JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

Prerequisite

Applied Mechanics, mechanics of solids

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, Normal and Tangent to contact area.

UNIT - V

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

R16 B.TECH MECHANICAL ENGG.

TEXTBOOKS:

• 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

REFERENCES:

• 1. Advanced strength of materials by Den Hortog J.P.
• 2. Theory of plates – Timoshenko.
• 3. Strength of materials & Theory of structures (Vol I & II) by B.C Punmia
• 4. Strength of materials by Sadhu singh R16 B.TECH MECHANICAL ENGG.