Problem 3.3-4An aluminum bar of solid circular cross section istwisted by torques Tacting at the ends (see figure). The dimensions and shear modulus of elasticity are as follows: L51.2 m, d530 mm, and G528 GPa. (a) Determine the torsional stiffness of the bar. (b) If the angle of twist of the bar is 4°, what is the maximum shear stress? What is the maximum shear strain (in radians)?Solution 3.3-4Aluminum bar in torsion186CHAPTER 3TorsionLdTTL51.2 md530 mmG528 GPaf548(a) TORSIONAL STIFFNESS(b) MAXIMUM SHEAR STRESSFrom Eq. (3-15):f5TLGIPÊT5GIPfLf5485(48)(p/180)rad50.069813radkT51860N .mkT5GIPL5Gpd432L5(28GPa)(p)(30mm)432(1.2m)From Eq. (3-11): MAXIMUM SHEAR STRAINHooke’s Law:gmax587331026radgmax5tmaxG524.43MPa28GPatmax524.4
This is the end of the preview. Sign up
access the rest of the document.
This note was uploaded on 09/20/2009 for the course COE 3001 taught by Professor Armanios during the Spring '08 term at Georgia Tech.