Unit 1

Stresses in axial members: Normal stress – St. Venant’s principle – normal strain – tension and compression test – stress and strain diagrams – factor of safety – Hooke’s law. Axial deformation – principle of superposition – lateral strain – Poisson’s ratio – shear stress and strain – shear modulus – volumetric strain – bulk modulus – relation between elastic constants. Stresses in joints – shear and bearing stresses – temperature stress and strain – stress concentration.

Unit 2

Stresses in transverse members: Isolation of beam element – intensity of load, shear force and bending moment relation – shear force and bending moment diagrams – bending stresses in transverse members – Euler – Bernoulli’ s simple beam theory – bending stress distribution – shear stresses in transverse members – shear stress distribution.

Unit 3

Deflection in transverse members: Moment-curvature relation – double-integration, Macaulay’s – conjugate beam – propped cantilever – fixed beams. Stresses in torsional members: Torsional shear stress – torsion equation for circular section – polar moment of inertia – torsional deformation – stresses due to combined loading.

Objectives

• Understand the fundamental concepts of stresses and strains and the relationship between both through the strainstress equations in order to solve problems for simple elastic solids subjected to axial, bending and torsional loads.

Course Outcomes

• CO1: Analyse the axial members for stress, strain and deformation.
• CO2: Know how to draw SF, BM, and HF Diagrams.
• CO3: Obtain stresses in beams.
• CO4: Estimate the deflection in beams.
• CO5: Analyse the torsional members for stress, strain and deformation.

CO – PO Mapping

Textbook(s)

• James M Gere, Barry J. Goodno “Mechanics of Materials”, 8th Edition, Cengage Learning, USA, 2013.

Reference(s)

• Irving H. Shames and James M. Pitarresi, “Introduction to Solid Mechanics” third edition, Prentice-Hall of India Pvt. Ltd. 2006
• Egor P. Popov, “Engineering Mechanics of Solids”, Second edition, Prentice-Hall of India Pvt. Ltd., 2004
• S. H. Crandall and N. C. Dahl, “Introduction to Mechanics of Solids”, 3^rd Edition, Tata McGraw Hill, India, 2013.
• R.C. Hibbeler “Mechanics of Materials”,8^th Edition, Pearson Prentice Hall, New Jersey, USA, 2011.

Evaluation Pattern