A solid 1040 hot-rolled steel shaft 42 in long has a rectangular cross section of 2.5 in x 3.6 in. The shaft transmits a torque of 32 kip-in at an angular velocity of 510 rpm. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Determine the total angle of twist of the shaft. The total angle of twist of the shaft is

Please prove the answer to this exercise, the answer is already given, written in bold. Thank you

A steel shaft ABCD having a total length of 3.5 m consists of three lengths having different sections as follows: AB is hollow having outside and inside diameters of 100 mm and 62.5 mm respectively, and BC and CD are solid. BC has a diameter of 100 mm and CD has a diameter of 87.5 mm. If the angle of twist is the same for each section, Calculate the length of each section, l1, l2 and l3. Analyse the value of the applied torque and the total angle of twist, if the maximum shear stress in the hollow portion is PP MPa and shear modulus, G = QQ GPa. PP=75MPA Please refer appendix for PP and QQ values. QQ=88GPA в C D 62.5 mm 100 mm 100 mm 87.5 mm 13 3.5 m

Member ABCD is a hollow circular steel shaft with a 4 inch outer diameter and a 3 inch inner diameter. It is rigidly attached to the wall at A. Externaly applied torques are TB of 1623 lb-ft, Tc of 1668 lb-ft, and TD of 687 lb-ft. Calculate the internal torque generated in section BC of the shaft: TBC =  ___________ lb-ft.  Pay attention to units and calculate your answer to 1 decimal place.