UJIAN TENGAH SEMESTER
Matematika Teknik Terapan, Class A
Calculate the problem as given below, do on A4 Paper & milimetre block paper, submit on LMS & on my Desk
B301 not more than 29 April 2025, 15.00 WITA.
1.
2.
Matrix Operation
𝐴
𝐵
𝐶
𝐶
a. [2𝐴 𝐶 2𝐵] X [𝐷]
𝐶 3𝐴 3𝐵
𝐸
b.
𝐴
[2𝐴
𝐶
𝐵
𝐶
𝐶
𝐶 2𝐵] X [2𝐵
3𝐴 3𝐵
𝐶
c.
𝐶
Transpose of [2𝐵
𝐶
d.
𝐴
Inverse of [2𝐴
𝐶
𝐵
𝐶
3𝐴
e.
𝐶
𝐴
IF [𝐷 ] = [𝐶
𝐵
𝐸
𝐶
𝑢1
𝐴] X [𝑢2], find the value of u1, u2, & u3
𝐴
𝑢3
𝐵
𝐵
𝐶
𝐷
𝐴
3𝐸
𝐷
𝐴
3𝐸
𝐸
2𝐵]
3𝐶
𝐸
2𝐵]
3𝐶
𝐶
2𝐵]
3𝐵
The values given bellow is Global Coordinate in accordance to (X,Y,Z) Coordinate system.
Member A
Node (1) = (0,0,0)
Node (2) = (Q, R, S)
Member B
Node (2) = (Q, R, S)
Node (3) = (E, Q, S)
Your Task:
1. Draw the a geometrical structure using Grid Paper (milimeter block paper)
2. Provide Local Coordinate for each node for every member
3.
If the tension structure is a round steel with diameter of C mm, calculate the deformation of node 2
using structural matrix analysis