Q1. Hollow shaft supported between two bearings that carries a belt and pulley drive where the pulley is keyed to the shaft. Pulley is located between the bearing supports and shaft is
subjected to both torsion and bending during power transmission.
Draw the schematic diagram of the system indicating all the parts. (4 marks)
b) Write down five important mechanical properties of the shaft material. (4marks)
Neglect self weight of the beam in comparison with other active loads.
The shaft is running and transmitting power through the belt and pulley arrangement.
Analyse the system and answer to the following questions:
c) Draw the free body diagram of the shaft indicating all the forces and torsion effects.
Also perform force analysis and obtain support reactions. (4 marks)
d) Draw the shear force and bending moment diagram and obtain the maximum bending
moment (4 marks)
e) Develop method for obtaining maximum bending stress and obtain the same. (4 marks)
f) Develop the method for obtaining torsional shear stress and obtain the same (4 marks)
g) Develop the method for obtaining the deflection and obtain the maximum lateral deflection
provided the pulley is located at mid span and also obtain maximum slope. (4 marks)
h) Develop the method for obtaining the angular deflection. (4 marks)
Following data can be used for the purpose of analysis
Outer diameter of the shaft – 46 cm
Diameter ratio – 0.71
Length of the shaft – 4.2 m
Weight of the pulley – 336 N
Diameter of the pulley – 10 cm
Ratio of belt tensions – 1.1
Power transmitted – 336 Watts
Speed – 975 rpm
Shaft material –stainless steel
Distance between left bearing and pulley, L1= 3.8 m
Q2. A cantilever pin jointed frame is shown in figure with four members AB, BC, CD and BD.
Determine the magnitude and nature of forces (compressive or tensile) in the members AB,BC, BD and the external force F by a suitable method if the maximum permissible force in the member CD is 4 N .Tabulate results…