1 Launch #1 Using what you are given, baseline the process for shooting the statapult. Remember: Customer desires a rapid-fire, precise, and accurate launcher that can launch projectiles over mountain ranges. 2 VI-2 Objective: To fire the statapult and record the distance for each of the launches. The measured distance will be from the back of the launcher to the point where the ball first lands. Record the distances in the order in which they were obtained. Launch Distance Sequence 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Every shot will be launched from a pull back angle of 177/65 degrees. Each person on the team will perform an equitable number of launches (or as close as possible). "Launching” means pulling back and releasing. Time between each shot cannot exceed 15 seconds. Record the distances on the table to the left. Record the longest distance (Max) and the shortest distance (Min) and compute Range = Max - Min. Range = ______________ 3 VI-2 Distance 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Launch Sequence See graphing.pdf 4 VI-2 Short term data is considered free of assignable causes ◦ One shift, one operator Long term data is considered to contain both assignable and common caused variation ◦ Multiple shifts, multiple operators Processes tend to exhibit more variation in the long term than the short 5 VI-2 Maps can be created for many different levels of the process. Just like highway maps… You can use a map of the USA… or if you need more detail, a map of the state... or if you need more detail, a map of the city. High Level Detail Mapping works much the same way. Depending on the detail you need, create the map at that level. If you need more detail, then create a more detailed map of the subprocess. 6 VI-4 Process Flow Diagram ◦ Used to identify the steps in a process ◦ Good for process documentation and knowledge gathering ◦ May be used in definition, detail design, analysis and control portions of a project Visually sets the Skin/Core Assembly Spar Assembly Upper Skin Assembly Misc Details 65V Lay-up process steps in order 6A3 Cure Press L, M, or N 6A3 Clean Tool 65V Test Heater Balnket 6PB Clean Part Lay-up and Cure 65Q Tap and Ziess Clean and Inspect 6P4 Band Saw Henri Line 6PA Mech Assy 65Q Inspect 6PA Bond Details 6P4 Devlieg 65Q Inspect 6PA Bond Closures Bond Details 6PA Gather Components 6PA Fill A/STRP Electrical Assy 6PB Leak Test 6P8 Paint 6PG Static Balance 6PA Electrical Assy Mech Assy 6PG Touch-up Paint 65Q Final Inspect Post Bond Closures Misc Details Fairings 7 VI-4 To provide a graphical representation of the process with regards to ◦ ◦ ◦ ◦ the people involved, their responsibilities, functional interfaces and dependencies, as well as process steps over time where necessary. Critical tool for transactional processes and when mapping information flow for industrial processes Segregates steps by who does them or where they are done Makes handoffs visible A Swim Lane is a process flow diagram with resource responsibilities 8 VI-4 Business Unit Define needs Prepare paperwork Receive & use Process Steps Configure & install Review & approve standard I.T. Finance Issue payment Review & approve Top Mgt/ Corporate Sourcing Review & approve Review & approve Resources Responsible for Process Steps Acquire equipment Supplier Graphical summary or roles & responsibilities for a process Supplier 9 VI-4 Objective: Develop a process flow diagram that explains how to launch a ball. 10 VI-4 Supplier Customer Process Input S uppliers (Providers of the required resources) I nputs (Resources required by the process) Output P rocess (Process requirements for the Inputs) (Top level description of activity) O utputs C (Deliverables (Custome from the rRequireprocess) ments of the Outputs) ustomers (Anyone who receives a deliverable from the process) SIPOC is a process scoping tool that provides a high level definition of a process – SIPOC should be used on all Six Sigma projects 11 VI-10 S uppliers I P nputs (Providers of the required resources) (Resources required by the process) Suppliers Inputs rocess Process Requireme nts for the Inputs ( Top level description of activity) Process Requirements Boundary O (Deliverabl es from the process) Outputs Shaft dia, life, brg Assess brg choices and brg selection or new capacity, TRL's, cost, select 2 bearing design 6 wt, reliability 3 When does the What What are Process start? strength, buckling Inputs Shaft mat'lare the outputs required to stability, fatigue life, dyn characteristics, Assess shaft mat'l from the enable this cost, tuning, cost, wt, Shaft suppliers Shaft material selection process? special handling choices and select process to and repairability, thermal occur? machining reqm'ts compatibility with T/B " cost, wt, tuning, Shaft length availability, Select one vs two piece Shaft suppliers handling, shaft length cost shaft 1 availability What is the 7 process? Acceptability of long Who is the VOC, Product Support shaft handling, " supplier of stocking, cost each input? Static strength, 8 torsional buckling, What does Shaft mat'l stiffness theand wt for dyn Size shaft Shaft suppliers Shaft sizing characteristics, cost tuning, overall wt, cost, process expect impact on sizing of from each 2 bearing and end fittings Brg suppliers, D/S Structures Brg data, shaft dia input? Sizing as previously tested, fatigue strength, Shaft size, plus existing stiffness, clearances for data on damper sizing shaft motion, compact design Structural allowables When does the Sizing as previously process end? tested, fatigue strength, stiffness, clearances for Layout damper shaft motion, compact Boundary design Strength, ease of C utputs damper design ustomers Customer’s Requireme nts of the Outputs (Anyone who receives a deliverable from the Customers process) Requirements brg spec Brg supplier Special handling reqm'ts Manufacturing 4 Cost, repairability handling, shipping Who is the Product support customer of each Product support output? 5 What does Shafteach sizing customer expect from each output? drawing, build-to-print PO D/S Design Lord Corp 12 VI-10 INPUTS PROCESS OUTPUTS 13 VI-10 Create a relationship matrix for the previous SIPOC *Input/Output relationships can be rated as: Strong: 9 Moderate: 3 Weak: 1 Nonexistent: Blank or 0 14 VI-11 C = Control Factor (controllable) N = Noise factor (out of our control) X = Experimental variable Inputs (X’s) Output (Y) Main Category Measurements Materials People C C Level 1 Cause N N Level 2 Cause Project Y N C X C X Environment Methods Machines By identifying the correct inputs, you can achieve optimal results in the shortest time. 15 VI-12 C = those variables which must be held constant and require standard operating procedures to insure consistency. Consider the following examples: the method used to enter information on a billing form, the method used to load material in a milling or drilling process, the autoclave temperature setting. N = those variables which are noise or uncontrolled variables and cannot be cheaply or easily held constant. Examples are room temperature or humidity. X = those variables considered to be key process (or experimental) variables to be tested in order to determine what effect each has on the outputs and what their optimal settings should be to achieve customer-desired performance. 16 VI-12 Objective: Develop a C&E diagram that explains the variability of the launching process. Label as C/N/X. MANPOWER MEASUREMENT METHOD MACHINE MOTHER NATURE MATERIAL 17 VI-12 Product or Process In groups Conduct a process FMEA for “shooting the statapult” Generate Risk Priority Numbers and develop controls that will minimize risk Failure Mode Failure Effects S E V Causes O C C Controls D E T R P N Actions Plans P S P O P D p r p n 18 VI-14 Objective: Develop a SOP that accurately defines each controlled step of the launching process. 19 VI-14 Objective: To fire the statapult and record the distance for each of the launches. The measured distance will be from the back of the launcher to the point where the ball first lands. Record the distances in the order in which they were obtained. Launch Distance Sequence 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Every shot will be launched from a pull back angle of 177/65 degrees. Each person on the team will perform an equitable number of launches (or as close as possible). "Launching” means pulling back and releasing. Time between each shot cannot exceed 15 seconds. Record the distances on the table to the left. Record the longest distance (Max) and the shortest distance (Min) and compute Range = Max - Min. Range = ______________ 20 VI-14 Distance 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Launch Sequence See graphing.pdf 21 VI-14 http://www.qualitytrainingportal.com/resources/problem_solving/ problem-solving_tools-concentration_diagrams.htm www.duetsblog.com/uploads/image/AT&T.jpg 22 VI-22 23 VI-25 Data is collected using samples because the entire population may not be known or it may be too costly to measure. ◦ Population is every possible item ◦ Sample is a subset of the population µ Population Population Sample X Sample 24 VI-25 Step #1 Add the data points and divide by the number of data point to determine the mean (average) Step #2 Subtract the mean from each individual data point and square the result (data point – Mean)2 Step #3 Add together all the squared data points Step #4 Divide the total of the squared data points by n-1 if a sample, or n if a population (n= number of data points) Step #5 Calculate the square root of the sum of step #4. The result is the standard deviation for the process. 25 VI-27 26 VI-27 27 VI-27 Each unit of measure is a numerical value on a continuous scale Variation common and special causes Pieces vary from each other Size Size Size Size But they form a pattern that, if stable, is called a normal distribution Normal Distribution Histogram or Frequency Distribution 28 VI-27 There are three terms used to describe distributions 1. Shape Bell 2. Spread Standard Deviation 3. Location Mean 29 VI-27 Distance Distance Angle Angle 30 VI-35 W h a t s p e c u la tio n s c a n y o u m a k e a b o u t th e fo llo w in g p ro c e s s e s b a s e d o n th e h is to g ra m s ? LS L USL 10 9 X 8 X 7 X 6 X 5 X 4 X X 3 X X X 2 X X X X X X X X X .502 .503 .504 .5 0 5 . 5 06 1 .4 9 3 .494 .495 .496 .497 .498 .4 9 9 . 5 00 .5 0 1 .5 0 7 1. LS L USL 10 9 X 8 X 7 X X X X 6 X X X X 5 X X X X X X X X 4 X 3 X X X X X X X X X X 2 X X X X X X X X X X X X X X X 1 X X X X X X X X X X X X X X X .502 .503 .504 .5 0 5 . 5 06 .5 0 7 .4 9 3 .494 .495 X X .496 .497 .498 .4 9 9 . 5 00 .5 0 1 2. 31 VI-39 LSL USL X X X X X .4 9 3 .4 9 4 .4 9 5 .4 9 6 .4 9 7 X X X X X X X X X X X X X X X X X X X X .5 0 2 .5 0 3 .4 9 8 .4 9 9 .5 0 0 .5 0 1 .5 0 4 .5 0 5 .5 0 6 .5 0 7 3. LSL USL X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X .4 9 3 .4 9 4 .4 9 5 .4 9 6 .4 9 7 .4 9 8 .4 9 9 .5 0 0 .5 0 1 .5 0 2 .5 0 3 X X X X X X X X .5 0 4 .5 0 5 .5 0 6 .5 0 7 4. 32 VI-39 Instructions ◦ Refer to Launch #1 and #2 and convert the run charts shown on these pages to histograms, using 4-inch intervals as the class width. ◦ The student may then choose the 12-inch range (3 consecutive 4-inch intervals) centered around the average to be the specification range. ◦ Draw those spec limits on the histogram and complete the following table: Launch #1 Launch #2 33 VI-39 Heights T h e H e ig h t E x a m p le Dev. from Avgerage. Let’s practice Find: H e y b u d d y. . . w h a t ch a g o t in t h e ca se ? In c h e s ? In c h e s ? Mean Median Mode Range Sigma -population -sample S te p 1 C o lle c t D a ta 5’ = 60” 6’ = 72” Total Xbar (average) Sigma!! 34 VI-25 Xbar = Step 2 Create a Histogram Step 3 Add Sigma Limits Step 4 Analyze Scale- (Use 2" increments) Sigma +/- 1 Sigma +/- 2 Sigma +/- 3 Sigma +/- 6 Sigma Area % Height Span Realistic? (Y/N) 35 VI-25