Jawaharlal Nehru Technological University Hyderabad
Jawaharlal Nehru Technological University Hyderabad B.Tech III ADVANCED STRUCTURAL ANALYSIS Previous Question Paper (July - 2023 - R16)
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
What is an arch? Explain.
Answer
An arch is a structural element characterized by a curved or segmental shape that spans an opening and supports loads primarily through compression. It converts vertical loads into axial thrusts, which are transferred to the supports as both vertical and horizontal reactions.
Which of the two arches, viz. circular and parabolic is preferable to carry a uniformly distributed load? Why?
Answer
A parabolic arch is preferable for a uniformly distributed load (UDL) because it follows the shape of the bending moment diagram for a simply supported beam under the same loading. Consequently, the arch experiences only axial compression with zero bending moment, making it the ideal form for such loading conditions.
How do you account for sway in slope deflection method for portal frames?
Answer
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Why slope-deflection method is called a ‘displacement method’?
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Define Rotation factor.
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What is the purpose of Kanis method of analysis?
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What is the basic aim of stiffness method?
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What is the relation between flexibility and stiffness matrix?
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What is meant by influence lines?
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List the assumptions in the ‘portal method’ of analysis.
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Part B
Find the deflection under the concentrated load, using Castigliano’s method, for the beam shown in figure 1. Assume E = 200 kN/mm2, I = 1 × 107 mm4.
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Find the vertical deflection at point C for the frame shown in figure 2 using Castigliano’s method. Assume E = 2×105 N/mm2 and I = 2×108 mm4.
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Analyse the continuous beam shown in figure 3 by slope deflection method. Draw BMD and elastic curve.
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Analyse the continuous beam shown in figure 4 by Moment Distribution method. Draw BMD and elastic curve.
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Analyse the continuous beam shown in figure 5 by kani’s method. Draw BMD and elastic curve.
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Analyze the rigid beam shown in figure 6 by Kani’s method. Draw BMD and elastic curve.
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Analyse the continuous beam shown in figure 7 by flexibility matrix method. Take EI constant throughout. Draw BMD and elastic curve.
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Analyse the continuous beam shown in figure 8 by stiffness matrix method. Draw BMD and elastic curve.
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Analse the frame shown in figure 9 by cantilever method. Draw the bending moment diagram and sketch elastic curve. Cross-sectional area of all columns is equal.
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Draw the influence for reaction at the middle support (figure 10). Compare the ordinates at 2 m intervals.
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