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JNTU 2007-2008 II YEAR I SEM. B. TECH. AE - FOUNDATIONS OF SOLID MECHANICS
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
II Year B. Tech. AE – I semester T P C
4+1* 0 4
FOUNDATIONS OF SOLID MECHANICS
UNIT I
AXIAL FORCES AND TORQUES:
Introduction to concepts of stress, strain, strain energy density at a point and Hookes law, Stress strain diagrams, resilience, elastic limit, yield point, elastic moduli and analysis of axially loaded prismatic bars. Determination of axial load diagrams. Deflections and stresses in determinate and indeterminate uniform / non –uniform / composite prismatic bars subjected to distributed & concentrated loads.
Determination torque diagrams deflections and stresses in uniform / non-uniform / composite circular cylindrical bars subjected to distributed & concentrated torsional loads.
UNIT – II
SHEAR FORCE AND BENDING MOMENT DIAGRAMS:
Definition of beam – Types of beams – Concept and conventions of shear force and bending moment – S.F and B.M diagrams for cantilever, simply supported and overhanging beams subjected to point loads, u.d.l., uniformly varying loads and their combinations – Relations among distributed load (loading), S.F and B.M diagrams and use of singularity methods.
UNIT – III
FLEXURAL STRESSES:
Theory of simple bending – Assumptions – Derivation of bending equation: M/I = f/y = E/R Neutral axis – Determination bending stresses – section modulus of rectangular and circular sections (Solid and Hollow), I,T, Angle and Channel sections –. Stress in Composite beams using equivalent width concepts and its limitations.
UNIT – IV
SHEAR STRESSES:
Derivation, formula for Shear stress distribution across various beam sections like rectangular, circular, triangular, T, Angle sections and I.
UNIT – V
DEFLECTION OF DETERMINATE BEAMS:
Assumptions of elementary theory of bending – slope, deflection and radius of curvature – Differential equation for the elastic axis of a beam – Double integration and McCauley’s methods. Determination of slope and deflection for cantilever and simply supported beams subjected to point loads, - U.D.L, Uniformly varying load. Singularity method of deflection analysis.
UNIT VI
CYLINDRICAL SHELLS
Thin Seamless cylindrical shells – derivation of formulae for longitudinal and circumferential stresses, Hoop, Longitudinal and volumetric Strain, changes in diameter and volume of thin cylinders and thin spherical shells.
UNIT VII
MODES OF JOINT FAILURE
Stresses in joints including riveted bolted and welded joint. Failure analysis of various joints. Load flow diagrams in riveted (Lap and Butt) joints with or without friction.
UNIT - VIII
UNSYMMETRIC BENDING
Stress analysis of isotropic, composite unsymmetrical beams.
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