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Livro Hibbeler - 7ª ed Resistencia Materiais (Livro)

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REVISÃO DE FUNDAMENTOS DE ENGENHARIA 605<br />

D-85. Verdadeiro. Resposta<br />

D-86.<br />

1T2 EI 1r2 (210 X 103 )( 1L (12,5)4)<br />

p =<br />

(KL)2 =<br />

[0,5(12,50 4 )]2<br />

= 10111JWosta<br />

D-89.<br />

CT = p = 101 ' 7 X 103 = 207 2 MPa < CT OK<br />

A 1T02jf '<br />

e<br />

_ 1r2 EI _ 1T2(11)(103)[(100)(503)]<br />

D-87. p -- - _ ----"-"-----=---<br />

(KL)2 [1(4.000)]2<br />

= 7,07 kN Resposta<br />

D-88. A= 1T((0,025)2 - (0,015)2) = 1,257(10-3) m2<br />

I = 1r( (0,025)4 - (0,015)4) = 267,04(10-9) m4<br />

1r2 EI 1r2(200( 109)) (267,04) (10-9)<br />

p = -- = ----- ---::----<br />

(KL)2<br />

[0,5(5)]2<br />

= 84,3 kN Resposta<br />

p 84,3(103)<br />

=<br />

3<br />

67,1 MPa < 250 MPa OK<br />

CT = - =<br />

A 1,257(10- )<br />

r 2<br />

= 15,08 mm<br />

- p - 180(103)<br />

(j - - - ---;;-----'-'---<br />

A 1T[(25)2 - (15,08)2]<br />

= 144,1 MPa < 260 MPa OK<br />

Pmianto t = 25 - 15,08 = 9,82 mm Resposta<br />

1r2EI<br />

D-90. p =<br />

(KL)2;<br />

:. r 2<br />

= 9,8mm<br />

p 15(103)<br />

A 1T(9,8)2<br />

CT = - = -- = 49,7 MPa < 260 MPa OK<br />

d = 2r = 19,6 mm<br />

Use d = 20 mm Resposta

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