State Castigliano’s first theorem and its usefulness in analysis of structure.
[3 marks]Characteristics of Stiffness Matrix.
[4 marks]Determine the vertical deflection at free end in the overhanging beam as shown in figure 01. Assume constant EI. Use Castigliano’s method.
[7 marks]Write and explain Muller Breslau’s principal.
[3 marks]Draw the Qualitative I.L.Dfor three span continuous beam. figure 02.
[4 marks]Using Castigliano’s theorem Find the vertical deflection of point Cfor the beam shown in figure 03.
[7 marks]Find the Displacement at C, as shown in figure 04 using Castigliano’s theorem. E = 2 X 104 N/mm2.
[7 marks]Define: ILD, Distribution factor, Carry over factor,
[3 marks]For cantilever of span ‘l’ draw ILD for support reactions and shear force and bending moment at center.
[4 marks]Analyse the portal frame shown in figure 05 by slope deflection equation method and draw the bending moment diagram.
[7 marks]Define: Sway. What are the causes for Sway in portal frames?
[3 marks]What is an influence line diagram? Explain its importance in structural analysis.
[4 marks]Determine support moments using slope deflection method for the frame shown in figure 06. Also draw the bending moment diagram.
[7 marks]Write assumptions made in slope deflection method.
[3 marks]Define Stiffness. Derive relation between stiffness and flexibility.
[4 marks]Asimply Supported beam of span Land flexural rigidity EI is subjected to actions as shown in figure 07. Formulate Flexibility and stiffness matrices and show that F.S=1.
[7 marks]Differentiate between pre-tensioning and post- tensioning in detail.
[3 marks]Differentiate: Stiffness method and Flexibility method. Which method is suitable for general computer programming? Why?
[4 marks]Formulate flexibility matrix for a cantilever non-prismatic beam shown in figure 08.
[7 marks]Explain stiffness factor and Distribution factor in Moment distribution method.1
[3 marks]Generate the flexibility matrix for the simply supported beam AB with the coordinates shown in figure 09.
[4 marks]Analyse the frame ABCD loaded as shown in figure 10. and plot B.M. diagram. Also draw deflected shape of the structure.
[7 marks]State Castigliano’s second theorem and its usefulness in analysis of structure.
[3 marks]What is qualitative influence line and quantitative influence line?
[4 marks]Determine the support moment for a continuous beam shown in figure 11. By moment distribution method. Also draw bending moment diagram. FIGURES Figure Figure 01 Figure Figure2 Figure Figure Figure 07 Figure Figure 09 Figure Figure 11 s3
[10 marks]