In the following figure a simple gear box with various machine elements and components is presented. Shaft 2 is rotating through gears by shaft 1 which is rotating through two pulleys by an electric motor. The transmission shaft 1 stands on two beanings and the rotational speed is transfer by the belt. The two shafts are made of hot-rolled alloy steel with yield strength Oy=450-550 MPa and Outs=1200 MPa. The belt transmits 12,5 KW of power at 1600 rpm. The belt is prestressed with a ratio of 1,60. The two gears are spur gears with 20° pressure angle. The bearing distance for the shaft 1 is L1- 360mm and for the shaft 2 is 12- 200mm The output pulley has to be design for Nb= 4 number of belts. For both shaft the safety factor is SF= 2 Part A: Calculations 1. Calculate the smallest safe shaft diameter for the shaft 1 and 2. Provide a free body diagram and all necessary bending moments and torque diagrams 2 Calculate the dimensions of the keys and the keyways at shaft 1 and 2 for the two gears Determine the critical speed of rotating shaft 2
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