The present book collects most of the courses and seminars delivered at the
meeting entitled “ Frontiers in Number Theory, Physics and Geometry”, which
took place at the Centre de Physique des Houches in the French Alps, March 9-
21, 2003. It is divided into two volumes. Volume I contains the contributions on
three broad topics: Random matrices, Zeta functions and Dynamical systems.
The present volume contains sixteen contributions on three themes: Conformal
field theories for strings and branes, Discrete groups and automorphic forms
and finally, Hopf algebras and renormalization....
Shaft is a common and important machine element. It is a rotating member, in general, has a circular cross-section and is used to transmit power. The shaft may be hollow or solid. The shaft is supported on bearings and it rotates a set of gears or pulleys for the purpose of power transmission. The shaft is generally acted upon by bending moment, torsion and axial force. Design of shaft primarily involves in determining stresses at critical point in the shaft that is arising due to aforementioned loading....
Introduction. Material Used for Shafts. Manufacturing of Shafts. Types of Shafts. Standard Sizes of Transmission Shafts. Stresses in Shafts. Maximum Permissible Working Stresses for Transmission Shafts. Design of Shafts. Shafts Subjected to Twisting Moment Only. Shafts Subjected to Bending Moment Only. Shafts Subjected to Combined Twisting Moment and Bending Moment. Shafts Subjected to Fluctuating Loads. Shafts Subjected to Axial Load in addition to Combined Torsion and Bending Loads. Design of Shafts on the Basis of Rigidity.
The take-oﬀ manoeuvre of a vehicle was studied in Section 23.9 using a simple model where the inertia of both engine and vehicle were modelled as two ﬂywheels connected to each other by a rigid shaft and a friction clutch. This model can be made more realistic by adding the torsional compliance of the shaft, of the joints and possibly the gear wheels, as well as the rotational inertia of the various elements of the driveline. A model of the whole driveline is thus obtained, with the engine and vehicle modelled as two ﬂywheels located at its ends. However, the...