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hw36-37_sol - 10,1 Knowing{hat the torsional spring at B is...

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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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