JNTU
JNTU B.Tech II AEROSPACE VEHICLE STRUCTURES I Previous Question Paper (December - 2018 - R13)
Note: This question paper contains two parts A and B. Part A is compulsory which carries 25 marks. Answer all questions in Part A. Part B consists of 5 Units. Answer any one full question from each unit. Each question carries 10 marks and may have a, b, c as sub questions.
Part A
Define body forces and make a note of their relation with hydrostatic Pressure.
Answer
Body forces are forces that act throughout the volume of a body, such as gravity, magnetic, or inertial forces. They are proportional to the mass or volume of the element. In the context of hydrostatic pressure, body forces are balanced by the pressure gradient, expressed as the equilibrium condition:
Define bulk modulus or modulus of volume expansion.
Answer
The bulk modulus (K) is a measure of a substance's resistance to uniform compression. It is defined as the ratio of the infinitesimal pressure increase to the resulting relative decrease of the volume. Mathematically:
Write redundant analysis principles.
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Distinguish between determinate and indeterminate structures.
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Define critical load of a long slender column.
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Write the four functions for infinite beam.
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Define slenderness ratio.
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Compare strut and boom. Mention their uses.
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State Maxwell’s reciprocal theorem.
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Differentiate monocoque and semi monocoque structures.
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Part B
At a particular point in a structural member a two-dimensional stress system exists where σx = 60 N/mm, σy = -40 N/mm and τxy = 50 N/mm2. If Young’s modulus E = 200000 N/mm2 and Poisson's ratio ν = 0.3. Calculate the direct strain in the x and y directions and the shear strain at the point. Also calculate the principal strains at the point and their inclination to the plane on which σx acts. Verify your answer using a graphical method.
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Calculate major principal stress and minor principal stress for σx, σy and τxy. Use the values of major and minor principal stresses to calculate maximum shear stress.
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A simply supported beam span ‘l’ is subjected to uniformly distributed load ‘W’ kN/m throughout the beam. Solve for maximum slope and deflection.
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Determine the end slope and deflection of the mid-point C in the beam shown in Figure 1 using moment area method.
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Determine the reactions on the beam in Figure 2. Assume A is a pin and the support at B is a roller (smooth surface).
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Determine the reactions on the beam shown in the Figure 3.
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A semi-infinite beam on elastic foundation is subjected to a concentrated load at the middle of the beam. Derive the expressions for slope, deflection, bending moment and shear force and sketch their variations along the beam.
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A simply supported beam of span l carries a uniformly distributed load for a distance l/2 from one support. Find the deflection at the centre.
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A beam of length l fixed at one end is propped at the other end. If the beam carries a uniformly distributed load of w per unit run and the prop yields down by λ per unit load on it. Find the actual deflection of the propped end.
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A strut of length l is encastered at its lower end. Its upper end is elastically supported against lateral deflection so that the resisting force is K times the end deflection. Show that the crippling load P is given by:
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A column of length l m has the cross-section shown in Figure 4. If the ends of the column are pinned and free to warp, calculate its buckling load. Consider E=70000 N/mm2, G = 30000 N/mm2.
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The beam section shown in Figure 5 is subjected to a bending moment in a vertical plane of 20 kN-m. Calculate the maximum direct stress in the cross-section of the beam.
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Discuss the importance of torsion of closed section beams using Bredt–Batho theory.
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“The reciprocal theorem is an exceptionally powerful method of analysis of linearly elastic structures and is accredited in turn to Maxwell, Betti and Rayleigh”. Justify the above statement.
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