updated hw3 2024

Author: antantantant

_posts/teaching/mechdesign/2022-02-26-homework3.md

@@ -34,29 +34,28 @@ A ductile hot-rolled steel bar has a minimum yield strength in tension and compr
 Using the distortion-energy and maximum-shear-stress theories determine the factors of safety
 for the following principal stresses:
 
-* <img src="https://render.githubusercontent.com/render/math?math=\sigma_A = 100 MPa, \sigma_B = 100 MPa">
-* <img src="https://render.githubusercontent.com/render/math?math=\sigma_A = 100 MPa, \sigma_B = -100 MPa">
-* <img src="https://render.githubusercontent.com/render/math?math=\sigma_A = -50 MPa, \sigma_B = -100 MPa">
+* $\sigma_A = 100 MPa$, $\sigma_B = 100 MPa$
+* $\sigma_A = 100 MPa$, $\sigma_B = -100 MPa$
+* $\sigma_A = -50 MPa$, $\sigma_B = -100 MPa$
 
 ### Problem 2 (10 Points)
 
 A ductile material has the properties 
-<img src="https://render.githubusercontent.com/render/math?math=S_{yt}=60ksi, S_{yc}=75ksi">
-Using the ductile Coulomb-Mohr theory, determine the factor of safety for the states of stress given below:
+$S_{yt}=60ksi$, $S_{yc}=75ksi$ Using the ductile Coulomb-Mohr theory, 
+determine the factor of safety for the states of stress given below:
 
-* <img src="https://render.githubusercontent.com/render/math?math=\sigma_x = 25 kpsi, \sigma_y = 15 kpsi">
-* <img src="https://render.githubusercontent.com/render/math?math=\sigma_x = -12 kpsi, \sigma_y = 15 kpsi, \tau_{xy} = -9 kpsi">
+* $\sigma_x = 25 kpsi$, $\sigma_y = 15 kpsi$
+* $\sigma_x = -12 kpsi$, $\sigma_y = 15 kpsi$, $\tau_{xy} = -9 kpsi$
 
 ### Problem 3 (10 Points)
 
-A brittle material has the properties 
-<img src="https://render.githubusercontent.com/render/math?math=S_{ut} = 30 kpsi, S_{uc} = 90 kpsi">. 
+A brittle material has the properties $S_{ut} = 30 kpsi$, $S_{uc} = 90 kpsi$. 
 Using the brittle Coulomb-Mohr and modified-Mohr theories, 
 determine the factor of safety for the following states of
 plane stress.
 
-* <img src="https://render.githubusercontent.com/render/math?math=\sigma_x = -15 kpsi, \sigma_y = 10 kpsi, \tau_{xy} = -15 kpsi">
-* <img src="https://render.githubusercontent.com/render/math?math=\sigma_x = 15 kpsi, \sigma_y = -15 kpsi">
+* $\sigma_x = -15 kpsi$, $\sigma_y = 10 kpsi$, $\tau_{xy} = -15 kpsi$
+* $\sigma_x = 15 kpsi$, $\sigma_y = -15 kpsi$
 
 
 ### Problem 4 (20 Points)
@@ -79,23 +78,21 @@ minimum shaft diameter to avoid yielding.
 Prepare the following materials for your team presentation.
 
 1. (15 Points) A presentation that covers key concepts for others to understand the workflow of your analysis and design code.
-    * For **Shaft** teams: The presentation should cover (1) a summary of fatigue analysis with sample problems, 
-    (2) an overview of the shaft design process, i.e., the determination of shaft dimensions based on its connected 
+    * For **Shaft** teams: The presentation should cover 
+    (1) an overview of the shaft design process, i.e., the determination of shaft dimensions based on its connected 
     components and design requirements (e.g., safety factors for fatigue, yielding, and deflection failure modes), 
-    (3) a summary of critical points on a shaft, and (4) an introduction to your code with a sample use case.
+    (2) a summary of critical points on a shaft, and (3) an introduction to your code with a sample use case.
 
-    * For **Gear** teams: The presentation should cover 
+    * For **Gear** and **Key/Bearing** teams: The presentation should cover 
     (1) an introduction to spur gear (nomenclature, key parameters and their relationships, geometric constraints, force analysis),
     (2) an overview of the gear design process, i.e., the determination of gear ratio, geometric parameters, and gear materials based on 
-    design requirements (e.g., safety factors for wear and yielding failure modes), and (3) an introduction to your code with a sample use case.
+    design requirements (e.g., safety factors for wear and yielding failure modes), 
+    (3) an introduction to your code with a sample use case,
+    (4) an introduction to key and bearing (nomenclature, parameters, and existing catalog), 
+    (5) an overview of the key and the bearing design process, and 
+    (6) an introduction to your code with sample use cases.
 
-    * For **Key/Bearing** teams: The presentation should cover 
-    (1) an introduction to key and bearing (nomenclature, parameters, and existing catalog), 
-    (2) an overview of the key and the bearing design process, and 
-    (3) an introduction to your code with sample use cases.
-    
-2. (15 Points) A repo on GitHub that contains the following:
+2. (15 Points) A repo on GitHub (or other opensource platforms) that contains the following:
     * A main code that executes the component-wise analysis and design functions.
     * A readme file that explains the expected inputs and outputs of the code.
-    * Note that the code can be written in any language of your choice. 
-    Please convert it to Matlab and Python using chatGPT and upload these versions for the convenience of other users.   
+    * The code can be written in any language of your choice.