JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD B.Tech II AEROSPACE VEHICLE STRUCTURES – I Previous Question Paper (April - 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.
Part A
Draw the Mohr’s Circle to determine stains on inclined plane
Answer
Mohr's circle for strain is a graphical representation of the strain transformation equations. The circle is plotted on a coordinate system with normal strain (ε) on the horizontal axis and half the shear strain (γ/2) on the vertical axis. The center of the circle is at ((εx + εy)/2, 0) and the radius is sqrt(((εx - εy)/2)^2 + (γxy/2)^2). Any point on the circumference represents the strain state on a plane inclined at an angle θ.
Discuss the equations for plane stress and plane strain for 2D elastic body.
Answer
For plane stress, the stress components acting out of the plane are zero (σz = τxz = τyz = 0). The constitutive relations are εx = (1/E)(σx - νσy), εy = (1/E)(σy - νσx), and γxy = τxy/G. For plane strain, the strain components out of the plane are zero (εz = γxz = γyz = 0). The stress-strain relations are modified such that σz = ν(σx + σy), and the effective elastic moduli are adjusted to account for the constrained lateral deformation.
Explain area moment method with neat sketches.
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Describe the boundary conditions for different types of beams.
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State the Winkler Constant.
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Formulate an expression for maximum stress of a curved beams.
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Define Bifurcation Point for a column with neat sketches.
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Discuss the Eigen value Problems.
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Explain Principle of Superposition with neat sketches.
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Formulate the Bredt-Batho equation for thin walled beams.
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Part B
The direct tensile and compressive stress is 60N/mm2 and 40N/mm2 respectively are applied on planes at right angles to each other. If the maximum principal stress is limited to 75N/mm2 (tensile), determine the shear stress that may be allowed on the planes. Also determine the minimum principal stress and the maximum shear stresses.
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State the compatibility equation for two-dimensional problem.
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Explain the procedure to determine the strains on a inclined plane.
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At a certain point in a strained material the intensities of normal stresses on two planes at right angles to each other are 20N/mm2 and 10N/mm2 both tensile. They are accompanied by shear stress of 10N/mm2. Calculate the principal planes and the principal stresses. Find also the maximum shear stress.
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Illustrate the Claypron’s method to determine the deflection in statically indeterminate beam.
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A simply supported beam of span ‘l’ is subjected to uniformly distributed load ‘W’ kN/m throughout the beam. Calculate the maximum slope and deflection.
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Calculate the maximum bending moment and the maximum deflection of a railroad. Rail is subjected to a single wheel load of 150 kN The elastic support for the rail has a spring constant of k=14 MN/m2. The moment of inertia of rail is 3700 × 10-8 m4, E=200GPa. Also calculate the maximum stress in the rail assuming that the depth of the rail is 200 mm and that the distance of the centroidal axis of the cross-section of the rail from the top surface is 100 mm.
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Formulate an expression for the deflection of a continuous beam under elastic foundation.
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Discuss the effective length of column under different end conditions.
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Develop an expression for the buckling load of a column of length L and having both ends fixed subjected to compressive load ‘P’.
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Develop an expression for the crippling load of a column when its one end is fixed and the other end is free.
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Discuss the design of the short, intermediate and long columns.
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Distinguish between the monocoque and semi-monocoque structures.
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Using Principle of virtual work method, Calculate reactions at the supports of the simply supported beam subjected to point load at the center.
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Describe the Rayleigh Ritz method used in the analysis of beams.
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Write a short note on Single and multi-cell closed box structures.
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