Question

Problem 1 (33 pts) The hollow shaft of inside diameter 8 mm, outside diameter 12 mm, L - 1.2 m, and shear modulus G = 80 GPa is subjected to T. Shear stress Txy at point A located at the outside of the shaft was found to be 48.96 MPa. Find the rotation of the shaft at its free end (where T' is applied) in degrees. For a circular cross section of diameter d, the polar moment of inertia is lp = "

Answer 1

Solution ALO! lom A found Ž 1.2m Given, Length of shaft=liams 1200mm € 12mm da Inside dia= 8 min D= outside diameter = 12 min Shear modulus als pocupa Shear Stress Txy at A = 48996mpa Geven Shear Stress TAG is at outside of the shaft hence it iç the farthest paint from the centre al Shaft, hence it is max shear stress (Tomas). we know the relatiay, Here Ta Torque Applied fp = palarmor = Go - Than O= Rotation of Shaft in Radiani Z=shear stress Here r= 12 = 6thm 8= Distaare al paist from centre of shaft Tmax=48.96mpa G = 80 G Pa =poxlorpa put the values, L=12oohm =) (poxlosmalcol - 40.96 1200 0=0.1224 Radian O=(0.1229 +100 ) degree 1 = 7013 | Ang