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JNTU 2007-2008 III YEAR I SEM. B. TECH. AE - AEROSPACE VEHICLE STRUCTURES – I
Posted Date: 09 Dec 2007 Resource Type: Articles/Knowledge Sharing Category: Syllabus
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Posted By: Sri Member Level: Gold
Rating:  Points: 1
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JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY
HYDERABAD
III Year B. Tech. AE – I semester T P C
4+1* 0 4
AEROSPACE VEHICLE STRUCTURES – I
UNIT I
REDUNDANT STRUCTURES
Indeterminate structures and order of redundancy. Introduction to redundant analysis. Statically determinate models. Use of free body diagrams to explain compatibility and redundant analysis principles. Matrix methods of redundant analysis utilizing (a) equilibrium equations / compatibility conditions and (b) Singularity method for uniform beams with various boundary and support conditions (props, hinges and fixities) subjected to distributed / discrete loads (including moments).
UNIT II
BEAMS WITH ELASTIC SUPPORTS AND INITIAL CURVATURE:
Direct solution of beams on elastic foundation Deflection of beams with discrete elastic supports using singularity methods and modeling concepts. Equation of equilibrium for curved beam stress and deflections of a typical curved beam (Bulk Head segments on fuselages).
UNIT III
STABILITY
Stability of Structural systems, Modes of instability of columns. Euler’s formula for critical loads of column. Slenderness ratio, Effect of boundary conditions on mode shapes and critical loads. Column with initial curvature, effect of eccentricity. Long, medium and short column ranges. Rankine and Jhonson’s formulae. Eigen values and Eigen modes. Effect of intermediate supports. Concept of beam column.
UNIT IV
INTRODUCTION TO THEORY OF ELASTICITY
Equilibrium and Compatibility conditions for elastic solids. 2D elasticity equations for plane stress, plane strain and generalized plane strain cases Airy’s stress function. Simple problems in plane stress / plane strain using Cartesian and polar coordinates. Super position techniques. Examples include (a) panels subjected to a Generalized plane strain Biaxial loading (b) Uniform/Linearly varying edge loads on elastic half plane (c) Thick cylindrical shells.
UNIT V
Stresses and Strains on arbitrary planes and transformations. Concept of principal planes, stress and Strains. Construction of Mohr’s circle. Failure mechanism and fracture modes.
UNIT - VI
ENERGY PRINCIPLES AND METHODS
Introduction to energy principles and methods. Principles of Virtual Displacement and Principle of Virtual Force Castigliano’s theorems, Maxwell’s reciprocal theorem and Unit load method. Direct application of energy principles to beams and trusses.
UNIT – VII
The displacement method (Rayleigh Ritz method). Admissible functions energy and work expressions for redundant analysis of 1-D structures (rods, shafts and beams). Various 1D Structures subjected to Complex loading. Stresses, of errors and convergence.
UNIT - VIII
SHEAR FLOW IN CLOSED SECTIONS
Bredt-Batho formula. Single and multi-cell closed box structures. Semi monocoque and moncoque structures. Approximate method for box beams. Shear flow in single and multicell monocoque and semi monocoque box beams subject to torsion.
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