Ranchi University 2010-1st Sem B.Tech Civil Engineering IV Supplementary s, FINITE ELEMENT METHODS IN - Question Paper

IV B.Tech I Semester Supplementary Examinations, March 2010
FINITE ELEMENT METHODS IN CIVIL ENGINEERING
(Civil Engineering)
Time: three hours Max Marks: 80
ans any 5 ques.
All ques. carry equal marks
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1. (a) What do you understand by Transformation of Co-ordinates and why it is
resorted to.
(b) discuss the discontinuity of displacement functions ranging from elements.
[8+8]
2. In a plane stress issue x = 50MPa, y = -25MPa, xy = 40MPa, E =
200GPa, µ = 0.33, then
(a) Determine strain component "z
(b) If the issue is a case of plane strain determine stress component z.
[16]
3. (a) obtain the displacements and stress distribution in the tapered bar shown in the
figure 3a using 2 elements under an axial load of 25 N. Take Cross part
Areas at A=450 mm2 and at B = 225 mm2, Young's modulus of the material
of the bar = 2.5 × 105 N/m2.
Figure 3a
(b) discuss the procedure of finding stiffness matrix for a beam element. [8+8]
4. calculate reactions, joint reactions and the horizontal displacement of joint A for
the frame shown in the figure 4. presume E = 2.5 × 105 N/ m2 I = 7.5 × 10-4 A
= 0.013 m2 for all members. [16]
1 of 2
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Code No: M0102/R05 Set No. 1
Figure 4
5. (a) find the linear relation ranging from Cartesian and natural quantity coordinates.
(b) What is geometric invariance? explain the geometric invariance with an ex-
ample. [8+8]
6. (a) Derive the transformation matrix to relate local to global displacement, forces
and stiffness matrices of a CST element.
(b) calculate the consistent load vector when self weight / unit quantity is acting
in a constant strain triangle element (  is acting in negative y direction).
[10+6]
7. (a) Write the stress-strain relation for an isotropic material in solving axisymmet-
ric issue.
(b) Derive the shape functions for a typical triangular element in solving axisym-
metric issue. [6+10]
8. define step by step procedure of Gaussian elimination method in solving finite
element formula. [16]
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2 o

Earning:   Approval pending.