Question

a solid circular shaft of radius a is subjected to the combined axial load P, bending moment M, and torsional moment T shown. Assume that M = Pa/2 and T = Pa/2. The axial load is constant while the moments M and T are completely reversed cyclic (recall, completely reversed cyclic means having the same amplitude in positive and negative sense in a cycle). The material of the shaft has the yield stress of 300 MPa and endurance limit of 150 MPa.

Assuming that a=10mm calculate the value P for infinite life of the shaft with a safety factor of 3. Use Soderberg’s Relation with maximum distortional strain energy theory

2a

Answer 1

Sodeibej's equain This equakion Should be used fo design of ca omponen hen eihex Vafiable axical load () Voriable bending cnq alone more thom LHS RHS of Soder berg's equation e. s Scanned with CamScanner

JS 24, or Conn ple lel てm - σ t = 300MPa 3 00 s 73 2 MPa 3 3 Scannedwith CamScanner

bend 16 Pa 2. P 8仏 ('tv) bendg 2.P cl Constant m maturL SlheM element is oj follos 5 P Cs Scanned with CamScanner

一厂 Fos 5 P TTaV 1.92 P 드 O. 00611 P 100 П Cloo) 2 o.our 110.016p> + (o.006 llf) ニ 土 0.008 р ± o. 01006 р s) (0.01明(-0.00106?) (0.018p)+ (-0.0020 6p)- 300 100 Po 000 3653S l0o P L 5.23 K Scanned with CamScanner CS