R5310105-structural Analysis - Ii

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Code No: R5310105

III B.Tech I Semester(R05) Supplementary Examinations, May 2009 STRUCTURAL ANALYSIS-II (Civil Engineering) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ????? 1. A three-hinged symmetric circular arch has a span of 36 m and a rise of 6 m. If it is subjected to a uniformly distributed load of intensity 30 kN/m over left half portion and a concentrated load of 60 kN at 27 m from the left springing. Determine the bending moment and normal thrust at 9 m from the left support. [16] 2. A parabolic arch, hinged at the ends has a span 30 m and rise 5 m. A concentrated load of 12 kN acts at 10 m from the left hinge. The second moment of area varies as the secant of the slope of the rib axis. Calculate (a) the horizontal thrust and the reactions at the hinges, (b) the maximum bending moment anywhere on the arch.

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3. Analyse the frame shown in figure 1, by Cantilever method. Assume that all the columns have equal area of cross-section for the purpose of analysis. [16]

Figure 1: 4. A beam ABC, 12 m long, fixed at A and C and continuous over support B. The first span of length 6 m and loaded with a UDL of 2 kN/m for the whole and the second span is loaded with central point load 12 kN. Using the slope deflection method. Calculate the end moments and plot the bending moment diagram. [16] 5. (a) What is a portal frame? How will you distinguish between a symmetrical portal frame and an unsymmetrical portal frame? (b) How is the sway force obtained in an unsymmetrical frame? [16] 6. Explain the rotation contribution method for the frames with columns of equal height and subjected to vertical loads only with fixed ends and also hinged ends. [16] 7. Analyse the continuous beam shown in figure 2using force method. Sketch the BMD and SFD.

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Figure 2: 8. (a) Obtain the stiffness matrix for a general beam element. (b) Explain the analysis using stiffness method. ?????

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Code No: R5310105

III B.Tech I Semester(R05) Supplementary Examinations, May 2009 STRUCTURAL ANALYSIS-II (Civil Engineering) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ????? 1. A symmetrical three-hinged circular arch has a span of 16 m and a rise to the central hinge of 4 m. It carries a vertical load of 16 kN at 4 m from the left hand end. Find (a) the magnitude of the thrust at the springings (b) the reactions at the supports, and (c) the maximum positive and negative bending moment.

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2. A parabolic arch, hinged at the ends has a span 30 m and rise 5 m. A concentrated load of 12 kN acts at 10 m from the left hinge. The second moment of area varies as the secant of the slope of the rib axis. Calculate (a) the horizontal thrust and the reactions at the hinges, (b) the maximum bending moment anywhere on the arch. 3. Explain the Portal method for analyzing a building frame subjected to horizontal forces.

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4. A continuous beam ABCD, 12 m long, is fixed at A and D. The first span of length 5 m is loaded with a central point load of 8 kN, the second span of length 3 m is loaded with a UDL of intensity 4 kN/m and the third span is loaded with a central point load of 6 kN. Using the slope deflection method, plot the bending moment diagram, if the support B settles by 30 mm (down) and C settles by 20 mm (down). Take I= 38.2 × 106 mm4 and E= 2×105 N/mm2 . [16] 5. Analyse following continuous beam by moment distribution method and Sketch the BMD. (figure 1)

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Figure 1: 6. A continuous beam ABC is fixed at A and simply supported at B&C. The span AB is 5m and carries a u.d.l of 20 KN/m. The span BC is 3m and carries a u.d.l of 10 KN/m. Determine the moments at A & B using Kani’s method and draw BMD. [16] 7. Analyse the Continuous beam shown in figure 2using flexibility method and draw BMD.EI is constant.

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Figure 2: 8. (a) Obtain the stiffness matrix for a general beam element. (b) Explain the analysis using stiffness method.

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Code No: R5310105

III B.Tech I Semester(R05) Supplementary Examinations, May 2009 STRUCTURAL ANALYSIS-II (Civil Engineering) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ????? 1. A circular arch of span 25 m with a central rise 5 m is hinged at the crown and springing. It carries a point load of 100 kN at 6 m from the left support. Calculate. (a) the reactions at the supports and the reaction at crown (b) moment at 5 m from the left support.

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2. A parabolic arch, hinged at the ends has a span 30 m and rise 5 m. A concentrated load of 12 kN acts at 10 m from the left hinge. The second moment of area varies as the secant of the slope of the rib axis. Calculate (a) the horizontal thrust and the reactions at the hinges, (b) the maximum bending moment anywhere on the arch. 3. Explain the Portal method for analyzing a building frame subjected to horizontal forces.

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4. A continuous beam ABCD, 12 m long, is fixed at A and D. The first span of length 5 m is loaded with a central point load of 8 kN, the second span of length 3 m is loaded with a UDL of intensity 4 kN/m and the third span is loaded with a central point load of 6 kN. Using the slope deflection method, plot the bending moment diagram, if the support B settles by 30 mm (down) and C settles by 20 mm (down). Take I= 38.2 × 106 mm4 and E= 2×105 N/mm2 . [16] 5. A Portal frame ABCD of span 6m and height 4m has its vertical members fixed into the ground and the horizontal member carries u.d.l of 20 KN/m. The Moment of inertia of the vertical members is I and that of horizontal member is 2I.Determine the Moments at A,B,C &D. Also draw BMD .Use moment distribution Method. [16] 6. Explain the rotation contribution method for the frames with columns of equal height and subjected to vertical loads only with fixed ends and also hinged ends. [16] 7. Analyse the Continuous beam shown in figure 1 using flexibility method. Find the bending moments at A and B. EI is constant. [16]

Figure 1: 8. Analyse the continuous beam shown in figure ?? by the displacement method. Hence calculate the bending moment C. EI is constant. [16]

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Code No: R5310105

III B.Tech I Semester(R05) Supplementary Examinations, May 2009 STRUCTURAL ANALYSIS-II (Civil Engineering) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ????? 1. A parabolic arch hinged at the springings and the crown has a span of 10 m. The central rise of the arch is 2.5 m. It is loaded with a uniformly distributed load of intensity 16 kN/m on the left 5 m length. Determine the internal forces and the resultant forces at the point 2.5 m from the left support. [16] 2. A two-hinged segmental arch of uniform moment of inertia has span of 60 m and subtends 900 at the center. Left hand half of the arch is loaded with uniform distributed load of 2 kN/m. Draw the B.M. diagram for the arch. [16] 3. Explain the Portal method for analyzing a building frame subjected to horizontal forces.

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4. A continuous beam ABCD, 13 m long, is fixed at A and overhang at D. The first span of length 6 m is loaded with a UDL of intensity 2 kN/m, the second span of length 5 m is loaded with a central point load of 5 kN and the end of overhand is loaded with a point load of 8 kN. Using the slope deflection method, determine the bending moment at the supports and plot the bending moment diagrams. [16] 5. A beam ABCD is continuous over three spans AB = 8m, BC = 4m and CD = 8m. The beam AB and CD is subjected to a u.d.l of 1.5 KN/m, where as there is a central point load of 4 KN in BC. The moment of inertia of AB and CD is 2I and that of BC is I. The ends A and D are fixed. During loading, the support B sinks down by1.5 cm. Find the fixed end moments using moment distribution method. Take E=2 × 105 N/mm2 , I = 16 × 106 mm4 . [16] 6. Determine the support moments for the continuous beam shown in figure 1 and draw BMD by using Kanis method. [16]

Figure 1: 7. Analyse the Continuous beam shown in figure 2 using flexibility method. Find the bending moments at A and B. EI is constant. [16]

Figure 2: 8. Analyse the structure using stiffness method. EI= constant. (figure 3)

Figure 3: ?????

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