**CE1252 STRENGTH OF MATERIALS 3 1 0 100**

**OBJECTIVE**

This subject is useful for a detailed study of forces and their effects along with some suitable protective measures for the safe working condition. This knowledge is very essential for an engineer to enable him in designing all types of structures and machines.

**1. 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

**2. 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)

**3. 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.

**4. 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 – interaction problems and interaction curves – residual stresses

**5. ADVANCED TOPICS IN BENDING OF BEAMS 9**

Unsymmetrical bending of beams of symmetrical and unsymmetrical sections – curved beams – Winkler Bach formula – stress concentration – fatigue and fracture.

**TUTORIALS 15**

**TOTAL : 60**

**TEXT BOOKS**

1. Egor P Popov, “Engineering Mechanics of Solids”, Prentice Hall of India, New Delhi, 2003

2. V.N. Vazirani, M.M.Ratwani, “Analysis of Structures”, Vol-1, Khanna Publishers, New Delhi

**REFERENCES**

1. Kazimi S.M.A, “Solid Mechanics”, Tata McGraw-Hill Publishing Co., New Delhi, 2003

2. William Nash, “Theory and Problems of Strength of Materials”, Schaum’s Outline Series, McGraw Hill International Edition

3. R.S. Khurmi, “Strength of Materials”, S. Chand & Company Ltd, New Delhi, 2003

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