Hello Please someone help me with question Im stuck in here

2 A torque of magnitude T 120 N. m is applied to shaft AB of the gear train as shown Knowing that the allowable shear stress is 75 MPa in each of the three solid shaft, and end Fis refrained from rotating, determine a. The required diameters of the shafts AB, CD and EF, and b. The rotation of End A of shaft AB Take LAB CD EF 500 mm, and G 77 GPa 30 mm 500 mm 60 mm 25 mm

Solution

solution:

1)here all shaft are subjected to torsional moment only,hence design of shaft by ASME code

2)torque is given by

Tab=F1*Rb

F1=4800 n

3)torque on gear c is given by

T2=F1*Rc

T2=288000 Nmm

4)force on gear D

T2=F2*Rd

F2=9600 N

5)torque on gear E is

T3=F2*Re

T3=720000 Nmm

6)hence diameter of shaft AB is

d=(16*T1/pi*75)^1/3

d1=20.12 mm

7)diameter of shaft CD is

d=(16*T2/pi*75)^1/3

d2=26.9422 mm

8)diametr of shaft EF is

d3=(16*T3/pi*75)^1/3

d3=36.5662 mm

9)rotation in shaft AB is

T1/J=G*angle/l

angle=120000*500*32/77000*(pi*20.12^4)=.04843 radian