Influence line for determinate and indetermin

2 MARKS 1. Distinguish between determinate and indeterminate structures. 2. What is an influence line? Discuss its applications. 3. Explain how Muller Breaslar principle can be used for drawing influence line. 4. Draw the ILD for reaction at support for simply supported beam. 5. Explain Absolute maximum bending moment in a beam. 6. A load of 150kN crosses a simply supported beam of 20m span. Find the value of maximum positive shear force at a section 8m from left support 7. Explain how Muller Breaslar principle can be used for drawing influence line. 8. Name the beams can analysis by Muller Breaslar principle? 9. List the uses of influence line in structures. 10. Sketch the influence line diagram for shear force at a section X on a fixed beam. 13 MARKS 1. A single rolling load of 100kN moves on a girder of span 20m. (A) Construct the influence line for S.F and B.M for a section 5m from the left support. (B) Construct the influence line for points at which the absolute maximum shears and absolute maximum bending moment develop. Determine this maximum value. 2. A train of 5 wheel loads crosses a simply supported beam of span 22.5m.using influence lines, calculate the maximum positive and negative shear force at midspan and absolute maximum bending moment at anywhere in the span. (Refer figure in class notes) 3. Draw the ILD for shear force and bending moment for a section at 5m from the left hand support of a simply supported beam, 20m long. Hence calculate the maximum bending moment and shear force at the section, due to an uniformly distributed rolling load of length 8m and intensity 10kN/m run. 4. Two point loads of 100kN and 200kN spaced 3m apart cross a girder of span 15m from left to right with the 100kN load leading. Draw the influence line for shear force and bending moment and find the value of maximum shear force and bending moment at a section D, 6m from the left hand support. 5. Draw the IL for support moment MA at A and reaction at B for the propped cantilever in Figure. Compute the IL ordinates at 1.5m intervals. (Refer figure in class notes) 6. Determine the influence line for RA for the continuous beam shown in figure. Compute the IL ordinates at 1m intervals. (Refer figure in class notes) 7. Determine the influence line for the reaction at the middle support B of continuous beam shown in figure. Compute the IL ordinates at 1m intervals. (Refer figure in class notes) 8. An udl of 20 kN/m distributed rolling load of 6m and crosses the girder of span 30m.calculate the maximum S.F and B.M at a section of 10m from LHS. 9. Two point loads of 160kN and 400kN spaced 2m apart with the lead of 160kN moves on a simply supported beam girder of span 16m.find the maximum positive and negative S.F at a section 4m from the left support. 10. A live load of 50 KN per m 8m long moves on a Simply supported girder of span 10m.Find the maximum bending moment which can occur at a section 4m from the left end. 11. A uniformly distributed line load 60kN per meter run of length 5 meters on a girder of span 16 meters. What is the maximum positive shear force at a section 6m from the left end? (Hind: UDL shorter than the span, Load x Area of ILD under load). 12. A UDL of 50kN per meter run of length 8 meters on a girder of span 15 meters. What is the maximum negative shear force at a section 5m from the left end? (Hind UDL longer then the span, Load x Area of ILD under load). 13. Determine the absolute bending moment in a simply supported beam of span 10m due to a moving load of 40kN/m spanning over 5m.