2. The S-N diagram of a structural material is shown below. (A) A structural member made of
this material is to be subjected to 100,000 cycles of cyclic stress of 140 MPa during its design
life. What is the maximum magnitude of an additional steady stress that can be put on top of the
cyclic load without fracture during its design life? Use (a) Soderberg's theory, and (b)
Goodman's theory for this problem. (20 pts.) (B) A structural member made of this material is to
be subjected to 50 cycles at 260 MPa, 200 cycles at 240 MPa and 800 cycles at 220 MPa per day.
Determine the number of days of service before it will fracture according to Minor's Rule. (20
pts.)
300
CYCLIC
260
STRESS
220
(MPa)
180
140
$\sigma_{yield}$ = 320 MPa
$\sigma_{ultimate}$ = 360 MPa
10 10$^1$ 10$^2$ 10$^3$ 10$^4$ 10$^5$ 10$^6$ 10$^7$
NUMBER OF CYCLES