CE6402 STRENGTH OF MATERIALS LT P C 3 1 0 4
To know the method of finding slope and deflection of beams and trusses using energy theorems and to know the concept of analysing indeterminate beam
To estimate the load carrying capacity of columns, stresses due to unsymmetrical bending and various theories for failure of material.
UNIT I ENERGY PRINCIPLES (9)
Strain energy and strain energy density – strain energy due to axial load, shear, flexure and torsion – Castigliano‟s theorems – Maxwell‟s reciprocal theorems - Principle of virtual work – application of energy theorems for computing deflections in beams and trusses - Williot Mohr's Diagram.
UNIT II INDETERMINATE BEAMS (9)
Concept of Analysis - Propped cantilever and fixed beams-fixed end moments and reactions – Theorem of three moments – analysis of continuous beams – shear force and bending moment diagrams.
UNIT III COLUMNS AND CYLINDER (9)
Euler‟s theory of long columns – critical loads for prismatic columns with different end conditions; Rankine-Gordon formula for eccentrically loaded columns – Eccentrically loaded short columns – middle third rule – core section – Thick cylinders – Compound cylinders. AULibrary.com
UNIT IV STATE OF STRESS IN THREE DIMENSIONS (9)
Determination of principal stresses and principal planes – Volumetric strain –Theories of failure – Principal stress - Principal strain – shear stress – Strain energy and distortion energy theories – application in analysis of stress, load carrying capacity.
UNIT V ADVANCED TOPICS IN BENDING OF BEAMS (9)
Unsymmetrical bending of beams of symmetrical and unsymmetrical sections – Shear Centre - curved beams – Winkler Bach formula.
TOTAL (L:45+T:15): 60 PERIODS
OUTCOMES:
students will have through knowledge in analysis of indeterminate beams and use of energy method for estimating the slope and deflections of beams and trusses.
they will be in a position to assess the behaviour of columns, beams and failure of materials.
TEXT BOOKS:
1. Rajput R.K. "Strength of Materials (Mechanics of Solids)", S.Chand & company Ltd., New Delhi, 2010.
2. Egor P Popov, “Engineering Mechanics of Solids”, 2nd edition, PHI Learning Pvt. Ltd., New Delhi, 2012
REFERENCES:
1. Kazimi S.M.A, “Solid Mechanics”, Tata McGraw-Hill Publishing Co., New Delhi, 2003
2. William A .Nash, “Theory and Problems of Strength of Materials”, Schaum‟s Outline Series, Tata McGraw Hill Publishing company, 2007.
3. Punmia B.C."Theory of Structures" (SMTS) Vol 1&II, Laxmi Publishing Pvt Ltd, New Delhi 2004.
4. Rattan.S.S., "Strength of Materials", Tata McGraw Hill Education Pvt. Ltd., New Delhi, 2011.
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