate dimensions and thicknesses.

Elastic Effective Length FactorsComputes elastic effective length factors for braced or unbraced frames using PTC Mathcad solve blocks to solve the equations for effective length factors, eliminating the need to use the alignment chart in the AISC Standards Commentary.

Inelastic Effective Length FactorsComputes the stiffness reduction factors for inelastic behavior (Table A, page 3-8 of the AISC Manual), the stiffness ratios at the ends of the column (G values), and the effective length factor k for sidesway permitted.
6. Reinforced Concrete Flat PlatesDirect Design Moments and Flexural Reinforcement Calculates the service loads, the factored loads, the bending moments and the required flexural reinforcement for two-way reinforced concrete slab systems of uniform thickness.

Design of Flat Plates for ShearComputes the section properties of the peripheral shear area around square or rectangular, interior, exterior or corner columns, useable shear stress at factored load, and the shear stresses at the four corners of the shear area due to axial load and bending moments about one or both axes.
7. Reinforced Concrete Column and Wall FootingsSpread FootingsCalculates the footing thickness required for shear and flexure, and the maximum size and minimum number of reinforcing bars for square or rectangular column or wall footings.

Pile FootingsDetermines minimum required pile cap thickness and the maximum size and minimum number of reinforcing bars for pile caps with from 2 to 20 piles in a group.

Pile Cap ConfigurationsCalculates pile coordinates and pile cap plan dimensions for pile groups with 2 to 20 piles.

As Driven Pile Group AnalysisLocates the centroid of axially loaded, as driven pile groups, calculates the eccentricities between the column center and the centroid of the pile group.
8. Earth Retaining StructuresReinforced Concrete Retaining Walls with Level or Surcharged Backfill Determines required footing width, footing thickness, wall thickness and reinforcement areas for retaining walls with a level backfill, with or without a surcharge.

Reinforced Concrete Retaining Walls with Sloping BackhillCalculates required footing width, footing thickness, wall thickness and reinforcement areas for retaining walls with sloping backfill.

Anchored Bulkheads Computes net pressures on the bulkhead, required depth of embedment of the sheet piles, maximum bending moment and the bending moment at the tie rod anchor point.
9. Wind and Seismic Loads on BuildingsWind Loads Using ASCE Standard 7-93Computes the wind pressures on the windward wall, leeward wall, side walls and roof, and the net wind pressures and loads at specified height intervals, for a square or rectangular building with a flat roof.

Seism Loads Using ASCE Standard 7-93Computes the seismic forces, shears, and overturning moments at each level of a building, following the Equivalent Lateral Force Procedure of Section 9.4 of ASCE Standard 7-93.

Seismic Loads Using Uniform Building Code '91Calculates the seismic loads at each level of a building, following the static force procedure of the Uniform Building Code, 1991 Edition.
10. Reinforced Concrete Material Properties, Development, and Splice LengthsMaterial Properties, Development, and Splice Lengths Determines factors and properties and defines constants required to compute shear strength, flexural strength, minimum thickness, and the development and splice lengths of reinforcing bars

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PTC Mathcad - All Worksheets

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Many of the worksheets available for download on the community site have PTC Mathcad's read and write functionality within them. These regions will be flagged with a error upon recalculation of the worksheet if the files are not downloaded, saved, and referenced correctly. Download How to Ensure Your Filepath is Correct.

 

Worksheets marked with use PTC Mathcad premium features, otherwise they are Express compatible. All worksheets created in PTC Mathcad Prime 2.0 except where indicated.

 

 

Worksheet nameCategoryDescription
Analyzing Process CapabilitiesMechanical EngineeringThis worksheet using PTC Mathcad takes a normal distribution to represent the amount of products lying outside the tolerance limits.
Applying the Momentum Equation to Determine Water Depth between Bridge PiersCivil EngineeringThis 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.
Balancing the pH Balance and Composition of Two Chemical SolutionsChemical EngineeringThis worksheet first lists the equations necessary including the mass balance on Na and the charge balance. Next the worksheet identifies the proton condition and lists the terms of the given and unknown elements.
Bearing Capacity and Maximum Load of a PierMechanical EngineeringThis worksheet shows you how to calculate the bearing capacity factor for a specific pier, and then uses this calculation to find the maximum load of the pier.
Building Structural DesignCivil EngineeringThese worksheets solve typical problems encountered in the structural design of buildings.
Calculating Fault Current Magnitude in MathcadElectrical EngineeringThis worksheet shows you how to compute bus faults on power systems.Most faults in power systems occur at points on the line some distance away from the substation bus.
Calculating Force on a Truss Connection JointMechanical EngineeringThis worksheet using PTC Mathcad helps you to calculate the force and pressure on a connection joint within the specified dimensions of the joint for a particular material, and under particular trusses and weld lengths.
Calculating the Tensile Stress and Tensile Forces in the Bolts of a Flange PipeCivil EngineeringThis worksheet using PTC Mathcad looks at a problem where a portion of a pipe containing two discharges is bolted to the remainder at the flange and is interested in solving for the tensile forces in the bolts at the flange required to hold the pipe in place.
Calculating Volume of a Pressure VesselAlgebra & GeometryThis worksheet teaches you how to calculate the total volume of a chamber given the various geometries. An Excel component object allows you to specify the diameters/heights of the chamber at various points.
Calculating Water Amount for Borehole DrillingChemical EngineeringThis worksheet finds the particular amount of water in the air on an air drilling operation from thermodynamics, to be injected.
Choosing a Cam-Type Clutch to Drive a Centrifugal PumpMechanical EngineeringThis worksheet using PTC Mathcad shows you how to properly choose a cam-type clutch to drive a centrifugal pump.
Comparing Air Pressure and Elevation for Air Volume CalculationsCivil EngineeringThis worksheet shows you how to compare the air pressure versus elevation when calculating the air volume in an air and aerated mud drilling.
Complex Numbers in PTC MathcadAlgebra & GeometryThis worksheet using PTC Mathcad shows you how to work with complex numbers when using PTC Mathcad software.
Converting Nonlinear Systems to Linear OnesStatistics & Data AnalysisThis worksheet using PTC Mathcad teaches you how to change nonlinear problems into linear problems. You are able to make this change when a problem is mostly linear, and the nonlinear part appears in the same style throughout the worksheet.
Cubic Spline InterpolationAlgebra & GeometryThis worksheet helps to differentiate between regression and interpolation. Regression is a mathematical process that attempts to find a best-fit curve through a set of data.
Determining Suction Lift Pump Height Using Solve BlocksMechanical EngineeringThis worksheet using PTC Mathcad helps you to determine the maximum height that a pump can be placed under a reservoir, and maintain the operating conditions set by a pump manufacturer.
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.
Differential Algebraic Equations in PTC MathcadStatistics & Data AnalysisThis worksheet using PTC Mathcad shows you how to solve an ordinary differential equation whose solution has additional equality constraints beyond initial or boundary conditions.
Eigenvalues and Eigenvectors in PTC MathcadAlgebra & GeometryThis worksheet using PTC Mathcad shows you how to use the PTC Mathcad functions "eigenvals" and "eigenvecs" to find the eigenvalues and eigenvectors of a matrix.
Ergodicity in a Harmonic OscillatorStatistics & Data AnalysisThis 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.
Example of Solving a Set of Coupled, Non-linear Equations with UnitsCivil EngineeringThis worksheet illustrates PTC Mathcad's ability to solve a set of nonlinear coupled equations for several unknowns, where the unknowns each have different units.
Example of Using Laplace Transforms to Solve an ODEMechanical EngineeringIllustrates PTC Mathcad's ability to symbolically solve an ordinary differential equation using Laplace transforms. In this example, from dynamics, the worksheet demonstrates how to find the motion of a mass m attached to a spring and dashpot due to a known applied force.
Example of Using Symbolic Math to Solve an ODEStatistics & Data AnalysisThis worksheet illustrates PTC Mathcad's ability to symbolically solve an ordinary differential equation. In this example the worksheet shows you how to find the solution to a linear equation of first order in the canonical (standard) form using the integrating factor method.

Financial Risk Management in PTC Mathcad

Statistics & Data AnalysisThis worksheet employs assumptions about the distribution of risk to simulate expected rates of default for the purposes of financial planning.
Finding Channel Height, Channel Width, and Velocity of WaterCivil EngineeringThis worksheet using PTC Mathcad models the low water crossing geometry as a trapezoid to find the height, width, and velocity of the water in a channel.
Finding the Actual Force and Break Capacity of a Long-Shoe Internal Drum BrakeMechanical EngineeringThis worksheet using PTC Mathcad shows you how to determine the actuating force and the brake capacity of a long-shoe internal brake.
Finding the Shear Force and Bending Moment Along a BeamMechanical EngineeringThis worksheet provides you with an example of how the shear force and the bending moment along a simply supported beam can be determined as a function of the distance from one end.
Finite vs. Infinite Life and Fatigue Failure for a Steel ObjectMechanical EngineeringThis worksheet using PTC Mathcad provides an example of how to calculate for the fatigue failure of a rotating beam specimen made of ductile steel.
Fitting Hyperbolic DataStatistics & Data AnalysisThis worksheet using PTC Mathcad helps you to fit a hyperbolic function to collected data. This worksheet shows you how you can use the "minimize" solver function to fit a simple hyperbolic function to some data.
Gauss- Newton Nonlinear RegressionStatistics & Data AnalysisThis worksheet uses the Gauss-Newton regression method, applied in PTC Mathcad Prime,  in order to display curve-fitting non-linear models.
Gaussian Probability Distribution in MathcadStatistics & Data AnalysisThis 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.
Generating Polar Histograms in PTC MathcadStatistics & Data AnalysisThis worksheet teaches you how to plot a polar histogram using PTC Mathcad software.
Inventory Control Example in PTC MathcadStatistics & Data Analysis

This worksheet using PTC Mathcad shows you how to solve a classical inventory control problem commonly found in operational research.

Linear and Angular Momentum of Three Small BallsMechanical EngineeringThis 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.
Load Flow CalculationsElectrical EngineeringThis 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.
Logistic Map and Ideal Random Number GeneratorStatistics & Data AnalysisThis worksheet using PTC Mathcad software describes the search for an ideal uniform random number generator, ultimately proving that the logistic random number generator simulates the behavior of the ideal uniform random number generator.
Manufacturing Performance Curves in MathcadStatistics & Data AnalysisThis worksheet discusses how the output of a manufacturing process can be sampled to control the quality of the items shipped and how this sampling can be performed by plotting three performance curves.
Measuring Traffic Flow and EAL for VehiclesCivil EngineeringThis worksheet using PTC Mathcad performs calculations to measure the traffic flow and evaluation assurance level for normal trucks and construction vehicles.
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.
Numeric and Symbolic Variables in PTC Mathcad - Undefining a variableStatistics & Data AnalysisThis worksheet explains the elements of variables and their role in PTC Mathcad software. Specifically, this worksheet teaches you how to undefine a variable using two simple methods.
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.
Performing a Weighted Fit in PTC MathcadStatistics & Data AnalysisThis worksheet using PTC Mathcad shows you how to fit a set of sample data by using the Least Squares Error (LSE) method to minimize the sum of squares error function normalized by a weighting function.
Planar Regression in MathcadStatistics & Data AnalysisThis worksheet using software provides you with a sample data set that then shows you how to create a matrix containing the x and y coordinates of the data set using the augment function.  It also shows you how to perform a regression on the data using the "regress" functions.
Plotting Frequency Distribution Data in PTC MathcadStatistics & Data AnalysisThis worksheet shows you how to use PTC Mathcad to calculate a frequency distribution for values in a vector that fall in a specified number of bins within the range of the data, and how to plot the resulting histogram.
Preparing Time Series for Data AnalysisStatistics & Data AnalysisThis worksheet shows how you can import a data file consisting of time series data into PTC Mathcad.
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 SquareStatistics & Data AnalysisThis worksheet using PTC Mathcad supposed that three points are independently and uniformly chose in a unit square to determine a unique triangle.
Random Walks in PTC MathcadStatistics & Data AnalysisThis worksheet using PTC Mathcad shows you how to simulate a random walk and visualize it through the use of graphs and charts.
Response Surface Modeling in PTC MathcadStatistics & Data AnalysisThis worksheet using PTC Mathcad provides you with an example of a box-behnken experiment with three parameters at three levels.
Risk Probability and Flood Proofing a Bridge Over a RiverCivil EngineeringThis worksheet using PTC Mathcad provides you with a scenario of a bridge that is built over a river.
RLC Circuit AnalysisElectrical EngineeringThis worksheet includes an example of an engineer designing a hi-fi speaker that must meet a certain frequency response. The horizontal trend must be over the whole spectrum of the audible range with a tolerance of +/- 1dB.
Seeded Iteration in MathcadAlgebra & GeometryThis worksheet using PTC Mathcad shows you how to iterate through a variable based on an initial seed value.
Solving Coupled ODEs in PTC MathcadStatistics & Data AnalysisThis worksheet sets up a set of coupled ordinary differential equations. A matrix of the functions for the x/y positions and velocities is defined.  It's then passed to the RKadapt function.  The x/y positions are plotted with a 3D plot of the sinusoidal humps.
Solving Systems of Equations in Mathcad Using the Find FunctionStatistics & Data AnalysisThis worksheet shows you how to use the Find Function in PTC Mathcad software. The Find Function can be used to solve linear and nonlinear systems.
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.
Theory of the Capacitor revisedElectrical EngineeringThis 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.
Three Phase Power System in PTC MathcadElectrical EngineeringThis worksheet discusses how to find the power distribution and parameters for power lines. Unbalanced power systems require analysis by the method of symmetrical components.
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.
Using Cubic Splines to Determine Characteristics and Efficiency of a PumpCivil EngineeringThis worksheet provides you with an example of a problem where you need to determine a pipe operation point in terms of head and discharge, operation efficiency, suitability of the pump chosen, and input horsepower to the pump.
Using Henry's Law and Solve Blocks in Chemistry and Environmental EngineeringChemical EngineeringThis 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.
Using the Finite Element Method on Truss StructuresCivil EngineeringThis worksheet shows how to design a warehouse based on a steel beam structure. Truss design is commonly taught in engineering courses, but based on a hand calculations approach. Instead, this worksheet uses a robust and error-checking method that can be performed automatically and repeatedly.
Modelling the OceanOil & Gas This worksheet is created in PTC Mathcad Prime 3.0 and modelles the ocean as a sum of simple sinusodial waves with different heights, lengths and directions.
Visualisation of Typical Wellbore Survey Data
Oil & GasThis worksheet is created in PTC Mathcad Prime 3.0 and converts real world coordinates to cartesian form to visualise a well bore drill path.

Programming in PTC Mathcad Prime 3.0

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Loosely, a program is a sequence of steps, bound together in some fashion, that accomplishes a specified task. A typical mathematical program takes some inputs and returns some outputs. But how do you do this effectively inside Mathcad?

 

Mathcad programming means different things to different people. It is possible to write logic-driven programs inside the Mathcad language - these will be visible as part of your document and are the quickest way to prototype a desired multi-step behavior in Mathcad. You can also incorporate C, C++, or FORTRAN code as built-in functions. Doing so can be a useful technique if you have legacy or third-party code that you'd like to execute as part of a Mathcad document.

 

This module is designed to show you the breadth of opportunity for programming in and with Mathcad. We will demonstrate many of Mathcad's computational and connectivity features with lots of tips and examples along the way.

Reference Tables

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Full list of PTC Mathcad Worksheets

 

The Reference Tables worksheet collection is a resource of ready-made Mathcad worksheets that contain:

 

  • Tables of Properties—such as sound velocity, density, electrical resistivity, and molecular weight—for Metals, Solids, Liquids, Gases
  • Fundamental Constants and their values
  • Commonly used formulas and identities
    • Calculus
    • Derivative formulas
    • Integral formulas
    • Trigonometric Identities
  • Geometry
    • Areas and Perimeters
    • Volumes and Surface Areas
  • Mechanics
    • Centroids
    • Mass Moments of Inertia
  • Electromagnetics
    • Capacitance
    • Oscillators
  • Fundamental Physics


Delta Processing -Ammonia stripping calculations vs observed.xmcd

Saving the state of controls.zip


Extra Components and Controls

Date Calendar and Time functions.mcd

Cross Talk of a Signal Between Copper Traces

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Dimensions and geometry of the 2 selected copper traces are typed into Mathcad so that the cross talk associated with a signal sent through the traces can be calculated. This will enable the Design Testers to verify the cross talk is within the acceptable range as defined in the Design Requirements.

Impedance Calculation Along a Copper Trace

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Dimensions of the selected copper trace are typed into Mathcad so that the impedance associated with a trace can be calculated.

Propagation Delay of a Signal Along a Copper Trace

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Dimensions of the selected copper trace are typed into Mathcad so that the propagation delay associated with a signal sent through the trace can be calculated. This will enable the Design Testers to verify the propagation delay is within the acceptable range as defined in the Design Requirements.

Voltage Drop Calculation

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This worksheet will enable Design Testers to verify the voltage drop is meeting the Design requirements. Constants for resistance from CRC Handbook of Chemistry and Physics, 57th Edition, 1976-1977, CRC Press, p. F167-168

van-der-Pol.mcd


MMkinetic.mcd

fhn.mcd

IBL file generator

PTC Mathcad Prime Worksheets Directory - Chemical Engineering

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Full list of worksheets

 

Full topic list

 

 

Want a free copy of PTC Mathcad Express? Download your copy today.

 

 

Collection of worksheets:

 

 

Worksheets marked with use PTC Mathcad premium features, otherwise they are Express compatible. All worksheets created in PTC Mathcad Prime 2.0.

 

 

Worksheet nameDescription
Balancing the pH Balance and Composition of Two Chemical SolutionsThis worksheet first lists the equations necessary including the mass balance on Na and the charge balance. Next the worksheet identifies the proton condition and lists the terms of the given and unknown elements. Next, the worksheet shows how you can define Na as the solution of the solve block and identify the independent variable.
Calculating Water Amount for Borehole DrillingThis worksheet finds the particular amount of water in the air on an air drilling operation from thermodynamics, to be injected.
Using Henry's Law and Solve Blocks in Chemistry and Environmental EngineeringThis 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.
Using PTC Mathcad for Water Chemistry Problems
This worksheet using PTC Mathcad helps you to determine the composition and pH of water saturated with calcite and subject to a range of CO2 partial pressures.
Quantum harmonic oscillator

Consider a quantum mechanical harmonic oscillator of reduced mass μ and spring constant k

oscillating at its fundamental frequency ν.

Henry's Law constant

The vapor pressure (PA) of acetone in a mixture of acetone and chloroform was measured at 35°C as a function of the mole fraction of acetone (xA). Calculate the Henry's law constant for acetone.

3D Plots in Mathcad Prime 2.0

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