JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

UNIT - I

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 Stresses and Strains on arbitrary planes and transformations. Concept of principal planes, stress and Strains, Construction of Mohr’s circle.

UNIT - II

Redundant Structures: Indeterminate structures and order of redundancy, Introduction to redundant analysis, - Clapeyrons method, Moment distribution method Use of free body diagrams to explain compatibility and redundant analysis principles. Singularity method for uniform beams with various boundary and support conditions (props, hinges and fixities) subjected to distributed / discrete loads (including moments).

UNIT - III

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 - IV

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 - V

Energy Principles And shear Flow In Closed Sections: 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.The displacement method (Rayleigh Ritz method). Direct application of energy principles to beams and trusses. Bredt-Batho formula. Single and multi-cell closed box structures. Semi monocoque and moncoque structures. Shear flow in single and multi cell monocoque and semi monocoque box beams subject to torsion.

TEXT BOOKS:

• 1. Megson THG, “Aircraft Structures for Engineering students”, Edward Arnold Publication. JNTUH HYDERABAD B.TECH AERONAUTICAL ENGINEERING
• 2. David J. Peery” Aircraft Structures” McGraw-HILL Book Company REFRENCES:
• 1. Aircraft structures by G. Lakshmi Narasaiah, B. S. Publications.
• 2. B. C. Punmia, “Theory of Structures”, Laxmi Publication.
• 3. Timoshenko S. P. and J.N. Goodier, “Theory of Elasticity McGraw Hill Book Co.
• 4. Structural Analysis by OA. Bauchauji, Craig - Springer Publications.
• 5. David J. Peery” Aircraft Structures” McGraw-HILL Book Company
• 6. Argyris J. H. and Kelsey S. Energy theorems and structural analysis, Butterworth’s Scientific Publications. 1960
• 7. Donaldson, B. K. Analysis of Aircraft Structures-An introduction “McGraw Hill.
• 8. David H. Allen, and Walter E. Haiseler Introduction to Aeronautical Structure Analysis, John Wiley & Son, 1985.