The two solid steel shafts shown in the figure are connected together using gear wheels. The length of the CD shaft is Lcd=2 m and the length of the AB shaft is LAB= 1.5 m. The radius of gear C is rc=45 mm and the radius of gear B is rB= 90 mm. The CD and AB shafts rotate freely in the bearings on which they are supported. Also, shaft AB is fixed at point A. Each shaft has a diameter of 20 mm and a shear modulus of G=65 GPa. When a torque of T= 450 N.m is applied to the CD shaft from the D end; a) Calculate the torsion angle on shaft AB. (Write your result in radians.) b) Calculate the total rotation (torsion angle) of the D end of the CD shaft. (Write your result in radians.)

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Design of Shafts and Shaft Components

The shaft is basically defined as the machine element that rotates, is in circular cross-section, it is majorly used to transfer the power from one part of the system to another, or from a power generating machine to a power absorbing machine. The shaft is supported on bearings and is rotated with the help of a set of gears or pulleys that are used for the power transmission. Bending moment, torsion, and an axial force act upon the shaft. Designing of shaft primarily involves determining stresses at a critical point in the shaft that is arising due to loading.