Structural Stability M.Tech Model Question Paper : mgu.ac.in

Name of the University : Mahatma Gandhi University
Department : Civil Engineering
Degree : M.Tech
Subject Code/Name : MCESE 206.1/Structural Stability
Sem : II
Website : mgu.ac.in
Document Type : Model Question Paper

Download Model/Sample Question Paper : https://www.pdfquestion.in/uploads/mgu.ac.in/5245-MCESE%20206_1%20Elective%20IV%20Structural%20Stability%20-set1(1).doc

MGU Structural Stability Question Paper

M.TECH. Degree Examination :
Branch : Civil Engineering
Specialization – Computer Aided Structural Engineering

Related : MGU Earthquake Resistant Design of Structures M.Tech Model Question Paper : www.pdfquestion.in/5244.html

Model Question Paper – I

Second Semester :
MCESE 206.1 Structural Stability (Elective IV )
(Regular – 2011Admission onwards)
Time: 3 hours
Maximum Marks: 100
1. (a) Explain the concept of stability of structure with reference to the equilibrium conditions. (10 marks)
(b) Explain Euler’s theory of columns stability, write assumptions and limitations. (10 marks)
(c) Explain stable and unstable equilibrium (5 marks)
OR

2. (a) Describe the dynamic approach for column buckling with an example (10 marks)
(b) Derive the higher order governing equation for stability of columns. Hence analyse the column with one end clamped and other hinged boundary condition. (15marks)

3. (a) Stability of structure is an eigen value problem. Discuss. (5 marks)
(b) What are the merits of energy method. (5 marks)

(c) What is elastica? Prove that a load 15.2 percent more than Euler load will produce a deflection corresponding to an angular deflection of 60o at the ends of the column measured with respect to the vertical. (15 marks)
OR

4. (a) Diffentiate between elastic buckling and Inelastic buckling of columns. (10 marks)
(b) A non prismatic two hinged column is shown in figure1. Compute the critical load by the finite difference method, descrstizing the column in to four segments. (15 marks)

5. (a) A beam column subjected to a uniformly distributed load and an axial load is shown in figure 2. Obtain the expression for maximum deflection and maximum moment. (12 marks)

(b) Compute the critical load of the frame shown in figure 3 by the energy method. All the members have the same EI and L. (13 marks)
OR

6 (a) Explain the equilibrium approach for the buckling analysis of beam columns with example. (10 marks )
(b) With suitable sketches discuss the different modes of buckling of portal frames. (5 marks)
(c) Determine the critical load of portal frame with sway shown in figure 4 using equilibrium approach. (10 marks )

7. (a) Explain the role of finite element method in structural stability analysis. What is stress stiffness matrix? (10 marks)
(b) Derive the governing moment equilibrium equation for the buckling of a thin plate. (15 marks)
OR

8. (a) Derive the general formula for stiffness matrix[kcr]. (12 marks)
(b) Explain the properties and uses of [kcr]. (5 marks)
(c) Calculate torsional buckling load of ? section column under axial load. (8 marks)

Model Question Paper – II

Time : Three Hours
Maximum : 100Marks
Answer all questions
1. (a) What is meant by stability of a structure? Explain the concept with reference to the equilibrium conditions. (10 marks)
(b) Briefly describe the analytical approaches of stability analysis. (15 marks)
or

2. (a) Describe the dynamic approach for column buckling with an example. (10 marks)
(b) Derive the higher order governing equation for stability of columns. Hence analyse the columns with both ends clamped. (15 marks)

3. (a) What is elastica? Prove that an angular deflection of 60º is allowed at the ends of a hinged – hinged column at the ends, the critical load is 15.2% more than the Euler load. (15 marks)
(b) Evaluate the buckling load of a clamped simply supported column using Galerkin method. (10 marks)
or

4 (a) Differentiate between elastic buckling and inelastic buckling of columns. (10 marks)
(b) Discuss the procedure of evaluating buckling load of columns by energy approach. (10 marks)
(c) Discuss the stability of a structure as an eigen value problem. (5 marks)

5.(a) Compute the critical load of the frame shown in fig.1 by energy method. All members have same EI & l.
(b) Derive the expression for the maximum bending moment of a simply supported beam of length ‘l’ carrying an axial compressive force ‘P’ and a uniformly distributed load q/ unit length. (12 marks)
or

6. (a) With suitable sketches discuss the symmetric and antisymmetric modes of buckling of portal frames. (5 marks)
(b) Explain the equilibrium approach for the buckling analysis of beam columns with example. (10 marks)
(c) Determine the critical load of portal frame with sway shown in fig. 2 using equilibrium approach. Assume EI and l as same for all members. (10 marks)