(4) Ex/CON/T/314/42/SL7/2014 PART - III (12.5x2=25) Answer any two questions. 6. A. Fixed parabolic symmetric Arch of span 24m and central rise 4m. Find the reaction at the support when the arch is subjected to a load of 220KN acting at a distance of 6m from the left support. Determine the moment under the load and at the crown. 7. A three hinged circular arch hinged at the springing and crown points has a span of 30m and central rise 6m. It carries a uniformly distributed load of 25KN/m over the left half of the span together with a concentrated load of 80KN at the right quarter span point. Find the reactions at the supports normal thrust and shear at a section 10m from the left support. 8. What do you mean by two hinged arch and find the expression for find out the horizontal thrust of a two hinged arch. Determine the horizontal thrust developed in a semicircular arch radius R Subjected to a concentrated load W at the crown. –––– X ––– BACHELOR OF CONSTRUCTION ENGG. EXAMINATION, 2014 (3rd Year, 1st Semester) Theory of Structure - II Time : Three hours. Full Marks : 100 Use a separate Answer-Script for each part. Answer to the questions should be given in a SERIAL manner with all parts of the same question written together. This should be STRICTLY ADHERED to. Please use a FRESH page while answering a NEW question or any part of a new question. PART - I (25 marks) Answer any one questions. 1. (a) Plot the ordinates of the ‘Influence Line Diagram’ at 2.0 M intervals for ‘Normal Thrust’ and ‘Shear Force’ for a Two Hinghed Parabolic Arch of span 14.0 M and crown height 5.0 M. (b) Define the concept ‘Influence Line Diagram’. 22+3=25 2. (a) A load train consisting of 4 point loads– 4.0, 5.0 , 5.0 and 5.0kN separated by a distance of 2.0, 3.0 and 3.0M from left to right is approaching a bridge girder spanning 20.0M and supported on two abutments at the same level from left to right. Determine the Maximum Bending Moment encountered. Plot the Shear Force in this situation. (Turn Over) (2) (b) State and prove ‘Maxwell’s Reciprocal Theorem’. 18+7=25 PART - II (50 marks) Answer any two questions. Assume suitable data not provided (3) 4. Calculate the sway by slope-deflection method and draw the final bending moment diagram of the frame as shown in fig.-2. The moment of intertia of beam BC and columns AB & DC are as follows. Ib = 20000 cm4; IC = 10000cm4. E = 2.1x 105 MPa for all members. 25 3. Evaluate the horizontal and vertical components of deflection of the free end S of the truss as shown in fig.-1 by matrix method of analysis. Calculate also the member forces of RS & QS of the same truss. 5. Analyse the continuous beam as shown in fig.3 by moment distribution method and draw the final bending moment and shear force diagram. E = 2.5 x 104 MPa. The depth of beams PQ, QR, RS and ST are 300mm, 600mm, 400mm and 350mm respectively. The width of all the beams are 250mm. 25 All the truss members are made of Single 100 x 100 x 10 Angle having Cross sectional areas of 19cm2. The modulus of Elasticity E = 2.1x 105 MPa for all members. 25 (Turn Over)