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Livro Hibbeler - 7ª ed Resistencia Materiais (Livro)

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RESPOSTAS 609

4.6. P1 = 70,46 kN, P 2

= 152,27 kN

4.7. p = 21,8 MPa, o8c = 1,13 mm, osA = O

4.8. o1 = 0,736mm

4.9. ave = 0,0039°, f3AB = 0,0334°

4.10. oA = 2,990mm

4.11. op = 0,34mm

4.U. aAc = 0,00143°

4.13. o101 = 33,87 mm

4.14. W = 9,69 kN

4.15. op = 2,23 mm

4.16. o8 = 12,37 mm

4.17. P = 50,47 kN

4.19. o v = 17,3 mm

4.20. dcv = 12.887 mm, dAs = 22.321 mm

4.21. IV = 13,41 kN/m,x = 1,35 m

Hastes AB e CD falham simultaneamente.

4.22. F = 12,0 kN, oA/B = -0,864 mm

4.23. F = 17,0 kN, oA/B = -1,03 mm

PL yL2(r

4.25.

2 + I'J ) yL2rt

o=

1rEr

+ -

2 r1 6E(r 2 - r1) 3Er 2 (r 2 - r1)

0,511P

4.26. o=

1T'roE

2,63P

4.27. o = -

7rrE

yL2

4.29. o=- 6E

4.30. o= 0,1804 mm

4.31. (J'aço= 24,323 MPa, (J'conc = 3,527 MPa

4.32. daço= 44,95 mm

4.33. (J'al = 27,5 MPa, (J'aço= 79,9MPa

4.34. (J'aço = 65,9 MPa, (J'conc = 8,24 MPa

4.35. d = 33,9mm

4.37. (J'aço = 5,335 MPa, (J'lat = 2,792 MPa,

4.38. daço = 58,88 mm

4.39. TAc = 1,249 kN, TAB = 6,251 kN

4.40. AAB = 3,60911 mm2

4.41. P = Flat = 198 kN

4.42. TAB = 1,469 kN, TA'B' = 1,781 kN

4.43. Pb = 14,4 kN

4.45. IV = 45,9 kN/m

4.46. (J'D = 13,4 MPa, (J'Bc = 9,55 MPa

4.47. 8 = 63,7(10-6) rad

4.49. dAc = 1,79 mm

4.50.

7P p p

(J'AB =

12A' (J'C D = 3A' (J'EF =

12A

4.51.

4.53.

4.54.

4.55.

4.56.

4.57.

4.58.

4.59.

4.61.

4.62.

4.63.

4.65.

4.66.

4.67.

4.68.

4.69.

4.70.

4.71.

4.72.

4.73.

4.74.

4.75.

4.76.

4.77.

4.78.

4.79.

4.81.

4.82.

4.83.

4.84.

4.85.

4.86.

4.87.

4.89.

4.90.

P = 1,16kN

(J' aço = 102 MP a, (J'lat = 50,9 MP a

P = 126 kN

T AB = T CD = 16,7 kN, T EF = 33,3 kN

o8 = 0,073522 mm

FEF = 6,316kN,Fcv = 1.053 kN

( A1E1 )

F l = p

2A1E1 + A 2 E 2

'

( A 2 E 2 )

F 2 = p

Aj =

( ) A1

2A1E1 + A 2 E 2

F8 = 0,2712 kN, Fc = 0,8136 kN, Fv = 1,8983 kN

ov = 0,003867 mm

F A = F B = 25,6 kN

F AB = 12,0 kN (T), FAC = FAD = 6,00 kN (C)

F B = 16,9 kN, F A = 16,9 kN

Oesp = 0,0390 mm

T8c = 45,2804 kN, Tvc = 135,8411 kN

!::..e = 0,180°

s = 0,7425 mm

L' = 139,056 m

(J'al = 15,05 MPa, (J'lat = 33,85 MPa,

(J'aço = 135,41 MPa

T1 = 55,45°C, (J' = 1,45 MPa

F= 489,03 kN

F= 477,29 kN

Lltolga = 8,640 mm, F = 76,80 kN

T' = 45,77°C, F = 61,958 kN, (J' = 87,65 MPa

(J' = 185,58 MPa, L1 = 200,117793 mm

F = 6,99 kN

F AB = FEF = 1,85 kN

(J' = 134,40 MP a

F= 18,566kN

(J'aço = 24,68 MPa, (J'Iat = 30,M MPa

aAE

F = - 2 -(Ts -TA)

F = 2,442 kN

(J' máx = 190 MP a

P = 44,1 kN

P = 5,4kN

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