question paper-2 -fea model exam.doc

8/16/2019 Question paper-2 -FEA Model Exam.doc

1/3

ALPHA COLLEGE OF ENGINEERING(A Christian Minority Institution

Approved by AICTE & affiliated to Anna University & ISO Certified)Thirumahisai! Chennai"#$$ %'

MODEL EXAMINATION

Reg.No:

Sub. Code ME 6603 Sub. Name inite Element AnalysisDea!"me#" Me*hani*al $ea!%Sem III + ,IDa"e o& E'am Se(()o# -

T)me . hours Ma')mum %$$ mar/s

PART *A +,0'--0 Ma!/(

A#(1e! a22 ue(")o#(

,. -ame the 0ei1hted residual methods-. 2hat is 3alei1h"3it method43. 2hy polynomials are 1enerally used as shape fun*tion4

4. 2rite the stiffness matri5 for the simple beam element5. 2hat is a hi1her order element4 2hy are they preferred46. 6ifferentiate CST and 7ST elements4. 2hat are the ' basi* elasti*ity e8uations47. 9ive ' appli*ations 0here a5isymmetri* elements *an be used8. 2hat do you meant by sub"parametri*! super parametri* and iso parametri* element4,0.2hat are serendipity elements4

PART *9 +5',6 70 Ma!/(

11(a) Consider the differential e8uation +d-%d'- ;400'-0 &o! 0,' +,*' ;>-'- +,*'.

?OR@

(b) A *antilever beam of len1th 7 is loaded 0ith a point load at the free end ind the ma5imum Slope! ma5imum defle*tion and ma5imum bendin1 moment usin1 3alei1h"3it method

usin1 fun*tion $A ,*>o(+ '%-LB 9iven> EI is *onstant

% (a) or the 1iven t0o bar truss element as sho0n in fi1 ind the follo0in1 (i) displa*ement atnode % (ii) stress in the element %". Ta/e E < ?$ 9@a! A < $$mm


2/3

?OR@

(b) 6etermine the natural fre8uen*ies and mode shapes of transverse vibration for a beam fi5ed at bothends The beam may be modeled by elements! ea*h of len1th 7 and *ross se*tional area AConsider lumped mass matri5 approa*h

%.(a) or the *onfi1uration sho0n in fi1 ! determine the defle*tion (displa*ements) atthe point of load appli*ation Use one element model Assume plane stress *ondition

?OR@

(b) (i) Compute the element matri*es and ve*tors for the element sho0n in fi1! 0hen the ed1e /":e5perien*es *onve*tion heat loss Ta/e / < #$ 2+*m /! B < $ 2+*m.

%' (a) 6erive the shape fun*tions! strain displa*ement matri5 D; for a5isymmetri* trian1ular

Element ?OR@(b) The nodal *o"ordinates for an a5isymmetri* trian1ular are 1iven belo0> r% < % mm!

% < % mm F r < mm ! < % mm F r. < . mm ! . < $ mm 6etermineD; & DG matri5 for that element Ta/e E < 5%$ -+mm! v < $

% (a) (i) Evaluate the Cartesian *oordinates of point @ 0hi*h has the lo*al *oordinates of

H


3/3

?OR@

(b) (i) Evaluate the inte1ral I < L L (5 N y N #5y) d5 dy 0ith limits "% to N% usin1 three point

9auss -umeri*al inte1ration +,0 Ma!/(

(ii) 6erive the shape fun*tions of isoparametri* re*tan1ular element +6 Ma!/(

question paper-2 -fea model exam.doc

Documents