Question 1

Shafts AB and CD are fixed at one end, and have gears attached on the other end. The shafts are also supported by journal bearings which allow rotation (frictionless). Determine the angle of rotation of shaft AB and CD with respect to their respective fixed ends.

Click below to show answer. X

Question 1

Question 1

Step 1:
Calculate polar moment of inerta J

Step 1:
Calculate polar moment of inerta J

Step 2:
Resolve torque at gear ends

Step 2:
Resolve torque at gear ends

Step 3:
Compatibility equation; solve for Φ_AB and Φ_CD

Step 3:
Compatibility equation; solve for Φ_AB and Φ_CD

Useful formula:

Useful formula:

Question 1

Question 1

Step 1: Calculate polar moment of inerta J Step 1: Calculate polar moment of inerta J

Step 2: Resolve torque at gear ends Step 2: Resolve torque at gear ends

Step 3: Compatibility equation; solve for ΦAB and ΦCD Step 3: Compatibility equation; solve for ΦAB and ΦCD

Useful formula: Useful formula:

Step 1:
Calculate polar moment of inerta J

Step 1:
Calculate polar moment of inerta J

Step 2:
Resolve torque at gear ends

Step 2:
Resolve torque at gear ends

Step 3:
Compatibility equation; solve for Φ_AB and Φ_CD

Step 3:
Compatibility equation; solve for Φ_AB and Φ_CD

Useful formula:

Useful formula: