Rr220104-structural-analysis-i

Set No. 1

Code No: RR220104

II B.Tech 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 beam of span 8 m carries a uniformly distributed load of 20 kN/m run over the left half and 30 kN/m run over the right half and a concentrated load of 40 kN at the centre of the span. Calculate the fixing moments and the reactions. Draw also the B.M.D and S.F.D. Flexural rigidity is constant. [16] 3. The space frame shown in Figure 3 is pinned to supports A, B, C and D in a horizontal plane. The member EF is horizontal and 2m above the level of the supports. The loads at the joints E and F act in a horizontal plane. Find the forces in the members of the frame using the method of tension coefficients. [16]

Figure 3 4. A beam ABC 5.80 m long is fixed at A and simply supported at B(4 m from A) and free at C. It carries a point load of 5 kN at C. Analyse the beam for support reactions and draw the B.M.D and S.F.D [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] 1 of 2

Set No. 1

Code No: RR220104

Figure 5 6. A train of wheel loads as shown crosses a girder of 25m span with 120kN load leading. Wheel load (kN) : 180 160 160 120 Spacing (m) : 2 2 3 Determine the maximum B.M at a section 8m from the left end and the absolute maximum B.M on the girder. [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) What are the assumptions on which the analysis of a pin jointed plane truss are based. (b) A frame work commits of six bars of uniform cross sectional area and hinged together to form a square with tow diagonals, is suspended form one end. At the opposite corner a load of 10kN is-suspended. Calculate the forces in all the members. The diagonals act independently. Figure 8 [6+10]

Figure 8 ⋆⋆⋆⋆⋆

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Set No. 2

Code No: RR220104

II B.Tech 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 diagrams for the propped cantilever beam shown in Figure 1. [16]

Figure 1 2. Draw the bending moment and shear force diagrams for the fixed beam shown in Figure 2. [16]

Figure 2 3. The Pratt truss is loaded as shown in Figure 3. Find the forces in members AF, AC, CF, CD, DF and FG using the method of tension coefficient. [16]

Figure 3 4. Analyse the continuous beam shown in Figure 4 by Clapeyron’s theorem of three moments. Also sketch the BMD, SFD and elastic curve. [16] 1 of 2

Set No. 2

Code No: RR220104

Figure 4 5. Define Strain energy. Derive an expression for strain energy for a linear elastic system under axial load. [16] 6. Four point loads 8kN, 15kN, 15kN and 10kN have centre to centre spacing of 2m between consecutive loads traverse a girder of 25m span from left to right with 10kN leading. Calculate the maximum bending moment and shear force at 7.5m from the left support. [16] 7. A beam ABCD is simply supported at A,B,C and D and contains two internal hinges in the span BC at E and F. AB=12m, BC=16m, CD=12m BF=4m and FC=4m. Draw the influence lines for reactions at supports B and D and B.M at G where G is 5m from A. [16] 8. Analyse the frame shown in Figure 8. All the members have same cross sectional area of 20cm2 . E in same for all the members. [16]

Figure 8 ⋆⋆⋆⋆⋆

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Set No. 3

Code No: RR220104

II B.Tech 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 beam of span 5 m carries a concentrated load of 200 kN at 3 m from the left end. If the right end sinks by 10 mm, find the fixing moments at the supports. For the beam section take I = 3 x 107 mm4 and E =200 kN/mm2 . Find also the reactions at the supports. [16] 3. The pin jointed truss shown in Figure 3 is loaded with two point loads of 20kN and 10kN at the upper joints. Evaluate the forces in the members using the method of tension coefficients. [16]

Figure 3 4. Analyze the continuous beam shown in Figure 4 by Clapeyron’s theorem of three moments. Also sketch the BMD and SFD. [16]

Figure 4 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] 1 of 2

Set No. 3

Code No: RR220104

Figure 5 6. A train of wheel loads as shown crosses a girder of 25m span with 120kN load leading. Wheel load (kN) : 180 160 160 120 Spacing (m) : 2 2 3 Determine the maximum B.M at a section 8m from the left end and the absolute maximum B.M on the girder. [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. Fine the forces in the members BE and CF of the truss shown in Figure 8. The ratio of length to cross sectional area for all the members in same. [16]

Figure 8 ⋆⋆⋆⋆⋆

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Set No. 4

Code No: RR220104

II B.Tech 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 beam AB 6 m long is fixed at A and simply supported at B. The beam carries point loads 18 kN and 36 kN at distances 2m and 4 m respectively from end A. Find what couple should be applied at the end B so as to completely neutralize the moment at A. [16] 3. The Pratt truss is loaded as shown in Figure 3. Find the forces in members AF, AC, CF, CD, DF and FG using the method of tension coefficient. [16]

Figure 3 4. Analyze the continuous beam shown in Figure 4 by Clapeyron’s theorem of three moments. Also sketch the BMD and SFD. [16]

Figure 4 5. Define Strain energy. Derive an expression for strain energy for a linear elastic system under axial load. [16] 6. A Pratt truss 60m span with curved upper chord has eight panels of 7.5m each. The verticals from the left hand end to right are 0,6. 75,9.15,9.75,9.75,9.75,9.15,6.75 1 of 2

Set No. 4

Code No: RR220104

and 0 m respectively. The D.L per metre run horizontally is 25kN and the L.L is 35kN/m, its length exceeding the span. Determine the maximum forces in the top and bottom chord members of the third panel from one end. [16] 7. A warren girder of 25m span is made up of five panels of 5m each. The diagonals are inclined at 60 to the horizontal. Draw the influence line for force in the lower chord member in the second panel from the left. Hence evaluate the force in it when there is a load of 100kN at each lower joint. [16] 8. (a) What are the assumptions on which the analysis of a pin jointed plane truss are based. (b) A frame work commits of six bars of uniform cross sectional area and hinged together to form a square with tow diagonals, is suspended form one end. At the opposite corner a load of 10kN is-suspended. Calculate the forces in all the members. The diagonals act independently. Figure 8 [6+10]

Figure 8 ⋆⋆⋆⋆⋆

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