Livro Hibbeler - 7ª ed Resistencia Materiais (Livro)

618 RESISTÊNCIA DOS MATERIAIS
9.91 O"máx = 7 MPa, O"int = 5 MPa, O"mín = -5 MPa,
Tmáx = 6 MPa
9.93. Para oplanox-y: O"méd = O, Tm,, = 40,0 MPa
Para o plano y-z: (T méd = -4Ó:o MP a, Tmh = o
Paraoplanox-z: O"méct = O, Tmu = 40, Ó, MPa
c'
9.95. No pontoA: O"máx = 5,50 MPa, O"int =O,
O"mín = -0,611 MPa, 7::;;, = 3,06 MPa,
No pontoS: O"máx = 1,29 MPa, O"int = O,
O"mín = -1,29 MPa, = 1,29 MPa
9.96. O"máx = 441,63 MPa, O"int = 0,00 MPa,
O"mín = -229,42 MPa, Tmáx = 335,53 MPa
9.97. O"máx = 314,07 MPa, O"int = 0,00 MPa,
O"mín = -314,07 MPa, Tmáx = 314,07 MPa
9.98. O"máx = 75,44 MPa, O"int = -95,44 MPa,
O"mín = -120,00 MPa, Tmáx = 97,72 MPa
9.99. O"x' = 187,5 MPa, Tx'y' = -62,5 MPa
9.100. t:T,· = -0,611 MP a, t:Ty • = -3,389 MPa,
Tr'y' = 7,878 MPa
9.101. Tmáx = 4,03 MPa
9.102. Tmáx = 3,41 MPa
9.103. t:T,· = -0,898 MPa, t:Ty ' = 0,598 MPa,
r'y' = 0,605 MPa
Capítulo 1 O
10.2. Ex' = 77,4(10-6), 'Yx'y' = 1,279(10-6),
Ey' = 383(10-6)
10.3, Ex• = 55,1(10-6), 'Yx'y' = 133(10-6),
Ey' = 325(10-6)
10.5. Ex' = 649(10-6), 'Yx'y' = -85,1(10-6),
Ey' = 201(10-6)
10.6. a) E1 = 138(10-6), E2 = -198(10-6), (}Pi = 13Y,
(Jp, = -76,7°, b) = 335(10-6),
Eméd = -30,0(10-6), (Js = -31,7° e 58Y
10.7, a) El = 1039(10-6), E2 = 291(10-6),
{Jpl = 30,2°, {Jp2 = 120°, b) '}1mm = 748(10-6),
"'
Eméd = 665(10-6), (Js = -14,8° e 75,2°
10.9. a) E1 = 441(10-6), E2 = -641(10-6), (} P i = -24,8°,
(}Pl = 65,2°, b) ')'mü = 1,08(10-3),
,,
(Js = 20,2° e -69,8°, Eméct = -100(10-6)
10.10. a) El = 283(10-6), E2 = -133(10-6), (Jpl = 84,8°,
(Jp2 = -5,18°, b) y.,, = 417(10-6),
"'
Eméd = 75,0(10-6), (JS = 20,2° e (JS = 110°
10.11. a) E1 = 441(10-6), E2 = -641(10-6), (}Pi = -24,8°,
(}Pl = 65,2°, b) 'Y "' = ;:
1.082(10-6), {JS = 20,2°
e -69,8°, Eméd= -100(10-6)
10.13. a) E1 = 713(10-6), E2 = 36,6(10-6), (Jp = 42,9°,
b) ('Yx'y')máx = 677(10-6), Eméd= 375(10-6),
{JS = -2,120
10.15. Ex' = 77,4(10-6), 'Yx'y' = 1.279(10-6),
Ey' = 383(10-6)
10.17. Ex' = 55,1(10-6), 'Yx'y' = 133(10-6),
Ey' = 325(10-6)
10.18. Ex' = 649(10-6), Yx'y' = -85,1(10-6),
Ey' = 201(10-6)
10.19. a) E1 = 138(10-6), E2 = -198(10-6), (}Pi = 13Y,
(Jp = -76,7°, b) y.,, = 335(10-6),
2
,,
Eméd = -30,0(10-6), (-)s = -31,7° e58Y
10.21. Et = 1039(10-6), E2 = 291(10-6), (Jp = 30,2°
')'.,, = 748(10-6), Eméd =
,,
665(10-6), (JS = -14,8°
10,22, E1 = 441(10-6), E2 = -641(10-6), (Jp = -24,8°
= 1,08(10-3), Eméd = -100(10-6), (JS = 20,2°
10.23, a) E1 = 773(10-6), E2 = 76,8(10-6),
b) 'Y·" = 696(10-6), c) = 773(10-6)
,, ,
10.25. ')'me, = -985(10-6), Emáx = 437(10-6), Eint = O,
"'
Emín = -547(10-6), Y:;; , = 985(10-6)
10,26, a) E! = 192(10-6), E2 = -152(10-6),
b e c) y,,, = 'Ymm = 344(10-6)
m.i2:
pi
10.27. 'Ymáx = 2,7083 X 10-5
10.29. a) El = 862(10-6), E2 = -782(10-6),
(}Pi = 88,0° (horário),
b) Eméd = 40,0(10-6), y., = -1644(10-6),
(Js = 43,0° (horário) "'
10.30, a) El = 889(10-6), E2 = -539(10-6),
8p, = 59,4° (anti-horário),
b) Eméd = 175(10-6), ')'." = 1428(10-6),
8, = 14,4° (anti-horári)