vThe purpose of analysis 1 is to determine the belt perimeter length around the sprockets driving the shredder per the center-to-center distance in requirement in Section 1d-12. Mechanical belt design length (Mott, equation 7-12, p. 252) will be used to calculate the belt length. The sprocket on the motor shaft for the shredder will be replaced with a 38 teeth synchronous sprocket that has a 2.38-inch pitch diameter. The sprocket on the shredder will be replaced with 112 teeth synchronous sprocket that has a pitch diameter of 7.018 inches. After calculation, the belt length needed for these sprockets is 75.7 inches. The sprockets can be found and TB Wood’s Sons Company and purchased from MRO Supply. (Appendix A-1 for calculations and Appendix B05 & B06 for the pulleys) 

In analysis 2, the minimum shaft torque on the shaft was calculated according to the requirement in Section 1d-14. The equation for torque used in this analysis was 12-1 on page 252 in Mott.  The torque for the motor shaft is 180 lb.-in. and a torque of 531 lb.-in. was calculated for the shaft on the shredder. (Appendix A-2) 

In analysis 3, the force in the belt was calculated to keep the crusher and shredder aligned so that it can achieve the requirement in Section 1d-5. The force was determined by using equation 12-6 on page 514 in Mott. The torque for the shaft on the motor from analysis 2 and the pitch diameter of 2.38 inches for the 38 teeth sprocket was calculated. The result of the force in belt for the shredder is 151.3 pounds. (Appendix A-3) 

The purpose of analysis 4 is to determine the belt perimeter length around the sprockets driving the shredder per the center-to-center distance in requirement in Section 1d-13. Mechanical belt design length (Mott, equation 7-12, p. 252) will be used to calculate the belt length. The sprocket on the motor shaft for the speed reducer will be replaced with a 38 teeth synchronous sprocket that has a 2.38-inch pitch diameter. The sprocket on the speed reducer will be replaced with 112 teeth synchronous sprocket that has a pitch diameter of 7.018 inches. After calculation, the belt length needed for these sprockets is 66.6 inches. The sprockets can be found and TB Wood’s Sons Company and purchased from MRO Supply. (Appendix A-4 for calculations and Appendix B07 & B08 for the pulleys) 

In analysis 5, the minimum shaft torque on the shaft was calculated according to the requirement in Section 1d-14. The equation for torque used in this analysis was 12-1 on page 252 in Mott. The torque for the motor shaft is 180 lb.-in. and a torque of 531 lb.-in. was determined for the shaft on the shredder. (Appendix A-5) 

In analysis 3, the force in the belt was calculated to keep the crusher and shredder aligned so that it can achieve the requirement in Section 1d-4. The force was determined by using equation 12-6 on page 514 in Mott. The torque for the shaft on the motor from analysis 2 and the pitch diameter of 2.38 inches for the 38 teeth sprocket was calculated. The result of the force in belt for the speed reducer is 151.3 pounds. (Appendix A-6) 

In this analysis the time needed to cut 5 inches of carbon fiber at the maximum speed is determined to satisfy the requirement of Section 1d-8. The given data is from the previous engineer’s calculations of the circumference pertaining to the cutting wheel which has a circumference of 9.42 inches. The number of rotations is calculated to get a value of 0.531 rotations. The speed of the driven sprocket for the synchronous belt is 593.2 RPMs. Time is calculated by dividing the number of rotations by the RPM of the driven sprocket and then multiplying it by 60 seconds to get a result of 0.05 seconds. (Appendix A-7) 

Analysis 8 was focused on calculating the minimum center distance for the shredder to satisfy the requirement of Section 1d-12. The belt length for the shredder was used to find the value of B which equals 244.12 inches. The value of B was then plugged into the center distance equation 7-13 in MOTT chapter 7 page 252. The result of the minimum center distance is 30.44 inches. (Appendix – A-8) 

In analysis 9 the minimum center distance for the speed reducer was calculated to satisfy the requirement of Section 1d-13. The belt length for the belt of 64.6 in. for the speed reducer was used to find the value of B which equals 204.82 inches. The value of B was then plugged into the center distance equation 7-13 in MOTT chapter 7 page 252. The result of the minimum center distance is 25.6 inches. (Appendix – A-9) 

The length of span for the shredder was calculated to meet the requirement of Section 1d-8. The span length is where the belt is unsupported. This is important because the proper belt tension can be measured from the force required to deflect the belt in the middle. This length is also beneficial to whether the belt vibrates or whips. Choking should not occur when the shredder exceeds 1’ per minute. The span length for shredder is 30.37 inches. (Appendix-10) 

The length of span for the speed reducer was calculated to meet the requirement of Section 1d-4. The belt for the speed reducer should not vibrate or whip when operating so that the crusher can accept carbon fiber. The span length for the speed reducer is 25.6 inches which is close to the center distance. (Appendix-11)