Question

WPS Office PHW6_1084513489.pdf X + 1 mguru.c... Go Premium - x O - Edit Page Protect Tools Q Click to search = Menu sony Hand Tool Select Tool to a Home Insert Comment © Play Slide Zoom Out @ 135.29% © © Fit Width B D E 1 M Page ♡ B E PDF to Word PDF to Picture Zoom In Actual Size Fit Size Clockwise Anticlockwise Rotate Previous Next Page Continuous reading Recommended tools > 2. (25 points) Consider a shaft under a torque M. The cross-section of the shaft is elliptical, and the original point of the coordinate system is right on the center of cross-section. Print (0,b) T Edit Text Edit Picture \(a,0) PDF to Word PDF to Excel PDF to PPT 0 Compress Use the stress function = m + F-1 to determine the displacement, strain and stress fields E Merge PDF Watermark A8] Document Translate 1 /1 Page -> DŐ 000 DO 135% -- - 0 + ? 4:52 PM 4/21/20204 Type here to search

Answer 1

Ang = stress function (1) = m( + -1) 22 To Gay 192 x y Stress Soy e helfricht From Hooke's low — similachy sy eie aan- And Bey = out to ao field

Displacement field Exx = 24 h = ? wu z prie ato du») x + 5: () “Van -Pt) y + f262) Sheare strain Bang = ent=0 w ti (4) + fé () = 0 As there is no rotation & Oxy=0) foly), fz (X) = 0 or constant {for simplicity tance as zero) u= 2m (32-34 ha) a { displacement v= 2 m ( 1 2 2 ~ + 2) y s field zero w