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Question(3): How do we form the global stiffness matrix based on element-wise stiffness matrices? | Question(3): How do we form the global stiffness matrix based on element-wise stiffness matrices? | ||
− | == Task#04 ( | + | == Task#04 (2D_Pipe stress_strain analysis using Ansys 2021R2): == |
Revision as of 10:11, 1 October 2024
Hello! Welcome to my Wiki page.
I am Tanveer khan from Pakistan, studying at the Faculty of Engineering Universitas Indonesia(FTUI). My major is Mechanical engineering and my specialty is manufacturing and automation systems. I've enrolled in a Finite Element and Multiphysics course to gain a deeper understanding of the fundamental principles and applications of FEM, as well as to explore various types of simulations.
Contents
Task#01 (DAI5 Framework):
Hello, I am Tanveer Khan presenting the DAI5 Framework, an innovative approach developed by Dr. Ahmed Indra (DAI). This method, DAI5, focuses on intentions, initial thinking, idealizations, and instruction sets for effective problem-solving. I discuss the unique aspects of DAI5 and how it differs from traditional approaches, emphasizing the importance of clarity and specificity in instructions. Viewers are encouraged to understand the significance of setting clear objectives and simplifying complex problems.
Task#02 (Pipe stress analysis using Ansys 2021R2):
I used the following specifications for the stress analysis of the pipe using the Ansys 2021R2;
Material:
1)Structural steel.
Geometric dimensions:
1) Length: 200mm.
2) Outer Diameter: 50mm.
3) Inner Diameter: 45mm.
4) Thickness: 2.5mm.
Boundary conditions:
1) Fixed right end.
2) Applied load to the left end (Load= 50N).
<<<Total deformation:>>>
The image shows a structural analysis result from ANSYS software. The analysis focused on the total deformation of a pipe under 50 N load. The color gradient ranges from red (maximum deformation) to blue (minimum deformation). Red represents the area with the highest deformation, around 0.00013372 mm. Blue indicates the region with little or no deformation. Based on the image, the highest deformation occurs at the left end of the pipe, which is colored red, while the least deformation occurs at the opposite end, in blue which is 0 mm.
<<<Strain:>>>
The image shows strain analysis results from an Ansys simulation, specifically for a pipe, analyzed using static structural analysis. The result shows the elastic strain distribution in a pipe under 50N load. The maximum strain occurs near the right end of the pipe, possibly due to concentrated stresses, while the rest of the pipe experiences a more uniform, lower strain. The color scale on the left ranges from blue (minimum strain value 3.7099×10^−7) to red (maximum strain value 7.573×10^−7).
Blue/Cyan/Green: These colors represent regions experiencing low to moderate elastic strain.
Yellow/Orange/Red: These regions experience higher elastic strain, with red indicating the maximum strain values.
The highest elastic strain (indicated by red and orange) is located toward the right end of the pipe. This suggests that this portion is undergoing the most deformation under the applied load. On the other hand, the lowest strain (blue) is spread along the middle to the left side of the pipe. This indicates that these areas are relatively less affected by the applied loads, experiencing lower deformation.
<<<Stress:>>>
The given image shows the result of a finite element analysis (FEA) of a pipe under static structural loading 50N, likely performed in Ansys 2021 R2. The analysis focuses on the Equivalent Stress, specifically the von Mises stress, which is used to predict the yielding of materials under complex loading conditions. The color bar on the left indicates the magnitude of von Mises stress in MPa (megapascals), ranging from 0.073522 MPa (blue) to 0.15051 MPa (red). The color distribution on the pipe shows the areas experiencing different stress levels. Red and yellow areas near the end of the pipe are experiencing the highest stress, while blue and green areas are under lower stress. The highest stress 0.15051 MPa occurs near the end of the pipe, where the colors transition from green to yellow and red. The rest of the pipe has lower stress values, predominantly in the orange-yellow range, indicating that most of the structure is experiencing moderate stress levels. Blue areas, especially on the opposite end, indicate the regions under minimal stress.
Basic questions:
Question(1): Is the force term internal or external in stress-force relation? >>(Sigma= F/A)?
Question(2): Does stress force direction dependent?
Question(3): How do we form the global stiffness matrix based on element-wise stiffness matrices?
Task#04 (2D_Pipe stress_strain analysis using Ansys 2021R2):
Specifications in (millimeter):
1) Lenght = 4000mm.
2) Wall thickness= 3.4036mm
3) Diameter= 152.4mm.
4) Outside radius= 76.2mm.
5) Inside radius= 72.7964mm.
Material:
Stainless steel.
Boundary conditions:
1) Simple supported on two ends.
2) Second-end applied Load= 4000N (UDL on 10mm patch in -y direction).
----2D-Stress:----
<<<Total deformation:>>>
The given image static structural analysis shows the total deformation of the structure, with a maximum displacement of 12.466 mm in the center (red) and a minimum of 0.003947 mm near the edges (blue). The color gradient from blue to red indicates how the deformation varies, with the highest strain occurring in the middle of the structure, suggesting significant bending or displacement under the applied load. The analysis highlights that the central section is most affected, while the edges experience minimal deformation, reflecting the load distribution across the structure.
<<<Equivalent Stress:>>>
The image shows the results of an equivalent (von Mises) stress analysis for the structure, with the stresses measured in megapascals (MPa). The maximum stress occurs at 300.52 MPa (red), and the minimum stress is 1.0292 MPa (blue). The stress distribution across the structure is represented by a color scale from blue (low stress) to red (high stress), indicating that the areas near the middle of the structure experience the highest stress, particularly in the region with yellow, orange, and red colors. The outer edges, shown in blue, experience the least stress. This type of analysis helps in identifying the most critical areas in the structure that are likely to fail under load. High-stress areas, such as the center, may require design or material changes to avoid failure.
<<<Nomral Stress:>>>
The image presents the results of a normal stress analysis along the X-axis, with stress measured in megapascals (MPa). The maximum normal stress is 152.81 MPa (red), and the minimum is -246.11 MPa (blue). The color gradient, ranging from blue to red, indicates regions of compressive (negative) and tensile (positive) stress, with compressive stress shown in shades of blue and tensile stress in shades of yellow to red. The central area of the structure experiences the most compressive stress (deep blue), while the outer edges near the middle are under the highest tensile stress (red). This distribution suggests that the structure is bending, with tensile stress on the convex side and compressive stress on the concave side, typical for a beam under bending loads.
----2D_Strain:----
<<<Equivalent Elastic Strain:>>>
The image shows the results of an equivalent elastic strain analysis, measured in units of strain (mm/mm). The maximum strain occurs at 0.0067731 (red), while the minimum strain is 3.1269e-5 (blue). The strain distribution follows a similar pattern to the previous analyses, with the highest strain concentrated in the middle portion of the structure (indicated by red and yellow), suggesting this area experiences the most deformation under load. The edges show significantly lower strain (blue areas), indicating less elastic deformation. The color gradient from blue to red shows how strain is distributed across the structure, with the highest strain concentrated in regions of maximum bending. This analysis helps to assess how much the material stretches or compresses elastically, ensuring that the structure remains within its elastic limit to avoid permanent deformation.
<<<Normal Elastic Strain:>>>
This image displays the results of a normal elastic strain analysis along the X-axis, measured in mm/mm. The maximum normal strain is 0.0025374 (red), and the minimum is -0.0053577 (blue). The distribution of strain is indicated by a color scale, where red to yellow represents tensile strain, and blue to green represents compressive strain. The central region of the structure, particularly in the lower section, shows the highest tensile strain (red and yellow), while the top of the structure exhibits significant compressive strain (blue). This distribution is consistent with the bending behavior of the structure, where tensile strain is concentrated on the convex side and compressive strain on the concave side. The strain values help evaluate the material's elastic behavior and how much deformation the structure undergoes under the applied loads.