No. of Pages: 3

AP] ABDUL KALAM TECHNOLOGICAL UNIVERSITY
SECOND SEMESTER M.TECH. DEGREE EXAMINATION, APRIL/MAY 201 8

Branch: Civil Engineering

Stream: Structural Engineering

OICE6104 Finite Element Method

Answer any two full questions from each part
Limit answers to the required points.

Max. Marks: 60 Duration: 3 hours

PARTA

1. ദ. The stress components at a point in a body are given by ax = 3xy 22 + 2x, = 5xyz + 3
x*y +۷ 2 2, = 0, Tyz = 3×۷ 22 2xy. Check whether these components of stress satisfy the
equations of equilibrium or not at the point (1, -1, 2). If not, determine the suitable body
force required at this point so that the stress components are under equilibrium. (3)

b. How far the finite element solution for a problem is satisfied Wilh regard to equilibrium
and compatibility? (4)

c. What does the term ‘displacement function’ represent in Finite Element
Method ? (2)

2. 9. State and derive the principle of minimum potential energy. (4)

b. Determine the displacement at the free end of a cantilever beam of span 5 m and
subjected to a UDL of 10 kN/m length using Rayleigh -Ritz method and compare the
solution with the exact solution. (5).

3. a. A continuous beam, ABCD, has the following details. A, 8 and © are simple supports
with AB 5 m, BC 4 mand CD 1.5 ന. Moment of inertia for span AB = Moment of inertia
for span BC = 21, Moment of inertia for CD = |. AB 15 loaded with a UDL of 5 kN/m, BC is
loaded with a concentrated load of 15 kN at 3 m from 8 and there is a concentrated load
of 4 kN at D. Analyse by direct stiffness method. Draw the shear force and bending
moment diagrams.

PART 8