JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

Course Objectives:

• Understand various aspects of mechanics of materials as applied to engineering problems in a systematic manner stressing the fundamentals.
• Analyze problems on thermal stresses, shear force, bending moment and deflection of beams
• Discuss the equilibrium and compatibility conditions for two-dimensional and three- dimensional elastic bodies.

Course Outcomes:

• Describe the types of loads , materials and properties of aircraft structures
• Calculate the response of statically determinate and indeterminate structures under various loading conditions
• Apply the theories of elasticity to predict failure of aircraft structures.

UNIT - I

Introduction: Mechanical properties of materials; Stresses and strains; Hooke‘s law, elastic constant, relation between modulii, working stress, factor of safety, poisons ratio ; bars of varying cross section; Thermal stresses. Torsion of solid and hollow circular shafts and shear stress variations; Power transmission in shafts; Shear force and bending moment diagrams for different types of beams with various loads.

UNIT - II

Stresses in Beams: Bending stresses and Shear stress variation in beams of symmetric and un- symmetric sections; Beams of uniform strength; Flexural stresses: Bending equations, calculation of bending stresses for different sections of beams like I, L, T, C, angle section.

UNIT - III

Beams and Columns: Deflection of beams by Double integration method, Macaulay‘s method, moment area method, conjugate beam method; Principle of superposition. Columns, types of columns, Euler‘s formula instability of columns, Rakine‘s and Jonson‘s formula, Eigen values and Eigen modes, concept of beam-column.

UNIT - IV

Redundant Structures: Trusses, perfect frames, analysis of trusses; Determinate and indeterminate structures, order of redundancy; Redundant analysis, analysis of determinate structures, area movement method, Clayperons method, slope deflection method, moment distribution method.

UNIT - V

Theory of Elastisity: Equilibrium and compatibility conditions and constitute relations for elastic solid and plane: generalized plane strain cases Airy‘s stress function Stress on inclined planes, stress transformations determination of principal stresses and strains by analytical method and graphical method - Mohr‘s circles and its constructions.

Text Books:

• 1. R. K Bansal, ―Strength of Materialsǁ, Laxmi publications, 5th Edition, 2012.
• 2. T. H. G. Megson, ―Aircraft Structures for Engineering Studentsǁ, Butterworth-Heinemann Ltd, 5th Edition, 2012.
• 3. Gere, Timoshenko, ―Mechanics of Materialsǁ, McGraw Hill, 3rd Edition, 1993. R18 B.TECH. AERONAUTICAL ENGG.

Reference Books:

• 1. Dym, C. L, Shames, I. H, ―Solid Mechanicsǁ, McGraw Hill, Kogakusha, Tokyo, 7th Edition, 2007.
• 2. Stephen Timoshenko, ―Strength of Materialsǁ, Vol I & II, CBS Publishers and Distributors, 3rd Edition, 2004.
• 3. R. K. Rajput, ―Strength of Materialsǁ, S. Chand and Co., 1st Edition, 1999.
• 4. Timoshenko, S, Young, D. H. ―Elements of Strength of Materialsǁ, T. Van Nostrand Co. Inc., Princeton N.J, 4th Edition, 1977. R18 B.TECH. AERONAUTICAL ENGG.