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Reg No.: Name:
APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY

Seventh semester B.Tech examinations (S), September 2020

Course Code: ൧0405
Course Name: FINITE ELEMENT METHODS
Max. Marks: 100 Duration: 3 Hours
PARTA
Answer any three full questions, each carries 10 marks. Marks

1 2) Name any four FEA softwares. (2)

b) State the three procedure of finite element method. (2)

€) What 15 meant by discretization and numbering of nodes? (3)

d) Write the examples of structural and non-structural problems. (3)
2 ഒ) List the general steps of the finite element method. (5)

b) List the advantages and disadvantages of finite element methods. (3)

c) Give any two examples of finite element modelling. (2)
3 ஐ List and describe the types of boundary conditions with examples. (5)

b) Derive the element stiffness matrix for spring element. (5)
4 Derive the element stiffness matrix for bar element by using potential energy (10)

approach.
PART छ
Answer any three full questions, each carries 10 marks.

5 Derive the shape function for 8-node rectangular Serendipity Elements. (10)
6 Derive the shape function for 4 noded isoparamertric element. (10)

7 a) Write down the expression for the stress-strain relationship matrix fora CST (2)
element.
0) Derive the stress-strain relationship matrix for plane stress and plane strain (8)
condition by using above expression.
8 For the axisymmetric elements shown in figure. Determine the [D] and [B] (10)
matrix. Let E = 2.1x10° N/mm? and v=0.25. The co-ordinates shown in figure

are in millimetres.

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