Mathcad Use Cases by Vertical 20 Years of

Mathcad – Use Cases by Vertical

20 Years of Helping Customers Create Great Products Aerospace/ Defense Automotive High Tech/ Electronics

Mathcad Vertical Markets Civil Engineering Oil & Gas Power Generation Process Industries Government Oil

Top Companies In Electronics & High Tech Use Mathcad Equipment Semiconductor Sub-Systems / Peripherals

Calculations are fundamental to businesses in many industries Discrete Manufacturers PING John Deere Motorola BMW Nypro, Inc Consumer Products Discrete Manufacturing Opportunity: Use Mathcad to improve the creation and documentation of critical engineering calculations – Automate the creation, capture, and reuse of IP Application: Sport Equipment Drive engineering excellence High Tech Create, capture and collaborate engineer critical info Automotive Improve Product Development Efficiency leveraging IP Medical Devices Aerospace © 2006 PTC

Calculations are fundamental to businesses in many industries Civil Engineering CH 2 M Hill HNTB Bechtel Parsons URS Transportation Waste Water Management Environmental Engineering Plant & Building Construction Civil Engineering and Construction Companies Opportunity: Use Mathcad to design, certify & maintain large projects. Application: Structural design and analysis – Calculate loading, shear and moment – Calculate and verify weld stress analysis – Analyze wall stability and wall movement for rebar design Maintenance Operations © 2006 PTC

Calculations are fundamental to businesses in many industries Oil & Gas Schlumberger Saipem Shell Oil Technip Offshore Hyundai Heavy Pipeline Design Platform Development Offshore Exploration Oil & Gas Opportunity: Use Mathcad to design, certify & maintain large projects. Application: Structural analysis and design of offshore platforms Calculations of vibrations induced by waves & currents on undersea pipelines. Analyze pump specifications and system requirements Basin Modeling Gas to Liquid Processing © 2006 PTC

Calculations are fundamental to businesses in many industries Power Generation Sargent & Lundy Siemens Power Southern Co. Westinghouse Hydro Quebec Gas, Steam, Electric & Nuclear power plant design Corrective & Preventive maintenance Power Generation • Opportunity: Use Mathcad to design, certify & maintain large projects. – Gas, Steam, Wind, and Turbo Powered systems • Application: System design and analysis Calculate heat recovery for steam generators Emissions analysis, control and documentation Power Distribution Generator Design © 2006 PTC

Calculations are fundamental to businesses in many industries Process Industries Eli Lilly BASF Du. Pont Procter & Gamble Praxair Regulatory Compliance Drug Discovery Process Industries Opportunity: Use Mathcad’s natural math notation to document critical process calculations and analyses Application: Design and analysis of processing plants Regulatory Compliance Facilities Design – Control and manage process critical calculations Product Innovation – Improve efficiency of documentation capture and submission Medical Packaging Plastics Manufacturing © 2006 PTC

Calculations are fundamental to businesses in many industries Government Sandia Nat’l Labs. Florida DOT NASA Knolls Atomic Power Dept. of Aircraft Engine Defense Design Government Opportunity: Use Mathcad to improve the engineering calculation and documentation process – Automate the creation, capture, and re-use of IP Application: Weapon Systems Analysis Engineering analysis and design Bridge & Highway Development Performance and test documentation and analysis Nuclear Research Requirements collaboration and certification Energy Surety Defense Analysis © 2006 PTC

Mathcad for Machine Design and Analysis Mathcad’s extensive libraries provide advanced math capabilities for Machine Design and Analysis: Energy stored in a rotating flywheel Shaft torque, horesepower and driver efficiency Pulley and gear loads on shafts Shaft reactions and bending moments Solid shafts in bending and torsion Deflection of a shaft carrying concentrated and uniform loads Speeds of gears and gear trains Selection of gear dimensions Selection of a shaft coupling for torque and thrust loads Curved spring design analysis Life of cyclically loaded mechanical springs © 2006 PTC

Shaft Reactions and Bending Moments A 30 -ft long steel shaft weighing 150 lb/ft of length has a 500 -lb concentrated gear load 10 ft from the left end of the shaft and a 2000 -lb concentrated pulley load 15 ft from the right end of the shaft. Determine the end reactions and the maximum bending moment in this shaft. © 2006 PTC

Hydrostatic Multi-direction Bearing Analysis Determine the lubricant pressure and flow requirements for the multi-direction hydrostatic bearing shown in Figure 18 (below) if the vertical coplanar forces acting on the plate are 164, 000 lbf upward and downward, respectively, given the lubricant viscosity, film thickness, and bearing length (below). © 2006 PTC

Hydrostatic Thrust Bearing Analysis An oil-lubricated hydrostatic thrust bearing must support a load of 107, 700 lbf. This vertical bearing has an outside diameter of 16 inches and a recess diameter of 10 inches. © 2006 PTC

Mathcad for Metalworking Mathcad’s extensive libraries provide advanced math capabilities for Metalworking analysis: Total element time and total operation time Cutting speeds of various materials Dimensions of tapers and dovetails Angle and length of cut from given dimensions Time and power to drill, bore, countersink and ream Threading and tapping time Turret-lathe power input Milling cutting speed, time, feed, teeth number and horsepower Metal plating time and weight Shrink- and expansion-fit analyses Determining Brinell Hardness Optimum lot size in manufacturing © 2006 PTC

Cutting Speeds for Various Materials What spindle rpm is needed to produce a cutting speed of 150 -ft/min on a 2 -in diameter bar? What is the cutting speed of a tool passing through 2. 5 -in diameter material at 200 rpm? Compare the required rpm of a turret-lathe cutter with the available spindle speeds. © 2006 PTC

Angle and Length of Cut from Given Dimensions At what angle must a cutting

Determining Brinell Hardness A 3000 -kg load is put on a 10 mm diameter ball to determine the Brinell hardness of a steel. The ball produces a 4 -mmdiameter indentation in 30 seconds. What is the Brinell hardness of the steel? © 2006 PTC

Shrink- and Expansion-Fit Analyses © 2006 PTC

Mathcad - Solid. Works Integration © 2006 PTC

Mathcad Functions for Electrical Engineering Mathcad’s extensive function libraries provide advanced math capabilities for various Electrical Engineering sub-disciplines Circuit Analysis Microelectronics Communications Electromagnetics Power Systems Control Systems Signal Processing Image Processing © 2006 PTC

Electrical Circuit Analysis and Microelectronics • Circuit Modeling and Response Calculations Natural Response, Step Response, Steady-State Analysis Laplace Transforms, Transfer Functions, Bode Plots Impedance Calculations (Real and Complex Impedances) Voltage Drops across and Current Flow through components Power Dissipation and Energy Distribution Calculations • Microelectronic Component Behavior Calculations associated with Transistors, Capacitors, Inductors, Resistors, Diodes Optimization Studies Reliability Analysis Gain vs. Frequency for a closed loop system © 2006 PTC

Communications and Electromagnetics • Communication Theory Analog and Digital Modulation, Demodulation Amplitude, Phase, Frequency Calculations Sampling and Filtering of Carrier Waveforms Bandwidth Analysis • Electromagnetic Theory Magnetic Flux and Magnetic Field Calculations Electromagnetic Energy Transfer Maxwell’s Equations Properties of Wave Guides Solution Surface for Wave Equation Transmission Line Calculations © 2006 PTC

Power System Design • Power Transmission and Distribution Load Flow Calculations, Transformer Sizing, Harmonic Analysis, Line Parameters • Power System Protection System Faults, Mid-Line Faults, Out-of-Step Protection, Motor Protection • Power System Electrical Transients Transformer Energization Modeling and Compensation, Transformer Impedances Flux Response of a Single Phase Transformer © 2006 PTC

Control Systems and Linear Feedback Circuits • Transfer Functions and Frequency Response Logarithmic plots of (open loop) gain and phase shift Laplace and Inverse Laplace Transforms Bode Plots (Magnitude and Phase) Pole and Zero Determination Gain Margin and Phase Margin Crossover and Resonant Frequency Calculations Open loop transfer function for a given system © 2006 PTC

Signal Processing • Signals and Systems Convolution, Correlation, Quantizing, Noise, Magnitude and Phase • Fast Fourier Transforms Time Domain Analysis, Frequency Domain Analysis, Filtering, Correlation • Digital Filtering Filter Design, Filter Gain, Time Response, Interpolation, Sampling • Additional Transforms Hartley Transform, Sine and Cosine Transforms, Walsh Transform, Hilbert Transform, z-Transform Lowpass filtering of a square pulse signal using the FFT and windowing © 2006 PTC

Image Processing • Image Manipulation Noise Addition, Binarization, Histograms, Level Mapping, Scaling, Clipping, Thresholding, Inversion • Image Combination Replacing, Blending, Masking • Geometric Transforms Flipping, Rotating, Translating, Bilinear Warping, Zooming • Convolution and Filtering The Sobel Edge Detection algorithm applied to a polished silicon wafer shows boundary edges of silicone oil. 2 D Correlation, Smoothing • Image Analysis Edge Finders, Feature Extraction, Segmentation © 2006 PTC

Circuit Analysis Comparison: Excel vs. Mathcad The two slides that follow illustrate a comparison between Excel and Mathcad in performing a Crossover Analysis on a First Order RLC Circuit. There are many differences. Particular items to note are listed below. • Calculation Clarity • Units: Unawareness vs. Intelligence • Format of Equations: Character Strings vs. Natural Math Notation • Workspace: Structured Table vs. Whiteboard Interface • Ease of Documentation for Knowledge Capture and Report Creation © 2006 PTC

Crossover Analysis for a First Order RLC Circuit Using MS Excel © 2006 PTC

Crossover Analysis for a First Order RLC Circuit Using Mathcad Equation for Total Impedance

Mathcad Integrates with Labview • Mathcad integrates with Labview using each application’s API • Integration is based on bidirectional communication Mathcad can be used to set simulation parameters in Labview data can be acquired into Mathcad for post-processing and analysis Mathcad’s Curve Fitting and Data Analysis Functions can be used to interpolate and analyze simulation data from Labview. © 2006 PTC

Mathcad Integrates with Matlab • Mathcad integrates with Matlab using the Matlab Component Data from Mathcad AND Matlab is used to create report in Mathcad Enables import and export of Matlab data files Enables execution of Matlab scripts using data from Mathcad and the return of results to the Mathcad worksheet MATLAB Rotational matrix R is used to transform Buckyball coordinates. Updated matrix is sent to Matlab for sparse matrix processing and drawing. Report is created in Mathcad. © 2006 PTC

Engineering Design Application: Circuit Design Mathcad is used to Solve nodal equations that describe the current and voltage flow in RLC (and some times op-amp) circuits Solve linear system of equations and create Bode (frequency response) plots and root locus plots associated with a wide range of input frequencies Conduct network analysis, feedback controls, and circuit stability analysis © 2006 PTC

Engineering Design Application: Signal Processing Mathcad is used to 14. 0 Analyze 1 D signals from sound, sonar, radar, etc. Conduct signal filtering and Fast Fourier Transforming to extract data Remove noise, reconstruct signals (like designing an FM band tuner, for example), and process the signals Perform data analysis: Parametric fitting, quality of regression, etc. © 2006 PTC

Engineering Design Application: Microwave Circuit Design Mathcad is used to Analyze level of electromagnetic radiation output from circuit board Analyze electromagnetic interference (EMI) Conduct transmission line analysis © 2006 PTC

Engineering Design Application: Optical Communications Mathcad is used to Determine the number of signal reconstructor and amplifiers required on a fiber line when transmitting a light pulse Determine how much spreading occurs on the pulse Conduct laser power and mode calculations © 2006 PTC

Mathcad Example Content to Support EE Application Areas Electrical Engineering Library provides examples for EE application areas. The EE Library includes the following e. Books: Topics in Electrical Engineering Electrical and Electronic Engineering Electrical Power Systems Engineering Quicksheets provide examples spanning functional math categories that form the basis for EE design calculations. The Quicksheet collection includes the following topics: Vectors and Matrices Graphing and Visualization Calculus and Differential Equations Data Analysis Using Mathcad with other Applications © 2006 PTC

Mathcad – Lab. VIEW Integration © 2006 PTC

Mathcad for Architecture Engineering and Construction (AEC) Mathcad’s robust math engine and E-Libraries provide advanced math capabilities for various AEC disciplines Highway design Bridge & tower construction Retaining wall structural analysis Waste disposal systems Environmental: water and air pollution control Pipelines Irrigation Transit: railroads, airports © 2006 PTC

Mathcad E-Libraries for AEC Roark’s Formulas for Stress and Strain • Beams, straight bars, curved beams, shells, pressure vessels and pipes • Formulas for torsion, bending, deflection, shear, slope and moments Building Structural Design • Span beams, concrete slabs, columns, wall footings and earth retaining structures • Formulas for wind loads, seismic loads, uniform loads, shear capacity, elasticity calculations Building Thermal Analysis • Multi-layered walls, insulated pipes, semi-infinite slabs, boilers, chimneys, wall cavities, windows , floor and ceiling • Formulas for heat conduction, solar radiation, radiant heat flux, convection, thermal control and transient response © 2006 PTC

Mathcad for Structural Engineering Mathcad’s extensive libraries provide advanced math capabilities for Building Structural Design: Analysis of Beams Structural Steel Beams Reinforced Concrete Slabs and Beams Reinforced Concrete Columns Structural Steel Columns – ASD Design Reinforced Concrete Flat Plates Reinforced Concrete Columns and Wall Footings Earth Retaining Structures Wind and Seismic Loads on Buildings Reinforced Concrete Material Properties, Development and Splice Lengths © 2006 PTC

Single Span Beams – Shear and Moment Compute the reactions and the maximum bending moment, and plot 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 © 2006 PTC

Composite Beam Section Properties Calculate the horizontal shear and section properties for composite steel beam and concrete slab sections with solid slabs, composite steel decks, or haunches © 2006 PTC

Reinforced Concrete Retaining Walls with Level or Surcharged Backfill Determine required footing width, footing thickness, wall thickness and reinforcement areas for retaining walls with a level backfill, with or without a surcharge © 2006 PTC

Mathcad for Structural Engineering Mathcad’s extensive libraries provide advanced math capabilities for Building Thermal Analysis: Steady-State Heat Conduction in Walls and Pipes Transient Heat Conduction in Buildings Analysis of Heat Conduction in Buildings with the Finite Difference Method Periodic Heat Flow in Multilayered Walls Convection and Infiltration in Rooms and Cavities Radiation Heat Transfer in Buildings Solar Radiation Psychrometry and Thermal Comfort Heating and Cooling Load Calculations Building Thermal Control Heating – Hydronic System Sizing Analysis of Radiant Heating Systems © 2006 PTC

Heat Conduction Through Insulated Pipes As in multilayered walls, conduction is assumed to be one-dimensional. The thermal resistance of an uninsulated cylinder of inner radius ri and outer radius ro is given by For a pipe with one layer of insulation (conductivity kins), thermal resistance of the insulation is calculated in a similar manner, but with ri and ro being the inner and outer radii of the insulation © 2006 PTC

Conduction Shape Factors – Pipe Buried in Soil Conduction shape factors are convenient parameters for expressing the effect of geometry in two-dimensional heat transfer problems, usually involving a source and a sink. The conduction shape factor S is defined based on the relationship: where q is heat flow, k thermal conductivity and T the temperature difference between source and sink. The factors S have been determined for various situations with analytical techniques. © 2006 PTC

Transient Conduction in Semi-Infinite Slab © 2006 PTC

Mathcad in AEC – Autodesk Auto. CAD integration © 2006 PTC

Mathcad in AEC – Autodesk Revit integration © 2006 PTC

Mathcad in AEC – Bentley Microstation integration © 2006 PTC

Mathcad in Strategic Industries Energy – Oil and Gas: Optimization of Offshore Drilling Hole Size, Drilling Angles, Cuttings Concentration, Drill Pump Flowrate, Transport Efficiency, Fracture Effects State and Local Government: DOT Bridge Design, Structures, Code Compliance Transportation: Airlines Guidance and Control System Algorithms – Verification and Validation Suppliers/Partners Pharmaceuticals Pharmaco. Kinetic Calculations Pharmaco. Dynamic Calculations – ADME: Extent of Absorption, Volume Distribution, Rate of Metabolism, Rate of Excretion 53 © 2006 PTC

SKF Standardizes on Mathcad – Manufacturing P R O F I L E SKF, London, Sweden Leading global supplier of rolling bearings and seals CHALLENGES To Efficiently Design a Revolutionary New Bearing Type create a bearing that could take angular misalignment as well as axial displacement and higher load Meet quality assurance objectives ACTIONS Conducted cost-justification process to implement enterprise-wide solution of Mathcad RESULTS Using Mathcad this way, SKF has been able to efficiently create hundreds of designs of roller bearings in sizes ranging from 50 millimetres to 2 meters. © 2006 PTC

Electronics & High Tech KWO GER METAL Adopts Mathcad for Product Design Kwo Ger Metal Technology is one of the largest OEM thermal solution providers in Taiwan and China. The primary product lines include M/B heat sink, CPU cooler, VGA cooler, NB heat pipe module, etc. BUSINESS INITIATIVE § OEM/ODM thermal solutions are Kwo Ger’s primary business § Due to the cost won and performance requested from clients, Kwo Ger has adopted Mathcad as an efficient tool to optimize the cooler and heat sink design SOLUTION § Mathcad is able to interact with Pro/ENGINEER for better design integration § Mathcad not only provides numerical calculation capabilities, but also symbolic calculations § Mathcad recognizes most of the mathematical constants and functions, and it can be input intuitionally by a powerful integrated word processor to execute the mathematical calculation as well as produce the 2 D/3 D graphs for better understanding RESULT § With Mathcad’s symbolic processor, proprietary equations can be derived from the experimental database; for example, the relationship of fin height/fin density/material/flow impedance, etc. With the assistance of these validated proprietary equations, design cycle time can be greatly reduced. “New product development is our goal to fulfill. Only with the assistance of Mathcad and CFD software, we are able to compete against other rivals in cost, performance and lead time to win the purchase order from our clients. ” Kevin Deng, President of Kwo Ger Metal Technology © 2006 PTC

Sky. Cross Standardizes on Mathcad – Electronics & High-Tech P R O F I L E Sky. Cross, Viera, Florida Global developer of next-generation RF and antenna technology CHALLENGES To accurately Simulate antenna patterns Analyze SWR and Smith Chart Impedance Transfer design to Pro/ENGINEER Iterate toward solution that satisfies requirements ACTIONS Implemented enterprise-wide solution of Mathcad to reduce design iterations, reduce errors, control documentation, and optimize design RESULTS Mathcad selected as the standard environment for performing & documenting antenna design calculations on the SK Teletech IMB-1000, the #1 selling mobile video handset in Korea for 2005. © 2006 PTC

Rolls-Royce Standardizes on Mathcad – Power Generation P R O F I L E Rolls-Royce, London, England Global developer of aerospace, marine, and energy systems CHALLENGES Used various calculation and documentation tools, including Microsoft Excel & Word Quality was compromised due to formulas hidden within Excel Hours were wasted performing “idle tasks” Errors could not be traced or audited Programming solutions lacked flexibility ACTIONS Conducted cost-justification process to implement enterprise-wide solution of Mathcad RESULTS Mathcad selected as the standard environment for performing & documenting structural calculations on the Rolls-Royce Trent 900 jet engine project by Rolls-Royce. © 2006 PTC

Power Generation Gaz de France (France) Gaz de France has to maintain high safety and reliability levels for their facilities while optimising the operating costs of networks. The teams of the Transmission Technologies Section offer methods, tools and guidance for the design, construction, operation and maintenance of pipelines (inspection, defect assessment and repair, and risk prevention management). PREVIOUS PRODUCT USED OR EVALUATED: Microsoft Excel Spreadsheets BUSINESS INITIATIVE § Consolidate 7 extensive Microsoft Excel spreadsheets into 1 Mathcad worksheet. SOLUTION § 2 days of work to migrate all Excel spreadsheet data tables and rewrite complex formulas in Mathcad. RESULT(S) § With Mathcad, Gaz de France has achieved better verification of calculations; Excel calculations often contained errors which could not be checked easily § With Mathcad, engineers have saved significant time in verifying and auditing calculations © 2006 PTC

AEC (Architecture, Engineering & Construction) Accurate Engineering Calculations are Critical for Bridge Design at SAMHYUN PF (Korea) is a bridge construction company established in 1999. SAMHYUN has since become a leader in “preflex” bridge construction, with the experience and knowledge in all aspects of the business- from design to construction. Recently, SAMHYUN led the industry with the successful development of the ‘Precom’ girder technique- the latest composite method of bridge construction. PREVIOUS PRODUCT USED OR EVALUATED: Microsoft Excel Spreadsheets BUSINESS INITIATIVE § SAMHYUN PF uses Mathcad as a calculation verification tool for the girder calculation process. Mathcad is critical for its speed and minimal errors produced when creating the calculations behind these structures SOLUTION § The engineers at SAMHYUN PF create their key engineering calculations with Mathcad, so that they document their calculations with ease and with less time then previously done in Excel RESULT(S) § With Mathcad, SAMHYUN has achieved better verification of calculations; Excel calculations often contained errors which could not be checked easily § With Mathcad, SAMHYUN’s engineers have saved over 50% of their time in creating calculations- allowing for their easy documentation and re-use § SAMHYUN has been able to create an automated calculation system for “Precom” using Mathcad “With Excel it took a long time to create a calculation worksheet. Not only have we saved 50% of our time in creating calculations, but we have improved verification and accuracy of our calculations with Mathcad. ” - Ji, Gu Sam, Vice Director of the Design Team © 2006 PTC

Industrial Equipment Accurate Engineering Calculations are Critical for Structural Design at William Hare (India) Pvt. Ltd. William Hare (India) Private Limited (WHIL) is a wholly owned subsidiary of William Hare Limited (WHL), the UK's leading independent Steelwork Fabricator. It has its presence across the globe in 45 countries. The company provides solutions in various industries - Oil and Gas, LNG, Petrochemical, Pharmaceutical, Power, Nuclear, Civil, Commercial, Bridges, Retail and Leisure developments. BUSINESS INITIATIVE William Hare does extensive calculations for connection designs of structural steel in their projects. These calculations are extremely critical and need to be error free SOLUTION § Mathcad is being extensively used as their Engineering Calculation Tool. Being easy and quick to learn, with no programming or proprietary syntax knowledge required, with its open mathematical formulae, robust units control, and excellent documentation capability Mathcad gives them the advantage RESULT § § § Creation of uniform and understandable calculation models for recurring calculations Considerable reduction in error rates and considerable reduction in time for creating calculation documents Mathcad design sheets are used as excellent documents Mathcad has helped us to create excellent design calculations which is useful for recurring calculations. The ease of learning, the true mathematical notation and the units control makes Mathcad the tool of choice for us P. Moorthy, Director, William Hare (India) Pvt. Ltd. 61 © 2006 PTC

Customer Case Study - Transportation Virginia Department of Transportation (VDOT) Situation: Existing Mathcad user (10 Single User). Growing Engineering Organization and # of Projects. Expanding use of Sub-contractors. Challenge: Maximize the value of VDOT’s engineering knowledge across growing engineering organization and sub-contractors. Minimize cost associated with a corporatewide distribution of Mathcad. Doug Horton District Structural Engineering Manager Structures Design Office Management’s Key Objectives: • Establish Web-based solution for Engineering Calculations. • Leverage existing investment in Mathcad content. • Encourage document reuse Eliminate risk associated with manual “what -if” calculations. © 2006 PTC

Customer Success Story - Transportation Value: VDOT can deploy and distribute interactive Mathcad documents across entire organization. Solution requires no Mathcad experience for end-user interaction with the Calculation Server. Minimal System and IT support requirements. Increased Productivity and Communication. Calculation Server minimizes cost of providing Mathcad for every engineer and sub-contractor. © 2006 PTC

Customer Case Study - Transportation Florida Department of Transportation Situation: Involved with 100+ consulting engineers Working on Florida’s 6000 bridges and 12, 000 miles of state highway Need: To enable smooth communication and design efficiency. Andre Pavlov State Structural Engineering Manager Structures Design Office Calculations must be precise, and information communicated in a timely and easy-to-understand manner, especially in a hurricane-ridden state. Management’s Key Objectives: To be able to share and re-use other engineers work. Engineering Calculations. Benefit: "There's very little I can't do in Mathcad, " concluded Pavlov. "The main benefits come from the format, which resemble a typed set of calculations. These programs are easier to develop by engineers and easier for others to follow and review since the logic is expressed in a familiar manner. The format is what places Mathcad head and shoulders above other programs of a similar function. " • Establish Web-based solution for • Set a standard for technical calculation and design communication within their engineering group and contractors. • Encourage document reuse © 2006 PTC

Customer Case Study - Transportation South Dakota Department of Transportation Concerns: Safety and Cost Effectiveness Use of national standards and Department best practices Elimination of spreadsheets Benefits: Streamlined long & tedious calculation process Documented assumptions that can be referenced when rehabilitation or repair work is done “Mathcad allows engineers to accomplish five days worth of calculations in one day while leaving behind a historical footprint that can be used for bridge repair or maintenance for years to come” says John Cole, Chief Bridge Engineer. John Cole Chief Bridge Engineer Management’s Key Objectives: • Encourage document reuse. • Better traceability of calculations regarding rehabilitation of bridge work. • Create standard calculations for easy re-use across the engineering teams. © 2006 PTC

Electrical Oil & Gas ì. Saipem Energy International (SEI) is an offshore engineering company. SEI combines its knowhow and engineering design skills of the Saipem with its experience of construction, management and marine operations. BUSINESS INITIATIVE Perform a Risk Assessment of Pipeline Protection (Dropped Object Study) which is a risk-based approach for assessing pipeline protection against accidental external loads like dropped crane loads on offshore risers, pipelines and umbilicals SOLUTION Application of Mathcad to perform a probabilistic study and plot the results. Looking for an intuitive and light tool which could assist in performing the analysis without knowing any programming languages RESULTS Mathcad worksheet to support decision about the subsea valves location and installation, instead of adopting common rule-of-thumb techniques. Future work will improve the description of the impact scenario and the pipeline response to the load. In particular, a structural-reliability based analysis with Mathcad will be utilized for evaluating the failure probability given the impact “We have chosen Mathcad due to ease of use, self-explaining, intuitive application and full capability of developing the integral/differential equations for the probabilistic assessment; moreover the Mathcad worksheet is easily managed by every HSED Engineer. ” What you see is what you get…this is what we needed and what we got…Mathcad! Massimiliano Colombi – Saipem Energy International HSED Manager 2006 PTC © 2008

Oil & Gas Reference: www. drillers. com The Electronic Drilling Manual: Online mathematical capability, which allows a logged-in subscriber to carry out mathematical operations with predefined Mathcad worksheets for a variety of oilfield operations with only a web browser. Plan to expand this capability to assist Drilling Engineers and Supervisors to plan and drill wells safely and cost effectively. © 2006 PTC

Oil & Gas Reference Situation: Used spreadsheets, hand-calcs & ‘best-guess’ to analyse and communicate drilling performance calculations between onshore and offshore teams Inconsistent results because of different methods of calculation Significant margins of error incorporated due to lack of confidence in accuracy of calculations Peter Aird Maersk Oil Management’s Key Objectives: • Streamline communications • Improve quality • Improve performance Solution: Selected Mathcad Deployed a highly accessible tool for calculations & documentation Standardised on Mathcad for all engineering calculations Standard: Mathcad is now a best practice Drilling performance and production improvements resulted from more effective calculations and communication © 2006 PTC

Stork Fokker Aerospace Standardizes on Mathcad P R O F I L E Stork Fokker Aerospace, The Netherlands Global developer of aerospace and defense systems CHALLENGES Used various calculation and documentation tools, including Microsoft Excel Large computational models Intense data processing exceeded Excel’s capabilities Errors could not be traced or audited Excel lacked flexibility in data adjustment ACTIONS Used Mathcad’s capabilities to document, manage, and trace the design calculation process RESULTS Increased efficiency from start to finish as well as improved manageability and traceability of the critical calculations involved in creating materials for the Airbus A 380 aircraft. © 2006 PTC

MAN B&W Diesel AG Standardizes on Mathcad P R O F I L E MAN Diesel, Augsburg, Germany Leading developer of diesel ship engines CHALLENGES Used various calculation and documentation tools, including Microsoft Excel & FORTRAN Hard to decipher design information due to inability to render calculations steps Poor communication between the engineers and designers Errors could not be traced or audited Programming solutions lacked flexibility ACTIONS Design group implemented enterprise-wide solution of Mathcad RESULTS Mathcad selected as the standard environment for performing & documenting structural calculations by MAN Diesel on the L 21/31 motor project for the Princess of Scandinavia, which has already logged over 10, 000 hours of successful operation. © 2006 PTC

Lockheed Martin Standardizes on Mathcad P R O F I L E Lockheed Martin, Bethesda, Maryland Global developer of aerospace and defense systems CHALLENGES Used various calculation and documentation tools, including Microsoft Excel & Word Quality was compromised due to formulas hidden within Excel Hours were wasted performing “idle tasks” Errors could not be traced or audited Programming solutions lacked flexibility ACTIONS Conducted cost-justification process to implement enterprise-wide solution of Mathcad RESULTS Mathcad selected as the standard environment for performing & documenting structural calculations on the Joint Strike Fighter (JSF) project by prime contractor Lockheed Martin © 2006 PTC

PTC in Automotive BOSCH use Mathcad extensively to increase speed and quality of calculations With 260, 000 employees and sales of € 44 billion, Bosch is one of the worlds leading system suppliers for the automotive industry. Products include Gasoline Systems, Diesel Systems, Chassis Systems Brakes, Chassis Systems Control, Electrical Drives, Car Multimedia and Automotive Electronics BUSINESS INITIATIVE BOSCH need to speed the development process for complex systems whilst at the same time increasing quality, and ensuring that product specifications are filled under a wide range of operating conditions PTC SOLUTION • BOSCH use ca. 1, 500 licenses of Math. CAD in many divisions including gasoline and diesel systems, chassis, automotive electronics amongst others • Math. CAD used in R&D to execute complex calculations, for example in chassis electronic control systems, with between 200 and 500 parameters • Used for tolerance, durability, temperature and worst-case calculations, amongst others, based on data parameters from the product specifications • Math. CAD used to definitively document the calculation for legal purposes and archiving • Key calculation results such as noise levels are depicted graphically RESULTS • Calculations documented in a reusable fashion, also suitable for archiving • Reuse of calculations saves development time, and ensures calculations are of high quality and are standardized • Math. CAD significantly increases the level of confidence that the designed product will meet specification under all operating conditions © 2006 PTC

PTC in Automotive Delphi have standardised on Mathcad to help drive productivity and quality With 171, 000 and global sales of € 26. 4 billion, Delphi is a world leader in mobile electronics, transportation components and systems engineering. Products include powertrain, safety & security systems, steering and in-car electronics. BUSINESS INITIATIVE DELPHI need to increase productivity, engineer communication globally and quality in the product development process whilst decreasing IT spend and speeding up regulatory compliance and reach Six Sigma goals. PTC SOLUTION • DELPHI have standardized on Math. CAD for calculation and documentation. • Replaced Excel, Word and Power. Point. • For example, Math. CAD is used in electromechanical actuator design to determine factors that influence actuator performance. • Used to capture all of the complex equations and parameters such as temperature peaks, fall times, linear dynamic inductance and to visualize results RESULTS • • • Math. CAD is a best practice 4 -7 time improvements in calculation and documentation Standardizing has lead to improved to global communication and re-use Math. CAD has significantly raised the quality Aided Delphi in their Six Sigma goals ‘to reduce waste and add value’ © 2006 PTC

PTC in Automotive ZF use Mathcad to drive product development and analysis ZF is a leading supplier of chassis and driveline technology systems to the automotive and transportation industry. Products include axles, gears, steering, powertrain, suspension and automotive test equipment. BUSINESS INITIATIVE ZF strive to increase design integrity and productivity. PTC SOLUTION • ZF have around 200 engineers using for Math. CAD within Advanced Engineering, Concept Development, R&D, Mechanical and Electrical Design, Quality and Testing. • For example, Math. CAD is used in central R&D for concept development, design layout and analysis of mechanical components and assemblies. • Math. CAD is used for pressure and dynamic-related calculations and analysis using input parameters such as CAD data, engine handbooks and test data. • In automotive test equipment, Math. CAD is used in design as an accompaniment to CAD/FEA tools for design layout, dynamics and for strength analysis of machine components and parts. RESULTS • Math. CAD is an important solution for simplifying design calculation, analysis and documentation. • Improved efficiency in ‘what if’ analysis of different design variants • Increased re-use and provides a safe-revision of calculation methods • Math. CAD has increased design productivity and quality in all-related projects © 2006 PTC

PTC in Automotive Getrag use Mathcad to drive product development Getrag is an automotive systems supplier and integration partner with primary focus on transmission and drivetrain components. BUSINESS INITIATIVE Getrag need to speed up the development and analysis process, improve communication and quality. PTC SOLUTION • Getrag use Math. CAD for calculation, analysis and documentation within R & D, Advanced Engineering, Electronics and Mechanical Engineering. • Main area of use is in R&D for conceptual design, design verification, model behavior, component design and performance analysis • Parameters are sourced from CAD/FEA and other calculation data and passed to Mathcad for result verification, extensive graphical analysis and documentation. • This is then saved into their documentation management system for re-use. RESULTS • Getrag have found an easier means to calculate, analyze and document results. The analysis process has been significantly speeded-up. • Adoption has lead to improved communication between engineers and raised product quality through clearer documentation. © 2006 PTC

Reference Statements “As Britain’s largest defence contractor, we need the best tools available such as Mathcad for our engineers. Anything less would be unacceptable. — Mark Conlin, Analysis Development Group Leader “I depend on Mathcad to be my tool for everything I do during the design process, from planning and executing our technical calculations to reporting… We conduct all team calculation work and reporting with Mathcad. It makes the process so streamlined that I can't imagine work without it. ” — Michael Ekholm “Mathcad provides me a standardized way to communicate. We have manufacturing in Mexico & key vendors in China. We're doing a field trial in Korea. We need to be able to share documents that all these people will understand. The one Language that's universal is mathematics. " — Mark Beigert © 2006 PTC

Reference Statements “No sane person would happily manipulate equations that are 10 pages wide. Mathcad allows us to develop concepts and do explorations that would be too painful to otherwise consider. ” — Tom Kotowski, VP Electronics Engineering “Mathcad wird bei uns schon seit vielen Jahren eingesetzt. Zum Einsatz gehören u. a. dynamische Simulationsberechnungen von Schiffen aber auch Nachweisberechnungen für Schiffs Klassifikationsgesellschaften” — Claus Brinckmann, Research & Development Ship Stabilisation “Mathcad is our global calculation solution for electronic design verification ” —Research & Development Engineer – Valeo Wischersysteme © 2006 PTC

Industrial Plant Hyundai Engineering Co. reduces 20% of Engineering Calculation Time with Mathcad ! Established in 1974, Hyundai Engineering Co. (HEC) is one of the world best engineering company accumulated numerous projects and technology in more than 50 countries in the world. The Nuclear Division is especially renowned with its nuclear power plant engineering capability. Recently HEC has performed lots of projects using Mathcad providing precise and fast calculating features. Business Initiative § Precise calculation required, for Nuclear Power Plant. § Visualization and Documentation capability Needed, for the seamless communication between HEC engineers and clients. § Need repeatable and auditable engineering calculation. Solution § Through the BSTC, the PTC Korea Silver Partner, HEC adopted Mathcad to get repeatable and auditable calculation generating capabilities. § Mathcad’s visualization and documentation function to communicated with non-engineer client and construction field. Result § Reduce 20% of Engineering calculation and re-calculation time. § Increase communication effectiveness with Visualization and Documentation function. § Increase engineering calculation accuracy. “Hyundai Engineering use Mathcad since 2005. When it comes to nuclear engineering, you expect no less than perfect and fast calculation. Mathcad has various functions and formulae and automated calculation feature, and helps to enhance our engineering capability. Also, Mathcad’s visualization and documentation features are very helpful when communicating with frontlines and non-engineer clients. ” - Lee, Dong Hoon, Manager, Hyundai Engineering Co. © 2008 PTC

Civil Engineering A-INSINNÖÖRIT OY A-Insinöörit was founded in 1959, and is widely recognized as one of the nation’s leading specialty in civil engineering. In order to keep and deliver high quality standards to their customers, the company is using a wide range of new technologies. BUSINESS INITIATIVE § To develop and support high quality standards and satisfy customers’ requirements with high performance, the company’s goal is to use new and high quality technical tools. SOLUTION § Mathcad was found to be a good solution for engineering calculations and dimensioning, and a good tool for data integration between a variety of programs that the company is using. RESULT § Mathcad is easy to use and easy to teach to newcomers. Mathcad produces results faster and has increased the company’s productivity. “At the moment all Mathcad projects are concentrating on Euro Code system and engineering calculations development. Mathcad is the best tool for these projects because the results of these projects can be easily integrated in other civil engineering programs that we are using. ” Arto Möttönen , Project Manager, A-Insinöörit © 2006 PTC

Electronics & High Tech TDI Power Enables Efficient and Intelligent Engineering Calculation using PTC’s Mathcad® Transdev Electronics (Shen. Zhen) Co. , Ltd. is a wholly owned division of Transistor Devices Inc. , a pioneer of highly reliable power systems development. Transdev develops and produces AC-DC rectifiers, DC-DC converters, DC-AC inverters, high frequency rectifiers, etc. BUSINESS INITIATIVE § TDI R&D engineers used to rely on the traditional methods, such as manuscripts, Excel, etc. , to perform calculations, causing much manual work and rework. Moreover, the calculation process within Excel is implicit, which makes it difficult for engineers to understand design concepts and come up with innovative ideas, and a lot of training is required for new hires, in particular. SOLUTION § Mathcad, PTC’s engineering calculation software, replaced the traditional calculation tools to perform, document and share calculation work, allowing for automatic solution § Utilized Mathcad Standardizing Design Manual § Offered training services RESULT § Reduced calculation time using the real-time and simultaneous calculation capabilities of Mathcad, calculations being solved in a second § Mathcad manual enabled engineers to follow standardized design process and effectively reuse the calculation process § Mathcad went live within one week after the training “By means of modifying parameter entries, we can reuse the existing calculation process in every new design or change the new calculation method. Mathcad can solve the calculation in a second based on these changes. Therefore, we don’t need to rework again and again, significantly improving our productivity. ” Li Wei(Doctor), Engineering Manager, TDI Power © 2006 PTC

Industrial Equipment SICOR SPA Improves Time, Efficiency and Quality by 30% with Pro/ENGINEER + Mathcad + Windchill PDMLink SICOR SPA was founded in 1981, and specializes in design and production of traction system for elevators and winches. BUSINESS INITIATIVE § Reduce time-to-market while leveraging product quality assurance and process § Broader engineering capabilities and greater proposal variety to customers SOLUTION § RANDIT, an authorized PTC reseller, deployed Pro/ENGINEER Foundation XE, Pro/ENGINEER Advanced Assembly (AAX), Mathcad and Windchill PDMLink to increase efficiency, improving quality and optimizing design time and process management § PTC’s CAD, Mathcad Calculators and PDM products adopted Simultaneous Engineering into the Product Development System (PDS) RESULT § Improved design time, engineering efficiency and product quality by 30% “Using PTC software integrated platform with Pro/ENGINEER, Mathcad and Windchill PDMLink, we have accomplished our aimed project for Product Life. Cycle Management in SICOR. Now we manage completely product design &simulation of hoisting machines and process workflow. We optimize our products with a time reduction of 30%, a great increase of both intrinsic product and process quality and production. ” Ing. Christian Girardi, R & D Manager, SICORSpa Ing. Lorenzo Giordanino, Engineering and Production Director, SICOR spa © 2006 PTC