Give the mathematical expressi rigid jointed plane frames.
3. 4.
Write down the equation cj{elenlrfrttstiffness matrix as applied to 2D plane '"14' element.
5.
What is the basic idea of Eresh generation scheme?
6.
State the str_ess-s$!4 relationship
7.
Defin! plasnb. ,nodirusi and shape factor.
s. 8.
wlfuf &e rtrearii Wlfuf rnearii
9.
I r-'', '.' ..:;'
bload factor and
in
CarLesia.n co-ordinates.
collapse load?
Defiiq-lgnsio.gtoefficient For what b[)e of structures tension coefficient mfihoO ls gmployed ?
10. Wlat eie the
components of forces acting on the beams curved in plan and 3irow the sign conventions of these forces?
I
PARTB-(5x 16=80marks) 11.
{a)
Analyze the continuous beam ABC shown in Fig. Ql1 (a) by flexibility matrix method and sketch the bending moment diagram,..
zk*ls"-
lrN
/,t..-
e! " co^!bx? Fis. Q 11 {a)
O. (b)
AnaJtze the portal frame ABCD show! h Fig. e.il{b) by rlexibility matrli method and sketch the bendjng moment diagmm.
4't / I' S!
4ht
Fis. Q 11 (b)
12. {a)
t{te continuous beam ABC shown in Fig. et2la) by stiffness method and also draw Lhe shear force diagram.
Ana1.J.ze
{u
t*/.^-
ls.
EI
= aor{bnlFis. Q12 (a) Or
66144
I
(b)
Analyze the portal lrarne AEICD shown in Fig. Q12{b) by stilTness method and also draw the bending moment diagram.
e.T = Cat
tlqr,
Fis. q12 &)
...,
Draw the tlpical finite elementa. 6ii{ain}'ith a triangular element model for displacement torlnulatroo.
(b) 14. (a) ''
-
ot.
Wnte a note on cgnstaiii.strqin'l4diicle Explain in detail about the 4_nodded rectangular element tl' arrive the stiffness matrix of A simply supported \gam gl'spun s* i" t" t'e desisned fo! a UDL z5 kVm o"sign oitabit I sectlon using plastic theory' assuming ^ yield stress in steel as lv= 250 N/mm'' Or
bridge has a span 50 m with a 15 m wide mnway lt is load of 30 kN/m including self weight The bridge is a pair of cables having a centml dip of 4m Find the al area of the cable necessary if the maximum permilsible stress in the cable material is not to exceed 600 MPa'
1s. (a)t.q$u .a
.
Or
66t44
(b)
and A semi circula. beam of radius R'in pian is subjected to UDL the simply supported by three columns spaced equally Derive
point U"naing moment and torsional moment at x-be a base "*pr"""lo1rtot ofl th" b..- -"kirrg an angle a'vrith axis passing throlgh.the of the circle.
Page 1 of 2. Reg. 
