Engr 339/340 Senior Design Project Design Report Calvin College 5/10/2016 Team 07: C V Prosthetics 3 Zachary Carney Joseph Cha Justin Cooper Jared Vanderklay © 2015, Team 07 and Calvin College Abstract The goal of this project was to design and build a prosthetic leg versatile enough to fit either a child or adult. The unique adjustability of this design, coupled with the one­design­fits­all mentality, will allow for our single prosthetic to be mass produced and fitted to an enormous variety of patients, specifically those in developing countries. Our design accomplishes this through four key elements: the adjustable femur/tibia pylon, the adjustable socket/support, the variable foot design, and the affordable and cost­effective knee component. The coinciding of these four features allows our prosthetic to encompass a range of patients with just a single prosthetic. The knee component was based off an already developed knee component called the JaipurKnee that was created to be a low costing knee component for amputees in developing countries. The foot component we have is a multi­axis prosthetic foot that will have the motion range similar to an actual foot and be adjustable. The height adjustment pylon component of the prosthetic is based off the concept of a bike seat adjustment shaft. More specifically the prosthetic can be adjusted by unlocking the clamp and changing to the desired length and locking the clamp when the adjustment is finished. The socket support includes a silicon lining that is standard for prosthetic sockets but the outer part is an adjustable support system. This support is able to fold and bend to fit a wide range of residual limbs which are the part of the leg that remains after amputation. Table of Contacts 1 Introduction 1.1 Title Page …..………………………...……………………….…….………….…….……... i 1.2 Copyright Page …………………………………………………..…….……...…..……….. ii 1.3 Abstract …………..……………………………………………....……….………....……. iii 1.4 Table of Contents …………………………………………………..………..…………...... iv 1.5 Table of Figures ………………………………………………………………………….... vi 1.6 Table of Tables ……………………………………………………………………………. vii 1.7 Introduction ……………………………………………………………………………........ 1 1.7.1 Team members…………………………………………………………………..... 1 1.7.1.1 Joseph Cha…………………………………………………………….... 1 1.7.1.2 Justin Cooper………………………………………………………........ 2 1.7.1.3 Zachary Carney.……………………………………………………....... 2 1.7.1.4 Jared Vanderklay ………………………………………………………. 2 1.8 Acknowledgements …………………………………………………………………………. 3 2 Project 2.1 Project Management ……………………………………………………………….………. 4 2.1.1 Team Organization…………………………………………………………..……. 4 2.1.2 Schedule……………………………………………………………………..……. 5 2.1.3 Budget……………………………………………………………………….....…. 6 2.1.4 Method of Approach…………………………………………………………….… 6 2.2 Requirements ……………………………………………………..…………..……………. 7 2.2.1 Functional Requirements……………………………………………………….…. 7 2.2.2 Performance Requirements…………………………………………………….…. 7 2.2.3 Environmental Requirements………………………………………………….….. 7 2.2.4 Ease of Use Requirements…………………………………………………….….. 8 2.3 Research ……………………………………………………………..………………….….. 9 2.4 Task Specifications and Schedule ………………………………………….…….............. 10 2.5 System Architecture ………………………………………………………….……….….. 13 2.6 Design ……...………………………………………………………………….……....…... 14 2.6.1 Design Criteria………………………………………...…………………….…... 14 2.6.1.1 Design Norms…………………………………………………………. 14 2.6.2 Design Decisions…………………………………………………………….…... 14 2.6.2.1 Knee Component………………………………………………………. 14 2.6.2.2 Foot Component……………………………………………………….. 17 2.6.2.3 Height adjustment of the Tibia Pylon………………………………….. 20 2.6.2.4 Support……………………………………………………………….... 22 2.6.2.5 Fasteners………………………………………………………………. 23 2.6.2.6 Assembled Design…………………………………………………….. 24 2.6.2.7 Prototype………………………………………………………………. 25 2.7 Integration, Test, Debug …………………………………………………………….…..... 28 2.8 Business Plan ………………………………………………….……………..……….…... 29 2.8.1 Marketing Study…………..………………………..……………………….….... 29 2.8.1.1 Competition…………………………..…………………………..……. 29 2.8.2 Cost Estimate………………………………………………………………….…. 32 2.8.2.1 Development…………………………………………………………... 32 2.8.2.2 Production……………………………………………………………... 32 2.8.2.2.1 Fixed Costs…………………………..……………………... 34 2.8.2.2.2 Variable Cost…………………………..…………………… 34 2.8.2.2.3 Financial Summary……….………………………………… 34 2.8.3 Cost Comparison…..…………………………………………………………….. 34 2.9 Conclusion …………………………………………...…………………………………..... 36 2.10 References/Bibliography ……………………………………………………………….... 37 Table of Figures Figure 1: Organization Chart ......……………………………………………………………..……….… 5 Figure 2: Diagram of Prosthetic ……………..……….……..………………………………………….. 13 Figure 3: The Jaipur Knee………………...……………………………………………………………. 15 Figure 4: Types of Four Bar Linkage …………………………………………………………………... 16 Figure 5: Schematic of Knee Component……………………...………………….……………….…... 17 Figure 6: Senator Foot…………………………………………………………………………………... 18 Figure 7: Trustep……………………….………………………………………….……………….…… 19 Figure 8: Schematic of Foot Component………………………………………….……………….…… 19 Figure 9: Schematic of Pylon.…………………………………………………………………………... 22 Figure 10: Schematic of Support……..………………………………………………………………… 23 Figure 11: Fasteners…………....……..………………………………………………………………… 24 Figure 12: First Design of Assembled Prosthetic……………………………………………………….. 25 Figure 13: Redesign of Assembled Prosthetic…………………………………………………………... 25 Figure 14: Prototype of Assembled Prosthetic…………………...……………………………………... 27 Table of Tables Table 1: Comparison of Features with LIM innovations ………………………………………............. 29 Table 2: Comparison of Features with Adjustable prosthetic limb socket ..……....……………………. 30 Table 3: Comparison of Features with By the Ball Screw Drive ……………………..……….………. 31 Table 4: Senior Design Estimation Cost ……………………………………………...…………..……. 32 Table 5: Production Cost of Prosthetic Leg ……………………………………………………..…....... 33 Table 4: Senior Design Estimation Cost ……………………………………………...…………..……. 34 Table 4: Senior Design Estimation Cost ……………………………………………...…………..……. 35 1.7 Introduction We are C V Prosthetic, and we are a team consisting of four mechanical engineering majors that are 3 currently attending Calvin College. Calvin College is a top­ranked liberal arts college located in Grand Rapids, Michigan. Calvin College was founded by the Christian Reformed Church, and still remains a distinctly Christian institute. The Calvin Engineering department produces a high percentage of students who complete the FE exam, complete their degree in four years, and find jobs within six months of graduating. This project was completed in fulfilment of ENGR 339­340 which is the Senior Design Project and the Engineering program’s capstone. For our project we are building a nearly universal prosthetic leg. It will be able to fit on almost any body type and almost any type of leg amputation within a range. While it could be marketed in the United States, our main target audience are developing countries who may not have access to cheaper prosthetics. Justin Cooper Joseph Cha Zachary Carney Jared Vanderklay 1.7.1 Team Members 1.7.1.1 Joseph Cha Joseph Cha is a senior mechanical engineer, currently at Calvin College in Grand Rapids. Joseph lives in L.A, but he came to Calvin a missionary kid from China and has seen and partaken in many voluntary service trips to multiple villages. Joseph has no experience in prosthetics, but hopes to use the complete product to serve the people in both third world countries and developed countries. 1.7.1.2 Justin Cooper Justin Cooper is a senior Mechanical Engineering student currently attending Calvin College in Grand Rapids, Michigan. He is from Ann Arbor, Michigan and currently resides in Grand Rapids, Michigan. The interest for engineering came in his senior year of high school where he greatly enjoyed a physics class that was taken which sent him on his path to becoming a mechanical engineer. Justin has not had any experience in the field of engineering but has worked in a plant in the past so is familiar with some machinery. Justin has a strong interest in the field of prosthetic and is hoping to work for a prosthetic company in the future. 1.7.1.3 Zachary Carney Zachary Carney is the third member of this group. He currently resides in Caledonia, Michigan. At a young age, he grew fascinated with robots and the field of robotics as a whole. He especially was interested in robots that were shaped and moved similar to humans. Also, he saw some of the issues with current prosthetics, particularly how uncomfortable they can be. His goal is to create autonomous robots that will help humanity as well as prosthetics that feel more natural to their users. He sees this project as a great stepping stone to that goal. 1.7.1.4 Jared Vanderklay Jared Vanderklay is a senior mechanical engineering student at Calvin College. He grew up in Sacramento, California into a family of seven. His interest in mechanical engineering developed out a fascination with moving parts and problem solving. Although he has no prior experience in prosthetics, this project provides Jared with a wondrous mechanical problem to be tackled. 1.8 Acknowledgements We would like to thank Ryan Sheridan, a certified prosthetist that works for Hanger, for educating us on the basics of prosthetics and giving us feedback on our prosthetic leg design. Ryan also donated several key components for our prosthetic leg. We would also like to thank Professor Ryan Bebej for the information on bone structures that led us to gain a better understanding of the human leg in an effort to mimic its functionality for our prosthetic. We would like to express thanks to our team advisor Ned Nielsen for all the knowledge and guidance he has shared with us. Finally we would like to thank Phil Jasperse and Bob De Kraker for their support and knowledge in machining and material acquisition. 2.1 Project Management 2.1.1 Team Organization For our team no specific roles or titles for each member were assigned. Work assignments were delegated as need arose. Team meetings were scheduled after every senior design class. Additional meetings occurred as needed to accommodate upcoming due dates. By completing most of the work in team meetings, all members stayed up to date and involved in the process. Additionally, individual struggles on any given assignment could quickly be addressed by the team. All of our documents are kept either on the engineering scratch drive or on Google docs to allow team members easy access and to facilitate collaboration. We also have a team email address so that any information or external communication that needs to be shared, can readily be. Although team members do not have specified roles or titles, we still have those that are above us that we take direction from. This includes our professors and mentors that aided us along the way. The organization chart that shows this can be seen in Figure 1 below. Figure 1: Organization Chart 2.1.2 Schedule Scheduling matters were primarily decided by the due dates provided through Engr. 339/340. Outside of these formal constraints, individual assignments and rough due dates were decided in team meetings. These two scheduling methods allowed us to stay on track. A primary task schedule can be seen in section 2.4. 2.1.3 Budget In accordance with Engr. 339/340, our team was assigned a maximum budget of $500. Our budget of $500 is more than enough to buy the material we need to create this prosthetic, except one piece, which is the foot part of the prosthetic. The price of a senator foot alone is about $700 according to freedom innovations, a the manufacturing company of the senator’s foot. This is one of the biggest challenges we have to face during this project. 2.1.4 Method of Approach Approaching this task, our primary focus was to restore the loss of mobility that amputees had suffered. In developing countries, the effects felt from limb loss are magnified by the lack of external support measures to sustain the victims and their families. Simply put, losing a limb can remove one’s ability to support his or her family. With this in mind, supplying a lost­cost and high­function leg prosthetic promises to ease financial difficulties for a neglected part of our world. To accomplish this we started researching common prosthetic designs both in the U.S. and abroad. 2.2 Requirements Given a primarily third­world audience, it became very important to maintain a low cost through the design and manufacturing procedures. Although this is a low cost product, we do not want it to be a low quality product. Our design must also be very durable, because living and working in developing countries is rarely as easy going as the U.S.. We also would like it to be used to perform most physical activities. While wearing this prosthetic the user would be able to walk on almost all types of terrain and be able to run. Playing sports may be too difficult with this design. Part of our range of users includes children, and we want them to be able to wear this prosthetic and not feel so different from other kids. This will be difficult given all are other requirements, but we will attempt to design the leg so that it will very similarly resemble a real human leg. With all these requirements we want this prosthetic leg to be simple enough that the user can perform most of the maintenance themselves. We would like for this leg to last around 5 years, given an industry average of about 3 years. 2.2.1 Functional Requirements We want this prosthetic to work almost as well as a natural leg. This will require a knee design that can almost match the efficiency and functionality of a natural knee. It will also require a strong and durable frame that can have the dependability of a real leg. Our prosthetic should also be comfortable for our patients to wear. According to Ryan Sheridan, the two chief complaints about prosthetics are the weight and the heat. Both of these issues pivot around the design of the socket. Temperature control inside a prosthetic is a massive project in itself, but the feeling of a heavy prosthetic is largely due to a poor patient fit. As such, our support design must have enough adjustability for each patient to readily establish a close and secure support fit. 2.2.2 Performance Requirements Our performance requirements include the need for the prosthetic to be durable enough for activities such as running and strong enough to last at least 3 and up to 5 years of very high usage. It should be able to support the weight of each of our patients with a max weight of about 400 lbs including safety factors. 2.2.3 Environmental Requirements Our prosthetic should be able to withstand the rough terrain of these developing countries. Large temperature swings and water damage must be accounted for without risking the safety of the user. 2.2.4 Ease of Use Requirements We would like our prosthetic to be simple enough for our patients to use and maintain independently. In order to do that, we would need to make the adjustment mechanisms of the prosthetic rather basic; enough for our patients to be able to learn on their own once they receive the prosthetic leg. This can reduce the amount of time and effort for the orthotist and it eliminate the “middle man” part of setting up a prosthetic. After all the point of all prosthetic is how the patient feels and making sure it fits right, similar to wearing new shoes. 2.3 Research Our sources for our research were mainly found online. Specifically, a lot of the sources we found were from the Heckman Library Engineering Database. This turned out to be a very good database because you can easily filter out reports and documents that just deal with engineering and whatever topic is needed. Using the database we were able to find very good sources that deal with prosthetic legs. Another source we had was Ryan Sheridan who is a Certified Prosthesis and Board­Eligible Orthotist with his Masters in Science of Prosthetics and Orthotics who works for Hanger. All our sources for the PPFS and all other documents can be seen in 2.10 References/Bibliography. 2.4 Task Specifications and Schedule 9/9 ­ 9/16 : Define Senior Design Project and present to Advisor 9/16 ­ 12/11 : Research on prosthetics 9/16 ­ 12/11: Contact and work with prosthetic companies 9/30 ­ 10/7: Work on PPFS outline and the designs of the socket and the knee 10/7 ­ 11/16 : Work on the PPFS draft 10/19 ­ 10/23 : Prepare Oral Presentation of Design Project and purchase pylon parts from a community bike shop. 10/26 ­ 10/28 : Work on Website 11/4 ­ 11/6: Update poster 11/16 ­ 12/11: Work on the PPFS final draft 10/28 ­ 12/11: Update Website 2/1­3/3: Update Website 2/1­5/2 :Order Parts for the sockets, knee and new pylons parts 3/20­3/21: Research on new foot design and pylon is being tested for the 200 lbs load 3/21­4/11 : Construction of the first knee component prototype 3/30­4/22: Design foot and searching for a quote of the materials required 4/18 ­ 5/5: Construction of the second and final knee component prototype 4/23­5/6: Final Assembly and Part’s quality check and final test of pylon; 400lbs 5/7: Senior Design Night ­ Project Due 5/9: Final Website Update 5/11: Final Report Due The order of which we complete the tasks are in the order of when they are due. For the tasks such as research and contacting prosthetic companies for information, they continue throughout the whole semester. A more detailed explanation of each task this semester will be explained with the order of task being the order in which the task’s are due and the due date can be seen in the schedule above with the last day to work on the task being the due date. The first task that needed to be completed was the selection of the senior design project. This was a fairly easy process because the idea of a designing a prosthetic was already talked about over the summer, so what was left was to decide on what prosthetic limb to do. The choice of a prosthetic leg was made because we are all mechanical engineers and dealing with a leg would involve more of what we have learned in our classes. The task of researching was given to everyone and would be a continual task. The topics of research involved general prosthetic knowledge, adjustment and linkage designs for our prosthetic, the actual human leg, different materials, and methods of prosthetic production. On top of this broad prosthetic research we each broke up the sections of our prosthetic leg design and had each individual gather more detailed research on that component. This broke down to Jared Vanderklay ­ support/socket Joseph Cha ­ main frame of prosthetic which includes the height adjustment system Justin Cooper­ knee component Zachary Carney ­ foot component Another very important task was to get into contact with a prosthetic company and talk about our design in order to get professional feedback. We managed to accomplish this by meeting with Ryan Sheridan . From this meeting we gained a source that we could continue to go back to if we had more questions or sought more guidance for our design. The next task was to create an outline for the PPFS. This was done as a team and completed by the due date. After the outline was completed, the formation of the PPFS draft was started. This task distributed out by having it be worked on little by little during our meetings. It was also worked on individually when each team member had extra time available. The next major task was the oral presentation which was given by Justin Cooper and Jared Vanderklay. The next task that needed to be completed was the web design. The first thing that was done was to choose which team member would be in charge of the web design and Zachary volunteered. Using his student ID we gained access to Dreamweaver and started working on the website. This was also a task that was spread out and worked on little by little and was completed by the due date. Finally, the finished PPFS was completed in the same manner as all the other documents. Work was spread out over several weeks with additional work and emphasis during the final week of the fall semester. For the spring semester it consisted of us building a prosthetic leg and that was spread over the entire semester. With everyone working on their individual components the need for a schedule was diminished. 2.5 System Architecture The basic layout of our prosthetic leg can be seen in Figure 2 below. The design consists of five parts the support (also called the socket), femur and tibia components (also called the pylons), knee, and foot. The support is where the patient's leg meets the prosthetic. The support will be able to fit wherever the patient has been amputated. Then depending on if the patient’s amputation is transtibial, below knee, or transfemoral, above knee, the rest of the prosthetic leg components will be selected. With a transtibial amputation the only components that will be used would be the support, the pylon, and foot components, while a transfemoral would use every component. This is the main feature of our prosthetic and it has the ability to be easily modified so that the same prosthetic can switch from a patient with a transfemoral amputation to a patient with a transtibial amputation much like a building block pattern. This is accomplished through a building block design. The fastening system used to connect individual components is consistent throughout the design. This feature allows the patient to pick and choose which components are necessary to most closely match the dimensions of the prosthetic to his or her leg. ←Socket ←Knee ←Pylon ←Foot Figure 2: Diagram of a Typical Prosthetic 2.6 Design 2.6.1 Design Criteria 2.6.1.1 Design Norm s •Caring •Integrity •Trust •Humility These design norms were chosen because for a leg prosthetic, we need to show that we care for the patients who need this. We want to boost their confidence, allowing them to stay mobile and able­bodied despite the loss of their legs. We also need to prove that our product is helpful to the patient in a user friendly manner and to prove that the product alone is strong enough for them to trust the product. We want to make sure that our product is reliable enough for them to perform their daily tasks. Last but not least, we need to understand that we cannot return life to how it was before the amputation, but that does not mean we will not try to the best of our abilities. Before this design project, we had very little knowledge on prosthetics and how they are constructed. While we have a better understanding of them now, we still have much to learn. Being a Calvin College student we hold these design norms in high regard and have spent the whole year making sure we stay true to them. We are all God’s children and when we have the opportunity to help other by using our God given abilities we need to make sure we do that. This goes along with the parable of the talents in Matthew 25:14­30. The moral of the story is that when you are blessed with certain gifts or talents you need to use those to make the world better in some way not just do nothing. We believe that our group is following this teaching in that we are using the knowledge that we have been privileged to receive from Calvin College to make the world a little better. 2.6.2 Design Decisions 2.6.2.1 Knee Component For the knee component in our prosthetic leg, the design we chose came from a previously designed knee joint called the JaipurKnee. When we were searching for ideas on how we want to design our knee we came across this design that was made by a student team at Stanford University whose goals were very similar to ours. This team’s goal was to create a low­costing, high­performance prosthetic knee joint for amputees in developing countries. This goal is similar to ours with the only difference being the scope of the project. The basic layout for the JaipurKnee can be seen in Figure 3. Figure 3: The Jaipur Knee The main design that was used in our knee that the Jaipurknee uses is the four bar linkage system. The four bar linkage system that is used is a Type II, non­Grashof, triple rocker. This linkage system is known as a “Type II” because the length of the shortest and the longest links, added together, are greater than the added lengths of the remaining two links. The dimensions for our 4­bar linkage system can be seen below. s+l>p+q where s is the shortest side, l is the longest side, and p and q are the remaining sides: s = 0.75 inches l = 2.5 inches p = 1.921 inches q = 0.875 inches The linkage is considered a triple rocker because no link completes a full 360 degree rotation relative to another link. This type of four bar linkage works the best because it gives that sturdy support that a knee should have when standing upright and it allows for the bending motion of a real knee. This will give the user the ability to safely perform simple actions such as walking and sitting. This goes along with our design norm of trust because we want people who use our prosthetic to know that it won’t fail on them while they are using it. The material that was used to create the knee is high density polyethylene which is the same material as the Jaipurknee. This knee was developed out of a 12 in x 12in x 1in slab of the polyethylene that cost $20.93. The low cost of the material used to make the knee allows us to keep the cost of our prosthetic affordable enough for those living in developing countries. A diagram of a triple rocker linkage systems as well as others can be seen in Figure 4. Figure 4: Types of Four Bar Linkages Figure 5: Knee Component 2.6.2.2 Foot Component For the foot component, we initially considered using a dynamic response foot. The design we wanted to use in particular was based on the senator foot by Freedom Innovations, which is shown in Figure 6. It was lightweight and was comprised of carbon fiber, allowing for more energy return. However, we found that this foot design was more geared toward those who were athletically driven. It is also rather poor in terrain adaptability, which is a necessity for those living in third world countries. We are now considering using a type foot known as a multi­axis foot. Multi­axis prosthetic feet have a motion range similar to an actual foot. Our design features an adjustable toe length to function with our project goals. The toe component will slide to the desired length then a screw will hold it in place. This design is based on the Trustep foot by College Park, which can be seen in Figure 7, while our modified design can be seen in Figure 8. The forefoot and heel portions of it will be comprised of carbon fiber, giving the prosthetic even more energy absorption as well as allow it to move across rough terrain with little difficulty. The ankle portion, though, will be made of aluminum. This will reduce the cost of the prosthetic while maintaining support. Size range considerations were established with the minimum length based upon the average U.S. shoe size for women. Figure 6: Senator Foot Figure 7: Trustep Figure 8: Schematic of Foot Component 2.6.2.3 Height adjustment of the Pylon Regarding the adjustment of height of the pylon, two hollow pipes were used with one that is a smaller diameter than the other. The inner pipes will have enough space to slide in and out smoothly of the outer pipe, this is where the main resistive force comes into play. With that the two pipes will have a clamp where it will lock the two pipes in place and to the required height that the user requires. If the user needs to change the height of the pylon then the user can unlock the clamp and readjust the height of the two pipes. This idea is based off of a bike seat adjustment mechanism. The reason why this mechanism is chosen for this is because on clean and dry surfaces the coefficient of friction of aluminum to aluminum is between 1.05 and 1.35. The reason why the two tubes are not difficult to remove is because there is not enough contact with each other due to the clamp being unclamped. To put it simply, the more contact with the two pipe have together from the clamp’s compressive force, the more friction that they will both exert. We want the patient to have an easy time to adjust the tubes rather than having him/her to fight against it, which is why the tubes are required to slide in as easy as possible, while it snug as much as possible. The clamp will exert a compressive force onto the two tubes. Based on the stiffness equation, K= AE L Where K is the Stiffness (N/m) A is the surface area of contact ( m2) E is the young’s Modulus (N/ m2 ) And L is the length of the contact (m) Along with the given deflection from testing the clamps, the compressive force is given based on this equation as well. F = Kδ Where F is the compressive force (N) δ is the deflection of the clamp (m) As shown from the equation from above, the higher the deflection of the clamp the higher the compressive force that it can exert to the two tubes, which will make them have a higher contact with each other and as of result have a higher friction force between the two tubes. The pylon will be a tibia length due to the socket will make up for the loss of the femur part. The pylon lengths vary between sexes, races, or mutations in their growth spurts, which made this quite difficult to capture many of the audience’s bones lengths. For instance, a pylon that can extend from 10 cm to 48 cm while it can support the patient’s load and it is cheap and easy to manufacture or access while it being practical is no easy feat. This is also one of the reasons why our objective has changed. As of result instead of children to adults, the objective is more focus towards teens to adults somewhere the age of 14 to adulthood. According to Korean Academy of Medical Science, they have recorded over hundreds of childrens from the age of 3 to 16 of both boys and girls with X­rays. Since this project is more focused on the age of 14 and above, then only a portion of data will be used from their data. On an average 14 year old boy’s tibias are in the 34 cm mark. The girl’s tibia are about 33 cm as well. To allow that the pylons to fit in both sexes, the lowest tibia length would be the minimum length of a 14 year old child. The pylons has to reach the average tibia length of 36.45 cm. As long those values are reachable, then the pylons have met their length requirements. As shown in Figure 9, the pylons can reach about a range of 15 to 25 cm with a 3~4 cm discrepancy because a small portion is required for the clamp to grab onto. However there is a small issue, there is now a height discrepancy with the knee component and the other parts of the prosthetic. It is mainly due to the connection parts with a 1.2 inches or a 3.048 cm discrepancy. Despite the lengths given from the Korean Academy of Medical Science and using replicas as comparisons in the biology departments. The lengths of the pylons would have to be shorter than the actual sizes of the tibia. It would be much more efficient if two pylons were to stack on top of each other and they are able to change lengths rather than one, since this methods offers more adjustability, especially if there are some height discrepancies in the prosthetic. Figure 9: Schematic of Tibia Pylon, Scale 1:2 2.6.2.4 Support / Socket Adjustability in the support is essential to creating a versatile and comfortable prosthetic. In modern prosthetics, the two chief complaints from patients are that the prosthetic is too hot and too heavy. Contrary to the idea of a heavy prosthetic, most of these “heavy” prosthetics are actually lighter than the limb that they replace. The feeling of additional weight is due both to the moment generated by the prosthetic and a poor support fit. To accommodate a range of people, our design implements the standard socket liner and base locking measures. These common components allow for the leg to be securely fastened to the socket when the leg is lifted. The weight of the individual will be transferred to the socket liner by a series of 4 multi­hinged arms. Each arm will be independently adjustable. Once appropriate arm positions have been determined, the arms will be strapped to both the middle and top of the socket liner. Finally, an external wrap will prevent the supports from buckling outward. Shown in Figure 10 is an example of one potential patient fitting. The arms of the support are to be extended to the maximum possible length (with restrictions determined by patient anatomical structure) in order to maximize the area that the support distributes the load over and minimize the shear forces on the patient's leg tissue. Figure 10: Schematic of Support 2.6.2.5 Fasteners Consistency between all locking mechanisms is essential to allow for the building block idea to function. For the fasteners, we initially considered twist­and­lock mechanisms. These will be located on the bottom and top of the individual components. However, we decided to go with an allen­socket screw fasteners. While it does take longer to assemble the parts using these, they offer more stability and overall versatility, especially in the foot. The two types we used can be shown in Figure 11 Figure 11: Fasteners 2.6.2.6 Assembled Design Finally, the aforementioned components but be assembled into a cohesive unit. The final unit for mass production and shipping will consist of a support and liner, the knee component, 2 pylons, and a foot. This combination of parts will allow for a wide range of patients to assemble the required parts to fit their needs. Shown in Figure 12 is our first attempt for a possible patient fitting. Due to further research, though, we found that this design was rather lacking in terms of versatility, specifically in the foot. Shown in Figure 13 is our redesigned unit. Figure 12:First Design of Assembled Prosthetic Figure 13: Redesign of Assembled Prosthetic 2.6.2.7 Prototype The Prototype came out as what most of us expected, each othe “blocks” or modules were able to meet their conditions. Despite that, the overall the prototype was unable to be fully tested in terms to walking nor running. At the moment the prosthetic can stand and hold the patient. With each of the parts meeting their goals, they each also have a flaw that hindered the progress of this prototype. Due to time constraints and the large prices on its components, we could not construct our foot design. Fortunately, thanks to the versatility of our fasteners, we were able to use a dynamic foot for the prototype and in the future allows many patients to rely on other foot types than one type of foot. Not only the foot, but the socket, pylon and the knee also has some flaws in their prototype stage. Due to the height discrepancy, the pylons became shorter than the expected 36.5 cm for the actual tibia length. The reason behind this was that the socket’s range in length was unknown to me due to unfortunate circumstances with our socket designer. For the sockets, its linkages requires larger hinges than needed to fit the steel wires that had to be looped around the leg, which made those hinges even more likely to break under the expected loads. The linkages were able to take the compression, however we assumed that the linkages would be in a straight linkage pattern rather than a crooked one. As of result, this allows the linkages to be more susceptible to breaking. If the links themselves were to be thicker and some of the links were to be replaced near the base plate, then the links could have able to withstand the loads. Figure 14 shows our prototype. For the knee component the motion of the knee with the four bar linkage system worked the way we design it to be but we were unable to complete a load test for the knee. Therefore our knee component is fully functional but we do not know the extent of the load it is capable of bearing. Figure 14: Prototype of Assembled Prosthetic 2.7 Integration, Test, Debug To test our prosthetic we created virtual models in Inventor. This focused mainly on strength, seeing what materials and designs can provide the support and durability our leg needs. We used a force analysis, first on the individual parts, then on the whole assembly. We also used the program SolidWorks to test the motion of our four bar linkage system. Through this we were able to formulate the exact measurements of our links. Once this was done and we selected the most cost effective materials and design, we created our prototype and tested it on four aspects: comfort, horizontal walking, incline walking, and running. Unfortunately due to time constraints we were unable to perform an extensive test on our prosthetic. What we had planned was for the comfort test, we would check to see if the support for our prosthetic caused irritation or discomfort when wearing it. For horizontal walking, we would test how the prosthetic would act when it’s used on various terrain. That would include gravel, mud, grass, and sidewalk. For incline walking, we would have tested how the prosthetic acts while walking up and down stairs as well as various inclines. For running, we would test how the prosthetic would act at various speeds. 2.8 Business Plan 2.8.1 Marketing Study 2.8.1.1 Competition Throughout the market, there is not much competition for a near universal prosthetic leg that can fully adjust from the leg to support. Ours is unique in that respect. In the table below, the LIM innovation’s product, infinite socket, is the closest product that we can compare to our design. Table 1. Comparison of Features with LIM innovations Features C3V Solutions Prosthetics LIM innovations infinite socket Purposes Fully Adjustable for the entire leg, while allowing the prosthetic to provide human like motion. Clinicians interested in a streamlined or mobile fitting process while also improving outcomes Trans­femoral and knee disarticulation users with large volume changes, discomfort, or at risk for skin breakdown. Process of Creation Requires mold and parts to assemble the parts to create the leg prosthetic. A proprietary process for achieving a well­fitting, custom­molded socket using measurements and images, without the requirement of an impression. Warranty Life expectancy of 3 years; and soft goods for about 6 months. The Infinite Socket hard goods are warranted for two years; soft goods for 6 months Weight Expected to hold 400 pounds Weight under 250 pounds. Height Expected to have 30 cm height adjustment Minimum of 15 cm height adjustment Availability Fast manufacturing process, similar to Lego production Depends on clinical examinations, if it requires or not. Comfortability Expected to make it comfortable and lightweight. Main function to make it lightweight and comfortable. Source PPFS and Team 7 documentations http://www.liminnovations.com/ products/infinite­socket/ Table 2. Comparison of Features with Adjustable prosthetic limb socket Features C3V Solutions Prosthetics Adjustable prosthetic limb socket Purposes Fully Adjustable for the entire leg, while allowing the prosthetic to provide human like motion. Adjustable prosthetic limb socket system having a partial rigid support, a non­elastic, flexible support and adjustment means. Process of Creation Requires mold and parts to assemble the parts to create the leg prosthetic. Requires mold process. NA Warranty Life expectancy of 3 years; and soft goods for about 6 months. Weight Expected to hold 400 pounds NA Height Expected to have 30 cm height adjustment NA Availability Fast manufacturing process, similar to Lego production NA Comfortability Expected to make it comfortable and lightweight. The traditional socket is designed to allow comfortable weight bearing and prevent soft tissue damage as weight pressures are applied to the residual limb via the prosthetic socket. Source PPFS and Team 7 documentations http://www.google.com/patents/ US20120041567 Table 3. Comparison of Features with By the Ball Screw Drive Features C3V Solutions Prosthetics By the Ball Screw Drive Purposes Fully Adjustable for the entire leg, while allowing the prosthetic to provide human like motion. Artificial limb main part is through motor based on active control knee flexion Process of Creation Requires mold and parts to assemble the parts to create the leg prosthetic. NA Warranty Life expectancy of 3 years; and soft goods for about 6 months. Weight Expected to hold 400 pounds NA Height Expected to have 30 cm height adjustment ball­screw producing 5mm longitudinal displacement for each revolution for movement only. Availability Fast manufacturing process, similar to Lego production NA Comfortability Expected to make it comfortable and lightweight. NA Source PPFS and Team 7 documentations http://search.proquest.com/docvi ew/1443593717/25B9D19DDFF 94B63PQ/15?accountid=9844 knee actuator, by intelligents NA 2.8.2 Cost Estimate 2.8.2.1 Development For our senior design project we were given a budget of $500 from Calvin. This cost will need to cover all materials, equipment and other cost that will go into or design. This budget was more than enough because with the idea being more for developing countries this whole product is to be as low cost as possible. Our estimated cost for our prosthetic is shown in Table 4. Table 4: Senior Design Estimation Cost This price can be this low because the only need for the money was to buy the material. There will not be any labor cost because we are the ones building it and we don’t get paid for this. There are no equipment costs because the metal shop at Calvin was available for use on our project and access is free. We do not need to pay for any building cost, taxes, or anything else because this is just the production of one prosthetic leg. If we wanted to mass produce this item on our own many more factors would come into play and the production cost would be greatly higher and this process will be shown and explained in section 2.8.2.2. 2.8.2.2 Production There are two methods that we could choose to mass produce our prosthetic leg and they will both be looked at. The first method is to do all of production of our prosthetic leg in the U.S. The other method is to have all production overseas to make the whole production cost lower. Cost estimates for producing in the U.S. and overseas can be seen in Table 5. Table 5: Production Cost for Prosthetic Leg The goal of producing 1000 prosthetic legs is shown for production process in the U.S. and overseas. The raw materials are assumed the same for both production methods which includes Aluminum, High Density Polyethylene, and Carbon Fiber. The equipment cost includes the initial cost of the mill and lathe that is assumed to be the only equipment needed to form the prosthetic leg. It was assumed that the same equipment could be purchased for almost half the price overseas. The direct labor really shows the difference of manufacturing overseas and in the U.S. In the U.S. direct labor was done using 5 employees working 8 hours a day five days a week on a minimum wage of $8.15 an hour. If done this way it would take roughly 17 months to produce 1000 prosthetic legs. If production was overseas the labor would be 20 employees working 12 hours a day 6 days a week for a wage of $1.15 an hour. Knowing that labor laws are vastly different in other countries if we took that route we could save more money but we would need to treat our workers as well as we can to stay with what we believe in as a company and the design norms that guide us. The repeating costs include rent for the building, utilities, and the marketing costs. A rough estimate for these were done excluding all cost involving taxes. Looking at the table we can see that the total cost for production in the U.S. is $211,120 to produce 1000 prosthetic legs and to produce the same amount but overseas will cost $41,000 and it would only take about 4 months. The large difference in costs can easily be seen but there are so many more factors that come into play on deciding if production should be in the U.S. or not and one important factor is who it is sold to. Through discussion, we’ve decided to first sell our product in the US, then sell overseas. For our analysis, we assumed that the other country that we would be producing in is China. The same conditions used in our previous analysis will be applied to the US branch. However for China, the workers will work for about 9 hours a day, 5 days a week. They will also receive more equipment to meet their quota and prevent bottlenecking. 2.8.2.2.1 Fixed costs For the US, the fixed cost for goods sold is $7,200 per year and the total fixed operational costs are $1500 per year. Depreciation is $6,288 per year and the interest expense is $3,750 per year. The total fixed costs are $32,238 per year. For China, the fixed cost for goods sold is $3,600 per year and the total fixed operational costs are $900 per year. Depreciation is $6,288 per year and the interest expense is $3,750 per year. The total fixed costs are $25,469. 2.8.2.2.2 Variable costs For the US, the variable cost for goods sold is $160,200 per year and variable operational costs are $10,000 per year. The total variable costs are $170,200. The variable cost per unit is $170.20. For China, the variable cost for goods sold is $68,600 per year and the variable operational costs are $1000 per year. The total variable costs are $69,600. The variable cost per unit is $69.60. 2.8.2.2.3 Financial summary For the US, the price per unit is $250. For China, the price per unit is $140. 2.8.3 Cost Comparison Table 6: Cost Analysis of Prosthesis with Senator Foot Cost Analysis Modules Cost ($) Senator Foot 700.00 Pylons 50.14 Knee 43.08 Support 100.00 Total 893.22 Table 7: Cost Analysis of Prosthesis with SACH Foot Cost Analysis Modules Cost ($) SACH Foot 13.00 Pylons 50.14 Knee 43.08 Support 100.00 Total 206.22 After taking all the materials accounted for, Table 6 and 7 shows the aftermath of the price of the prosthetic leg of our designs. Thanks to the versatility of our fasteners, the price of the prosthetics can vary greatly, as the foot of the prosthetics is at least one of the more expensive part of the prosthetics. With the SACH foot, the prosthetic is about $200 which is ⅕cheaper than the current cheapest prosthetic leg that we have around today. However; carbon fiber feet are a different story as they have different process and different layers, which increases cost to an absurd level with the current budget. Thankfully, the parts were donated, from Ryan from Hangar, but this is something that should not be overlooked. This proves that for our design to be feasible to the developing and 3rd world countries the SACH foot, which is common in developing and 3rd world countries, is the best choice for the patients there. 2.9 Conclusion This report discusses all the steps, considerations, and factors that went into the design of our prosthetic leg. Through our research and talks with our Ryan Sheridan we have managed to create a basic design for an adjustable prosthetic leg. This design was completed keeping in mind all our many factors, which include maintaining a low cost, accounting for patient safety and comfort, and manufacturing and distribution in and to third world countries. In the beginning all the members in this team struggle in learning prosthetics and to build a foundation to stand upon. This was a learning and a wonderful experience that we asked for, much like solomon to God. And God said to Solomon in 2 Chronicles 1:11 “Because this was in thine heart, and thou hast not asked riches, wealth, or honor, nor the life of thine enemies, neither yet hast asked for long life, but hast asked wisdom and knowledge for thyself, that thou mayest judge My people over whom I have made thee king, “ If it weren't for our motivation and God, we would have been lost in this project. As of result, C V Prosthetics has addressed this through the height 3 and width adjustment in the support, height adjustment in the pylons, a high­function and low­cost knee solution, an adjustable dynamic response foot, and a revolutionary building block layout. 2.10 References/Bibliography Romero, Emmanuel. "$20 Artificial Knee for Patients in the Developing World." Stanford News 15 Apr. 2009: n. pag. < http://news.stanford.edu/news/2009/april15/cool­product­expo­artificial­limbs­041509.html >. Torrealba, R. R., L. A. Zambrano, E. Andara, G. Fernandez­Lopez, and J. C. Grieco. Medium­Cost Electronic Prosthetic Knee for Transfemoral Amputees: A Medical Solution for Developing Countries . Tech. Vol. 25/9. N.p.: Springer Berlin Heidelberg, 2009. 1680­0737. Springer Link . Web. 9 Nov. 2015. < http://link.springer.com/chapter/10.1007/978­3­642­03889­1_122 >. Sachin, M. S. The Bionic Man: Future Super Human . Tech. Vol. 5. Bhopal: International Journal of Electronics Communication and Computer Engineering, 2014. Print. < http://search.proquest.com/docview/1618219085/abstract?accountid=9844 >. "What Is O&P?" OP Careers . N.p., n.d. Web. 11 Nov. 2015. < http://www.opcareers.org/default.asp >. Leimkuehler, Paul. “Human Foot and Ankle Versus Prosthetic Foot/Ankle Mechanism Function.” Prosthetic Foot/Ankle Mechanisms. Online Learning Center. Web. 29 Nov. 2015. < http://www.oandp.org/olc/lessons/html/200606­14/section_5.asp?frmCourseSectionId=5828CD 65­86D4­45E9­81F0­E996BA425D48>. “Finding the best foot for you.” Ottobock. Web. 29 Oct. 2015. < http://consumers.ottobockus.com/prosthetics/info­for­new­amputees/prosthetics­101/finding­the ­best­foot­for­you/>. Kim, Ki Jun, Cheng Dong Wu, Fei Wang, and Shi Guang Wen. By the Ball Screw Drive a New Initiative Knee Joint Structure Design . Rep. Vol. 58­60. Zurich: Trans Tech Publications, 2011. ProQuest . Web. 9 Nov. 2015. < http://search.proquest.com/docview/1443593717/abstract?accountid=9844 >. Adjustable Prosthetic Limb Socket. Cornell Keith D, assignee. Patent US 13/208,846. 12 Aug. 2011. Print. < http://www.google.com/patents/US20120041567 >. "Infinite Socket ­ LIM Innovations." LIM Innovations . N.p., n.d. Web. 09 Nov. 2015. < http://www.liminnovations.com/products/infinite­socket/ >. Slocum, Alexander. Fundamentals of Design . N.p., 1 Jan. 2008. Web. 14 Nov. 2015. < http://web.mit.edu/2.75/fundamentals/FUNdaMENTALs%20Book%20pdf/FUNdaMENTALs% 20Topic%204.PDF > Trustep. College Park. Web. 22 Apr. 2016. < http://www.college­park.com/prosthetics/trustep > Figure 2: Prosthetic Schematic Image < http://www.stancepando.com/services/prosthetics/transfemoral/ > Figure 3 JaipurKnee image < http://download.springer.com/static/pdf/236/art%253A10.1007%252Fs10439­013­0792­8.pdf?o riginUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs10439­013­0792­8&to ken2=exp=1447620580~acl=%2Fstatic%2Fpdf%2F236%2Fart%25253A10.1007%25252Fs1043 9­013­0792­8.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%2 52F10.1007%252Fs10439­013­0792­8*~hmac=9a801424314beb42aa2d3dd805c20ad041d3140e 2bc5b4da703ff400091b5c84 > Figure 6: Senator Foot image < http://www.freedom­innovations.com/wp­content/uploads/2014/08/Senator.png > Figure 7: Trustep image < http://rslsteeper.com/products/prosthetics/products/lower_limb/college_park_industries/trustep > US Shoe size standards < http://www.zappos.com/c/shoe­size­conversion > Korean Academy of Medical Science: Tibia and Femur sizes < http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.349.1754&rep=rep1&type=pdf > Average Tibia length < http://onlinelibrary.wiley.com/doi/10.1525/aa.1898.11.10.02a00010/pdf >