Strength of Materials

CE3491

STRENGTH OF MATERIALS

COURSE OBJECTIVES:

● To understand the concepts of stress, strain, principal stresses and principal planes.

● To study the concept of shearing force and bending moment due to external loads in determinate beams and their effect on stresses.

● To determine stresses and deformation in circular shafts and helical spring due to torsion.

● To compute slopes and deflections in determinate beams by various methods.

● To study the stresses and deformations induced in thin and thick shells.

UNIT - I

STRESS, STRAIN AND DEFORMATION OF SOLIDS

Rigid bodies and deformable solids – Tension, Compression and Shear Stresses - Deformation of simple and compound bars – Thermal stresses – Elastic constants - Volumertric strains – Stresses on inclined planes – Principal stresses and principal planes – Mohr’s circle of stress.

UNIT - II

TRANSVERSE LOADING ON BEAMS AND STRESSES IN BEAM

Beams – Types - Transverse loading on beams – Shear force and Bending moment in beams – Cantilever, Simply supported and over hanging beams. Theory of simple bending – Bending stress distribution – Load carrying capacity – Proportioning of sections – Flitched beams – Shear stress distribution.

UNIT - III

TORSION

Theory of Torsion – Stresses and Deformations in Solid and Hollow Circular Shafts – Combined bending moment and torsion of shafts - Power transmitted to shaft – Shaft in series and parallel – Closed and Open Coiled helical springs – springs in series and parallel.

UNIT - IV

DEFLECTION OF BEAMS

Elastic curve – Governing differential equation - Double integration method - Macaulay's method – Area moment method - Conjugate beam method for computation of slope and deflection of determinant beams.

UNIT - V

THIN CYLINDERS, SPHERES AND THICK CYLINDERS

Stresses in thin cylindrical shell due to internal pressure - circumferential and longitudinal stresses - Deformation in thin cylinders – Spherical shells subjected to internal pressure – Deformation in spherical shells – Thick cylinders - Lame’s theory.

TOTAL: 45 PERIODS

OUTCOMES:

At the end of the course the students would be able to

1. Understand the concepts of stress and strain in simple and compound bars, the importance of principal stresses and principal planes.

2. Understand the load transferring mechanism in beams and stress distribution due to shearing force and bending moment.

3. Apply basic equation of torsion in designing of shafts and helical springs

4. Calculate slope and deflection in beams using different methods.

5. Analyze thin and thick shells for applied pressures.

TEXT BOOK

1. Rajput R.K. “Strength of Materials (Mechanics of Solids)", S.Chand & company Ltd., New Delhi, 7^th edition, 2018.

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

REFERENCES:

1. Singh. D.K., “Strength of Materials”, Ane Books Pvt Ltd., New Delhi, 2021.

2. Egor P Popov, “Engineering Mechanics of Solids”, 2nd edition, PHI Learning Pvt. Ltd., New Delhi, 2015.

3. Beer. F.P. & Johnston. E.R. “Mechanics of Materials”, Tata McGraw Hill, 8^th Edition, New Delhi 2019.

4. 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.