FEA3701 Assignment 02 Answers Year 2025

Finite Element Analysis

Assignment 2 Answers

Year 2025
08 AUGUST 2025
DUE DATE




0027 63 985 5033

,
, QUESTION 1

(a)




𝜃 (1) = 900 𝜃 (2) = 450 𝜃 (3) = 00

Data for the truss

Element 𝜽𝟎 𝑪 𝑺 𝑪𝟐 𝑺𝟐 𝑪𝑺

1 900 0 1 0 1 0
√2 √2 1 1 1
2 450 2 2 2 2 2

3 00 1 0 1 0 0



Global stiffness matrix for bar arbitrarily oriented in plane is given by:
𝐶2 𝐶𝑆 −𝐶 2 −𝐶𝑆
𝐴𝐸 𝐶𝑆 𝑆2 −𝐶𝑆 −𝑆 2 ]
[𝐾] = [
𝐿 −𝐶 2 −𝐶𝑆 𝐶2 𝐶𝑆
−𝐶𝑆 −𝑆 2 𝐶𝑆 𝑆2


For element 1
𝑢1 𝑣1 𝑢2 𝑣2
0 0 0 0
(8 −4 )(70 6)
× 10 × 10
[𝑘 (1) ] = [0 1 0 −1]
3 0 0 0 0
0 −1 0 1