(a) the direction and magnitude of reaction at the hinges, (b) bending moment, normal thrust and shear at 4m and 15m from left end.

Transcription

1 Code No: V3102/R07 Set No. 1 III B.Tech I Semester Supplementary Examinations, May 2010 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 crown has a span of 20 m. The central rise of the arch is 4 m. It is loaded with a uniformly distributed load of intensity 2 kn/m on the left 8 m length. Calculate (a) the direction and magnitude of reaction at the hinges, (b) bending moment, normal thrust and shear at 4m and 15m from left end. [16] 2. A two hinged parabolic arch of span L has central rise of one-fourth of the span. Show that the horizontal thrust on the arch due to a point load of W at its quarter span is 5W/8. Take I = I o Sec θ. 3. Explain the Portal method for analyzing a building frame subjected to horizontal forces. [16] 4. A horizontal beam ABCD, is carried on hinged supports and is continuous over three equal spans each of 3 m. All the supports are initially at the same level. The first span is loaded with central point load of 8 kn, second span is loaded with a UDL of intensity 2 kn/m and the third span is loaded with a point load of 9 kn acting 2 m from right support. Using the slope deflection method, plot the bending moment diagram, if the support A settles by 10 mm, B settles by 30 mm and C settles by 20 mm. Take I = mm 4 and E= N/mm 2. [16] 5. (a) Define the term CARRY OVER FACTOR. (b) Explain the term Distribution Factor. (c) Derive the relation for the stiffness factor for a beam S.S at its both ends. [3+3+10] 6. Analyse the continuous beam shown in figure 6 by Kani s method and draw BMD. [16] Figure 6 1 of 2

2 Code No: V3102/R07 Set No Analyse the continuous beam shown in figure 7using Flexibility method Sketch the BMD & SFD. EI is constant. [16] Figure 7 8. By the matrix displacement method analyse the beam shown in figure 8 for a 15mm settlement of the support at B. [16] Figure 8 2 of 2

3 Code No: V3102/R07 Set No. 2 III B.Tech I Semester Supplementary Examinations, May 2010 STRUCTURAL ANALYSIS-II (Civil Engineering) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks 1. A parabolic arch rib, 20 m span and 3 m rise is hinged at the abutments and the crown and carries a point load of 10 kn at 7.5 m from the left hand hinge. Calculate the horizontal thrust and the bending moment at a section 7.5 m form right hand hinge. What is the value of the greatest bending moment in the arch, and where does it occur? [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. [16] 3. Analyse the frame shown in figure 3, by Cantilever method. Assume that all the columns have equal area of cross-section for the purpose of analysis. [16] Figure 3 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= mm 4 and E= N/mm 2. [16] 5. (a) Define the term CARRY OVER FACTOR. (b) Explain the term Distribution Factor. (c) Derive the relation for the stiffness factor for a beam S.S at its both ends. [3+3+10] 1 of 2

4 Code No: V3102/R07 Set No Explain Kani s method for frames with side sway. [16] 7. Determine the bending moments at supports B and C of the continuous beam shown in figure 7, using these moments as the redundants M1 and M2 respectively. Assume that the redundants are positive when they produce compression on the top of the beam. EI= constant. Figure 7 8. Analyse the structure using stiffness method. EI= constant. (figure 8) [16] Figure 8 2 of 2

5 Code No: V3102/R07 Set No. 3 III B.Tech I Semester Supplementary Examinations, May 2010 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 crown has a span of 20 m. The central rise of the arch is 4 m. It is loaded with a uniformly distributed load of intensity 2 kn/m on the left 8 m length. Calculate (a) the direction and magnitude of reaction at the hinges, (b) bending moment, normal thrust and shear at 4m and 15m from left end. [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. [16] 3. Explain the Portal method for analyzing a building frame subjected to horizontal forces. [16] 4. A horizontal beam ABCD, is carried on hinged supports and is continuous over three equal spans each of 3 m. All the supports are initially at the same level. The first span is loaded with central point load of 8 kn, second span is loaded with a UDL of intensity 2 kn/m and the third span is loaded with a point load of 9 kn acting 2 m from right support. Using the slope deflection method, plot the bending moment diagram, if the support A settles by 10 mm, B settles by 30 mm and C settles by 20 mm. Take I = mm 4 and E= N/mm 2. [16] 5. By using moment distribution method, determine the support moments at all the joints of the Portal frame shown in figure 5. Figure 5 6. Analyse the Continuous beam shown in figure 6 using kani s method and draw BMD. [16] 1 of 2

6 Code No: V3102/R07 Set No. 3 Figure 6 7. Analyse the continuous beam shown in figure 7 assuming that it rests on unyielding supports. The fixed end moment at A & the vertical reaction of the support at B may be treated as redundants.ei is constant. [16] Figure 7 8. Analyse the structure using stiffness method. EI= constant. (figure 8) [16] Figure 8 2 of 2

7 Code No: V3102/R07 Set No. 4 III B.Tech I Semester Supplementary Examinations, May 2010 STRUCTURAL ANALYSIS-II (Civil Engineering) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks 1. A three-hinged parabolic arch hinged at the supports and at the crown has a span of 24 m and a central rise of 4 m. It carries a concentrated load of 50 kn at 18 m from left support and a uniformly distributed load of 30 kn/m over the left half portion. Determine the moment, thrust and radial shear at a section 6 m from the left support. [16] 2. A two-hinged parabolic arch has a span 10 m and rise 1 m. It subjected two concentrated loads of 60 kn at 3 m from the left hinge and 80 kn acts at its crown. Assume that I = I c Sec θ and Cos θ=1. Take area of cross section at the crown. A C = 0.18 m 2 and E = kn/m 2. Determine the reduction in the horizontal thrust in the arch due to rib shortening effect. [16] 3. Explain the Portal method for analyzing a building frame subjected to horizontal forces. [16] 4. A continuous beam ABCD, 16 m long, is simply supported at A and D. The first span of length 6 m is loaded with a point load of 8 kn acting 2 m from left support, the second span of length 5 m is loaded with a UDL of intensity 2 kn/m and the third span is loaded with a point load of 6 kn acting 3 m from right support. Using the slope deflection method, calculate the moments at the support. [16] 5. (a) Define the term CARRY OVER FACTOR. (b) Explain the term Distribution Factor. (c) Derive the relation for the stiffness factor for a beam S.S at its both ends. [3+3+10] 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. Define the term Flexibility and draw BMD for the beam shown in figure 7 by using flexibility method. EI is constant. [16] Figure 7 1 of 2

8 Code No: V3102/R07 Set No Analyse continuous beam shown in figure 8 using stiffness method. Draw BMD. Given AB=BC=10m. [16] Figure 8 2 of 2