Livro Hibbeler - 7ª ed Resistencia Materiais (Livro)

RESPOSTAS 61 7
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u" = 82,3 kPa
u1 = cr, =
77: 2 ( 2 L - F} u2 = uy = O,
T ;, , =
77 e L - F)
2
a) u1 = 24,51 MP a, u2 = -33,96 MP a,
b) Tmáx = 29,24 MPa
,,
U1 = Ux = 44,1 MPa, U2 = Uy = O, Tm,, = 22,1 MPa
u 1 = 54,6 MP a, u2 = -59,8 MP a, T , = 57,2 MP a
u1 = 198 MPa, u2 = -1,37 MPa ''
u1 = 441,63 MPa, u2 = -229,42 MPa, (}Pt = 35,78°,
(}Pz -54,22o
=
u1 = 314,07 MPa, u2 = -314,07 MPa, (}P1 = 45°,
(}Pz -45 0
No = ponto A: u1 = u y = O, u2 = ux = -30,5 MP a,
No ponto E: u1 = 0,541 MPa, u2 = -1,04 MPa,
ep, = -54,2°, ep, = 35,8°
= 23,2 MPa
u1 = 0,863 MPa, u2 = -0,863 MPa
u2 = 2,385 MPa, u2 = -0,523 MPa
A: u1 = 0,494 MPa, u2 = 0,000 MPa
B: u1 = 0,000 MPa, u2 = -0,370 MPa
u, = 70,00 MPa, Txy = 98,99 MPa, M = 1,484 N·m,
T= 4,199N·m
U1 = Uy = O, U2 = Ux = -20 kPa, Tm,, = 10 kPa
u1 = 74,6 kPa, u2 = -27,1 kPa,
''
T."' = 50,9 kPa
"
u, . = -0,387 MPa, Tx 'y' = 0,455 MPa
Tx 'y' = -4,052 MPa, Tx 'y' = -0,404 MPa
u,. = 0,123 MPa, Tx'y' = 0,271 MPa
u,· = 0,748 MPa, uy ' = -1,048 MPa,
Tx 'y' = 0,345 MPa
u,. = -0,0289 MPa, uy ' = 0,329 MPa,
Tx 'y' = 0,0699 MPa
u1 = 53,0 MPa, u2 = -68,0 MPa, (}pl = 14,9°
anti-horário, T,"" = 60,5 MPa,
uméd = -7,50MPa, (}sl = 30,1° horário
u1 = 265 MPa, u2 = -84,9 MPa, (}P = 29,SO
horário, T."' = 175 MPa, (J méd = 90 MPa,
(}s = 15,5 6 ' anti-horário
u1 = 4,21 MP a, u2 = -34,21 MP a,
'T máx = 19,21 MPa, Uméd= -15 MPa, 8p 2 = 19,330°,
es, = 64,330°
u,. = 4,986 MP a, U v • = -3,986 MP a,
Tx 'y' = -1,457 MPa
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u,· = -0,0228 MPa, uy ' = -0,0272 MPa,
Tx'y' = -0,896 MPa
u, · = -5,240 MPa, uy ' = 20,240 MPa,
Tx'y' = 7,933 MPa
a) u1 = 646 MPa, u2 = -496 MPa,
ep, = 30,6° (anti-horário)
b) Uméd = 75,0 MPa, = 571 MPa,
(}s = 14,4° (horário)
a) u1 = 114 MPa, u2 = -24,5 MPa,
(} p, = 60,1 o (horário)
b) uméd = 45,0 MPa, = -69,5 MPa,
(}s = 15,1 o (horário)
u1 = -5,53 MPa, u2 = -14,47 MPa,
Tmáx = 4,47 MPa, Uméct= -10 MPa
a) u1 = 88,1 MPa, u2 = -13,1 MPa,
(}P = -40,7° b) = 50,6 MPa,
u méd = 37,5 MP a, (} s = 4,27°
u1 = 0,267 MPa, u2 = -0,267 MPa
u1 = 115,60 MPa, (}s = 28,155°
Tmáx = -63,10 MPa, Uz = -10,60 MPa
uc = O MP a, R = 30 MP a
a) uc = 0,1 MPa, R = 0,7 MPa
b) uc = -1 MP a, R = 1 MP a
c) Uc = O MPa, R = 20 MPa
Ux • = 74,38 kPa, Uy • = -42,38 kPa,
Tx'y' = 22,70 kPa
u1 = 10,52 MPa, u2 = -0,165 MPa
u1 = 0,560 MPa, u2 = -4,491 MPa
u1 = 3,125 MPa, u2 = -9,375 MPa
u1 = 40,224 MPa, u2 = -0,224 MPa
Ux• = 11,0 kPa, Tx'y' = -22,6 kPa
u_,. = -12,5 kPa, Tx'y' = 21,7 kPa
No pontoA: u1 = O, u2 = -87,1 MPa,
Tm, = 43,6 MPa, (}s = 45,0° (anti-horário),
No ponto E: u1 = 93,9 MPa, u2 = O,
= 47 ,O MP a, (}s = 45,0° (horário)
a) Umáx = 6 MPa, Umín = O, Ujnt = ()
c) Umáx = 600 kPa, Umín = 100 kPa,
Uint = 200 kPa
d) Umáx = O, Umín = -9 MPa, Uint = -7 MPa
a) u1 = 15 MPa, u2 = O, u3 = -15 MPa,
Tm áx = 15 MPa
Umáx = 98,94 MPa, uint = -88,94 MPa,
Umín = -100,00 MPa, Tmáx = 99,47 MPa