A belt driven shaft with two support bearings and two pulleys and belts at various locations on the shaft with various tensions on the two pulleys is shown below. [a]. Construct load, shear and bending moment diagrams for the shaft in both the horizontal and vertical planes, [b]. Develop an expression for the resultant bending moment on the shaft segment between the left pulley (location B) and the right bearing (location C). [c]. Find the location and magnitude of the minimum value of the resultant bending moment on the shaft segment BC. [d]. Calculate the torque in the shaft segment between the two pulleys. [e]. If the shaft is to be made of hot-rolled 1020 steel (Sut = 55 Kpsi and endurance limit S = 33 Kpsi) is to rotate at 1200 rpm, and a design factor of safety of 1.7 what diameter would be required to provide infinite life as per Goodman failure criterion. Assume an effective (i.e., combined) Marin factor of 0.85 (i.e., S=0.85 S). lest bearing A Horizontal 7200N T=380mm -450 mm 450 B FB = =900 N 2700 N C 6750N Right bearing FD=900N 2250N 225mm Z sy Hint: For part [c], once you have the bending moment diagrams in the horizontal and vertical planes, express (MH)- and (Mv)B-C in the shaft segment BC as a function of distance variable q from point C towards B as two separate equations. The resultant moment (MR)B-C, expressed by will then become a function of q. By minimizing (MR)B-C using 71/2 2 (MR) B-C-[(MH)B-C +(Mv)-c], = d (MR)B-C = 0, one can obtain (9)MR,min dq (MR)B-C value. value to the left of location C and the corresponding 4