Question

The cantilever, shown, has a steel core bonded to a wood casing. If a concentrated load 25 kN is applied at its end, determine the maximum bending stress in the cantilever. Ew = 12 GPa, Es = 200 GPa.

25 kN 3.00 m 200 mm 200 mm Steel 500 mm Wood 500 mm Cross-section of the cantilever

Answer 1

4 > 3m VA (BMD) NA =25KN B 3m A EM=0 75 kNm 25(3)-MA =0 MA = 75 KN-m this doesn't w we know, bending stress, f = my depend T- Soo(500) 4 5210833x 10 mm 12 = 52.0833 x 10-4 my 500 =250mm = 0.25m 2 Imaxe (for fron) &max= Iman = 36*105 N/m2 6x10 75x10² x 0.25 52.0833 x 10-4 N/m2 (16- 10% when -4 fmox Gla