CE6402 STRENGTH OF MATERIALS Dr. P.Venkateswara Rao, Associate Professor, Dept. of Civil Engg.,SVCE Mail ID: pvenkat@svce.ac.in

CE6402 STRENGTH OF MATERIALS References: Rajput.R.K. “Strength of Materials”, S.Chand and Co, New Delhi, 2007. Egor P Popov, “Engineering Mechanics of Solids”, 2nd edition, PHI Learning Pvt. Ltd., New Delhi, 2012 Kazimi S.M.A, “Solid Mechanics”, Tata McGraw-Hill Publishing Co., New Delhi, 2003 William A .Nash, “Theory and Problems of Strength of Materials”, Schaum‟s Outline Series, Tata McGraw Hill Publishing company, 2007. Punmia B.C."Theory of Structures" (SMTS) Vol 1&II, Laxmi Publishing Pvt Ltd, New Delhi 2004. Rattan.S.S., "Strength of Materials", Tata McGraw Hill Education Pvt. Ltd., New Delhi, 2011. Ferdinand P. Beer, E. Russell Johnston Jr., John T. Dewolf, “Mechanics of Materials” McGraw-Hill, New York, 2006.

UNIT I ENERGY PRINCIPLES 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. Objective: To impart basic knowledge on strain energy calculations due to various types of loads and thereby to calculate deflection of beams and trusses using energy principles.  

UNIT I ENERGY PRINCIPLES To find deflections using energy principles 8 m 32 kN 48 kN 2 m 3 m W kN A B C D E A B C D E 20 kN 2 m 1m

UNIT II INDETERMINATE BEAMS 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. Objective: To impart the knowledge on shear force and bending moment calculations for indeterminate beams.

UNIT II INDETERMINATE BEAMS ⅆ𝑥 𝑀 𝑥 + 𝑥 1 𝑥 𝑥 2 A B C (a) (b) - ve + ve 𝑀 𝐴 𝑀 𝐶 𝑀 𝐵 (d) 𝑀 𝑥 ’ 𝑥 2 ′ 𝑥 1 ′ (c) Free B.M.D Fixed B.M.D

UNIT III COLUMNS AND CYLINDER 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. Objective: To estimate the load carrying capacity of columns and to design thick and compound cylinders.  

UNIT III COLUMNS AND CYLINDER 400 mm Pr=10 MPa fr = 150 MPa

UNIT IV STATE OF STRESS IN THREE DIMENSIONS 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. Objective: To impart knowledge on the principal stresses and planes in three dimensional stress systems and to design a member based on theories of failure.

UNIT V ADVANCED TOPICS IN BENDING OF BEAMS Unsymmetrical bending of beams of symmetrical and unsymmetrical sections – Shear Centre - curved beams – Winkler Bach formula. Objective: To estimate the stresses due to unsymmetrical bending and analysis of curved beams. O 48   18 2.4 kN Dimensions in mm 120 1 2