Question

Austin Radio 10 degrees Coco Weber Meeti. Grades for Austin Flies Down Pago < 2 > of 3 0 - 200 5 points) 2. The following machine part is subjected to loads as shown. Calculate maximum normal and shear stresses, and radius of curvature for the machine part. Also, presume that you are in industry and your boss asks you to discuss the final answers and explain whether they make sense. (E = 200 GPa) (The value of Mand F are the last two digits of your student ID number. For example, if your student ID is 904123257. M is 57 kN.m and F is 57 kN) 90 mm 20 mm Cross section of the MacBook Air

Answer 1

gomm A2 120mm O 140mm find centroid of Area + Xe = 414 +A22 AHA Yc = (40x30)X20 +90x20) «(50) (40x30) + (90x20) - 38mm.). 30 mm Y c = 114,000 31000 INA = 30x440) 3+(30x40) « (38-00)+ goxbo)? Hao xo)< (1212 HINA (CA) = 160000 +3818800+ 610000 +25,9 200 12 ICA = 86,8000 mm Mo K 4000 IF A is the most uitically stressed LMI AM HIM TA= (Mitmay & MI= FX40 cm = 57x10x 100 y = 38 mm. 8070A = (221810457000) x 103x38 tomax) 86,8000 0 tmax - VQ , &B= (38x30)x (19) [Arst moment of Area about NA). A My = 22,800 (Nome). M = 57x1000 in.m). - 3493.5483 (MPa).) so, Tmax = 57x10²x (38x30) X1g +Tmax= 47.4124 (MPa) 300 86, 8000

FRAMT Now from elastic auve :- K = 2 2 = 1 1 1 801 M, at a distance & from free end & M = (FXtM). 201 f= ET, H sl Radius of auratue) = ET_. at, x=400m. et - EI - = 200 x103 x 86,8000 (57x10²x0 40 + 57000) x103 79,800x103 914 = 217.5438 (mm)) & Radius of Curative is not a const aut hence not liscle since moment is varying with a o they don't make sense omax=2493.5483 (MPa) is very high