__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.