Final Report Group 13: Heavy Lift Cargo Plane Team Members: Richard-Marc Hernandez Yoosuk Kee Stephen McNulty Jessica Pisano Chi-Ieong Yan Project Advisor: Siva Thangam TABLE OF CONTENTS: Page SUMMARY…………………………………………………………………………… 4 INTRODUCTION………………………………………………………………………. 5 PROJECT OBJECTIVE………………………………………………………… 5 PROJECT BACKGROUND……………………………………………………. 6 PROJECT STATEMENT………………………………………………………. 7 DESIGN SPECIFICATIONS…………………………………………………………… 8 APPROACH……………………………………………………………………………. 9 CALCULATIONS……………………………………………………………………… 10 DESIGN SELECTION………………………………………………………………… 15 WING………………………………………………………………………….. 15 TAIL…………………………………………………………………………… 17 FUSELAGE……………………………………………………………………. 18 TAIL BOOM…………………………………………………………………... 19 LANDING GEAR…….……………………………………………………….. 20 FINAL DESIGN………………………………………………………………………….. 21 BUDGET…………………………….…………………………………………………… 22 SCHEDULE………………………………………………………………………………. 23 TEAM DYNAMICS……………………………………………………………………… 23 ADVISOR MEETINGS………………………………………………………………….. 23 CONCLUSIONS ……………………………………………………………………… 24 2 APPENDICIES …………………………………………………………………………… 25 GANTT CHART…………………………………………………………………..A WING DESIGN……….………………………………………………………….. B MODELFOIL GRAPHS .……………………………………………….. B-1 RIB DESIGN……………………………………………………………...B-2 WING DESIGN…………………………………………………………...B-3 COSMOSWORKS MODEL……………………………………………...B-4 TAIL DESIGN…………………………………………………………………… C FUSELAGE DESIGN……………………………………………………………. D TAIL BOOM……………………………………………………………………... E LANDING GEAR ANALYSIS.......................................................................…... F DECISION MATRICES…………………………………………………………. G NUGGET CHART……………………………………………………………….. H CALCULATIONS……………………………………………………………….. I FINAL DESIGN………………………………………………………………….. J BEGINNING OF SEMESTER BUDGET………………………………………... K JOURNAL…………………………………………………………………….….. L REFERENCES…………………………………………………………………… M 3 Summary This proposal is for the 2004 SAE Aero Design Radio Controlled Heavy Lift Cargo Plane. Upon the completion of this project, the team will participate in a competition in Fort Worth, Texas. The goal of the project is to design a radio controlled plane that can lift 2 to 3 times its own weight. The design should be of intermediate difficulty for construction, but still maximizing lift. Overall the goal is to compete and place well at the competition which will take place from June 18th to June 20th. 4 Project Objectives The plane to be flight capable The plane to carry 2-3 times its own weight The plane meets the specifications of the 2004 SAE Aero Design West competition To finish the design of the plane by December and begin construction and testing in January To compete well at competition and improve Stevens reputation For the team to improve and expand their knowledge of the design and construction of airplanes To stay within the parameters of the budget that is set by the team Ideally, our group’s goal is to expand our knowledge of engineering and to further our experience with taking a project from concept and design to construction and testing. Our team would like to begin the testing of our plane as early as possible to try and overcome the problem from previous years where the plane did not fly. We feel that with early construction and more time for testing and modifications, if necessary, we will be able to ensure that the airplane is flight capable. Our group is not only aiming for the plane to be flight capable but for it to be able to lift two to three times its weight as well. Our group would also like to improve upon the Stevens reputation. In the past, Stevens has not placed among the higher competitors at the competition, we hope to be able to pave the way and start a tradition of Stevens being a top contender at the competition. It would also be a great asset to future Aero Design teams. 5 Project Background Last years group had a lot of problems with the construction of the heavy lift cargo plane, and had some suggestions for this year’s team. The team’s design was sound on paper and may have worked, but they may never know if it would have, it was the building of the plane that gave the team a lot of trouble. There are a number of little things that the team did not know nor could they know unless they had experience building these types of planes before. These problems included the space between the flaps and the wing, theirs was much too great even though it physically was a small space; the same thing happened on the tail. At the competition they had to put tape over the space in order to conform to safety considerations. Their suggested solution to these problems and others like these that came up was to consult with hobby enthusiasts’ late in the design phase and throughout the construction process. Another major problem the group encountered was with the landing gear; it broke many times during landing and they had to change the design to add extra support for the landing gear. The team suggested that our team builds replacement parts for most of the major portions of the plane, wing, landing gear, and tail. Also we should test the plane as early as possible so that we can fix problems that our team will encounter. 6 Project Statement Each individual member of the team has an interest, whether it is career or hobby oriented, in aeronautics and wants to expand their knowledge, and experience with the design and manufacture of airplanes. Our team wants to compete against other colleges and universities to get exposure to students at other schools and their approach to the engineering design process. There are many engineering disciplines that will need to be incorporated into the design and manufacture of this heavy lift cargo plane. In the design phase our group will need to use fluids, mechanics, control systems, dynamics, and static to design the physical structure of the plane, before any construction is done. Physics will be applied to determine lift, drag and other components of flight our design will achieve. Basic knowledge of calculus will be needed for the calculations in the design phase. Once the basic design is decided on, our group will need to use materials engineering to decide on the optimal building materials to construct the plane. A strict budget will have to be made for this project and followed which will require the knowledge of engineering economics. In the construction phase, freshman design course skills, particularly machine shop, will be utilized. 7 Design Specifications According to the rules for the SAE Aero Design competition, the following are the design specifications: Minimum allowed wingspan 120 inches Takeoff limit 200 feet Landing Distance 400 feet Minimum cargo area 6 inches by 5 inches by 4 inches Engine unmodified FX O.S. 2 stroke motor 0.61 cubic inches 1.9 hp E-4010 muffler Due to the change of some of the design constrains and the late-posting of the finalized rules this year, the team’s approach towards the design is slightly different than previous years’ teams. Design Specifications Comparison Design Specifications: This Year (2004) Previous Year (2003) Wing Span Minimum 10 ft Maximum 6 ft Wing Chord No restriction Maximum 1 ft Cargo Volume Minimum 120 in3 Minimum 300 in3 Maximum Takeoff Distance 200 ft 200 ft Maximum Landing Distance 400 ft 400 ft Engine .61 FX-OS .61 FX-OS or K&B .61 R/C ABC Battery Minimum 500 mAh Minimum 500 mAh 8 Approach The first step of this project was to understand all the rules and regulations in the competition. Specific rules on aircraft design, configuration, fabrication, and the prescribed course are strictly applied to this competition. However, since the information of this year’s competition was not posted on the web until very late in the semester, the team decided to look at last year’s competition and developed basic knowledge of the rules from it. The second step was to break down the plane into smaller components and brainstorm all the different ideas for designs. The team (with a total number of five members) was divided into smaller groups of two to three members to research and design each specific part in detail. (Further details about the smaller group progress can be seen in the journal in Appendix L ). Furthermore, areas such as selections of airfoil, wing shape, tail stabilizer (both horizontal and vertical), landing gear, fuselage, and control surface were intensively researched and designed to maximize the overall efficiency of the aircraft performance during the competition. A detailed design of the aircraft has been finalized. The next step is to construct the aircraft. The team will spend a good amount of time during next semester for the construction stage because it is the most critical stage in this project. A small deflection on the wing or a tiny crack in the landing gear can have a great impact on the performance of the aircraft. In fact, NASA’s Columbia disaster was caused by a small piece of foam falling from the fuel tank that damaged the wing of the shuttle. The team has acknowledged this incident and tries their best to avoid such accidents to the aircraft. The final step is to test and fly the designed aircraft. Small adjustments, calibrations, and other improvements will be made during this stage. The final prototype of the aircraft will be completed prior to the competition. 9 Calculations (For detailed calculations, see Appendix I) Take-off Calculation Take-off Velocity 1 2W 2 61.8190 ft / sec C A L, max p Vtake off Mass m Wtotal 1.3975slugs 32.2 Initial Coefficient of Lift CL 0 W A 1 Vto 2 p ,wing 2 144 1.0828 Initial Coefficient of Drag 1 2 C D 0 0.016 C L 0 0.0533 31.4 k Constant k Ap 1 CD 0 0.0013slug / ft 2 144 Take-off Drag 2 D0 kVto 4.9971lb Static Thrust Tstatic 20lb The force balance at the take-off is Fs m dV thrust drag T kV 2 dt Since we are looking for the take-off distance, not the time, we introduce dV dV V dt ds into previous Fs equation, separate variables, and integrate S0 0 dS m V0 d V 2 2 0 T kV 2 or S0 m T m T ln ln 2 2k T kVto 2k T D0 There fore the take-off distance is S0 m T 1.3975 20 ln ln 193.5524 ft 2k T D0 2 * 0.0013 20 4.9971 The requirement of the SAE aero design competition for take-off distance is 200ft. Our design with 45lb maximum loading had 193.55ft of take-off distance. Therefore, the plane will take-off within the given distance. 10 Landing Calculation The differential equation of motion that is used to describe the landing ground run is the following: dS VdV A BV 2 We integrate the differential equation. In addition, we use V2 0 , because the plane stops at rest. S landing 1 B 2 ln 1 VTD 2B A In order to solve the equation, we have to calculate constants A and B; T A g static Crolling 0.966 ft / sec 2 W B g W 1 2 Ap C D , g CrollingC L , g Stall Velocity W Vstall 1 A C p L ,max 2 1 2 25.8494 ft / sec Touchdown Velocity VTD 1.3Vstall 33.6042 ft / sec Coefficient of Lift at VTD CL,g W 1.7492 1 2 ApVTD 2 Coefficient of Drag at VTD Drag Force of take-off and landing are the same D0 0.1942 1 2 ApVTD 2 g 1 B Ap C D , g CrollingC L , g 0.0023 / ft W 2 CD,g Now, we can calculate the distance of land ground run, 1 B 2 1 0.0023 Slanding ln 1 VTD ln 1 33.6042 2 283.1568 ft 2B A 20.0023 0.9660 11 The requirement of the SAE aero design competition for landing ground run distance is 400ft. Our design with 45lb maximum loading had 283.16ft of ground run distance. Therefore, the plane will land safely to the ground within the given distance. Fuselage The dimension of the fuselage is going to be 4in x 5in x 25 in. The same equation is being used to calculate the force from the fuselage. CD FF C f Swet Sref However, the form factor FF is calculated differently from the wing because it is a function of the fuselage fineness ratio FR: 60 0.0025FR FR 3 fuselage length where FR fueslage diameter FF 1 For our calculation, the fuselage fineness ratio is about 4.8 and the form factor is about 1.55. The total coefficient of drag CD is about 0.032. The total drag force experienced from the fuselage is about FD 1 ApV 2 0.05 lbf 2 12 Wing Calculation The airfoil used is Selig 1223. Based on the software ModelFoil, the maximum coefficients of lift and drag are 2.95 and 0.05, respectively. The stall point of S1223 is about 15 degrees. The Reynolds number of the airfoil is about 326,000 (turbulence flow). The wing span is 120 inches and the chord is 12 inches. The total planform area is 1440 in2. Moreover, the surface area is estimated to be 3016 in2. The drag of the wing can be calculated as follow: CD FF C f Swet Sref 4 t t Where the form factor FF [1 L 100 ]R , S wet is the wetted surface area, c c S ref is the planform area, R is the lifting surface correlation parameter, Cf is the skin t friction coefficient, and is the ratio of thickness over cord length. It is to be assumed c that R is about 1.05 since this is a low-speed non-swept wing. Cf, which equals to 0.006, can be determined from the equation C f 0.455 since log Re 2.58 the Reynolds number is high and the airflow is turbulence. The drag from the wing is calculated to be about 0.017. The drag force due to the wing is calculated as: FD 1 ApV 2 3.6 lbf 2 where ρ is the density of the air, Ap is the projected area, and V is the velocity of the plane. Based on the above formula, the drag force is calculated to be about 3.6 lbf. Similarly, from the coefficient of lift the group obtained from ModelFoil, the lift force of the wing can then be calculated as: FL 1 ApV 2 61.40 lbf 2 Since the magnitude of the lift force is much greater than the magnitude of drag force, the plane is assumed to fly without any major external forces such as high wind and other environmental conditions. 13 Tail Calculation The tail calculation is very similar to the wing. However, the tail is divided into two parts, the horizontal tail and the horizontal. The group decided to use NACA 0012 airfoil for the tail due to its simplicity of construction. The wing span of the horizontal tail is 40 inches and its chord is 7 inches. The surface area is estimated to be about 685.18 in2. From ModelFoil, the following data of NACA 0012 airfoil at zero degree initial angle of attack can be obtained: Coefficient of lift CL = 0 Coefficient of drag CD = 0.01 Similarly to the wing calculations, the lift and drag forces of the horizontal tail are calculated to be: FL 1 A p V 2 0 2 FD 1 A p V 2 0.022 lbf 2 The horizontal tail does not contribute any lift of the plane because the airfoil NACA 0012 has no initial coefficient of lift at zero angle of attack. Moreover, NACA 0012 airfoil is not efficient for high lift aircrafts even though the initial angel is not zero. Just like the horizontal wing, the vertical wing has no contribution to the lift of the plane. The vertical tail has a height of 24 inches. The Mean Aerodynamic Chord (MAC) is calculated to be about 9.8 inches. The surface area is estimated to be 189 in2 and the planform area is 235.2 in2. Moreover, the thickness to chord ratio is about 0.12 and the form factor FF is about 1.27. The coefficient of lift and drag are being obtained from Modelfoil, Coefficient of lift CL = 0 Coefficient of drag CD = 0.01 The vertical tail has a very minimum effect of the drag force also because the projected area of the vertical is very small. However, the drag force of the vertical tail can’t be calculated as: FD 1 ApV 2 0.013 lbf 2 14 Design Selection Wing The wing is the most important part any plane, it is the component that creates lift and allows flight. One hundred years ago two men discovered how to create a light weight wings and using other light weight material they were able to be the first people to fly under power. The wing that we have designed this year has incorporated all the knowledge that people have discovered about wings over the last one hundred years. The first thing to do when designing a wing is to look at the airfoil shape that the wing will take. The airfoil is a shape that has characteristics that create lift. When looking into the airfoil, like any portion of the plane, it is important to first do research into the subject and to look at what people have done before. This team looked into what airfoils previous teams at this school used, to see if they used similar airfoils and how well the airfoils preformed. The team then used an airfoil software, ModelFoil, and calculations to compare the characteristics of many airfoils. The airfoils included 2000’s E 211, 2001 E423, 2002’s OAF102, and from our own research the E214 and S1223. The program was able to generate many of the key numbers that are important to engineers in designing the wing, top among these is the coefficient of lift and drag at different angles of attack. The plane to be designed is a heavy lift cargo plane and there for must have a high coefficient of lift, even at low speeds, and has a low coefficient of drag. This maximizes the ability of a plane with a heavy load to take off within the given output of engine constraints. Comparing the data received from the software, and other calculations it is determined that the S1223 is the best airfoil with a high coefficient of lift and a small coefficient of drag. The graphs generated from the ModelFoil software can be found in appendix B-1 showing comparisons between CL vs. Angle of Attack of the various airfoils. This data can then be used in the various calculations in order to determine the characteristics of the plane see the calculations section for further details. The airfoil is the most important part of the wing creating lift but there many decisions to be made before the wing design is done. The wing shape and the angle with which it makes parallel to the ground improve some of the characteristics of airfoil chosen. The wing shapes considered by the group were rectangular, tapered, elliptical, swept and elliptical each with there own positive and negatives see appendix G. The rectangular wing shape was chosen mainly for its easy of build, though its stall characteristics is worst then that of the elliptical, which is corrected with the addition of a honer plate on the tip of the wing. The honer plate disrupts air flow over the tip of the wing helping create lift and abating stall. The wing angle gives many improving characteristics to the airfoil including stability and performance see appendix G. A dihedral angle is the common angle used on model aircraft and has been used many times in previous years. The dihedral angle improves stability in side to side motion as well as stability in turning. Once all of the components of the wing are decided on, and the major calculations concerning the characteristics of the plane are completed, the design for the construction can begin. Design for construction takes into account the decisions made the materials to 15 use and way in which parts can be fabricated. The wing makes up the largest area of the plane but is among the lightest. There are to main construction methods for building a model aircraft wing foam core and risers, each with there benefits and drawbacks. The foam core is and easy construction and has been used with varying degrees of success in the past. The foam core is just that lightweight foam that is shaped, with a hot wire, in to the airfoil design, and then covered with various materials to improve strength. One year the covering was Kevlar attached with an epoxy, the epoxy soaked in to the foam making the wing heavier then designed, the plane did not do well that year. Other years they have used foam core with a little better success but not much. This year the team has decided to use the rise constructions method which entails creating many thin airfoils, out of balsa wood, and spacing each along wooden spars through out the wing. The spacing was determined to be every 2 inches, this distance was determined from studying commercial available planes and a previous years plans for a riser wing. A front edge wooden dowel and two middle spares give the wing its strength; a tailing edge supports the flaps, gives the tailing edge airfoil shape and also lends strength to the wing. See appendix B-2 for the detailed design of the rib and appendix B-3 to see the final fabrication of the wing. The tail edge of the wing contains the flap, a small surface that can be moved up or down to increase or decrease the coefficient of lift. It is during takeoff that the flap is lowered to increase the angle of attack and allow for increased lift; during landing the flap is raised it increase drag so the plane can lower itself safely to the ground. The design of the flap was determined from advice from experienced model fliers. In previous years groups tried to create flaps without using advice from experienced modelers and the soon learned that it was some thing that you gained experience, equations are idealized models not the real thing. These experienced modelers advised use the flap should be 25% of the camber and 30% of the length. The flaps are controlled by two independent servos, one for each side of the wing, allowing for vertical movement only. The wing a static analysis, in SolidWorks, was done on the wing to determine if it could support crack under the lifting force. This was a simple beam analysis on half of the wing, it was determined that the lifting force was no sufficient to break the wing. This final analysis with the completed design of the wing can be found in appendix B-4. 16 Tail The horizontal and vertical stabilizer provides stability and controllability during the flight. The purpose of the horizontal stabilizer, or elevator, is to prevent up and down motion of the nose and provides downward lift. The vertical stabilizer keeps the plane in a straight line. It controls yaw motion so that, they keep the plane from swerving to the left or to the right. There are many types of tail designs available such as; Conventional tail, T-tail, V-tail, or H-tail. They do not perform significantly different from one to another. For example, each tail will behave the same as long as the surface area of horizontal and vertical stabilizer is same. On the other hand, the tail does not provide lift to the plane. Therefore, the considerations of selecting the tail were ease to construct and least drag. Our group decided to use NACA0012 airfoil for horizontal stabilizer that has symmetrical shape top and bottom, also has least drag. For vertical stabilizer, the group selected just thin planar surface, not an airfoil, that as rounded shape in front and the flap on rear side. For the construction of the horizontal stabilizer, our group will use the risers that will be made out of balsa wood connected with simple wooden beam. Using wood for tail assembly is to reduce the weight and ease to construct. Since the vertical stabilizer is not an airfoil, it will be made out of wooden beams only. The wooden structures may be inaccurate during the cutting and bonding phase, however they would not affect the critical performance of the plane. See Appendix C for Tail Design 17 Fuselage In the selection of the fuselage several considerations were made when it came to the construction, strength and cost of making the fuselage. They include having panels, wire frame (truss structure) or cast molding a fuselage. Each of the options had advantages that were ideal for this project yet at the same time disadvantages that affected the selection of that particular fuselage design. The wire frame structure has its advantages, for instance it is very sturdy (if built correctly), and it is lightweight, affordable and enables the team to have easy access to the interior. These characteristics are ideal for a project of this nature where we must select components that are light and strong. The wire frame however is extremely difficult to construct and even though its structure is relatively strong, it may not withstand forces due to an improper landing. In the event that the plane does not execute a perfect landing there will be high stress in areas around the connecting joints and the wire frame may collapse due to failure. Another option considered in choosing a fuselage was a design comprised of panels. Panels are generally lightweight, easy to construct and assemble and can be considered affordable but it is not as strong as the wire frame design. Due to its cost, ease of construction and assembly it appears to be a good choice irregardless of its strength. Panels also allow for easy access to the cargo bay, engine, fuel tank and other components. The team considered the use of a fuselage cast mold. Cast molding is very advantageous for several reasons; it provides a very accurate shape which in turn gives it aerodynamic advantages, the fuselage is very strong and does not require any assembly. These factors are very important to selecting the perfect design, however it is also very costly to make, it is heavier than the other designs and its aerodynamic shape is not necessary for flight at low speed. The panel design was selected after constructing a design matrix. (See Appendix D) To view the proposed fuselage and reconstructed design see Appendix D 18 Tail Boom Several factors were taken to consideration when selecting a tail boom; construction, weight and strength are most important. A design matrix was constructed based on those characteristics and is listed below. Initially it was decided to select a tripod system constructed out of carbon fibers. A flaw was later detected in this design as the team did not account for any torsion force that may be created from the tail onto the tail boom. With this consideration made the tripod system was eliminated and we incorporated a truss-like structure made out of balsa wood and covered by a monokote layer. This design is suitable because it is lightweight, sturdy and affordable. To view tail boom SolidWorks design see Appendix E 19 Landing Gear The landing gear is the first part of the plane that touches the ground upon landing and absorbs the forces. The design of the landing gear has given the most trouble to groups in the past, and this year’s group started its design of the landing gear based on previous year’s experience. In previous years planes that could take off crashed because of failures in the landing gear. The first flight of the plane last year the main landing gear impacted the ground and elastically deforming and causing the propeller to break. The team was able to fix the landing gear by adding a tie rod between the two wheels lessening the elastic deflection. Another problem with the landing gear was the front land gear, upon landing the nose gear hit first bending backward and again destroying the propeller. This year’s team has come up with many solutions to the problems of past years. A few different designs were made in the SolidWorks program and static analysis was preformed in CosmosWorks. The results of the analysis were used to determine which design would best correct the problems seen in the past. The fifth design seen in appendix F gave the smallest deflection, which corrects the first problem above. The fact that it has so little deflection is a problem because most of the force transferred into the plane. This can cause various problems including damaging sensitive equipment, this could be corrected using a spring damper system, but time constraints and cost made this idea a secondary solution to the landing gear. Last years final design is the most practical design to use, not only did it work but the airplane inventory has many spare main landing gear parts, for these reasons the final design for the main landing gear is a simple trapezoid made out of light aluminum material. The position of the third wheel of the landing gear is still in debate, it can be placed in either the front or off the tail of the airplane and each position has is benefits and drawbacks. The nose landing gear allows for maximized control on the ground, but if it should hit hard it the landing gear could bend plastically and even destroy the prop and damage the engine. The tail landing gear allows for slightly decreased maneuverability, and the chance still exists that the nose could hit first. The placement of the wheel will not affect the flight performance of the plane; with this in mind testing will help determine the placement of the landing gear the team will choose. 20 Final Design The final design of the plane consists of a combination of all the selected designs of the wing, tail, fuselage, and landing gear. After intensive research and calculations, the group decided to use Selig 1223 high lift airfoil. The final wing design is going to be a dihedral wing with Horner plate at the ends. There will be flaps attached at end of the wing. Risers will be used for the wing construction. Servos for controlling flaps will be installed inside the airfoil. The fuselage is specially designed to contain the motor, fuel tank, loads, radio receiver, battery, and servos in separate compartments. The team decided to use balsa wood for the construction of the fuselage because if it is endurable and light weighted. The wing and landing gear of the plane will also be directly attached to the fuselage. The final tail design chosen is the conventional tail. There will be flaps at the end of both the horizontal and vertical tail for stability. The construction of the tail is very similar to the wing, using risers with balsa wood. The tail boom is constructed as a truss in order to prevent bending and twisting forces of the tail. Balsa wood will also be used to construct the tail boom of the plane. The tail boom will be covered with a thin layer of monokote for minimizing the aerodynamic drag forces during flight. The landing gear of the plane has to be light and stiff to withstand the landing impact of the plane. Based on this reason, the team decided to use aluminum for the construction of the landing gear. Rubber bar will be used for the construction of the horizontal rod that is attached between the wheels. The landing gear will be directly attached to the base of the fuselage. Due the SAE competition specification changed this year, the group is considering other design approaches such as ideas of a biplane to increase the lift and adding some kind of shock absorber to the landing gear to minimize the impact. However, since the finalized rules were posted toward the end of the semester, the team is going to perform more research in these areas over the break and at the beginning of the following semester. See Appendix J for CAD models of final design and design components 21 Budget In the beginning of the semester the team came up with a budget for the plane using estimates which can be scene in appendix K. This budget was roughly based on previous year's cost and from research into costing on the internet and hobby shops. The final costing of the material is yet to be completed, but the cost will be significantly less then originally proposed. The big ticket items, such as the engine, radio controller, and servos, were bought in previous years and are still viable. The materials budget will go mostly to wood, glue, covering and ect. The bulk of the budget will need to go into the trip, the cost of a van, lodging and registration fees. The details of the budget have not been worked out by the time of the final report, but most of the materials will be purchased at hobby shops. Since the design of the plane is now finalized the team will spend the holiday break pricing materials and will be able to start building in the beginning of the spring semester. 22 Schedule Please see the attached Gantt Chart (Appendix A) for the detailed breakdown of the schedule for or project. It shows the tasks and the timeframe in which we are aiming to complete them. Team Dynamics Aero Design Team is made out of five members; Stephen McNulty, Richard-Marc Hernandez, Yoosuk Kee, Jessica Pisano, and Chi-Ieong Yan. Each of the team members has a high level of commitment and motivation to design and fabricate the best cargo plane and hopefully to win the competition, which will allow us to overcome the lack of knowledge and experience. In the beginning, the team is divided into two smaller groups to achieve a more efficient use of time. The team broke down the plane into smaller components such as research of the airfoil, wing shape, tail stabilizer, landing gear, fuselage, and control surface. The smaller teams research subcomponents of the airplane and the whole team meets twice a week to discuss the research results. Towards the second half of the semester, our team worked together in one large group. We worked individually but met several times a week so decide on design selection. Advisor Meetings The advisor for the Aero Design Team is Professor Siva Thangam. The team and the advisor meet once a week to discuss what the team has done so far and to obtain the guidelines for further research. The professor steers the team in the right direction, and he offers guidance from experience and knowledge. He also teaches the team how to read and analyze some of critical equations and graphs. A detailed journal of weekly group work and advisor meetings can be found in Appendix L 23 Conclusions At the beginning of this project the team set out to design, analyzes, construct and compete in the aero design west heavy lift cargo plane competition. The rules of the competition laid out the design constraints the team had to work in. The plane has to have a minimum wingspan of 10 feet, and is constrained by the thrust that the OS .61 engine outputs. The goal is to lift as much weight as possible, taking off in within 200ft and land in 400 ft with out crashing. The team designed, using calculations, software, and experience, has designed a plane to do just that. Breaking the plane in to its components and doing a detailed design of each the team was able to optimize the design. Now that the design is finalized the construction will begin in the next semester, which will include testing and will conclude in June at the aero design west competition in Ft Worth TX. 24 Appendix 25 Appendix A Gantt Chart 26 Appendix B Wing Design Appendix B-1 ModelFoil Graphs 29 Appendix B-2 Rib Design Rib Design 30 Appendix B-3 Wing Design 31 Appendix B-4 Cosmos Analysis of Wing Max stress = 330.9 psi 32 Appendix C Tail Design Tail Riser Tail: 33 Appendix D Fuselage Design The proposed fuselage design was: With the change in the design rules the team decided to reconstruct the fuselage design: 34 Appendix E Tail Boom 35 Appendix F Landing Gear Analysis Design 1 Design 2 Design 3 Design 4 Design 5 36 Appendix G Decision Matrices 37 Wing Efficiency Importance 4 Rect. Wing Shape Matrix Stall Characteristic Construct. Overall 5 4 65 4 4 5 56 Tapered 4 4 4 52 Elliptical 5 5 2 48 Swept 3 3 3 36 Delta 3 3 3 36 Wing Angle Matrix Important Factor Dihedral Flat Cathedral Gull Stability 5 5 3 5 3 Performance 4 4 3 2 2 Efficiency 4 5 4 2 2 Construction 3 3 5 3 2 Overall 80 70 58 50 37 38 Airfoil Matrix Important Factor E122 E214 E423 OAF102 S1223 Cl 5 1 2 2 3 5 Cd 2 5 4 4 3 2 Construction 3 5 5 4 4 3 Overall 50 30 33 30 33 38 Fuselage Importance Panels Construction 5 5 3 4 Weight 5 5 4 3 Cost 4 5 4 2 Strength 4 3 5 4 Total 90 82 71 59 1 2 3 Ranking Wire frame Cast Mold 39 Landing Gear Matrix Importance Bent Rod Without Bent Rod Solid Nose Solid Tail Factor Nose Tail Steerability 3 5 3 5 4 Impact 5 2 3 3 4 Construction 3 4 3 3 3 Total 50 37 33 39 41 3 5 3 5 4 Impact 5 3.5 4.5 4 5 Construction 3 4 3 3 3 Total 50 44.5 40.5 44 46 Rod With Rod Steerability 40 Tail Matrix Importance Conventional T-Tail H-Tail Tail Triple V-Tail Tail Construction 5 5 4 4 3 4 Surface 4 4 4 4 3 4 4 4 4 4 5 3 65 57 52 52 47 48 1 2 2 5 4 Area/ Drag Control/ Stability Total Ranking Tail Boom Matrix Importance 1 spar 2 spars 3 spars 3 or more panels Construction 4 5 5 5 4 Weight 4 5 4 3 5 Strength 5 3 4 5 3 Total 65 55 56 57 51 3 2 1 4 Ranking 41 Construction Matrix Wing Tail Fuselage Boom Landing Gear Foam Riser s Aluminu m Plate Plywoo d Woode n Dowels Carbon Fiber Tubes Aluminu m S te e l Rubber Core Import ance Ease 3 2 4 5 5 5 4 4 3 3 Strength 3 4 4 5 5 3 5 3 4 4 Accurac y 4 3 4 5 5 5 5 4 3 4 Weight 5 3 5 2 4 4 5 4 3 2 Machine ability 3 4 5 5 5 5 4 5 3 2 57 80 75 85 79 87 72 57 53 Total 42 Appendix H Nugget Chart 43 Appendix I Calculations 44 total distance (ft) 2.094889028 surface area (ft^2) 20.94889028 (in^2) 3016.6402 Wing: Re (S1223) Swet 326529 3016.6402 in^2 Wing Span 120 in Wing Chord 12 in Sref Clmax 1440 2.95611 Cf (turbulent) 0.005559594 Cf (laminar) 0.002324006 t/c in^2 0.121 x/c 0.2 FF 1.384435888 Cdmin (turb) 0.016124153 Cdmin (laminar) 0.006740173 Fuselage: length width 25 in 5 in planforrm area 151 in^2 wetted area 605 in^2 fuselage/boom density 0.002175 coefficient of viscosity 3.677E-07 Velocity (flight speed) 51 Re (turbulent) l/d Form factor slugs/ft^3 slugs/ft-sec ft/sec 628484.4982 5 1.4925 Cf 0.004883112 Cd min (turbulent) 0.029200444 Horizontal tail: 45 Re (NACA 0012) chord (MAC) Swet Wing Span Sref Clmax Cf (laminar) t/c 175975.6595 7 685.1837658 40 280 in^2 in in^2 0 0.003165715 0.12 x/c 0.287 FF 1.27160708 Cdmin (laminar) in 0.009850851 Vertical Tail: Re 246365.9233 MAC 9.8 in Swet 189 in^2 Tail height Sref 24 in 235.2 in Clmax Cf (laminar) t/c 0.002675517 0.12 x/c 0.287 FF 1.27160708 Cdmin (laminar) 0.002733916 Tail Boom: Re 1835174.735 length boom 48 in length fuselage 25 in length fuselage/boom 73 in Swet 28 in^2 Sref 14 in^2 Cf (turbulent) 0.004001212 Cd min (turbulent) 0.008402546 Landing Gear: Cd min (single strut & wheel) Cd min (tricycle) coefficient of rolling friction weight of plane (with load) rolling drag 1.01 0.004208333 0.03 40 lb 0.96 lb 46 Engine: Cd min Cd min (total) Efficiency of Wing 0.002 0.072520243 0.95 K' 0.033506304 K'' 0.0137 Cd total 0.120237752 Takeoff: Velocity Vto 58.28356494 Velocity Vto ft/sec mph Static Trust 20 lb Drag Force 5.771299647 lbf 98.2843978 lbf Lift Force mean acceleration 12.86167199 ft/sec^2 Sg 132.0580226 ft mass 1.242236025 slugs Cl0 1.082775724 Cd 0.053337684 k 0.001307586 slugs/ft D0 4.441834041 lb S0 149.5508585 ft 46.36355845 50.78873362 Gravity Thrst at 0 airspeed 32.2 0 Vstall 24.37106772 ft/sec Vtd 31.68238804 ft/sec Clg 1.749177515 Cdg 0.194238906 A -0.966 B 0.002599865 Slanding 251.6949294 ft/sec^2 47 Coefficient of Drag No Flaps Flaps +15 Flaps -15 0.12 coefficient of drag 0.1 0.08 0.06 0.04 0.02 0 -5 0 5 10 15 angle of attack Coefficient of Lift No Flaps Flaps +15 Flaps -15 3.5 coefficient of lift 3 2.5 2 1.5 1 0.5 0 -5 0 5 10 15 angel of attack 48 Monoplane Wing Span [in] 120 120 120 120 120 120 Wing Chord [in] 12 12 12 12 12 12 AS 10 10 10 10 10 10 Planform Area [in^2] 1440 1440 1440 1440 1440 1440 Total Weight [lb] 20 25 30 35 40 45 Takeoff Speed [ft/sec] 41.212704 46.07720384 50.47504786 54.51928282 58.28356494 61.819056 135 135 135 135 135 135 15 15 15 15 15 15 9 9 9 9 9 9 2025 2025 2025 2025 2025 2025 20 25 30 35 40 45 34.75360351 38.85570996 42.56429766 45.97469603 49.14901743 52.13040527 Biplane Wing Span [in] 120 120 120 120 120 120 Wing Chord [in] 12 12 12 12 12 12 AS 10 10 10 10 10 10 Planform Area [in^2] 2880 2880 2880 2880 2880 2880 Total Weight [lb] 30 35 40 45 50 55 Takeoff Speed [ft/sec] 35.69124862 38.55095459 41.212704 43.7126737 46.07720384 48.32617908 135 135 135 135 135 135 15 15 15 15 15 15 9 9 9 9 9 9 4050 4050 4050 4050 4050 4050 30 35 40 45 50 55 30.09750351 32.50901932 34.75360351 36.86176307 38.85570996 40.75221241 [mph] 49 Appendix J Final Design 50 51 52 Appendix K Beginning of Semester Budget Item Est. Cost SAE Membership SAE Registration $50.00 $300.00 Balsa Wood Plywood Motor R/C Controller Propeller Tires/Axle Batteries Servos Push Rods MonoKote Fuel Tank Misc. $10.00 $30.00 $120.00 $200.00 $15.00 $25.00 $15.00 $45.00 $10.00 $30.00 $5.00 $100.00 Total $855.00 53 Appendix L Journal 54 Week 1 Project selection In the ME 423 class, groups were formed and projects were chosen. After receiving approval, our group decided to have five members. Most of us had been interested in the Heavy Lift Cargo Plane project last spring and had received prior approval from the Mechanical Engineering Department. Advisor meeting After receiving confirmation of our group and project, we met with our advisor and received initial information including parameters and a suggested timeframe for various parts of the project. Week 2 Group Breakdown Our team decided that it would be more time efficient to split up into two smaller teams to work on separate parts of the project. Working in this manner, would enable more tasks to be completed at the same time. The group would then come together at least once a week to inform the rest of the team on their progress and research findings. Initial Research Our team looked at old progress reports from past teams that had done the Heavy Lift Cargo Plane project. We read the rules for last year’s competition and researched some airfoils and searched for any pertinent information for our project Project Organization We worked on coming up with a Gantt Chart for our project. This would enable us to stay on track with the timeframe allotted and be as productive as possible. Advisor meeting Our advisor suggested that we start researching airfoils. He gave us the names of a few books that we could read to learn more about airfoils. He also taught us about drag and lift coefficients so we could start working on the airfoils. Week 3 Proposal Part of the group started the proposal that is due on September 30th. They worked on the project objectives, project statement, deliverables, and project summary. Airfoil Research The other part of the team researched various different airfoil designs. They utilized the books that our advisor suggested we read and looked up various designs on the internet. They did some preliminary calculations on the airfoils and drag and lift coefficients. 55 Advisor meeting Our advisor gave us the “white papers” as well as more guidance on the airfoils and he critiqued the progress of the airfoil design thus far. He helped to steer the airfoil design team on a more concise path. Week 4 Airfoil Design The airfoil design has been narrowed down to 3 or 4 designs that our group will be discussing in order to choose the best one. Proposal Each member of our team wrote part of the project proposal and part of the team met to compile and edit it. Presentation Part of our group put together the PowerPoint presentation for our project proposal presentation on Thursday, October 2nd. Advisor meeting Our advisor told us that he would critique our proposal and presentation for us once we had completed it and offer his suggestions and corrections. Week 5 Project Proposal Presentation Our presentation went well this week. We received a lot of feedback from Professor Chassapis after the presentation. These were his comments: - focus what went wrong last year, especially the landing gear, don’t waste time on the airfoil - use last year's airfoil, it’s pretty much the same airfoil being used every year and it worked - buy a model plane and play with it - Learn to fly the plane ourselves for the competition instead of having someone else who have never seen the plane fly it Advisor meeting We did not have an advisor meeting this week due to the presentations Week 6 Group Member Concerns Three out of the five group members will be taking the FE exam on April 17, 2004. The dates for the SAE competition were posted last week and they are April 16-18, 2004. This created a major concern for some of our group members. We have been doing 56 research to see if there are alternate days or locations to take the FE exam. We are looking into the possibility of taking it in another state (e.g. NY). One of our group members has also tried writing to the board of the SAE Heavy Lift Cargo Plane competition at the advice of our project advisor. He outlined the problem and hopefully enough students from New Jersey that will be taking the FE exam that are participating in the competition will also write letters or send emails about the situation. We are waiting to get a response. Advisor Meeting This week we are getting back on track with selecting an airfoil. By next week, we plan to have the calculations completed for the airfoil design. We also want to start working on the landing gear and tail stabilizer. We also discussed various computer software that we can use for analyzing the airfoils and learning to fly the plane. We received a contact this week from our advisor named Lionel Cruz who is very experienced with flying model airplanes. Our group plans on contacting him soon so that we can benefit from his knowledge and experience. Week 7 E 421 Presentation This week part of our group worked on the slides for the midterm presentation for E 421. We completed the slides and lap package for the class and each individual member is going over the slides and they are going to add anything that they feel we missed. Airfoil Calculations The other part of our group is still working on the calculations for the airfoil. They are having significant difficulties. Although they have the white paper, they are still confused and hitting dead ends. They had most of the calculations done, but since the specifications for the competition were changed very recently on the web, they had to redo most of the calculations that were already done. Advisor Meeting We would have liked to have the calculations done this week, but with the rules for the competition changing and the confusion on the calculations and white paper, they were, unfortunately, not completed. We are falling behind schedule a little because we wanted to have the calculations completed one or 2 weeks ago. We also discussed that we were going to go ahead and try and start the fuselage or landing gear next week. Week 8 Stereo-lithography Lab This week we have a stereo-lithography lab to do for ME423 (Senior Design class). Part of our group spent their time this week on making the part. We had to create a part in a CAD program and have it approved before the lab of our lab. The lab was interesting but 57 we found out during the lab that our part would not work on the program we needed to convert it to because it was done in Solidworks. Apparently, the program that you need for the stereo-lithography lab is more compatible with Pro-Engineer and not very compatible with Solidworks. The other part of our group started working on the Landing Gear this week. We created a design matrix to list the pros and cons of each design we were considering and get a numerically weighted output of which design was the most economical, fastest to build, and most efficient design. Advisor Meeting We were not able to have an advisor meeting this week because our stereo-lithography lab was scheduled for the same time that our advisor meetings usually are. We will be meeting next week. Week 9 Stereo-lithography Lab We completed the Stereo-lithography lab. The file we had in SolidWorks didn’t work in the 3D-Light year software because of minor errors due to the method of modeling and scaling. One of our group members was able to figure out what was incorrect with the CAD drawing and was able to fix it so that we could have it created in the lab. Landing Gear SolidWorks models were created for various different design concepts. Each was analyzed with a stress and deformation analysis is CosmosWorks. Our group was able to see which designs would perform the best. Airfoil Calculations & Fuselage Calculations Our group met together and put down most of the layout of the calculations in excel. However, since the final conceptual design isn’t ready yet, we cannot complete all the calculations at this time. For example, we still need the detailed designs of the fuselage, landing gear, and other parts of the airplane to perform a complete calculation of the project. We are planning to finish up the calculations next week, and working on the progress presentation. We will have all the conceptual designs being compared in a matrix, rank them, and choose the best final design of the plane next week. E-421 Presentation The E-421 midterm presentation was this week. We presented our business concept and SEED model output for our project in the presentation. The presentation went well and there are a few things that we have to research for the final presentation. (MARR, breakeven year, and IRR). Advisor Meeting Professor Thangam reviewed the airfoil calculations that our group completed and informed us of what needed to be revised and corrected that we overlooked. 58 Week 10 ME-423 Midterm Presentation Most of this week was spent in preparation for out midterm presentation. We prepared our presentation which included the design, calculations and analysis of the airfoil, tail, fuselage, landing gear, and wing. We included the calculations, designs considered, designs selected and any SolidWorks models and COSMOS analysis into the presentation. The presentation went well. The panel had fewer questions for us and seemed to not have too much feedback. We received a few suggestions for consideration but nothing that needed to be drastically changed or redesigned. Week 11 CNC Workshop This Thursday was spend in the Machine Shop in the basement of the Burchard building learning about different machines and how to safely and properly use them. We even got to take a piece home that we made during the workshop. We learned how to cut the metal, size it, tap a hole, bore and thread the screw. We used a lathe, drill press, metal saw, tool for cutting a trench in our metal piece, and a machine that allowed us to cut off the excess metal to have the piece accurate to within five thousandths of an inch. We hope that this workshop will help as we enter the spring semester and begin to work on the construction of the airplane. The machinists were also very helpful and very willing to give up advice from previous experience. Having worked with the Heavy Lift Cargo plane groups before, they have a lot of experience and a wealth of knowledge to share. They were able to give us some suggestions on what and what not to do from a practical and machining point of view. They all seemed really willing to help and excited to help our group exceed the performance of previous groups. Calculations Our group is still working on some of the calculations. We are working on the calculations for the takeoff and landing distance as well as the lift and drag of the design. We had some trouble in the beginning with these calculations, but Professor Thangam gave us some direction so we will be working with the new information we were given this weekend. Week 12 Construction This week we worked on the technique that we will be using for the construction in the spring. We designed the construction technique that we hope to follow once we get all our parts in and our design completely finished. Wing Our group decided to use ribs in the wing to create better lift, more support, and a lighter wing. We spent part of our time this week designing the ribs as well as putting them into 59 SolidWorks. We will, hopefully, be running the analysis for the wings and ribs this weekend so we can see how effective they will be. Our group is also working with the idea is using a biplane. Since there is no maximum planform area, a biplane design would be feasible and effective. Calculations We are still working on finalizing the calculations for lift, drag and takeoff and landing distance. We hope to have these completed and finalized by next week. Advisor Meeting We discussed our progress with Professor Thangam. We showed him what calculations we have so far and he told us that he would look them over for us and give us his feedback. We also discussed the idea of using a biplane design with our advisor and he said that there was a group in the past that did a very thorough analysis of biplane design and that he would provide us with that information so we would not have to spend a lot of time redoing the analysis that was already completed. 60 Appendix References Programs: Solidworks Cosmos Modelfoil Microsoft Office Books: Fluid Mechanics, Fourth Edition, by Frank M. White, McGraw-Hill Book Company, Inc., 1999 Theory of Wing Sections by Ira H. Abbott and Albert E. Von Doenhoff, McGraw-Hill Book Company, Inc., 1959 Aircraft Detail Drafting by Norman Meadowcroft, McGraw-Hill Book Company, Inc., 1942 The Elements of Aerofoil and Airscrew Theory by Glauert, Cambridge University Press, 1944 Stress Analysis for Airplane Draftsmen by Ernest J. Greenwood and Joseph R. Silverman, McGraw-Hill Book Company, Inc., 1943 Weight-Strength Analysis for Aircraft Structures by F. R. Shanley, McGraw-Hill Company, Inc., 1952 Aerodynamic Theory Volume V-VI by Berlin-Julius Springer, print in Germany, 1936 Websites: http://www.sae.org/servlets/index http://towerhobbies.com/ http://history.nasa.gov/SP-367/contents.htm http://travel.howstuffworks.com/airplane.htm/printable http://quest.arc.nasa.gov/aero/events/collaborative/help.html http://ciurpita.tripod.com/rc/wing/air_db/wing.html http://www.kupula.com/SeniorD/seniorD.html 61 http://www.me.stevens-tech.edu/seniordesigns/2001-2/index.htm http://www.aae.uiuc.edu/m-selig/ads.html http://eiss.cnde.iastate.edu/calcs/frames.shtml http://www.allstar.fiu.edu/aero/Wing31.htm http://www.airfoils.com/index.htm http://www-ec.njit.edu/sae/aero.htm http://www.nasg.com/afdb/index-e.phtml http://www.allstar.fiu.edu/aero/flight14.htm http://www.aae.uiuc.edu/m-selig/uiuc_lsat/lsat_2bulletin.html http://www.engr.ku.edu/ae/event_SAElift.htm http://www.uwplatt.edu/~sae/AeroDesign.html http://www.me.mtu.edu/~saeaero/ http://www.zenithair.com/stolch801/design-tail.html http://www.eng.upm.edu.my/~aznijar/paper/WEC2002/wec113-RDS-paper.pdf http://ceaspub.eas.asu.edu/aero/mae444/notes/aerochapter.pdf 62