4th Semester M Tech: Structural Engineering (June-2016) Question Papers
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This document appears to be an exam question paper for a structural engineering course focused on earthquake engineering and seismic analysis. It contains 10 questions related to topics like lessons learned from past earthquakes, seismic waves, response spectra, seismic analysis of buildings, retrofitting structures, and base isolation systems. It also includes 4 figures showing building plans and mode shapes for dynamic analysis. The questions range from explaining concepts to calculating total base shear and performing vibration analysis of buildings.
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Fourth Semester
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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
*u'[l.1lhasthe
[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)](https://image.slidesharecdn.com/4thmtechcvjune2016-160803101034/85/4th-Semester-M-Tech-Structural-Engineering-June-2016-Question-Papers-3-320.jpg)
4th Semester M Tech: Structural Engineering (June-2016) Question Papers
- 1. I4CSE22USN Fourth Semester M.Tech. Eanthquake Time: 3 hrs. a. b. a. b. C) 0(s li = O c.) c.) tr ()X (0=a:i J- <c !, .= c o)= -c c) o3 *t, tt od a ()() (do c0E ,EL o>e -(g(g -1 bB 5l:(aa tq o!v o; i.96: 6O(,E =,>)'* =oo()= l-j- 6J =oQ u< *C.l (.) o z H What are the lessons past earthquakes. DrawtheD-V- response spectrunt. learnt with A response 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 vibration anal (sMRF) tn .Zone of residential building frarne - V determine the seismic Fig. Qa founded on soft scil dynamic analysis" The free shown in forces by Its of the buildi 2-5Do KA, 2 ooo KN htu $u* (YJILL, Cl 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) 3nn 3"n b t{1 3rn 777 SIS TESUITS O ng are. Natural period (sec) Mode -l Mode a, -/- Mode -3 0.8n3 a 404 a 302 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) {<**{<8 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) a. b. a. b. () (.) (.) <€ t_ 6 a o 0) L 8eoo* E= (€J -*ll qoo .= c'l (€qf, 9il(.) c -6) a C,2 aX oq) ii a0a lEL- 2t -cg E(B :i o{=Ad e_x (rv (): BUc. tE, l- 0J boo =co CJ= =sr =6J U< -c! (.) Z L- o. E 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 *u'[l.1lhasthe [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 At') J () (.) o ti a d C) C) L (.) X oo- -Y- cge =.)-oo ll qoo .= c d$ i'r b0 e8 Li Lr oBa 0()2 bu o0i(g(! !b >Ta6 tr= €(€ oP a- o. 5_ o: i.26= 3()atE (gi '- d) ==Xq oo -- coI) 6)= c.U =0)o cn L.)< - C'.tr 0) Zp P L C- 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) *****