Question

Required information A steel bar (E_s = 210 GPa) and an aluminum bar (Ea= 70 GPa) are bonded together to form the composite bar shown. 

Determine the maximum stress in aluminum when the bar is bent about a horizontal axis, with M= 58 N.m. 

The maximum stress in aluminum is _______  MPa.

Answer 1

8mm - Steel 8 mm 1 8 mm Aluminum 24 mm Es = 210 G Pa ļ Eal = 70 Gpa Consider Aluminium as the reference material - hal = 1 hst = Eslea = 21046 = 3 . Find the centroid of the transformed section : Tomm | nato (mm3) A mm² | ha mm² 192 192 768 128 128 1536 192 2304 Ena = 512 - Ehayo = 4608 mm3 .= Enayo - 4608 => = 9mm EhA 512

Moment of inentia ? - I= I, + Izt I3 | Cohee , L = h bỏ + h , dº = 1 (24) (8)3 + (192)(s) = 5,824 x103 mma Iz = 2 (16) (8)3 + (128)(3)2 = 1183467 x 103 mma Iz = 3 (8)(8)3 + (192) (3)2 = 2.752 x103 mmt ai I =(5-824 +1-83467 + 2-752) x103 = 10-4106 xlommt The maximum streas in the aluminum o - - n MY = - {x 58 x (-0.003) 10.4106xlog can = 50.141 MPa

Answer 2

Answer 3

[REMOVED]