Question

Determine the nominal stress and the theoretical or geometric stress concentration factor for a component geometry and loading described by Figure A-15-3.

a. F = 1,000 lbf

b. w = 1.0”

c. t = 0.25”

d. r = 1/16”

Figure A-15-3 Notched rectangular bar in tension or simple compression. FIA, where A and t is the thickness. 3.0 2.6 2.2 1.5 0.15 rid 0.25 0.30

Answer 1

"F = 1000 lbf w = 1.0"" t = 0.25"" r = 1/16 "" d = w - 2r = (1.0 - 2 times 1/16) d = 7/8 "" Nominal stress, sigma_0 = F/d times t = F/ (w - 2r) t sigma_0 = 1000/7/8"" times 1/4 = 4571.4 psi let theoretical stress concentration factor be K_t. w/d = 1/7/8 = 8/7 = 1.14 r/d = 1/16/7/8 = 1/14 = 0/071 From the given graph for w/d = 1.14 and r/d = 0.071 K_t TildeEqual 2.5 approx "