(a) Stiffness matrix method is known as
(i) equilibrium method
(ii) force method
(iii) displacement method
(iv) None of the above
(b) The degree of kinematic indeterminacy of a two-bay, three-storey portal frame fixed at the base is
(i) 6 (ii) 15 (iii) 18 (iv) 27
(c) If three members meet at a joint and the stiffness of the members are k₁ = 2EI, k₂ = El, k3=1.5EI, then the distribution factor for member 3 is
(i) 1/3 (ii)1/3.5 (iii) 1/4.5 (iv) None of the above
(d) If the area of (M/EI) diagram between points A and B is -ve, then angle from tangent A to tangent B will be measured
(i) counterclockwise (ii) clockwise (iii) Can be, anything (iv) Angle will be 0
(e) For drawing ILD, what value of test load is assumed?
(i) Arbitrary
(ii) 1 unit
(iii) Depends upon structure
(iv) O
(f) if all the reactions acting on a planar system are concurrent in nature, then the system is
(i) Cannot say
(ii) essentially stable
(iii) essentially unstable
(iv) None of the above
(g) For stable structures, one of the important properties of stiffness matrix is that the elements on the main diagonal
(i) must be positive
(ii) must be negative
(iii) may be positive or negative
(iv) Cannot say
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h) Which of the following is displacement method? not the
(i) Moment distribution method (ii) Equilibrium method iii) Column analogy method (iv) Kani’s method
(i) The principle of virtual work can be applied to elastic system by considering the virtual work of
(i) internal forces only (ii) external forces only (iii) internal as well as external forces (iv) None of the above
(j) If in ILD analysis peak force comes out to be 2 kN, then what will be the peak force if loading is 2 kN?
(i) 1 kN (ii) 2 kN (iii) 3 kN (iv) 4 kN
2. Explain external and internal indeterminacy of structure. What is degree of freedom? Compute ordinates of influence line for moment at mid-span of BC for the beam (Fig. 1) at 1 m interval (locations 1, 2, 3, 4. 5, 6) and draw influence line diagram. Assume moment of inertia to be constant throughout
3. State the assumption of the slope-deflection equations. Analyse the frame as shown in Fig. 2 by slope deflection method and draw bending moment diagram. Assume El same for all the members.
4. (a) Explain moment distribution method. What is meant by distribution factor?
(b) Analyse the continuous beam shown in Fig. 3 by moment distribution method and draw bending moment diagram. Assume El is constant throughout.
5. State usefullness of three moment equations. Derive the support moments in the continuous beam shown in Fig. 4 by using three moment equations.
6. Derive moment area theorems. Determine the rotation at supports and deflection at mid-span and under the loads in the simply supported beam as shown in Fig. 5.
7. Explain first theorem of Castigliano. Determine the vertical deflection at the free end and rotation at A in the overhanging beam as shown in Fig. 6 using Castigliano’s theorem. Assume El constant
8. (a) Determine stiffness matrix and flexibility matrix of a beam and plane truss element.
(b) What do you mean by flexibility and stiffness of a structure? What is the relation between flexibility and stiffness? Analyse the continuous beam shown in Fig. 7 by stiffness matrix method.
9. State Bernoulli’s principle of virtual displacement. Explain cantilever method of analysis of structure. Analyse the frame (Fig. 8) by cantilever method.
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Also read = Material Testing And Evaluation previous year solution 2022