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Castle Crushing Catapults

2023-03-09 | By Lulzbot

License: See Original Project 3D Printer 3D Printing

Courtesy of Lulzbot

Guide by Jason Erdreich

While the technology may be ancient, the real-world concepts and lessons that can be learned ‎through designing and building catapults is still very much alive today! Through this hands-on ‎design challenge, students will learn how catapults have evolved over time as they design and ‎build their own modern-day projectile throwing devices under real-world specifications and ‎constraints.‎

Introduction

Lesson Overview:

Through this lesson, students will adventure into the science behind catapults of centuries old, ‎and modern day. Through hands-on activities, students will create their very own catapult ‎prototypes that combine simple machines and physics to make a projectile move.‎

By utilizing an engineering design process, students will gain real-world problem-solving skills ‎as they research, brainstorm, design, build, test, evaluate, and reflect upon their prototype ‎solutions. We will discover that there is no one answer to any problem as we research the ‎variety of mechanisms that have been used overtime. We will also discover that making ‎mistakes does not mean we failed, but that we are learning new ways to improve our creations.‎

This lesson offers opportunities to modify and adapt to suit the needs of a wide range of ‎learners in both age and prior experiences. Additionally, the lesson can be combined with a ‎variety of materials or production techniques to suit available resources in your classroom. ‎Through safe prototyping techniques, students will learn how to blend computer aided design ‎software and rapid prototyping through 3D printing with other manufacturing and prototyping ‎techniques as they fabricate their catapult creations that must meet the specifications and ‎constraints of this real-world design challenge!‎

Utilizing An Engineering Design Process:‎

An Engineering Design Process, or design loop, is a method used by scientists, designers, and ‎engineers to develop solutions to our everyday problems. Through a design loop, students will ‎develop skills in problem solving as they brainstorm solutions and work to create a prototype ‎through hands-on activities.

‎Design loops come in many shapes and sizes, but none are ever truly ending. The “last” step of ‎any design loop is redesign, or reflection, where we look at what we’ve learned in our ‎developed prototype to improve upon its design. Not being afraid of failure is a powerful ‎concept that leads to greater success and implementation of problem solving.

Stepdesign_1

Lesson Objectives:‎

  • Students will be able to identify the differences between various forms of catapults and ‎explain the physics behind how they work‎
  • Students will be able to identify simple machines and how they function
  • Students will be able to determine the effectiveness of a product or system through ‎experimentation and analyzing collected data‎
  • Students will utilize an engineering design process to develop their own solutions to a real-‎world problem
  • Students will utilize computer aided design (CAD) software to create a 3D model that can be ‎produced on a 3D printer‎
  • Students will understand how 3D printers work and how they are used in an industrial setting
  • Students will be able to safely apply prototyping techniques to construct designed solutions to ‎real-world problems

Materials:‎

This is a list of materials each student will need to complete this lesson:

  • Computer or tablet with Internet access‎‎
  • Computer Aided Design (CAD) software‎‎
  • 3D Printer and Filament
  • Castle Challenge Blocks / Tape Measure for Testing / Evaluation‎
  • Paper, pencils
  • Rubber bands, string, weights, and ping pong balls
  • Assorted non-3D printed materials to include in prototyping (optional)‎‎
  • Click here for sample models shown throughout this lesson‎

Example_2

Example Trebuchet prototype counterweight system

Printed on a Lulzbot TAZ SideKick 747‎

Modifications:‎

In addition to this lesson plan, see our One Page Brief [PDF] that can be used to guide students ‎through the lesson. Additional examples as to how this lesson could be modified are:

  • Additional tools and materials to construct prototypes such as cardboard, popsicle sticks, ‎Styrofoam, or hot glue to combine with 3D printed parts
  • Catapults come in many different shapes and sizes, constrain students’ proportions to fit ‎within the limits of your classroom
  • Metal washers or pennies and make excellent weights for trebuchets and are easily ‎accessible
  • A variety of projectiles could be used to add a level of discovery and experimentation such as ‎ping pong balls, practice wiffle golf balls, or foam projectiles. Alternatively, students may even ‎design and fabricate their own projectiles‎
  • The testing criteria can be modified to use cups, tape lines, targets, or whatever else creates ‎an opportunity to allow students to test their catapult’s precision, accuracy, and power in a ‎real-world setting

Considerations:‎

Based upon the age of your students, introduce the concepts of machines, forces, medieval ‎times, precision, and accuracy using terms and concepts familiar to their prior experiences and ‎needs. When working with catapults, there is a level of danger in that students are creating a ‎projectile throwing device. Proper care and instruction must be taken to create a safe testing ‎environment where students are informed of the danger and how to use their prototypes safely.‎

Proper safety procedures should be introduced to students when working in any makerspace or ‎lab environment. When students are around machines such as 3D printers, or using tools to cut ‎or glue materials, students must be informed of potential hazards and taught how to use these ‎resources safely. For reference, see the safety resources offered by ITEEA.‎

Assessments:‎

Opportunities for formative assessments will take place through observations and discussions ‎between students as they interact with the content in this lesson. For summative assessment, ‎we recommend utilizing a rubric. Students’ success will not be based solely on the performance ‎of their catapult, but the implementation of a problem-solving process to solve an open-ended ‎problem. Example Rubric – PDF.‎

Step 1: Identify the Problem

The Evolution of Catapults

Catapults originated as weapons of defense to protect towns from raiding armies. Dating as far ‎back as 400 BC, the first catapult originated in Greece and resembled a crossbow with a ‎slingshot-like mechanism to fire arrows or rocks long distances. After some evolution and ‎design innovation, this early catapult was widely known as the Ballista and was popular with ‎both the ancient Greeks and Romans.‎

Torsion Machines, another type of catapult was also invented around 400 BC by the Romans as ‎an alternative to the Ballista. Torsion Machines are often what we think of when we envision ‎the classic catapult shape, with a frame and large basket or sling to propel projectiles towards ‎an enemy. Torsion Machines take many forms and shapes, but all use a twisted rope to creation ‎torsion, a force that is used to propel the projectiles forward.‎

A newer style catapult that has also proven to be popular over the years is known as a ‎Trebuchet. Originating in Europe around 500 AD, the Trebuchet differs from both a Ballista and ‎Torsion Machine in that no torsion or spring-like energy is used to propel a projectile forward. ‎Instead, a counterweight is dropped from great heights to provide energy.‎

So then are catapults just extinct old machines of ancient wars? Not at all! While the design and ‎general mechanics are the same, modern catapults are used in many applications for hobbies ‎or work. Tinkerers and makers create catapults of all types and sizes to compete in an annual ‎‎“Pumpkin Chunkin” competition every fall, and the United States Navy even uses a STEAM ‎powered catapult to propel jets to very high speeds in very short distances for takeoff on ‎Aircraft Carriers.‎

Prototype_3

A torsion-type mechanism on a catapult prototype. ‎

Printed on a Lulzbot Mini 2

How Do Catapults Work

So how do these catapults work? Well, all catapults, regardless of style are used to send a ‎projectile across great distances, but they achieve that in a few different ways. For this ‎challenge, we will be looking at torsion machines and trebuchets as we plan to create our real-‎world prototypes.‎

For both of these styles we need a frame to hold the catapult together and allow us to aim it at ‎our target. We also need some type of basket that we can load our projectile into that is ‎connected to a moving arm. From there, the catapults differ in parts and mechanisms.‎

For Torsion Machines, we will need a torsional spring to create the force we need to send our ‎projectile forward. This spring could be a tightly wound rope, or rubberband, or combination of ‎the two. This twisted rope also serves as the fulcrum, or pivot point, that our arm / basket ‎pivots on. A key component of torsion machines is the crossbar, a beam that the arm hits during ‎travel. This bar stops the arm and releases the projectile through a transfer of energy. The ‎position of the crossbar will determine the angle your projectile releases from. Consider adding ‎additional slingshot like rubber bands around the arm for more support and power, like a ‎Ballista!‎

For a Trebuchet, the energy comes from dropping a counterweight. You will need an arm that ‎is much longer than a torsion machine mounted at the top of your frame acting as a lever with ‎a rotating fulcrum. At one end will be your basket, the other will have the counterweight. For ‎an added amount of energy, consider adding a sling rather than a basket to create a second ‎fulcrum, or add a slingshot to your counterweight for added moment in a hybrid-like design!‎

Identify the Problem

Engineers, unite! Using modern-day tools, resources, and manufacturing techniques, you are all ‎challenged to bring the medieval technology of catapults into new light. Is there hope this ‎ancient technology can live on?

‎Through a series of challenges, you must choose to build either a Ballista, Torsion Machine, or ‎Trebuchet style catapult that can complete a series of real-world tasks. In these tasks, we will ‎be testing your catapult’s precision, accuracy, and power. For our design challenge, you must ‎abide to the following:

  • You must create a catapult using only the materials provided
  • You may research for existing solutions as inspiration and knowledge, but you must create a ‎unique and original design
  • Your catapult must be designed so that it can be operated safely during testing stages by ‎passing a safety inspection
  • Your 3D Model build volume may not exceed 36 in3
  • You have 1 day to brainstorm, 3 days to build, and 1 day to test & evaluate your designed ‎solutions

Step 2: Brainstorm Possible Solutions

Why Solutions and Not Solutions?‎

The second step of our Engineering Design Process is “Brainstorm Possible Solutions.” A key ‎part of this step is solutions being plural, meaning more than one. Why do designers and ‎engineers think of more than one way to solve a problem?‎

Brainstorming Our Solutions

As we work to think of different ways to solve this problem, there are a few things we can ‎consider to assist in our design, such as learning from existing catapult and trebuchet designs. ‎Take time to research existing catapults and think of how you may be able to recreate them ‎using the given supplies and constraints. Remember, you must choose to create a ballista, ‎torsion machine, or a trebuchet.‎

After researching existing catapults similar to the one you plan to create, begin to brainstorm ‎different ways you could construct your own catapult prototype under the specifications and ‎constraints of the challenge. Consider your testing criteria, how can you ensure your catapult ‎will perform well in the precision, accuracy, and power challenges? What can you take from ‎existing solutions to incorporate into your own small-scale prototype design?

‎Thumbnail sketches are a great way to think of many ideas quickly without getting caught up on ‎the details. Once you’ve completed the thumbnail sketches, narrow your choices down as you ‎create your final design. ‎

For your final sketch, create a clear design that is neat and labeled. Consider drawing your ‎design from multiple views (front, top, side, or isometric) to better portray your ideas.‎

Step 3: Develop a Prototype

What is 3D Printing?

‎Step 3 of the engineering design process is all about constructing our prototype solution! In this ‎step, we are going to get hands-on with software and machinery to create our final design.‎

One of the key prototyping machines used by today’s professional designers, engineers, and ‎scientists is a 3D printer. There are a lot of different types of 3D printers out there, but all 3D ‎printers create physical objects you can touch, and hold based on a 3D design or model. Some ‎‎3D printers melt rolls of plastic into the model, while others use light to harden a liquid resin. ‎There are even 3D printers that can print concrete, metal, or living cell tissue!‎

Lulzbot 3D printers use the fused deposition modeling process (FDM) that feeds and melts ‎spools of plastic through a nozzle, kind of like glue traveling through a hot glue gun. The plastic ‎is fed, or extruded, layer by layer to create the model designed in computer aided design (CAD) ‎software. Once we design our catapult prototype models in CAD software, we will be able to ‎send them to 3D printers to be manufactured!‎

Developing Out 3D Models

Now that we’ve brainstormed our catapult designs, it is time to begin to fabricate them! But ‎before we can 3D print our parts; we need a 3D design. To create this, we will use computer ‎aided design software, or CAD. There’s plenty of great free CAD programs out there, we ‎recommend Tinkercad, FreeCAD, Fusion360, or OnShape for students.‎

All of our catapults, whether they be ballistas, torsion machines, or trebuchets, will have ‎moving parts as we create a sliding groove or rotating fulcrum. This area of your design must ‎be loose enough that movement can occur, but not so loose that your catapult performs ‎inconsistently. It is important to have accurate measurements, or dimensions, when creating ‎components that fit together.

‎In addition to having accurate dimensions, we must also create tolerances within our designs. ‎Tolerances are added to the measurements you take to allow for some “wiggle room” between ‎our parts and components. For example, if you wanted around 1/8” cylinder to rotate through a ‎hole, we should not make the hole 1/8”. Instead, we would make the hole a little bigger to ‎accommodate for shrinking during the printing process and to reduce friction during rotation. ‎In general, adding 1/16” to our hole diameter (now 3/16”) would accommodate the rotation ‎and acts a good general tolerance when working with PLA. Note, model shrinking and required ‎tolerances can vary based on filament, printer, printing conditions, and print orientation.

‎We also want our models to be strong, avoiding thinner parts that are less than 1/8” in ‎thickness should avoid snapping under load on our catapults. Orient your parts so they print ‎with the 3D print layers and against the direction force will be applied. Understanding how ‎FDM printers work allows students to design more efficiently as they use the layer direction to ‎strengthen their models.

‎Other important factors to consider are your model’s overall size and any overhangs in your ‎design. Any issues with these factors could render your design unprintable or cause it to fail ‎during or after the manufacturing process. Provide examples of these design constraints to ‎students, as well as ways to avoid them.‎

Check_4

‎Checking dimensions for a prototype arm designed in the advanced Onshape CAD program

Printing!

Once students have completed their designs, it’s time to download and prepare them using ‎Cura. Cura is not a CAD program in that it allows you to design your models. Instead, Cura ‎‎“slices” models layer by layer to create a program file, or Gcode file, for the 3D printer to read. ‎This Gcode file is a set of directions that the 3D printer follows as it prints your model.

‎In general, we recommend PLA filament for most classroom uses as it’s a safe plastic to print in ‎schools and prints easily in nearly any setting. PLA works well for most applications, but if you ‎need your prototypes to be flexible or exceptionally strong, consider looking into other ‎materials that may better suit your needs. When printing your student’s models, we must also ‎choose our print settings to best suit the needs of our models.‎

High Speed has a default layer height of 0.38mm and works best to create models that do not ‎require lots of detail quickly.‎

Standard has a default layer height of 0.25mm and is the best compromise between speed and ‎detail for parts that need to fit together but still be strong.

‎High Detail has a default layer height of 0.18mm and is best for printing detailed and delicate ‎models slowly.

‎For the catapult models, the standard print setting will most likely work best as it will allow ‎students’ tolerances to print accurately without taking too long to print. Additionally, if you ‎students have any overhangs, you should use support material. Support material is ‎automatically drawn by Cura and it fills any gaps or structural flaws. After the model is printed, ‎support material can be carefully removed by peeling it off of the model.‎

Prepare_5

Preparing a catapult prototype for 3D printing on a Lulzbot Mini 2 using Cura Lulzbot Edition

Constructing Our Prototypes

In the final part of this stage in the engineering design process, we must construct our ‎prototypes after all parts have been 3D printed. Depending on available resources and the ‎specifications and constraints of the challenge, this step may involve assembling 3D printed ‎parts together, or gluing other materials like popsicle sticks, paper cups, and wooden dowels to ‎parts that have been 3D printed. Time will vary based on how many materials and resources ‎students have to build with.‎

For our catapults, time and care must be taken to ensure all prototypes are assembled safely ‎and strongly. We recommend the teacher to create a safety inspection model that allows ‎students to present their prototypes to the teacher prior to testing stages. Attaching rubber ‎bands, tensioning string, or fixing weights to prototypes should be closely monitored and ‎checked for potential failure or hazards.‎

Drilling holes or sanding parts may be needed based upon desired fit, or to compensate for ‎measurements and tolerances used in the modeling stages. To reduce friction, sand parts that ‎rotate among one another or use powdered graphite lubricants to aid in reducing binding.‎

Remember, proper safety procedures should be introduced to students when working in any ‎makerspace or lab environment. When students are around machines such as 3D printers, or ‎using tools to cut or glue materials, students must be informed of potential hazards and taught ‎how to use these resources safely. For reference, see the safety resources offered by ITEEA.‎

Printed_6

Example catapult prototype made with a combination of materials in addition to 3D printed ‎parts

Printed on a LulzBot Mini 2‎

Step 4: Testing and Evaluation

To test our catapult prototypes, we will be looking at three factors to consider how well they ‎perform across two different tests.‎

Torsion_7

A torsion machine style catapult is lined up with 3D printed blocks to test the precision and ‎accuracy of the prototype in the Castle Challenge

Precision will allow us to determine how reliable, or consistent, your catapult is. This factor is ‎important for your prototype to perform well over a long period of time. To determine ‎precision, we will be using our Castle Challenge. In this challenge, students will fire five ‎consecutive shots at a nine-block castle. Take note of where each shot hits the castle and ‎rebuild the castle each time. If your catapult is precise, each shot should land in nearly the ‎same location as shown in the graphic below.‎

Accuracy will allow us to determine how well tuned and easy to operate your catapult is. We ‎will be testing accuracy simultaneously with precision in the Castle Challenge. During the five ‎shots, take note of where the ball hits the castle each time while aiming for the center block. If ‎your shots cluster around the center block, your catapult is accurate as shown in the graphic ‎below.‎

Power will allow us to determine the strength and efficiency of your catapult. To determine ‎power, we will be using the Distance Challenge. For this challenge, utilize a long tape measure ‎to create a straight and incremented testing area. Take three shots to send a projectile as far ‎as possible while recording the distance the projectile travels each time. Once all trials have ‎taken place, find your average distance across all three trials. Then compare your average ‎distance with your classmates to determine the difference in power among your prototypes ‎solutions.‎

In addition to the Castle and Distance challenges, we recommend some friendly competition ‎among groups to determine catapult champions! During the castle challenge, each block ‎knocked to the ground can count as a point across all five trials. After the trials, total the ‎number of points scored in addition to determining the level of precision and accuracy obtained. ‎Points can also be awarded for performance in the distance challenge by assigning points based ‎upon the distances traveled across the class averages.‎

Challenge_8

The Castle Challenge allows us to determine if our prototypes are precise, accurate, or both by ‎tracking where the projectile lands during each trial.‎

Step 5: Redesign

No design is perfect, nor is it ever truly finished. As new technology is developed improvements ‎like cost, speed, performance, or aesthetics can always be made. Consider your findings from ‎testing and evaluating your catapult prototypes. What worked well? What could be improved?‎

Which one of the challenges (precision, accuracy, and power) did your catapult perform well in? ‎Did it perform better in one challenge more than the others? Why do you think this happened? ‎When considering redesign, we must look at both the successes and failures of our prototypes. ‎A failed design does not mean we failed; it means we have room to improve upon for the next ‎prototype solution.‎

Create a sketch of an improved catapult design with changes you would make to improve the ‎performance of your catapult. Your sketch should be neat and label the changes you are ‎making to improve your solution’s performance. Include why you’ve chosen these changes and ‎how you think they will improve your design.‎

Collaborate and Share What We Learned

Based on how the Test and Evaluate stage of the design process took place, there are many ‎ways to allow students to collaborate and share what they learned through the challenge. In the ‎competition model, high scores, records, or exceptional achievements can be acknowledged. ‎Afterall, we’re always looking for reasons to 3D print a trophy!

‎Additionally, students must identify that their success is not solely based upon the points they ‎gained in testing, but also the lesson and knowledge they learned. In this step, look at the ‎unique features from each catapult prototype as a group to discuss the variety in design and ‎ways to improve. Allow students to share how they would improve upon their own designs as ‎they analyze and provide constructive feedback to their peers.

制造商零件编号 KT-PR0058
NORTH AMERICA ONLY - LULZBOT TAZ
LulzBot
制造商零件编号 KT-PR0047NA
LULZBOT MINI 2 NORTH AMERICA
LulzBot
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