R05220106-structural-analysis-i

Set No. 1

Code No: R05220106

II B.Tech II Semester Supplimentary Examinations, Aug/Sep 2008 STRUCTURAL ANALYSIS-I (Civil Engineering) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ⋆⋆⋆⋆⋆ 1. A beam AB 6m long is fixed at A and simply supported at B. The beam carries a uniformly distributed load of 12 kN/m. Find what couple should be applied at B so that bending moment at A is zero. Find the central deflection of the above beam. [16] 2. Find the fixed end moments for a fixed beam of span 6 m subjected to a concentrated clockwise moment of 10 kNm at 2.5 m from the left end. [16] 3. Determine the support moments and reactions for the three span continuous beam shown in Figfure 3 using Clapeyron’s theorem of three moments. Assume EI as constant. Also sketch the BMD and SFD. [16]

Figure 3 4. Develop the slope-deflection equations for analyzing continuous beams and portal frames. Illustrate their application. [16] 5. Define Strain energy. Derive an expression for strain energy due to bending moment. [16] 6. A uniform load of 30kN/m, 5m long, crosses a girder 20m span. Calculate the maximum S.F and B.M at a section 8m from the left support. Also find out the maximum shear and the absolute maximum BM in the beam. [16] 7. A warren girder of 60m span is built up of triangles and has ten panels of 6m each. Draw the influence line for the left hand diagonal in the fourth panel from the left hand support. State the exact position of a single rolling load in the panel so that the force in the diagonal is zero. [16] 8. (a) What are the Advantages and disadvantages of statically indeterminate trusses? (b) Explain how castigluauos theorem provides an elegant method of solution to indeterminate trusses by considering one example? [6+10] ⋆⋆⋆⋆⋆ 1 of 1

Set No. 2

Code No: R05220106

II B.Tech II Semester Supplimentary Examinations, Aug/Sep 2008 STRUCTURAL ANALYSIS-I (Civil Engineering) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ⋆⋆⋆⋆⋆ 1. Draw the bending moment and shear force diagram of a propped cantilever beam of span 6m due to a point load of 6 kN at the mid span. [16] 2. A fixed-fixed beam of span 8 m is subjected to a linearly varying load of 8kN/m from one support to 6 kN/m to the other support. Find the support reactions and moments. Draw the shear force and bending moment diagrams. [16] 3. A continuous beam of constant moment of inertia is loaded as shown in Figure 3. Find the support moments and reactions using Clapeyron’s theorem of three moments. Also sketch the BMD and SFD. [16]

Figure 3 4. Develop the slope-deflection equations for analyzing continuous beams and portal frames. Illustrate their application. [16] 5. In the pin jointed frame shown in Figure 5, if joint B undergoes horizontal and vertical displacements of magnitude δu , δv respectively. Find the magnitude of the load that is applied at B. If A1 , A2 andL1 , L2 represent the area of c/s and lengths of the members AB and BC respectively, with E as modulus of elasticity then what shall be the force required if the joint B has no horizontal shift. [16]

Figure 5 6. The system of concentrated loads shown below rolls from left to right on a girder of span 16m, 30kN load leading. For a section 4m from left support , determine 1 of 2

Set No. 2

Code No: R05220106 the maximum B.M and S.F: Wheel load (kN) : 20 50 50 Spacing (m) : 1.5 1.5

40 2

30 1

[16]

7. An over hanging beam DABC , 14m long is supported at A and B . DA=BC=2m; AB=10m. Draw the influence lines for the reactions at A and B, shear and bending moment at section 3m from A. Hence obtain their values for a uniformly distributed load of 10kN/m, 5m long acting from A. [16] 8. (a) Cite Two examples of structures that have the same degree of static and kinematic indeterminacy. (b) Three wires AD, BD and CD having the same cross sectional area and of same material support a load W as shown in Figure 8. Determine the tensions in three wires. [6+10]

Figure 8 ⋆⋆⋆⋆⋆

2 of 2

Set No. 3

Code No: R05220106

II B.Tech II Semester Supplimentary Examinations, Aug/Sep 2008 STRUCTURAL ANALYSIS-I (Civil Engineering) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ⋆⋆⋆⋆⋆ 1. A propped cantilever of span 6m is subjected to two concentrated loads 14 kN and 20 kN at one third and two third points respectively from the fixed end. Find the reactions and fixing moments. Draw also the shear force and bending moment diagrams for the beam. EI is constant. [16] 2. Find the fixed end moments for a fixed beam of span 6 m subjected to a concentrated clockwise moment of 10 kNm at 2.5 m from the left end. [16] 3. A continuous beam ABC consists of spans AB and BC of lengths 4m and 6m respectively, the ends A and B being fixed. C is a free end. The span AB carries a uniformly distributed load of 24 kN/m while the span BC carries a point load of 108 kN at a distance of 2m from C. Find the support moments and support reactions. [16] 4. Develop the slope-deflection equations for analyzing continuous beams and portal frames. Illustrate their application. [16] 5. Define Strain energy. Derive an expression for strain energy due to bending moment. [16] 6. A load 80kN/m and, 4m long, rolls over a girder of 30m span. Calculate the equivalent uniformly distributed load. [16] 7. A pratt girder consists of eight panels, each 3.5m square, the loading being on the lower bottom. Draw the influence line for the force in the diagonal of the of the third panel from the left and determine the maximum tension and compression in it due to uniformly distributed load of 100kN/m, 10m long. [16] 8. While Fabricating the pin pointed frame shown in Figure 8; the member AC was the last member to be fitted, and was found to be 1mm short of the resumed lasted. Find the force in AC the diagonal members are 1000mm2 in area while others are 2000mm2 in area E = 200Gpa. [16]

1 of 2

Set No. 3

Code No: R05220106

Figure 8 ⋆⋆⋆⋆⋆

2 of 2

Set No. 4

Code No: R05220106

II B.Tech II Semester Supplimentary Examinations, Aug/Sep 2008 STRUCTURAL ANALYSIS-I (Civil Engineering) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ⋆⋆⋆⋆⋆ 1. Draw the bending moment and shear force diagram of a propped cantilever beam of span 6m due to a point load of 6 kN at the mid span. [16] 2. Find the fixed end moments for a fixed beam of span 6 m subjected to a concentrated clockwise moment of 10 kNm at 2.5 m from the left end. [16] 3. A beam ABC 8 m long is fixed at A and simply supported at B with an overhang BC 2 m long. The beam carries a uniformly distributed load 12 kN/m on AB and a point load of 12 kN load at C. Find the support moments and support reactions. Draw the B.M.D and S.F.D. [16] 4. During loading the support B of the continuous beam shown in figure 4. Sinks by 10mm. Obtain the support moments by the slope-deflection method and sketch the B.M.D. [16]

Figure 4 5. Determine the vertical displacement of joint C of the truss. Cross sectional area of each member A= 300mm2 , E= 2× 105 N/mm2 . Solve using Castigliano’s theorem. Shown in Figure 5. [16]

Figure 5

1 of 2

Set No. 4

Code No: R05220106

6. A single rolling load of 120kN rolls along a girder of 12m span. Draw the diagrams of maximum B.M and maximum S.F (positive and negative). [16] 7. A pratt girder consists of eight panels, each 3.5m square, the loading being on the lower bottom. Draw the influence line for the force in the diagonal of the of the third panel from the left and determine the maximum tension and compression in it due to uniformly distributed load of 100kN/m, 10m long. [16] 8. (a) Cite Two examples of structures that have the same degree of static and kinematic indeterminacy. (b) Three wires AD, BD and CD having the same cross sectional area and of same material support a load W as shown in Figure 8. Determine the tensions in three wires. [6+10]

Figure 8 ⋆⋆⋆⋆⋆

2 of 2