4th Semester M Tech: Structural Engineering (June-2016) Question Papers
1. I4CSE22USN
Fourth Semester M.Tech.
Eanthquake
Time: 3 hrs.
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What are the lessons
past earthquakes.
DrawtheD-V-
response spectrunt.
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A four storey RC (SMRF) hospital building as shown in Fig. Q3 is situated in zone -iV. The
dead load and live load is lurnped in respective floors. The soil betrow the foundation is
assumed to be hard rock. Determine the total base shear and distribute the base shear along
the height of building as per IS - I 893 - 2A02 codal provisions. (20 Marks)
Fig. Q3
For the RCC
and situated
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- V determine the seismic
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Note: l" Answer any FIVE full qwestiorus.
2. Ilse of IS tB93 - 2002 is pe'rmitted.
Explain the sources/causes for earthquakes and effects of earthquakes on structures.
What are the seismic waves'/ Explain with figure how do they propagate.
Degree Exarnination, June/Juty 2015
Resistant Structures
Max. Marks: i00
(10 Marks)
(10 Marks)
reference to seismic behavicur of structural damages during
(10 Manks)
spectrum and explain the construction procedure for the
(10 N'farks)
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SIS TESUITS O ng are.
Natural
period (sec)
Mode
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Mode
a,
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Mode
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Mode Shape
Roof 1.0 1 .00 1.00
2no Floor 0.79t 0.00 -0.791
['' Floor 0.250 - 1.00 0.2s0
$ 9z- K^,
Fig. Qa
I et6t k^r.
(20 Marks)
2. la.
b.
a. Explain the building ,configurations problems and solutions.
b. What are the significant efflects cf masonry infill walls under the
infrll masoru:y is generaily modeled?
a. Expiain the ductility and energy absorption in buildings.
b. Explain with neat sketch of design and detailing of shear wall.
Explain the linear and non/linear procedures of seismic analysis.
What is seismic evaluation and explain the different methods of retrofitting
Write short notes on :
a. Base isolation systems
b. Soft storey
c. Confinement of concrete ductility
d. Perforrnance based seismic analysis.
I4CSE,22
(10 Marks)
lateral loads and how the
(10 Marks)
(10 Marks)
(10 Marks)
(10 Marks)
of structures?
(10 Marks)
(20 Marks)
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2 of 2
3. USN
Fourth Semester
Optimization of
Time: 3 hrs.
Define stationery
Showthat u-xy
and state the related theorems.
least value of 3a2.
14CSE 422
M.Tech. Degree Examination, June/July 2016
$tructures (Opti mizatisn Techniques)
Max. Marks:100
(05 Marks)
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Note: Answer any FII/E.full questions.
a. List any five engineering applications in optimization.
b. Explain the following variables
i) Material design variables
ii) Topological
iii) Configurational
iv) Cross sectional design variables.
c. Explain:
i) Design constraints and
ii) Behavioural constraints.
point with sketches
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[x v]
(10 N{arks)
(05 Marks)
(05 Marks)
(15 Marks)
(10 Marks)
(10 Marks)
The temperature T at a point iir x, y and z in a space given by T :400xyr'. FinC the highest
temperature on the surface. The unit volurne of the sphere is given by x'+y'+ z2 -1.A.
Use Lagrangian multiplier technique. (20 Nlarks)
Check whether the function is concave or convex
f(*) - 5xi +4x. +2x; -+*rX: -4x,x., +4x:X, - l2x, -8x r.-4*..
Solve graphically given by
Maximize Z - 500x, + 200x,
Subjected to
9x,+6x,>540
x, >30
x, < 50
x, > 30
x, < B0
and xrnxr 20
Using simplex method, solve
Maximize Z - 5x, +3x . +2x.
Subject to
2x,+6*.- xr (4
-X,*5^r-3*,(1
5x, + x. -6x, < 3
xl, x2,X1. )0 (20 Marks)
4. 14CSE 422
a. Differentiate Fibonacci and Golden section method. (05 Marks)
b. Solve by Fibonacci nrethod
Max f(x) - -3x2 + 21.6x + I
With minimu.m resolution of 0.5 over 6 functional evaluations. The optimal value of (x) is
assumed to lie in the range of 25 > x > 0. ' (15 Marks)
a. List the special f,eatures of geometric programming. (08 Marks)
b. A company plans to use a single ship with multiple trips, the total cost consists of three
terms renting the ship, hiring the crew and Fuel. The design variables are ship hiring the
crew and fuel. The design variables are ship tonnage T and ship velocity V. The total cost is
given by
f = crTo'2 v-r + c,T-r v-' + c.r-/'Y'
Compute the values of the weights and give
programming.
Explain the computational procedure in dynamic programming. (20 NIarks)
*****
the cost computation using geometric
(12 Marks)
2 of 2
5. 14CSE41
USN
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Fourth Semester 2016
Time: 3 hrs. Max. Marks:100
;,i ,,r, .Note: Answer ony FIVE full questions.
: ,
I Derive the deflection equation for a beam - column of length '/' on the two sirnple supports
and carrying continuous load 'q' and axial load 'p'. Also determine the maximurn
(20 Marks)deflection.
Z Using the fourth-order differential equation obtain the first three criticat loads for,
l) Fixed - fixed column ii) Fixed free column (20 Marks)
3 Determine the critical load for a cantilever column subjected to a tip load using the energy
method by assuming the displacement configuration approximately equal to,
(i) Static deflection curve (ii) Parabola. (20 Marks)
4 Determine the critical load by successive approximation method for a hinged -hinged
column. (20 Marks)
5 Determine the critical load for hinged - hinged column subjected to axial load using exact
deflection equation given in terms of trigonometric series (by energy method). (20 Marks)
6 Determine the buckling load for a nin jointed frame shown in Fig. Q6. Take AE: 10 N.
(20 Marks)
tr,
tuFig. Q6
Determine the buckling load for simply supported beam of I-section subjected to central
concentrated load. (20 Marks)
Derive the expression for deflection when buckling of simply supported rectangular plate
uniformly compressed in one direction. (20 Marks)
*****