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A computational method called finite element analysis (FEA) predicts how an object will react to physical forces, vibrations, heat, fluid flow, and other influences. Finite element analysis determines whether a product will break, work as intended, or both. When writing finite element analysis homework, most students encounter several problems that make completing homework quite tedious. As a result, students search online, "Can someone do my finite element analysis homework?" TutorBin offers the best help with finite element analysis homework as a consequence.

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Types Of Engineering Analysis In FEA!

Structural analysis: There are both linear and nonlinear models in it. The linear models presume that the material is not deformed and employ basic parameters. The nonlinear models put the material under stress beyond its elastic limits. The amount of stress directly relates to the quantity of deformation produced.

The vibration analysis finds application in evaluating materials for resistance to vibration, shock, and impact. These occurrences also affect the material's vibration frequency, which results in resonance and subsequent breakdown.

Fatigue analysis: It investigates different impacts of cyclic loadings on the structure or material, and the study forecasts how long the material will last. The failure brought on by fatigue demonstrates the material's resistance to damage. The study displays the likely locations for fracture propagation.

Heat transfer analysis: A study analyses the conductivity or the thermal fluid dynamics of the structure or material, consisting of steady-state or transient transfer.

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Q1:49325 CAMD: Computer-Aided Mechanical Design Project (2024 AUT Semester) Group: Students are encouraged to build their own groups normally up to 5, but it depends. You may also complete a project individually. Each group should have only ONE group leader responsible for organizing group meetings and the final submission of the project, and the marks will be automatically populated to all the group members upon the completion of the marking process. We do encourage each group member to take initiative and actively contribute to the Project. Then, all the group members will normally have equal marks, unless there is any specific situation to be noted by the group leader. Due date: Project Report is due by Submit your final group project report (including names and student IDs of all the group members in the "Subject" title of your report), via UTS Canvas submission system. Note: Submit your final group project report by the due date. Any late submissions may be accepted with the consideration of a reasonable penalty. Topic: FE Analysis and/or Design Optimization of Mechanical Structural systems Generally, any engineering applications, or numerical examples provided that the FEM and/or Design Optimization (structural size, shape and/or topology optimization) techniques are involved are acceptable. Hence you may freely choose and devise your own design problem for your group project, related to this topic in a general sense (e.g. numerical examples or practice-based engineering design problems). You can freely select any software you are good at, such as ANSYS, Solidworks, PTC Creo, CATIA and Matlab. Note that the problem you choose should be basically able to reflect the knowledge and skills you have gained from the practices of our assignments, lecture notes and lab tutorials of this Subject. Requirements: You may apply Finite Element Method and/or Optimization techniques to any structural mechanical components as a numerical or a practice-based design problem of your own choice, with appropriate geometric dimensions, loads and constraints, as well as simulation and optimization parameters. This Project should take a typical group up to 35 hours to complete. It is noted that this project can either be completed using Matlab to develop your own codes, or any commercial software tools like ANSYS, Solidworks, Catia or PTS Creo for any real-world engineering problems. Upon the completion, submit one final project report per group, which contributes 30 marks. The report must contain a statement detailing the contributions of all individual group members, signed by all members of the group. Each group should have a group leader for the submission of your final report, and the group leader will confirm the contribution of each group member. Basically, your report should include (but not limited to) the following aspects: (1) Problem description and statement (2) Finite element procedures and analysis details, including CAD model (3) Design optimization (design variables; objective function; constraints), and details (4) Matlab codes with detailed explanations, if you use Matlab (5) Results and discussions, as well as conclusions Note: We would carefully investigate the overall quality of the project, and the final marks depend on the nature and complexity of your mechanical analysis and design problem.See Answer
Q2:Homework #3-8 Perform stress analysis of the 3D CAD model of a pipe structure subjected to constant internal pressure of 3.50 MPa using ABAQUS and find the maximum stress value and corresponding position <Example 11 3D CAD model of a pipe structure > • Young's Modulus: 69 GPa Poisson's Ration: 0.33 fixed(pinned) plane of symmetrySee Answer
Q3:Homework #3-7 Find maximum displacements by using ABAQUS beam or shell elements and compare the results with those from solid elements F-100 N L-200 mm W-20 mm H-5 mm Figure 1 Cantilever beam. Table 1 Material Properties Young's Modulus Poisson's Ratio 200 GPa 0.3 Density 7850 kg/m³ NLGEOM NO No. of Element Elements Туре Maximum Displacement (L X W X H) S4R 4 X 2 X 1 B31 1 X 1 X 1 S4R 8X2X1 B31 4X1 X1 S4 4 X 2 X 1 B33 1 X 1 X 1 S4 8 X 2 X 1 B33 4 X 1 X 1 S8R 4 X 1 X 1See Answer
Q4:Homework #3-6 Find maximum displacements by using ABAQUS solid elements <Example 10 Analysis of Cantilever Beam using Solid Element> F-100 N W-20 mm H-5 mm L-200 mm Figure 1 Cantilever beam. Table 1 Material Properties Young's Modulus 200 GPa Poisson's Ratio 0.3 Density 7850 kg/m³ NLGEOM NO No. of Element Elements Туре Maximum Displacement C3D8 8X2 X2 (L X W X H) C3D8 16 X 4 X 2 C3D8R 8 X 2 X 1 C3D81 8 X 2 X 1 C3D8R 8 X 2 X 2 C3D81 8 X 2 X 2 C3D8R 16 X 4 X 2 C3D81 16 X 4 X 2 C3D8 8 X 2 X 1 C3D20R 4X1X1See Answer
Q5:Homework #3-4 Find the maximum displacement at the center of the simply supported plate by using ABAQUS shell elements 20 in. 0.1 in.- 100 lb 7. 20 in. E=30×10° psi v=0.3See Answer
Q6:Homework #3-3 Find maximum displacements by using ABAQUS shell elements <Example 9 Analysis of Cantilever Beam using Shell Element> F-100 N W-20 mm H-5 mm L-200 mm Figure 1 Cantilever beam. Table 1 Material Properties Young's Modulus 200 GPa Poisson's Ratio Density NLGEOM 0.3 7850 kg/m³ NO No. of Elements Element Type (L X W X H) Maximum Displacement S4R 8 X 2 X 1 S4 8 X 2 X 1 S8R 4 X 1 X 1See Answer
Q7:Problems 3 (20 points): For the plane truss structures shown in Figure give (a) the transformed element matrices, (b) the assembled element matrices, and (c) the condensed matrix equations for the unknown displacements and forces. (d) clearly list all boundary conditions (d) solution for nodal displacement and reaction forces A=A, 20x10 mm² 6.928 m- A, 15x10 mm 30 A₁ =18x10 mm² 10.928 m For all members: E-200 GPa, 40 P=500 kN 45See Answer
Q8:Problem 2a (10 points) The figure below shows a finite-element mesh. In the figure, all numbers within circles denote element numbers and all numbers without circles around them denote global node numbers. Assume that each node has two degrees of freedom. Elements 1 and 5 are plane elements, while the remaining elements are truss elements. determine the size of each element matrix and global assembly matrix determine the half bandwidth of the assembly matrix rearrange the node numbers to minimize half bandwidth determine the new half bandwidth Problem 2b (10 points) The figure below shows a truss structure with two degrees of freedom per node a) Determine the assembly stiffness matrix size b) Show which of the cells in the stiffness matrix will be zero and which will be non-zero (show entire matrix) c) Determine the half bandwidth of the matrix d) Rearrange the node numbers so that the half bandwidth is minimum. Determine the the half bandwidthSee Answer
Q9:Problem 1 (20 points) The structure shown in the figure has length 3Z and a square cross- section with side a. The structure is made of a material with a modulus of elasticity E. The structure is simply supported at its ends. Using an appropriate finite-element formulation, show how you will determine the deflection and slope at the left end and at a distance of I from the left end. a. Write down the condensed equations. b. Show all boundary conditions. c. Solve for nodal unknowns (in terms of E, a and L) d. Assume that there is a spring of stiffness k is attached at the middle of the structure, as shown in the second image. How will your analysis and results change? Discuss and show the nodal unknowns F LSee Answer
Q10:Z1 (1) DII Z2, d₂ (2) Water is kept in an open air storage tank at 20°C and discharged into the atmosphere through a long, straight section of circular pipe (192mm diameter). A minimum discharge flow rate of 50L/s is required. At this flow rate, you estimate the system head loss to be 4.2m. What is the minimum elevation difference (m) between (1) and (2) that will deliver the required flow rate? Where necessary, make typical engineering assumptions for this type of problem. Assume a kinetic energy correction factor of 1.05 in the pipe. Give your answer to 2 decimal places.See Answer
Q11:Exercise No. 2 (Weighting 35%) - Due 22/3/24 Seismic EC8 and Time History Analysis of a Building An existing 5 storey Reinforced Concrete framed building has been designed as follows: In the 'North-South' direction, stability is achieved through shear walling and bracing. In the 'East-West' direction, stability is achieved through rigid jointed monolithic moment frame action (Vierendeel). These 'moment' frames are shown in elevation in the East-West direction in Figure 2. The following structural properties apply: (i) (ii) (iii) (iv) (v) (vi) (vii) RC sections are used for the columns throughout the entire frame and in a strong axis configuration. Each student has a designated column section dimensions, Breadth 'T' mm and Depth 'L' mm. On the first, second, third and fourth floors, 'H' mm deep x 300mm wide RC beams are used (figure 3), whilst on the roof 350mm deep x 200mm wide beams are used. All concrete slabs have a depth of 175 mm. An additional characteristic dead load of 1 kN/m² is applied in addition to self-weight. The slabs can be assumed to span one way in the 'North- South' direction and act compositely with the beam section in the 'East-West' direction. For the purposes of calculating the section properties the beams can be assumed to mobilize 1m flange width to act as a Tee section (see figure 3) In addition, variable actions of 3 KN/m² acts on the floors and 1.25 KN/m² acts on the roof. The concrete strength is assumed to be C50. The spacing between adjacent frames is D m. The building is founded on a Soil Class given in the parameter list. The damping is assumed to be 5% and the design peak ground acceleration is also provided in the parameter list. A type 1 EC8 Spectra will be assumed./nFE Analysis with Seismic Engineering. B.Eng Civil Engineering A (m) H (mm) A (m) A (m) Figure 2-Frame in the 'East-West' Direction 1 (m) I * 200 (mm) roof or 300 (mm) floors Figure 3-Beam section dimensions * * 175 (mm) C (m) C (m) C (m) B (m) B (m) A seismic analysis procedure will be carried out on the frame in 2D. You are required to do the following: Produce a suitable structural model (East-West) of the building in 2D using both ANSYS and Linpro. This must be validated and verified through static (gravity only) analyses first (checking mass, reactions etc.). Use full section properties for the concrete assuming it is uncracked (model 1). Note that the load is characteristic, i.e. load factors of 1. Using a suitable representation as a SDOF sway frame, calculate the five natural sway frequencies of the frame. I will provide you with an SMATH sheet to do this (no formula exists in Blevins for this particular arrangement - do not calculate this from first principles, use the Smath sheet!)./nDimensions A (m) 5.5 B (m) 3.25 C (m) 2.5 D (m) LO 5/nColumn & Beam T (mm) 350 L (mm) 450 H (mm) 500/nSoil Туре A Ag (g) 0.2See Answer
Q12:2D Truss Element Exercise E-70 GPa A = 200 mm -500 mm for both members 300 mm 12 kN 400 mm a. For element #1 of the model shown below, calculate the value of the direction cosine, L. b. For element #1 of the model shown below, calculate the value of the direction cosine, m. c. Using the values of and m, calculate and upload the stiffness matrix of element #1. d. For element #2 of the model shown below, calculate the value of the direction cosine, L. e. For element #2 of the model shown below, calculate the value of the direction cosine, m. f. Using the values of & and m, calculate and upload the stiffness matrix of element #2. g. Using the stiffness matrix of the individual elements, assemble the global stiffness matrix for the structure. h. Determine the global force vector for the structure shown above. 1. Using the elimination method, determine the reduced stiffness matrix (should be 2x2) and the reduced force vector (should 2x1). j. Solve the reduced system of equations to determine the horizontal displacement of node 1. k. Solve the reduced system of equations to determine the vertical displacement of node 1. 1. Let's use the penalty method for BCs. Calculate the value of the constant C for the method (max(abs[K])*10^4) m. Apply the value of C at the corresponding locations of the global stiffness matrix and use the global force vector to find the horizontal displacements of node #1 n. Apply the value of C at the corresponding locations of the global stiffness matrix and use the global force vector to find the vertical displacements of node #1See Answer
Q13:Very Urgent- Shown below is an assembly of an accelerator with labelled components. The assembly consists of: foot pedal (i), hydraulic lever arm (ii), base plate (iii), nut & bolt (iv). The base plate is firmly fixed to the floor of the vehicle. The pedal is connected to the base plate via a bolt which allows the pedal to rotate freely about the x-axis. The pedal is also connected to the hydraulic reservoir via a pivot. The pivot fixes translational degrees-of-freedom, but allows the pedal to freely rotate in all directions (pivot bolt is not shown). The pedal has a constant thickness of 5mm, while the overall length of the pedal is 250mm. The hole diameters in the foot pedal are 5 & 15mm for the small and large holes. The base plate can be considered thick compared to the foot pedal. Part (iv), the nut and bolt, can be considered overdesigned and therefore a detailed stress analysis of it is not required. Part (ii), the hydraulic lever arm, can only deform axially. Stress analysis is required of the pedal component for normal foot operation when the pedal cannot be compressed any further. The direction of the pedal force is indicated on the diagram. Pedal Go (iv) Nin & bolt (1) Feet pedal c) Ilyic levera til Base place N Toxing belt boles Explain how you would set up a finite element model to efficiently analyse this structure. Describe and justify the element types you would use for the foot pedal, hydraulic lever arm and base plate (they can be different) and explain loads and boundary conditions. Explain how you would model the nut & bolt. Explain and justify your meshing strategy for each component referring to the underlying element formulation. Finite element models are commonly used to optimise geometric features within a structure. Explain the process you would use to efficiently optimise the thickness of the foot pedal based on the element you have chosen Note: Please you answer this and also with a method on how to answer this question. thanks Show image transcriptSee Answer
Q14:Consider the axial vibration of a bar (of length I, cross-section area A, Young's Modulus E and density p) that has a lumped mass m = apAl attached at its mid- span and is fixed at x = 0 and free at x = 1 as shown in Figure Q1. Note that a is an arbitrary constant. u(x,t) bar Figure Q1 (a) For the case where a = 8 using a two element FE model, calculate the first two natural frequencies and sketch the corresponding modeshapes. m (8 marks) (b) Calculate the natural frequency of the structure as a function of a using Rayleigh's method with the guessed modeshape modeshape = {2 for (7 marks) (c) The natural frequency estimate for the first mode given by the FE model and that predicted by Rayleigh's methods are close, comment on why this is and how you expect the similarity between the two predictions will vary with the value of a giving your reasoning. Based on these observations suggest how the system might be approximately modelled using a one mass, one spring structure when a is large. M=PAL 2 1 12], 12¹ (5 marks) The mass and stiffness matrices for an element of bar of length L subject to axial vibration are: 2 𐐀u T= T = √²/2PA (3) ²₂ K = 0<x< 1/ }<x<i EA L dx, V= 14 The kinetic and potential energies for the axial vibration of a standard uncon- strained bar may be written as 2 - [² / EA (S) ² de dxSee Answer
Q15:Question 1 Model the structure below in ABAQUS using linear and cubic beam elements. q = [D] N/m Material Aluminium E = 69 GPa v = 0.27 You must ensure your model has converged. A = 238 mm B = 13 mm C = 20 mm D = -44 N/m [A] mm Provide the maximum vertical displacement of the structure for your converged solution (to 6 d.p.). Add your answer [B] mm 10 Points [C] mmSee Answer
Q16:Problem 4: For the beam shown, use Matlab to calculate the deflection at the mid-span using four beam elements, making the shear area zero and then making the shear area equal 5/6 times the cross-sectional area (b times h). Then make the beam have decreasing spans of 200 mm, 100 mm, and 50 mm with zero shear area and then 5/6 times the cross-sectional area. Compare the answers. Based on your program answers, can you conclude whether your program includes the effects of transverse shear deformation?See Answer
Q17:Problem 3: For the beam with internal hinge, determine the deflection at the hinge. E = 29 x 10⁰ psi / = 200 in* Hinge- 2 m- P = 5 kN 2 m-See Answer
Q18:Problem 2: Determine the nodal displacements and slopes, the forces in each element, and the reactions. 1200 N/m -5m- E = 210 GPa /= 2 x 10 m²See Answer
Q19:Problem 1: For the bar subjected to the linear varying axial load shown in Figure, deter- mine the nodal displacements and axial stress distribution using (a)three equal-length elements and (b) five equal-length elements. Let A = 2 in.² and E = 30 x 106 psi. Compare the finite element solution with an exact solution. 60 in. T₁= 10x lb/in.See Answer
Q20:5. Practice Exercises 5.1. FSM Design and implement the following finite state machine with the rising edge of the clock with a 1-bit input that the next state depends on. The FSM does not have a reset button, and only when at state S3 and the input has the value of zero, your system will go back to S0. 0 5.2. 32-bit Adder start 1 S2 0 1 Figure 3. FSM diagram for task 5.1 1. Complete VHDL code. 2. Flow Summary and Successful Compilation. 3. RTL Viewer, 4. Power Consumption. 5. Maximum Frequency Analysis. 6. ModelSim simulation for the designs (except 32-bit Adder). S1 S4 Design and implement a 32-bit adder using Generate of smaller size bit adders. Analyze and evaluate your design. 6. Deliverables Practical demonstration of the sample exercises will be requested during the lab and instructor may ask for their code to be submitted on Moodle. Complete work of the practice exercises must be submitted on Moodle by the specified deadline. Provide the following for all designs:See Answer

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