JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD B.Tech II Year STRUCTURAL ANALYSIS Previous Question Paper (December - 2018 - R16)
Answer any five questions. All questions carry equal marks.
PART A
(25 Marks)
Differentiate between Kinematic indeterminacy and static indeterminacy.
Answer
Static indeterminacy is the number of unknown forces that cannot be determined using the equations of static equilibrium. Kinematic indeterminacy is the number of independent joint displacements (degrees of freedom) required to define the deformed shape of the structure.
A propped cantilever beam of span ‘l’ is carrying an udl of intensity ‘w’ throughout its span. What is the vertical reaction at fixed support? EI=constant.
Answer
For a propped cantilever of span l with a uniform distributed load w, the vertical reaction at the fixed support (R_A) is calculated by considering the compatibility condition at the prop. The reaction at the prop is 3wl/8. By equilibrium, the sum of vertical forces is R_A + R_B = wl. Therefore, R_A = wl - 3wl/8 = 5wl/8.
Explain the differences between pin jointed frame and rigid jointed frame.
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Explain in brief about imperfect, perfect and redundant pin jointed frames with suitable sketches.
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Explain Eddy’s theorem and how it is useful for analysis of arches.
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Compare three hinged arches and two hinged arches with suitable examples.
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Is the Slope–Deflection method is applicable for statically determinate beams. If not why?
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Why sway correction is required when we analyse un-symmetrical frames? Give reasons.
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State and explain Muller Breslau’s principle for determinate and indeterminate beams.
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Name the type of rolling loads for which the absolute maximum bending moment occurs at the mid span of a beam.
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PART B
(50 Marks)
A Fixed beam AB of span 6.0m carries point loads 150KN and 200KN as shown in Figure1. If the left and the right supports sink by 15mm and 7mm respectively, find the fixing moments at the supports. Find also the reactions at supports. Draw also the BMD for the beam. Take EI=6000KN-m2.
Answer
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Analyse the propped cantilever shown in figure 2, Take EI=6000KN-m2.
Support A rotates by 0.01radians only
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Support B sinks by 1cm.
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Use the method of sections to determine the force induced in members DF, EF, and EG of the Howe truss shown in Figure 3.
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Using method of joints analyse the truss shown in figure 4.
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A three hinged circular arch of span 16m and rise 4m is subjected to two point loads of 100 kN and 80 kN at the left and right quarter span points respectively. Find the reactions at supports. Find also the bending moment, radial shear and normal thrust at 6m from left support.
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Derive the expression for strain energy and find deflection.
Derive the expression for strain energy stored in the bar due to axial load ‘P’.
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Find the vertical deflection at ‘C’ of a cantilever truss shown in Figure 5.
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Analyse the continuous beam loaded as shown in Figure 6, by Slope-Deflection Method. Support B sinks by 10mm.Take E=2×105N/mm2, I=16×107 mm4. Sketch the BMD and SFD’S.
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A continuous beam ABCD 18.0m long is loaded as shown Figure 7. During loading support ‘B’ sinks by 1cm. Find the support moments and reactions, Draw also SFD & BMD, using Moment distribution method. Take E=2×105N/mm2, I=8×106mm4.
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The load system as shown Figure 8 crosses a beam simply supported over a span of 24m. Determine:
The Max. B.M and S.F at a point 8m from the left hand end,
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Max. B.M under 25KN load.
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Calculate Max shear force and bending moment for moving loads.
An uniform load of 2000N/m, 5m long crosses a girder of 20m span from left to right. Calculate the Max.Shear force and bending moment at a section 8m from left hand support.
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A train of 4 concentrated loads crosses a simply supported girder of 18m span with 30KN leading. Determine the Max.bending moment at 6m from the left support and Absolute Max.B.M anywhere in the girder.
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