CE1252 – STRENGTH OF MATERIALS
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.
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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