Rr320102-structural-analysis-ii

Set No. 1

Code No: RR320102

III B.Tech Supplimentary Examinations, Aug/Sep 2008 STRUCTURAL ANALYSIS-II (Civil Engineering) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ⋆⋆⋆⋆⋆ 1. (a) How are arches classified based on shape and end conditions? (b) State and prove Eddy’s theorem.

[6+10]

2. A two - hinged segmental arch of constant section is of horizontal span 24m and central rise 6m. Calculate the horizontal thrust induced due to a rise in temperature of 30 o C if the coefficient of expansion α = 12 × 10−6 / o C and E = 200 kN/mm2 . If the rib section is symmetrical and 1m deep find the max change in bending stress due to rise in temperature. [16] 3. A suspension bridge of 250m span has two three hinged stiffening girders supported by two cables having a central dip of 25m. The width of roadway is 8m. The dead load is 0.5 kN/m2 of floor area, and live road is 1 kN/m2 over the left half of the bridge. Find the B.M. and S.F. at 60m from left hinge. Find also the max tension in cable. [16] 4. Analyse a two-span continuous beam ABC having the end supports A and C fixed and spans AB = 4m and BC = 6m. On AB there is a u.d.l. of 10 kN/m while on BC there is a point load of 30kN at 2m from C. The moment of inertia of BC is twice that of AB. Sketch the B.M. and S.F.D. [16] 5. Find the support moments for the continuous beam having an overhang as shown in Figure 5, if the moment of inertia of AB = 1.5I and of BC and CD = I. Sketch the B.M. and S.F.D. [16]

Figure 5 6. Analyse the two span continous beam ABC Loaded as shown in Figure 6 The ends A and C are simply supported. Use moment distribution method. Sketch the B.M. and S.F. diagram. [16]

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Set No. 1

Code No: RR320102

Figure 6 7. Using Flexibility method of analysis find the support moments and reactions for the two-span continuous beam loaded as shown in Figure 7 Sketch the B.M.D. ( E I = constant). [16]

Figure 7 8. What is Finite Element Method? Summarise the steps involved in the Finite Element Analysis procedure. [16] ⋆⋆⋆⋆⋆

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Set No. 2

Code No: RR320102

III B.Tech Supplimentary Examinations, Aug/Sep 2008 STRUCTURAL ANALYSIS-II (Civil Engineering) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ⋆⋆⋆⋆⋆ 1. (a) How are arches classified based on shape and end conditions? (b) State and prove Eddy’s theorem.

[6+10]

2. (a) What is the statical indeterminacy of three-hinged, two-hinged and fixed arches? (b) Derive the expression for evaluating the horizontal thrust in a two-hinged arch. (c) What happens if I = Io sec θ?

[4+6+6]

3. A suspension bridge cable of span 80m and central dip 8m is suspended from the tops of two towers at the same level. It is stiffened by a three-hinged stiffening girder which carries a single point load of 10kN at 20m from the left hinge. Sketch the S.F.D. for the girder. [16] 4. Compute the joint moments of the portal frame loaded as shown in Figure 4 using Kani’s method. [16]

Figure 4 5. Using slope deflection method, analyse the two span continuous beam loaded as shown in the Figure 5 Sketch the B.M. and S.F. Diagram. [16]

Figure 5 1 of 2

Set No. 2

Code No: RR320102

6. During loading the middle support B of the continuous beam ABC, sinks by 10mm. The ends A and C as fixed as shown in Figure 6 Find the moments at A,B, C using moment distribution method. Sketch the B.M. and S.F. diagram ( E =200 GN/m2 and I = 80 x 10−6 m4 ). [16]

Figure 6 7. Analyse the two-span continuous beam loaded as shown in Figure 7 by the Force method. Sketch the B.M.D (E I = constant). [16]

Figure 7 8. What is Finite Element Method? Summarise the steps involved in the Finite Element Analysis procedure. [16] ⋆⋆⋆⋆⋆

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Set No. 3

Code No: RR320102

III B.Tech Supplimentary Examinations, Aug/Sep 2008 STRUCTURAL ANALYSIS-II (Civil Engineering) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ⋆⋆⋆⋆⋆ 1. (a) How are arches classified based on shape and end conditions? (b) State and prove Eddy’s theorem.

[6+10]

2. (a) What is the statical indeterminacy of three-hinged, two-hinged and fixed arches? (b) Derive the expression for evaluating the horizontal thrust in a two-hinged arch. (c) What happens if I = Io sec θ?

[4+6+6]

3. (a) What is the difference between an “arch” and a “cable” in structural action. (b) With the help of a neat sketch explain the general cable theorem, and prove it. [8+8] 4. Using Kani’s method determine the support moments for the three-span continuous beam with fixed end supports shown in Figure 4 (EI = constant). Sketch the B.M. and S.F. D. [16]

Figure 4 5. A continuous beam ABC, fixed at A and C is supported by a column BD, fixed at D and rigidly connected to the beam at B as shown in Figure 5 Using slope deflection method analyse the beam and sketch the BMD. [16]

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Set No. 3

Code No: RR320102

Figure 5 6. Find the support moments of the three span continuous beam loaded as shown in Figure 6 using moment distribution method if the moment of inertias of spans AB,BC and CD are 2I, 1.5 I and I respectively. Sketch the B.M.D. [16]

Figure 6 7. Using Flexibility method analyse the continuous beam shown in Figure 7 Obtain the released structure by removing the fixed end moment at A and the vertical reaction at B so that it becomes a simply supported beam. Choose the clockwise rotation at A as coordinate 1 and the coordinate 2 vertically upwards at B. Sketch the BMD [16]

Figure 7 8. Analyse the two-span continuous beam shown in Figure 8 by stiffness method if the moment of inertia of span AB = I, while that of BC = 2I. Sketch the B.M. and S.F. diagrams. [16]

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Set No. 3

Code No: RR320102

Figure 8 ⋆⋆⋆⋆⋆

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Set No. 4

Code No: RR320102

III B.Tech Supplimentary Examinations, Aug/Sep 2008 STRUCTURAL ANALYSIS-II (Civil Engineering) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ⋆⋆⋆⋆⋆ 1. (a) How are arches classified based on shape and end conditions? (b) State and prove Eddy’s theorem.

[6+10]

2. (a) What is the statical indeterminacy of three-hinged, two-hinged and fixed arches? (b) Derive the expression for evaluating the horizontal thrust in a two-hinged arch. (c) What happens if I = Io sec θ?

[4+6+6]

3. The cables of a suspension bridge of span 200 m are suspended from the top of piers which are not at the same level. The tops of piers are 18m and 12m vertically above the lowest point of the cable. The u.d.l. carried per cable = 10 kN/m. Find. (a) Length of the cable between the piers (b) Horizontal pull in the cable (c) Tension in the cable at the piers (d) Pressure on the piers assuming that the cable passes over smooth pulleys fixed at the top of the piers and the backstay at the lowest point makes an angle of 600 with the vertical and that of the higher pier makes an angle of 450 with the vertical. [4+4+4+4] 4. A two span continuous beam ABC has spans AB = 3m and BC = 4m and the end A and C are simply supported. On AB there is a load of 36 kN at 2m from A, while on BC there is a u.d.l. of 18 kN/m. If the moment of inertia of BC is 1.5times that of AB, analyse the beam using Kani’s method. Sketch the B.M. and S.F.D. [16] 5. Using slope deflection method, analyse the two span continuous beam loaded as shown in the Figure 5 Sketch the B.M. and S.F. Diagram. [16]

Figure 5

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Set No. 4

Code No: RR320102

6. During loading the support B of the continuous beam ABC shown in Figure 6 sinks by 10mm. Using moment distribution method find out the support moments, sketch the B.M. and S.F. diagrams. E = 200 GN/m2 and I = 100 × 10−6 m4 . [16]

Figure 6 7. Find the moments at the supports A,B and C of the continuous beam loaded as shown in Figure 7 if the moment of inertia of AB = I, while that of BC = 2 I. Sketch the B.M.D. Use Force method of analysis. [16]

Figure 7 8. Using stiffness-method find the support moments for the two-span continuous beam loaded as shown in Figure 8 and sketch the B.M. and S.F.D. (E I = constant).[16]

Figure 8 ⋆⋆⋆⋆⋆

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