CH3302 Mechanics of Solids Syllabus:

CH3302 Mechanics of Solids Syllabus – Anna University Regulation 2021

COURSE OBJECTIVES:

 To impart knowledge on designing the support column, beams, pipelines, storage tanks and reaction columns and tanks after undergoing this course. This is precursor for the study on process equipment design and drawing.

UNIT I STRESS, STRAINAND DEFORMATION OF SOLIDS

Rigid bodies and deformable solids – forces on solids and supports – equilibrium and stability – strength and stiffness – tension, compression and shear stresses – Hooke’s law and simple problems – compound bars – thermal stresses – elastic constants and poission’s ratio.

UNIT II TRANSVERSE LOADING ON BEAMS

Beams –support conditions–types of Beams –transverse loading on beams–shear force and bending moment in beams–analysis of can tilevers, simply – supported beams and over hanging beams – relationships between loading, S.F. and B.M.Inbeams and their applications– S.F.& B.M. diagrams.

UNIT III DEFLECTIONS OF BEAMS

Double integration method – Macaulay’s method –Area – moment theorems for computation of slopes and deflections in beams.

UNIT IV STRESSES IN BEAMS

Theory of simple bending – assumptions and derivation of bending equation (M/I=F/Y=E/R)– analysisofstressesinbeams–loadscarryingcapacityofbeams–proportioningbeam sections – leaf springs – flitched beams – shear stress distribution in beams – determination of shear stress in flanged beams.

UNIT V TORSIONAND COLUMNS

Torsion of circular shafts – derivation of torsion equation (T/J = fs/R = Cθ/L) – stress and deformation in circular and hollow shafts – stresses and deformation in circular and hollow shafts– stepped shafts – shafts fixed at both ends– stresses inhelical springs–deflection of springs–spring constant. Axially loaded short columns–columns of unsymmetrical sections– Euler’s theory of long columns – critical loads for prismatic columns with different end conditions – effect of eccentricity.

TOTAL: 45 PERIODS

COURSE OUTCOMES:

 Upon completion of the course, the students would be able to
 Understand the basic concepts of stress, strain and deformation of solids
 Understand the concept of transverse loading on statistically deterministic beams and its
 Understand the concept of slope and deflection in beams through Double Integration,
 Understand the stress distribution concept like bending and shear stresses in beams and leaf springs
 Understand the stress and deformation in shafts, analysis of columns by Euler’s theory and effect of eccentricity.

TEXT BOOKS:

1. Junarkar, S. B., Mechanics of Structure Vol.1, 21st Edition, Character Publishing House, Anand, Indian, (1995).
2. William A.Nash, Theory and Problems of Strength of Materials, Schaum’s Outline Series.
3. McGraw Hill International Editions, Third Edition, 1994.
4. Bansal, R.K, Strength of Materials, Laxmi Publications(P) Ltd., Fourth Edition 2010

REFERENCE:

1. Elangovan A. ,Thinma VisaiIyal (Mechanics of Solids in Tamil), Anna University, Madras, 1995.