Derive relation between stiffness and flexibility.
[4 marks]Analyze the continuous beam shown in Figure by slope deflection method and draw bending moment diagram.
[7 marks]Draw restrained structure and released structure for a propped cantilever beam.
[3 marks]Adistributed load of 80 kN per metre run away occupy any position on the girder as shown in Figure. Find the maximum positive and negative shear force at the section marked C.
[7 marks]Analyze the frame shown in Figure by moment distribution method and draw bending moment diagram.
[7 marks]Page 1 of
[5 marks]Write characteristics of stiffness matrix.
[3 marks]Enlist steps of unit load method to analyze indeterminate structures.
[4 marks]Derive shear equation in the case of analyzing the portal frame with side sway.
[4 marks]Explain fictitious load method used to solve deflection problems.
[3 marks]Calculate the central deflection for a simply supported beam of length ‘l’ subjected to a udl ‘w’ throughout its span using Castingliano’s 1st theorem.
[4 marks]Draw the influence line diagram for reaction at Bin the continuous beam shown in Figure. EI is constant throughout.
[7 marks]For a cantilever beam, show that stiffness and flexibility matrices are reciprocal to each other.
[3 marks]Calculate the fixed end moment for the beam shown in Figure using Castigliano’s 2nd theorem. Page 2 of
[5 marks]Draw influence line diagrams for support reactions of a simply supported beam.
[4 marks]Explain various types of skeletal structures.
[3 marks]State and prove the Castingliano’s 1st theorem.
[4 marks]For a mild steel bent of 200 mm diameter as shown in Figure, find the vertical deflection at D. E = 2×105 N/mm2.
[7 marks]What is influence line diagram? What is the use of it?
[3 marks]Asteel bar bent to the shape as shown in Figure is fixed at Aand carries a vertical load Wat C. Calculate the vertical deflection at C. EI is constant throughout Page 3 of Page 4 of
[5 marks]Analyze the beam shown in Figure by flexibility method. Page 5 of
[5 marks]What is a portal frame? Discuss the causes of sway in a portal frame.
[4 marks]For a beam shown in Figure, find the moments and the reactions at the supports. Draw bending moment and shear force diagram for the beam.
[7 marks]State the assumptions made in deriving slope-deflection equations.
[3 marks]Explain Muller-Breslau principle.
[4 marks]Differentiate between Stiffness method and Flexibility method. Which method is suitable for general computer programming?
[3 marks]