JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

Prerequisite

Applied Mechanics, Mechanics of solids

Course Objectives

This course is concerned with the development of analytical methods for solving

problems in mechanics of materials that are generally considered beyond the scope of basic course in the discipline.

Course outcomes: After completing this course, the student should be able to

• Determined the point of location of applied load to avoid twisting in thin sections used in aerospace applications.
• Understand the concept of distinguish between neutral and centroidal axes in curved beams.
• Understanding the analogy models developed for analyzing the non-circular bars subjected to torsion, and also analyzing the stresses developed between rolling bodies and stress in three dimensional bodies.

UNIT - I

Shear center: Bending axis and shear center-shear center for axi-symmetric and unsymmetrical sections. Unsymmetrical bending: Bending stresses in Beams subjected to Nonsymmetrical bending, Deflection of straight beams due to nonsymmetrical bending.

UNIT - II

Curved beam theory: Winkler Bach formula for circumferential stress – Limitations – Correction factors –Radial stress in curved beams – closed ring subjected to concentrated and uniform loads-stresses in chain links.

UNIT - III

Torsion: Linear elastic solution Prandtl elastic membrane (Soap-Film) Analogy; Narrow rectangular cross Section, Hollow thin wall torsion members, Multiply connected Cross Section.

UNIT - IV

Contact stresses: Introduction, problem of determining contact stresses, Assumptions on which a solution for contact stresses is based; Expressions for principal stresses; Method of computing contact stresses, Deflection of bodies in point contact; Stresses for two bodies in contact over narrow rectangular area (Line contact) Loads normal to area, Stresses for two bodies in line contact, loads normal and Tangent to contact area.

UNIT - V

Introduction to Three Dimensional Problems: Uniform stress stretching of a prismatic bar by its own weight twist of circular shafts of constant cross section, pure bending of plates.

TEXT BOOKS:

• 1. Advanced Mechanics of materials by Boresi & Sidebottom, Wiely International.
• 2. Theory of elasticity by Timoschenko S.P. and Goodier J.N. McGraw, Hill Publishers 3rd Edition

REFERENCE BOOKS:

• 1. Advanced strength of materials by Den Hortog J.P.
• 2. Theory of plates by Timoshenko.
• 3. Strength of materials & Theory of structures by B.C Punmia (Vol I & II)
• 4. Strength of materials by Sadhu singh R19 M.Tech. ENGG. DESIGN M. TECH. I Year I Sem. (ENGG. DESIGN)