Unformatted text preview: ] 1 4.32 A portion of a square bar is removed by milling, so that its cross section is as
PROBLEM 432 shown. The bar is then bent about its horizontal diagonal bya couple M. Considering
the case where h = 0.9}:o , express the maximum stress in the bar in the form 0,, # kq, O
, where 00 is the maximum stress that would have ocemred if the original square bar had
been bent by the same couple M, and determine the value of k. i
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i
E SOLUTION I = LII, + 21‘
= (Will: h3+(2\(—;—)(2h,—2m(h3) J
1
J
=ék"+%hok3§hw =§h,k3_w ]
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J
J f i J l
l
 For Hie original? .57qu h=in° ) C: i1. . “—3.??— __. 3M
60 — (Liho‘sbo) ital. has
6 has ha
__ :— _ _______n r 2
so WhoSHIN“ (Lilac—(3}(oﬂlhoXoﬁhf) 0'750 /
6: 0350 60 k = 0.752) 4 K) i 1
1
J
1
J i J
11
j
'1 O ...
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