CE1252 – STRENGTH OF MATERIALS

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CE1252  –  STRENGTH OF MATERIALS
L    T     P    C
3    1      0    4

UNIT I           ENERGY PRINCIPLES                                                     9
Strain energy and strain energy density – Strain energy in traction, shear in flexure and
torsion  –  Castigliano’s  theorems  –  Principle  of  virtual  work  –  Application  of  energy
theorems  for  computing  deflections  in  beams  and  trusses  –  Maxwell’s  reciprocal
theorems.

UNIT II          INDETERMINATE BEAMS                                              9
Propped  cantilever  and  fixed  beams-fixed  end  moments  and  reactions  for  concentrated
load (central, non central), uniformly distributed load, triangular load (maximum at centre
and  maximum  at  end)  –  Theorem  of  three  moments  –  Analysis  of  continuous  beams  –
shear force and bending moment diagrams for continuous beams – Slope deflections in
continuous beams (qualitative study only)..

UNIT III        COLUMNS                         9
Eccentrically  loaded  short  columns  –  Middle  third  rule  –  Core  section  –  Columns  of
unsymmetrical  sections  –  (angle  channel  sections)  –  Euler’s  theory  of  long  columns  –
critical  loads  for  prismatic  columns  with  different  end  conditions  –  Rankine-Gordon
formula for eccentrically loaded columns – Thick cylinders – Compound cylinders.

UNIT IV        STATE OF STRESS IN THREE DIMENSIONS                       9
Spherical and deviatory components of stress tensor – Determination of principal stresses
and principal planes – Volumetric strain – Dilatation and distortion – Theories of failure
– Principal stress dilatation – Principal strain – Shear stress – Strain energy and distortion
energy theories – Application in analysis of stress, load carrying capacity and design of
members – Residual stresses.

UNIT V          ADVANCED TOPICS IN BENDING OF BEAMS                              9
Unsymmetrical bending of beams of symmetrical and unsymmetrical sections – Curved
beams – Winkler Bach formula – Stress concentration – Shear flow – Center.        
               
                                                                L: 45 T: 15 Total: 60
TEXT BOOKS
1.         Popov, E.P., “Engineering Mechanics of Solids”, Prentice Hall of India, 2003.
2.         Rajput, R.K., “Strength of Materials”, S. Chand and Company Ltd., 2006.

REFERENCES
1.        Srinath,  L.S.,  “Advanced  Mechanics  and  Solids”,  Tata-McGraw  Hill  Publishing
  Company Ltd, 2005.
2.        Punmia, B.C., “Theory of Structures (SMTS) Vol I and II”, Laxmi Publishing Pvt                
            Ltd, 2004.
3.        Kazimi, S.M.A., “Solid Mechanics”, Tata McGraw-Hill Publishing Co., 2003.
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