FEA3701 Assignment 03 2025 (Accurate Solutions) Year 2025.

FEA3701
Assignment 03
Finite Element Analysis
Year 2025

, Question 1 [40]
For the plane strain element given in Figure 1, determine the following:

(a) Element stresses σx , σy , and τxy [25]

(b) Principal stress σ1 [5]

(c) Principal stress σ2 [5]

(d) Principal angle θp [5]

The nodal displacements are as follows:


u1 = 0.005 mm, v1 = 0.002 mm, u2 = 0 mm, v2 = 0 mm, u3 = 0.005 mm, v3 = 0 mm




Let E = 105 GP a, ν = 0.3, t = 1

All coordinates are given in millimeters.

i=1 m=3
(5, 15) (25, 15)




j = 5)
(15, 2

Figure 1



Solution

Step 1: Area of the element
 
1 5 15
1   1
A = det 1 15 5  = (200) = 100 mm2
 
2   2
1 25 15
—




1