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Unformatted text preview: 10,1 Knowing {hat the torsional spring at B is of constant K and thai {he
21:34.57 is rigid, determine the criticai load Per. n to a spring of AC and BC are connectad as Show
ssion, 113.3 Two rigid bars
pring can act in either tension or comprﬁ Constant k. Knowing that the 3
determine the critical bad PC, for the system. e “15 The rigid rod AB is attached to a hinge at A
QCh 0f Constant k : 2 kips/in. that can act in either tensi
7 nawmg that 1’1 2 2 ft determine the critical load, and to two springs, on or compression. P [Ga/4r Probbm 1014 \«r 19.14 A column of effective length L can be made by gluing together identical
planks in either of the mangaments Show. Determine the ratio of mg ethical
load using the arrangement a to the criiica} load using 3115 arrangement 21 1.; _\ 10.22 Column AB carries a centric 102d P of magnitude 15 kips. Cables BC and
BD are taut and prevent ﬁxation of pcint B in the :2 plans. Usizxg Euler’s fwmuéa
and a factor of. safety of 2.2, and neglecting the tainsion in the: cables, detemﬁm
the maximum allowabk isngth L. Use E = 2‘9 X 10° psi. l __ 1”},
e £~iV mm“ (min? ’ J
x}; ’ i'
w ,, J03)? / i , 313:}
3, was; r: :3“ @6112; , '
5;) ‘f (ji 0 , '11;
c?
h I ., T” «E
(W) “)Ci’r ,, /5 EL
zmv WTW“
(5%)
.mﬂ
(27% 26:95an w M 3» Wig 5%”
“ ' ‘Zréiv' 1'”
C, ~ , 77% 35M?
, [0/] j ’ 53’
w 3 , w m” ‘53:“?
a ,2» “—5? M '
f " Lg
Maw? \ r"
P I 634$ > ~————* 
#/ Pr0b§em 70.25 10.25 Column ABC has guniform {ectangular cross salmon with b = 12 mm and an
= 22 mm. The column 15 bracsd m the; x2 piaﬂe at KS midpcim C and carrieg a
centric and P of magnitude 3.8 kNL Knowing that a facts: 0f safsty of 3.2 is requijed, detezmiﬂs the Largest aﬁowabie length L USE E = 200 G135. ...
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 Spring '09
 MOORTHY

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