Introduction to MathcadEngineering Calculation SoftwareCalcul, Document, Capture & Share

Sebastien COULONscoulon@ptc.com

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Math – The Language of Engineering

Math is the only language all human beings share

Math can - tell us how jets fly before we even build them

Math can help us make the world work better

Math can do anything: predict financial markets stop a pandemic fix the economy describe protein folding…

Math solves problems

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Mathcad has been the leading engineering tool for more than 25 years.

Leading enterprise customers across multiple industries– 90% of Fortune 1000

Industry leading products used by ~250K professionals

Mathcad - The world’s most widely used engineering calculation tool produces manageable engineering information in XML format

Strong presence in higher education with ~500K users at over 2,000 universities

Award winning– April 2006 Desktop Engineering announces Mathcad 13 as

readers pick for Product of the Year– Mathcad awarded four-star rating from PC Magazine -

November 2004

Mathcad Introduction

Basics of Mathcad 3M

Airbus

BAE Systems

Bechtel Corp.

Boeing

Caterpillar

DuPont

Eli Lilly

General Dynamics

Hewlett-Packard

Honeywell

Hyundai Heavy

Lockheed Martin Corp.

Los Alamos National Lab

NASA

Northrop Grumman Corp.

Parson Brinkerhoff

Raytheon

Rolls Royce

Schlumberger

Siemens

Universal Studios

Westinghouse

4© 2010 PTC

Non-Manufacturing Customers

Civil engineering

Oiland gas

Power generation

Process industry Government

5© 2010 PTC

Worldwide Customers

Aerospace & defense Automotive

Electronics & high tech

Industrial equipment

Globalleaders

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Mathcad Introduction

Basics of Mathcad

Calculation management is a combination of best practices and information technology that address calculations as a critical activity and a corporate asset

Calculation management makes critical engineering calculations, data & methods visible, accessible & manageable

The Benefits• Standardization of Best Practices• Centralized Access • Reusability• Verification and Validation• Collaboration• Publication• Standards Compliance

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Mathcad Introduction

Basic challenges addressed by Mathcad

Traditional engineering calculation methods are outdated– Physical handbooks remain an important tool for estimating, validating, and early sizing – Calculators, spreadsheets, programming languages and paper notebooks are used to document engineering

calculations– Typically, this knowledge is lost, not easily understood by others, or locked up in the physical item

Too many iterations– Intuition/experience combined with multiple CAE and/or physical prototype iterations are used in lieu of

formal calculations, resulting in a lengthy and inefficient design process

Aging engineering workforce – Engineering knowledge, institutional knowledge, and the reasoning behind many engineering decisions is

lost

As companies globalize, institutional knowledge is lost and best practices are abandoned

– Formalizing and documenting usage of engineering calculations is necessary to institutionalize best practices

Regulatory compliance– Many companies are required to fully document the engineering work that goes into their products Current methods of documentation make these submissions, are time consuming to prepare and delay time to

market, and leave organizations at risk

8© 2006 PTC

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Mathcad – Improving Personal & Process Productivity

> Personal Productivity:– Mathcad is the right tool for Engineers – EXCEL is NOT!– Addresses needs and concerns of individual engineers and department managers

• Natural math notation• Documentation• Units management• Enables capture and reuse of IP

> Process Productivity:– Mathcad is the right tool to Preserve Intellectual Property, Reduce Design Iterations, allow

for Information Sharing, enable Regulatory Compliance, & Integrate with a complete PDS System

– A strategic investment for the Enterprise

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Addresses needs and concerns of individual engineers and department managers

• Natural math notation

• Documentation

• Units management

• Enables capture and reuse of IP

Personal Productivity

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Overcomes Inefficiencies of Traditional Tools

© 2010 PTC

1. Hand Calculations / Reference Material Easy to use and everyone has it But audit process is a complete re-work to check EVERY

calculation, correct unit-handling, etc It’s strictly a static documentation solution – modifications or reusability requires a

re-write

2. Excel (& Word) ~ Pervasive, but Imperfect Excel - live calculations but formulae hard to read – auditing difficult/lack of documentation in one tool

No “units” management (eg Mars Explorer issue, etc) Prone to error re-use (90% of spreadsheets over 150 rows)

3. Programming-based Solutions Very specialized capabilities, requires very fluent users (non-engineers) Geared toward heavy analysis/simulation (where applicable) Typically a high learning curve, low reusability, not for documentation

Mathcad ~ addresses clear, documented, reusable engineering solution

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Issues with Excel

Live calculation but formulae hard to read

No “units” management

Auditing difficult

No support for advanced math calculationsCalculusDifferential equationsEtc….

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Mathcad vs Excel

=($B$1*$D$1/2)*((PI()*$F$1*$D$1-$H$1)/(PI()*$D$1+$F$1*$H$1))+$B$1*$F$2*$D$2/2

=9.774428429

Spreadsheets

Mathcad:

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Rolls-Royce - Loughborough University Excel Accuracy Study: Radius of Curvature

2 2 2c cx x y y r

Mathcad Excel

Xc117.216 117.208

Yc50.997 50.989

r 50.168 50.161

© 2006 PTC

Proscan

Excel Method• Calculate sum of squared deviations

• Used Solver to find the unknowns

Mathcad Method• Used Leastsquare statistical solver

Results

• Mathcad confirmed as being the correct answer

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What is Mathcad?

This is Mathcad

=($B$1*$D$1/2)*((PI()*$F$1*$D$1-$H$1)/(PI()*$D$1+$F$1*$H$1))+$B$1*$F$2*$D$2/2

This is not!

15© 2010 PTC

> Intuitive – Easy to use, whiteboard interface– Natural math notation

> Comprehensive– Combines live math, text, graphics, and programs

in a single readable form– Powerful numeric and symbolic math– Manages units automatically

> Self-documenting– Traceable, readable form for

verification & re-use

Personal Productivity

Mathcad’s continued power as a personal, engineering tool

16© 2010 PTC

> Engineering focused – Research– Exploratory design– Design– Supporting calculations– Verification– Analysis and optimization

> Presentable and readable– Legible natural math, text, graphics,

in a single readable form– Live and easy-to-understand– Manages units

Personal Productivity

Mathcad’s continued power as a personal, engineering tool

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Mathcad Value Proposition

Automates ProcessRepeatable & auditable

Standard calculationsProprietary calculations

Live calculationAutomatic “units” management

Communicates Engineering Knowledge

Human readable calculationsXML format enables automated publishing in downstream docs

Ensures TraceabilityCan connect

Calculations to design geometryResults to customer and design requirements

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Mathcad Capabilities

S

© 2006 PTC

•Live Numeric and Symbolic Calculations•Over 1000 built-in functions and solvers•Vectors, Matrices•2-D and 3-D graphing•Units Capabilities•Programming capabilities•Unique Provenance capabilities•Publish to a variety of formats including pdf, rtf, html, etc.•Help, Tutorials, Quicksheets

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19© 2006 PTC

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An example of Mathcad Worksheet

Text

2D Graph

Picture

IconsVariables

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Mathcad is the right tool to :• Preserve Intellectual Property, • Reduce Design Iterations, • allow for Information Sharing, • enable Regulatory Compliance,• Support Business initiatives which drive processes around:

• Efficiency, Collaboration, Governance & Quality/Innovation • Integrate with a complete PDS System

A strategic investment for the Enterprise

Process Productivity

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Enterprise Message – Preserving Intellectual Property

> en·gi·neer·ing: The application of scientific and mathematical principles to practical ends such as the design, manufacture, and operation of efficient and economical structures, machines, processes, and systems

– “If you think of Creo/CAD System as answering the question of “WHAT” the design is, then Mathcad answers the question of “WHY” the design was done that way….”

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“WHAT?” “WHY?”

Creo Mathcad

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Aging and Decreasing Workforce

European Companies are currently at the mercy of

upcoming retirees

– Whose ages are now in the mid-50s

– Who inherited the bulk of work left behind by the

baby boom generation

– Should these aging workers retire (which would be

in the near term), massive amounts of

work/engineering-related intellectual property

(IP) would be lost if a comprehensive IP

capture/preservation process was not properly

implemented ahead of time.

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Aging Workforce Equation

Eng Workload

Eng Workforce Output

GAP

x efficiency Engineering Workforce

Personnel entering

Low knowledge

Low experience

High knowledge

High experience

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Aging Engineering Workforce – What else can be done?

S&T Workload

S&T Workforce Output

GAP

x efficiency

Personnel entering

Engineering Workforce

> Capture and Transfer Knowledge– Improves the overall efficiency of the

workforce– Gets new employees up to speed quicker

on domain specific knowledge and experiences making them more efficient

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It all starts with Capture – How is it done today?

> MS Word– Easy to use and everyone has it– But it’s not easy to capture Engineering information – Math– It’s strictly a documentation tool – capturing engineering knowledge with it is an

afterthought – an administrative burden

> MS EXCEL– Easy to use and everyone has it– Allows for performance of calculations and graphing– Difficult to follow if you are not the creator– Difficult to re-use

> Niche Tools– Very specialized capabilities, requires very fluent users– Tool not widely available– Typically not for documentation, geared more toward analysis– Typically there is a high learning curve

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Mathcad Addresses Key Challenges – Preserving IP

Mathcad– Captures all design intent and critical

calculation IP developed by experienced professionals

– Calculations can be centrally stored and accessed

– Knowledge can be easily shared and reused, even after the individual leaves the company

– Promotes best practices

Lockheed Martin

Standardized on Mathcad versus excel, programming languages, and other methods, for structural analysis of the Joint Strike Fighter

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Mathcad Addresses Key Challenges – Reduce Design Iterations

Customer challenge: too many design iterations

Mathcad– Enables predictive engineering

• Predicting the performance of designs, before the CAD model is created, reduces time consuming iterative analysis and redesign

– Improves product quality• Direct integration with Creo and other applications reduces data transfer

errors– Design intent and calculations can be easily shared and reused – Promotes best practices

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Mathcad Addresses Key Challenges – Information Sharing

Customer challenge:

global product development processes

Mathcad– Calculations and worksheets can be easily

shared and reused– Improves communication and collaboration

for globally distributed teams– Promotes best practices– Available in 9 Languages- English, French,

German, Italian, Spanish, Korean, Japanese, Simplified and Traditional Chinese

What is the universal language teach in all WW schools? math! Why use a programming language then?

BAE

Uses Mathcad to collaborate with engineering design teams in the US, Europe, and Asia

> 700 licenses

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Mathcad Addresses Key Challenges – Regulatory Compliance

Customer challenge:

regulatory and standards compliance

Mathcad– Provides clear documentation of

design intent and critical calculation IP

– Calculations can be easily verified and validated

– Design intent and calculation information can be preserved, creating an audit trail

– Approved calculations can be shared and reused

– Promotes best practices

                              

      

Medtronic

Uses Mathcad to document design intent and engineering calculations for FDA compliance

30© 2010 PTC

Process Productivity

Typical business challenges where Mathcad can help

Optimize processes

Collaboration

• Improve internal engineering collaboration

• Improve cross-discipline collaboration

• Improve collaboration with distributed design partners

• Leverage social computing tools in product design

Quality and innovation

• Improve idea capture and management

• Adopt system engineering methods

• Design for quality – Six Sigma• Design for reliability

Efficiency

• Standardize working methods• Institutionalize systemic

knowledge capture and reuse• Increase design reuse• Front load product

development

Governance

• Improve product and life cycle cost management

• Design for environmental compliance

• Reduce risk of regulatory non-compliance

Challenges

Maintain compliance

Communicate effectively

Standardize / re-use