Civil and Environmental Engineering 2202A/B Lecture Notes - Lecture 5: Angular Velocity, Statically Indeterminate

• School: Western University
• Department: Civil and Environmental Engineering
• Course: Civil and Environmental Engineering 2202A/B
• Professor: Dr. M.L. Nehdi

Document Summary

He grabbed a thing he"d built at home and demonstrated an example. He"d built a thing with two circles on one end with a cross-section of material in between (demonstrated by two sheets of paper). In this example, he twisted one side of a circular shaft and showed how the paper separated. The angle created at the top, he called gamma. The angle at the back of the end, he called phi. These a(cid:374)gles are related (cid:271)(cid:455) = (cid:652) (cid:894) /(cid:272)(cid:895) max. Max is the max top angle before the material breaks (cid:652) is the de(cid:374)sit(cid:455) of the (cid:373)aterial. Is the fro(cid:374)t (cid:448)ie(cid:449) a(cid:374)gle c is the outer radius. The further you go from the center, the higher the stress is. Well, to find the answer, we must thing. Shear (becuase the cross sections would be pulling each other different ways)! The surfaces have the maximum shear stress and the middle has 0 shear stress. "