Strength of Materials

CE3402

STRENGTH OF MATERIALS

COURSE OBJECTIVES:

• To learn the fundamental concepts of Stress in simple and complex states and to know the mechanism of load transfer in beams and the induced stresses due to simple bending and unsymmetrical bending and to determine the deformation in determinate beams and to know the basic concepts of analysis of indeterminate beams.

UNIT I

SIMPLE AND COMPOUND STRESSES

Stresses in simple and compound bars - Thermal stresses - Elastic constants - Thin cylindrical and spherical shells - Biaxial state of stress - Principal stresses and principal planes - Mohr's circle of stresses - Torsion on circular shafts.

UNIT II

BENDING OF BEAMS

Types of beams and transverse loadings- Shear force and bending moment for simply supported, cantilever and over-hanging beams - Theory of simple bending - Bending stress distribution - Shear stress distribution.

UNIT III

DEFLECTION OF BEAMS

Double Integration method - Macaulay's method - Area moment method - Conjugate beam method -Strain energy method for determinate beams. –

UNIT IV

INDETERMINATE BEAMS

Propped Cantilever and Fixed Beams - Fixed end moments reactions, slope and deflection for standard cases of loading Continuous beams - support reactions and moments - Theorem of three moments - Shear Force and Bending Moment Diagrams.

UNIT V

ADVANCED TOPICS

Unsymmetrical bending of beams - shear centerapplied - Thick cylinders - Theories of failure - Principal stress, principal strain, shear stress, strain energy and distortion energy theories application problems.

TOTAL: 45 PERIODS

COURSE OUTCOMES:

Students will be able to

CO1 Understand the concepts of stress and strain, principal stresses and principal planes. CO2 Determine Shear force and bending moment in beams and understand concept of theory of simple bending.

CO3 Calculate the deflection of beams by different methods and selection of method for determining slope or deflection.

CO4 Analyze propped cantilever, fixed beams and continuous beams for external loadings and support settlements.

CO5 Determine the stresses due to Unsymmetrical bending of beams, locate the shear center, and study the various theories of failure

TEXTBOOKS

1. Rajput R.K. "Strength of Materials (Mechanics of Solids)", S.Chand & company Ltd., New Delhi, 2018.

2. Rattan.S.S., "Strength of Materials", Tata McGraw Hill Education Pvt. Ltd., New Delhi, 2017.

3. Punmia B.C., Ashok Kumar Jain and Arun Kumar Jain,"Theory of Structures" (SMTS) Vol -II, Laxmi Publishing Pvt Ltd, New Delhi 2017.

4. Basavarajiah and Mahadevapa, Strength of Materials, University press, Hyderabad, 2016

5. Vazirani.V.N, Ratwani.M.M, Duggal .S.K Analysis of Structures: Analysis, Design and Detailing of Structures-Vol.1, Khanna Publishers, New Delhi 2014.

REFERENCES:

1. Kazimi S.M.A, "Solid Mechanics", Tata McGraw-Hill Publishing Co., New Delhi, 2017

2. William A.Nash, "Theory and Problems of Strength of Materials", Schaum's Outline Series, Tata McGraw Hill Publishing company, 2017.

3. Singh. D.K., Strength of Materials", Ane Books Pvt. Ltd., New Delhi, 2021

4. Egor P Popov, "Engineering Mechanics of Solids", 2nd edition, PHI Learning Pvt. Ltd., NewDelhi, 2015

5. Irwing H.Shames, James M.Pitarresi, Introduction to Solid Mechanics, Prentice Hall of India, New Delhi, 2002

6. Beer. F.P. &Johnston.E.R. "Mechanics of Materials", Tata McGraw Hill, Sixth Edition, New Delhi 2010.

7. James M.Gere., Mechanics of Materials, Thomas Canada Ltd., Canada, 2006.

8. Egor. P.Popov, Engineering Mechanics of Solids, Prentice Hall of India, Second Edition New Delhi 2015.