JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD B. Tech III STRUCTURAL ANALYSIS - II Previous Question Paper (January/ February - 2023 - R18)
Note: i) Question paper consists of Part A, Part B. ii) Part A is compulsory, which carries 25 marks. In Part A, Answer all questions. iii) In Part B, Answer any one question from each unit. Each question carries 10 marks and may have a, b as sub questions.
Part A
(25 Marks)
Write the expression for Radial shear at any section of a Two hinged parabolic arch.
Answer
The radial shear Fr at any section of a two-hinged parabolic arch is given by the expression:
where H is the horizontal thrust, V is the vertical shear force at the section, and θ is the angle of the tangent to the arch axis with the horizontal at that section.
Define the terms ‘rotational stiffness’, ‘distribution factor’ and ‘carry over factor’, used in the Moment Distribution Method.
Answer
Rotational stiffness is the moment required to produce a unit rotation at a joint when the far end is fixed. The distribution factor represents the proportion of an unbalanced moment at a joint that is distributed to a specific member connected to that joint, calculated as the ratio of the member's stiffness to the sum of the stiffnesses of all members meeting at that joint. The carry over factor is the ratio of the moment induced at the far end of a member to the moment applied at the near end, which is 0.5 for a prismatic member with a fixed far end.
What is meant by ‘Rotational Factor’ in Kani’s method? What is it’s value at a fixed end?
Answer
Sign in to view the complete answer paper.
What is a Suspension bridge? What are it’s components?
Answer
Sign in to view the complete answer paper.
List the advantages of ‘approximate methods’ of analysis.
Answer
Sign in to view the complete answer paper.
What are the assumptions made in the ‘Cantilever Method’?
Answer
Sign in to view the complete answer paper.
Define the term ‘Stiffness’ of a structure.
Answer
Sign in to view the complete answer paper.
Define ‘Flexibility Coefficient’. What is the relation between ‘Flexibility Matrix’ and ‘Stiffness Matrix’?
Answer
Sign in to view the complete answer paper.
Define the term ‘Influence Line’.
Answer
Sign in to view the complete answer paper.
State Muller Breslau’s principle.
Answer
Sign in to view the complete answer paper.
Part B
(50 Marks)
A two hinged parabolic arch of 28 m span and central rise of 4 m. It carries an udl of 25 kN/m over the right half of the span and concentrated load of 160 kN at the crown. Locate and find the magnitude of maximum bending moment. Also find the shear force and normal thrust at quarter span section from the left support. Assume that moment of inertia at a section varies as secant of the slope. Neglect the effect of rib shortening.
Answer
Sign in to view the complete answer paper.
Analyse the portal frame shown in figure 1, using Moment-distribution method. Draw bending moment diagram and elastic curve.
Answer
Sign in to view the complete answer paper.
Analyse the frame shown in the figure 2 using Kani’s method. Assume moment of inertia for the beams as 1.4I. Draw BMD and elastic curve.
Answer
Sign in to view the complete answer paper.
A cable is suspended from two points A and B which are 100 m apart. The point A is 4 m below the point B. The lowest point on the cable is 10 m below the point A. The cable supports an udl of 15 kN/m over its entire span. Calculate (a) the reactions at the supports A and B and (b) the maximum tension in the cable.
Answer
Sign in to view the complete answer paper.
Calculate the moment at mid-span BC for portal frame shown in figure 3, if it is loaded with live loads on the spans AB and CD, in addition to the dead load. Use Substitute Frame Method. Dead load = 15 kN/m and Live load = 25 kN/m.
Answer
Sign in to view the complete answer paper.
Analyse the frame shown in figure 4, using Portal method. Draw the bending moment diagram and sketch elastic curve. Cross-sectional area of all columns is equal.
Answer
Sign in to view the complete answer paper.
Analyse the continuous beam shown in the figure 5 using Stiffness Method. Draw shear force and bending moment diagrams. Also draw Elastic curve.
Answer
Sign in to view the complete answer paper.
Analyse the continuous beam shown in the figure 6 using Flexibility Method. Draw shear force and bending moment diagrams. Assume constant EI throughout the beam. Also draw Elastic curve.
Answer
Sign in to view the complete answer paper.
Draw the influence for reaction at the middle support. Compute the ordinates at 2 m intervals (figure 7).
Answer
Sign in to view the complete answer paper.
Draw the influence diagram for the middle support moment MB and determine its value (figure 8).
Answer
Sign in to view the complete answer paper.