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_posts/teaching/mechdesign/2023-03-20-homework3solution.md

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categories: mechdesign_homework
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layout: mechdesign_default
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title: Homework 3 Solution
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For problems 1-5, see [solutions](/_teaching/mechdesign/Homework/Homework 3 Solutions 2023.pdf).

_posts/teaching/mechdesign/2023-03-21-homework4.md

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<img src="/_images/mechdesign/hw3_1.png" alt="Drawing" style="height: 400px;"/>
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### Problem 4 (50 Points)
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Choose one of the following two problems.
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First, complete [this tutorial](https://courses.ansys.com/index.php/courses/plate-with-a-hole-optimization/lessons/problem-specification-lesson-1-30/) to get familiar with structure design in ANSYS.
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For more explanations on ANSYS Optimization, please check [this tutorial](https://designinformaticslab.github.io/productdesign_tutorial/2016/11/20/ansys.html).
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![Alt text](https://external-content.duckduckgo.com/iu/?u=https%3A%2F%2Fwww.teslaoracle.com%2Fwp-content%2Fuploads%2F2022%2F06%2FSpaceX-Starship-Launch-Tower-Chopsticks-Starbase-1024x576.jpg&f=1&nofb=1&ipt=6d694dfa53f339a5607fc517dfea56191940cc7ad0bd3d2b846841cb440a8d4d&ipo=images "a title")
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Then choose one of the following structure design problems to solve using ANSYS.
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1. The "Chopsticks" that catch SpaceX BFRs during their landing.
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2. A bridge. To narrow down the design specifications, you could refer to any famous bridges, e.g., the Mathematical Bridge at Cambridge.
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1. "Chopsticks" (see figure below) is introduced to facilitate the landing of SpaceX BFRs.
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To design the chopsticks concept, let us simplify it as a 2D truss structure and consider the rocket as a point load
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(similar to what we did in the design competition).
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* (40 Points) Derive an optimal truss design that minimizes the compliance while satisfying a total weight constraint.
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* (10 Points) For the design you created, comment on its yield, fatigue, and buckling risks.
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For the problem of your choice:
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* (10 Points) Clearly explain your design objectives, variables, constraints, and assumptions.
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* (40 Points) Find and validate the optimal design.
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This [truss optimization code](https://colab.research.google.com/drive/102Bu4ZGRkomLlhbVwEtHPjyIJEPSGE_e#scrollTo=ZNYHR-rbkv5a) may come in handy.
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2. Follow [this tutorial](https://courses.ansys.com/index.php/courses/plate-with-a-hole-optimization/lessons/problem-specification-lesson-1-30/) to solve a structure design problem in ANSYS.
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Please note that you can either use the running example in the tutorial, or define your own design problem.
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For more explanations on DOE and Optimization options, please check [this tutorial](https://designinformaticslab.github.io/productdesign_tutorial/2016/11/20/ansys.html).

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