Analyse the beam as shown in fig.-1 by Moment Distribution Method and draw BMD.
[7 marks]Explain with illustrations the characteristics of flexibility / stiffness matrices.
[3 marks]Derive slope and deflection method equations from first fundamentals.
[4 marks]Analyse the beam shown in fig.-3 by flexibility method and draw BMD.
[7 marks]Explain causes of side-sway in plane frame with illustrations.
[3 marks]Atwo span simple support continuous beam ABC having AB=5 m and BC = 6m. The span AB is loaded by a point load at centre by 50kN and span BC is loaded by a UDL of 20kN/m over entire span. Analyze the beam by moment distribution method and draw BMD.
[4 marks]Analyse the beam shown in fig.-3 by slope-deflection method and draw BMD. Take EI=constant.
[7 marks]A UDL of intensity 16 kN/m, 5 m long moving on a beam of 10 m span. Find maximum bending moment at a section 4m from left support.
[4 marks]Obtain slope-deflection equations for the beam shown in fig.- 2.
[3 marks]Calculate the stiffness matrix for the beam shown in fig.-2.
[4 marks]For a two span simple support continuous beam ABC having AB=5m and BC=5m, calculate the ILD ordinates for Rat A every 1m interval.
[7 marks](i) Define influence line diagram. 0 (ii) Construct Influence Line Diagrams for Reaction (R ) A and bending moment at 2 m from free end for a cantilever beam AB fixed at Aand having span 5m.
[3 marks]Three point loads 90 kN, 75 kN and 55 kN equally spaced 3m respectively, cross a girder of 30 m span from left to right, the 55 kN load leading. Calculate absolute maximum bending moment in the beam and its location.
[7 marks]Write and explain Muller Breslau’s principal.
[3 marks]Explain Castigliano’s both theorems.
[3 marks]Calculate the slope at free end Bfor a cantilever beam AB having length 5m and loaded by a UDL of 30 kN/m over whole span using energy principle.1
[4 marks]Fig.-4 shows simply supported beam AB having varying moment of inertia. It is subjected to an eccentric load. Calculate deflection under the load using energy principle.
[7 marks]Calculate deflection at Bfor a cantilever beam AB, fixed at Aand free at B, and is acted upon by a UDL of 45 kN/m over whole span using unit load method. Take EI=constant. Consider length of AB=3m.
[4 marks]Apropped cantilever beam of span 7m has fixed support at left end and roller support at right end is loaded by a UDL of 25kN/m up to 3m from left support. Analyze the beam by energy principle and draw BMD.
[7 marks]Calculate slope-deflection equations for the portal frame as shown in fig.-5.
[3 marks]Choosing Mand Mas redundants, find flexibility matrix A B for a fixed beam having span of 8m. Take EI=Constant.
[4 marks]Analyze the portal frame as shown in fig.-5 by flexibility matrix method and draw BMD.
[7 marks]Define: Stiffness, Distribution Factor, Carry Over Factor.
[3 marks]Find distribution factors for the beam shown in fig.-6.
[4 marks]Analyze the beam as shown in fig.-6 by stiffness matrix method. 50kN 30kN/m A C 4m B 2m 2m Fig.-2 Fig.-1 30kN 35kN/m 60kN/m C A A B 6m B 5m 3m, 2EI C 4m, EI Fig.-3 Fig.-4 50kN/m A B 5m,3I 2m,I 60kN 2m,I Fig.-5 C B 25 kN 40 kN B C A 4 m 5 m 6 m 5 m (EI) (EI) Fig.-6
[7 marks]