Question

A component experiences critical static stresses of ?x, ?y, and ?xy. The component is made of grade 30 gray cast iron with Sut = 215 MPa and Suc = 750 MPa. Determine the factor of safety based on predicting failure by the Brittle Coulomb-Mohr theory.

?x =-500 MPa        ?y =-200 MPa         ?xy =0MPa

Answer 1

Chiren datas Sut= 215 mpa Sue = 750 MPa Te = -500 mpa, dy=-200 MPa , exy = ompa principle stresses - So+(-20 og = Gohan (99)? + (Tagja *v*-****200) + (-500-4-203)2 + 0)2 Ove = -7 J(-2.00) 2 =-700 + (-30) TV2 = -70 + 2 3 da :-700430 = - 200 mpa r2 =-700-300 - svo mpa 2 - 2 According to 0 0,,82707 coulombis mour Theory {for Brittle failure? n= Sut in factor of safety 30,402 are principle Stresses. LO 5 lei 13 Sue no es 1021 oco do₂20 Hence thirot case is applicable. Sut = 215kpa Suc= 750 mp 1-5701 = $20 o 152) = factor of safety - n = sue = 750 SOD Safety one in the serie M= za = 1.5 Malis)