Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
This assignment solution was submitted to Amar Sharma for Finite Element Method course at Aligarh Muslim University. It includes: Stiffness, Matrix, Planar, Frame, Element, Local, Coordinate, System, Young, Modulus
Typology: Exercises
1 / 3
This page cannot be seen from the preview
Don't miss anything!
The stiffness matrix of a planar frame element in the local coordinate system is given by
Where E is the Young's modulus, A is the area of cross section, I is the moment of inertia, and L is the length. Using this. generate the stiffness matrices of the three elements shown in Figure 6.7 in the local coordinate system and indicate the respective local degrees of freedom.
As each node has 3 degree of freedoms, therefore each local stiffness matrix is of order 6×6. And as there are 3 elements thus the global stiffness matrix is of order 12×12. The stiffness matrix of a planar frame element in the local coordinate system is given , using this we can get the local stiffness matrices for respective elements. Each node has 3 DOFs as u 1 , v 1 , 1.
For Element 1:
A=6 in^2 L=36 in E=30×10^6 psi I= 2 in^4
For Element 2:
A=6 in^2 L=60 in E=30×10^6 psi I= 2 in^4
