Assignment-W24

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McMaster University *

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ENGTECH 4F

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Apr 3, 2024

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ENG TECH 4FA3 Assignment – Winter 2024 – Due March 21, 2024 @ 11:59 pm Page 1 of 4 Please read the following instructions carefully: - Late submission will be penalized. (minus 10 points/day). - Individual work . Plagiarism in your solution will be treated as academic dishonesty. - Submit ONE report in pdf and FOUR .db files (ANSYS models) through the assignment dropbox. Total: 4 Questions (40 points) Question 1 (10 points) Use ANSYS to determine the shear force (SF) and bending moment (BM) diagrams of the following beam shown in figure 1. For this question: - Use a minimum of 30 elements for the total beam elements. - Use the values obtained in ANSYS, and plot the SF and BM diagrams (e.g., by using Excel). Your answer must also include: - Assumptions, element type used, material properties. - Diagram of the model showing load and boundary condition. - Reactions. - Table of element shear force and bending moment. - The shear force and moment diagrams (x-axis must be length of beam in m).
ENG TECH 4FA3 Assignment – Winter 2024 – Due March 21, 2024 @ 11:59 pm Page 2 of 4 Question 2 (10 points) Use ANSYS to solve the following: Three bars each made of different materials area connected together and aced between two walls when the temperature is T=24°C. Determine the reaction force and stresses in each bar when the temperature becomes 45°C. Steel Brass Copper Modulus of elasticity: 𝐸 = 200 GPa 𝐸 = 100 GPa 𝐸 = 120 GPa Coeff. of thermal expansion: 𝛼 = 12 × 10 −6 /℃ 𝛼 = 21 × 10 −6 /℃ 𝛼 = 17 × 10 −6 /℃ Area: ? = 240 ?? 2 ? = 540 ?? 2 ? = 620 ?? 2 Poisson’s ratio: 𝜈 = 0.3?? 𝜈 = 0.3?? 𝜈 = 0.3?? Your answer must also include: - Assumptions, element type used, material properties. - Diagram of the model showing boundary condition and element number. - Reactions. - Table of element axial stress. A , B , and C are the last three digits of your student number.
ENG TECH 4FA3 Assignment – Winter 2024 – Due March 21, 2024 @ 11:59 pm Page 3 of 4 Question 3 (10 points) Use ANSYS to solve the following: For the given truss problem, determine the most critical elements. Use structural tube made of steel, with: cross sectional area, ? = 12 𝑖? 2 . modulus of elasticity, 𝐸 = 29,000 ksi Poisson’s ratio, 𝜈 = 0.3?? where B and C are the last two digits of your student number. Your answer should include: - Assumptions, element type used, material properties. - Diagram of the model showing loading and boundary condition. - Reactions. - Table of element axial stresses. - Specify the critical element(s) and its value. 1.5 kip 3.0 kip 3.0 kip 3.0 kip 3.0 kip 3.0 kip 1.5 kip
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ENG TECH 4FA3 Assignment – Winter 2024 – Due March 21, 2024 @ 11:59 pm Page 4 of 4 Question 4 (10 points) Use ANSYS to solve the following: Determine the maximum von Mises stress for the given member with fillet subjected to tensile forces. Let E=200 GPa and ν=0.3. Your answer should include: - Assumptions, element type used, material properties. - Diagram of the model showing loading and boundary condition. - Contour plot of the deformed member.