Question

Q-1 A solid circular rod with a diameter d= 18 mm is shown in Figure Q-3. The rod is made of an aluminum alloy that has an elastic modulus E = 72 GPa and a Poisson's ratio v = 0.32. When subjected to the axial load P, the diameter of the rod decreases by 0.025 mm. For a factor of safety of 1.75, a) Determine the magnitude of the safe allowable load P. [18 pts.] b) If we have a 12 mm diameter hole theough the rod, making it a hollow member (a pipe). other things remaining the same as in part (a), determine the magnitude of load P (16 pts.] P

According to machine elements 1

Answer 1

(2) Solusions Given :- A solid circular rod 18 mm & = 726la poisson ratio (es 0.32 ។ Top Lx d=> 18 mm P 7 ca) allowable load P = ?) maximum forve. Pallow. Pmar f.o.5 fansor of safety → strain in 9 diseason (Ey :- Gy= l sa E { by = Od d B.025 18 0.00132 M .o. 0013 6 = 4 4 0.00158= (183² 72103 0.32 x P I (18)? 2 x 103 P 0.00138= 18321-768103 S7255.5268603 0.00138 = 38 433.7660 1832.764,08 x 57255.5264103 37182. 387 KN P may 31182.387 Pmay Pallowayle =) f.o.ß. 1.75 Pan. => 21 247.0 78 KN

- $ 12 mm [rsom may تیار ہے کو F.O.P. Pn Pau. A x F.o.s. Pray Pano (18-16,² $(132. fo.s P 37182.387 (12) 15 - ( 18-16,2 4 Ang P 261.71 KN