Question

A ductile hot-rolled steel bar has a minimum yield strength in tension and compression of 350 MPa Using the distortion-energy and maximum-shear-stress theories determine the factors of safety for the following plane stress states (a) 100 MPa, a, = 100 MPa (b) ох - 50 MPa 100 MPa, 100 MPa, Ty -75 MPa (c) Ох E - 50 MPа, о, 3D - 75 МPа, т у 100 MPa, y 20 MPa, T.y -50 MPa (d) о, (е) Ох - -20 MPa

Draw the not-yielding envelope of MSS and DE theory, and then show all the load lines. Please show the yield strength data in your graph along with other data. You need to use free-hand-sketch to draw the DE based envelope.

Answer 1

wantmcwn yield stnengdh S Ginen E100 Mpa 2. JO0100 00upa, 00MPa. 1 0o-0 3 So Fos S. S

Fos OSE, fos x100 = 2 fos 3 S fos LSH4 otope -SO Mpa 100 MPa , Sst . pos : SSW Fos SO =u.g PE fos Fos .63

100Pa, 40.138, -O A40.158-0 3So MSS Fos au9 DE +l40-138 ナ FOs 2.13 (d OS -So- S 2 --62-5 5l.53g O 1033 Mpa, 10 362Mpa 9- 2, 41 L4038-0 3so MSS FOS fos 3-O69 2 \1 4- 038 41 DE Fos 3198

100MPa, - aoNpa, oo20 2 60uu.2 17 3 SO ou. 21-0 MSS' 3.342 FOS V ov.21-573104. 729 +-24-2 DE Fos Fos 3.52