ENGINEERING Analysis 5
(MAJOR COURSEWORK)
Author: Ummar Khalid
Matric No: 200405977
Module: Engineering Analysis 5
Programme: BEME5
Lecturer: Dr. David Gordan
The structure shown below is pinned at B and D and Fully fixed at E and G. the members have the relative flexural rigidity shown where EI = 10MNm2. Using the Displacement (stiffness) method of Matrix Analysis and consideration flexural deformation only, Determine, making use of the Datasheet.
i) the stiffness matrix for the structure:
ii) the loading vector representing the applied loading;
iii) the rotation at C and F and the translation at A;
iv) the reaction at B,D,E and G.
v) the Bending Moment Diagram for the structure.
vi) Conduct a Finite Element Analysis using ANSYS to compare your answer.
[pic]
i) Determine the stiffness matrix for the structure
[pic] and all other [pic]
[pic]
[pic]
k11 = [pic][pic]+[pic]+[pic]
k11 = [pic][pic]+[pic]+[pic]
k11 = [pic]+[pic]+[pic]+[pic]
k11 = [pic]
k21 = [pic]
k21 = [pic]
k21 = [pic]
k21 = [pic]
k21 = [pic]
k31 = [pic]
k31 = [pic]
k31 = [pic]
k31 = [pic]
k31 = 0
[pic] and all other [pic]
[pic]
K12 = [pic][pic]
K12 = [pic][pic]
K12 = [pic][pic]
K12 = [pic]
K12 = [pic]
k22 = [pic][pic][pic]
k22 = [pic][pic][pic]
k22 = [pic][pic][pic]
k22 = [pic]
k22 = [pic]
K32 = [pic]
K32 = [pic]
K32 = [pic]
K32 = [pic]
[pic] and all other [pic]
[pic]
K13 = [pic]
.
k23 = [pic]
k23 = [pic]
k23 = [pic]
k23 = [pic]
k33 = [pic]
k33 = [pic]
k33 = [pic]
k33 = [pic]
k33 = [pic]
[pic]
[pic]
[pic]
-----------------------
30kN
5kN/m
EI
EI
2EI
4EI
4EI
C
2m
2m
2m
4m
4m
2m
30kN
20kN
F
A
B
E
D
G
8m
C
F
A
E
D
C
F
A
E
D
G
C
F
A...