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1204_Mechanics Homework Mechanics of Materials Solution

1204_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: PROBLEM 10 7 10. 7 The rigid rod AB is attached to a hinge at A and to two springs, each of ' constant k = 2.0 kiplin., that can act in either tension or compression. Knowing that h = 2.0 fl, determine the critical load. SOLUTION P Le‘i 9 In: H: 5mm” ra+¢+n‘om angle ' P) cop's he 9 xc’z3k9 J xaxuhe Fc F¢_= kxg x 3km FD: log, at we F15 9ZMA=0 hFD+3kE -’P>c8=o 6 kh‘Q-i awe - LHqP = 0 P=§kh ) Data: k? 2.0 lop/in , h: 210+ = 24.». P : -§(2,0)C24) -’ £20 kJPs. " 10.8 Ifm = 125 kg, h = 700. and the constant of each spring is k = 2.8 kN/m, PROBLEM 10.8 determine the range of values of the distance d for which the equilibrium of the rigid rod AB is stable in the position shown. Each spring can act in either tension or compression. SOLUTION h :- 700 mm. = 700 Ito m Lei- a in He shalt mime». A A3 06-: d9 F=erkci9 ._a2,M~.=.,a 2m — make: 0 Z'kd-te - m3|1= O 5;: 1:13}, a“ = mks , ' (l25)('?.sl)(7wnrb‘ (2)(2.8 wic‘) = 0. 391m -' 332 mm d > 392mm 4:90 shah-pub! ...
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