Basic Beam Element Review -...

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Basic Beam Element Review

Transcript of Basic Beam Element Review -...

Page 1: Basic Beam Element Review - tamuk.eduusers.tamuk.edu/kfldp00/MEIE_Peel_website/Courses/MEEN5314/meen...To get the element Stiffness Matrix Ke one can use MathCad, MatLab, Maple or

Basic Beam Element Review

Page 2: Basic Beam Element Review - tamuk.eduusers.tamuk.edu/kfldp00/MEIE_Peel_website/Courses/MEEN5314/meen...To get the element Stiffness Matrix Ke one can use MathCad, MatLab, Maple or

Loads and Boundary Conditions

Page 3: Basic Beam Element Review - tamuk.eduusers.tamuk.edu/kfldp00/MEIE_Peel_website/Courses/MEEN5314/meen...To get the element Stiffness Matrix Ke one can use MathCad, MatLab, Maple or
Page 4: Basic Beam Element Review - tamuk.eduusers.tamuk.edu/kfldp00/MEIE_Peel_website/Courses/MEEN5314/meen...To get the element Stiffness Matrix Ke one can use MathCad, MatLab, Maple or

2-D Horizontal Frame (rod and beam elements added)

Page 5: Basic Beam Element Review - tamuk.eduusers.tamuk.edu/kfldp00/MEIE_Peel_website/Courses/MEEN5314/meen...To get the element Stiffness Matrix Ke one can use MathCad, MatLab, Maple or
Page 6: Basic Beam Element Review - tamuk.eduusers.tamuk.edu/kfldp00/MEIE_Peel_website/Courses/MEEN5314/meen...To get the element Stiffness Matrix Ke one can use MathCad, MatLab, Maple or

2-D Horizontal Beam Example:

Page 7: Basic Beam Element Review - tamuk.eduusers.tamuk.edu/kfldp00/MEIE_Peel_website/Courses/MEEN5314/meen...To get the element Stiffness Matrix Ke one can use MathCad, MatLab, Maple or
Page 8: Basic Beam Element Review - tamuk.eduusers.tamuk.edu/kfldp00/MEIE_Peel_website/Courses/MEEN5314/meen...To get the element Stiffness Matrix Ke one can use MathCad, MatLab, Maple or

What about truss/frame elements that are not horizontal, then we rotate the stiffness matrix.

Page 9: Basic Beam Element Review - tamuk.eduusers.tamuk.edu/kfldp00/MEIE_Peel_website/Courses/MEEN5314/meen...To get the element Stiffness Matrix Ke one can use MathCad, MatLab, Maple or

To get the element Stiffness Matrix Ke one can use MathCad, MatLab, Maple or do it by hand.

Page 10: Basic Beam Element Review - tamuk.eduusers.tamuk.edu/kfldp00/MEIE_Peel_website/Courses/MEEN5314/meen...To get the element Stiffness Matrix Ke one can use MathCad, MatLab, Maple or
Page 11: Basic Beam Element Review - tamuk.eduusers.tamuk.edu/kfldp00/MEIE_Peel_website/Courses/MEEN5314/meen...To get the element Stiffness Matrix Ke one can use MathCad, MatLab, Maple or

When we join the elements of a frame, it is like adding axial or rotational stiffness. Let’s go over some examples…8.9a, 8.10, use Frame2d

Page 12: Basic Beam Element Review - tamuk.eduusers.tamuk.edu/kfldp00/MEIE_Peel_website/Courses/MEEN5314/meen...To get the element Stiffness Matrix Ke one can use MathCad, MatLab, Maple or
Page 13: Basic Beam Element Review - tamuk.eduusers.tamuk.edu/kfldp00/MEIE_Peel_website/Courses/MEEN5314/meen...To get the element Stiffness Matrix Ke one can use MathCad, MatLab, Maple or