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PROBLEM (9.92) The C clamp shown in Fig.P9.92 is made of a cast-aluminum alloy having an
ultimate strength in tension u
σ
= 8 ksi and in compression '
u
σ
= 16 ksi. Using Coulomb-Mohr theory of
failure, determine the maximum load P for which rupture should be expected.
SOLUTION
2334
1
1(0.5) 0.5 . (0.5)(1) 41.667(10 ) .
12
AinI in
−
== = =
3
M
P=
APMc
AI
σ
=+
3
3(0.5)
0.5 41.667(10 )
PP
−
=+
23638PPP=+ =
236 34
BPP P
σ
=− =−
We thus have
12
38 0P
σ
σ
== at point A
21
34 0P
σ
σ
=− = at point B
Then
13
38 1, 210.5
8(10 )
u
PPlb
σ
σ
===
23
34 1, 470.6
' 16(10 )
u
PPlb
σ
σ
===
Hence
max 210.5Plb=
M
A
P
P
B
1
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1
100%