Livro Hibbeler - 7ª ed Resistencia Materiais (Livro)

616 RESISTÊNCIA DOS MATERIAIS
8.53.
8.54.
8.55.
8.56.
8.57.
8.58.
8.59.
8.61.
8.62.
8.63.
8.64.
8.66.
8.67.
8.69.
8.70.
8.71.
8.73.
8.74.
8.75.
8.76.
8.77.
8.78.
8.79.
Capítulo 9
a A = 17,7 MPa (T), (Tn)A = 4,72 MPa,
(Txy)A = O
a8 = 81,3 MPa (C), (Tn)B = 2,36 MPa,
(Txy)B = O
ac = 103 MPa (C), (Txy)c = 3,54 MPa,
(Txz)c = O
ITA = 52,9 MPa (T), (TA)xz = -11,14 MPa,
(TA)xy = O
a8 = -46,1 MP a (C), ( Ts)xy = -10,86 MP a,
(TA).n = O
a A = 83,34 MPa (T), TA = O MPa,
a8 = -83,95 MPa (C), Ts = O MPa
y = 0,75 - 1,5x
a A = 218,31 MPa (T), TA = O MPa,
a8 = 2,31 MPa (T), Ts = 6,00 MPa
6ey + 18ez < 5a
(a1)máx = 103 MPa, (ac)máx = 117 MPa
aA = -0,1703 MPa (C), a8 = -0,0977 MPa (C)
P = 13,2kN
a1 = 7,07 MPa, a2 = O
O"máx = 397,4 MPa (T)
ac = 79,67 MPa (T), Te = O,
aD = -159,33 MPa (C), TD = O
1,33P P
O"máx = 2- (C), O"mín = - 3
2
a a (T )
p = 3,60 MPa, n = 113 parafusos
a1 = 50,0 MP a, a2 = 25,0 MP a, F b = 133 kN
an = 5,21 MPa (T), aE = 0,00 MPa,
TE = 0,0834 MPa, TD = O
O"máx = 397,4 MPa (T), O"mín = -374,2 MPa (C)
aF = 6,40 MPa (C), TF = O
a1 = 425,3 MPa (T), ac = -354,4 MPa (C)
a1 = 250,2 MPa (T), ac = -208,4 MPa (C)
9.2. a,, = -4,052 MPa, Tr'y' = -0,404 MP a
9.3. a,, = 0,123 MPa, T,y = 0,271 MPa
9.4. a,, = -0,387 MPa, Tr'y' = 0,455 MPa
9.6. a_,, = 49,7 MPa, Tx' = -34,8 MPa
9.7.
a, , = -4,05 MPa, Tr'y' = -0,404 MPa
9.8. a,, = --0,387 MPa, T,y = 0,455 MPa
9.9. O"x' = 49,7 MPa, Tx' = -34,8 MPa
9.10. a,, = 0,748 MPa, ay' = -1,048 MPa,
T,y = 0,345 MPa
9.11.
9.13.
9.14.
9.15.
9.17.
9.18.
9.19.
9.20.
9.21.
9.22.
9.23.
9.25.
9.26.
9.27.
9.29.
9.30.
9.31.
a,, = -0,0289 MPa, ay ' = 0,329 MPa,
T,y = 0,0699 MPa
a) a1 = 53,0 MPa, a2 = -68,0 MPa, Bpl = 14,9°,
eP -75,1 o 2 = b) T""' = 60,5 MPa,
O"m éd = -7,50MPa, 85 = -30,1°, 59,9°
a) a1 = 265 MPa, a2 = -84,9 MPa, Bp1 = 60,SO,
ep2 = -29,5° b) Tm, = 175 MPa,
améct = 90,0 MPa, ' es = 15,5°, -74,SO
a) a1 = 4,21 MPa, a2 = -34,21 MPa, Bp1 = 19,33°,
eP2 = -70,67° b) Tmáx = 19,21 MPa,
améct = -15,00 MPa, Bs = -25,67°, e; = 64,33°
O"x = -193 MP a, O"y = -357 MP a, Txy = 102 MP a
a1 = 0,333 MPa, a2 = -0,333 MPa
T - = 0,500 MP a, O"méd = 3,50 MP a
,,,
O"y = 48,04 MPa, Ta = -1,96 MPa, a1 = 80,06 MPa,
a2 = 19,94 MPa
Ta = 7,464 MPa, a1 = 8,29 MPa, O"z = 2,64 MPa
No ponto A: a1 = ax = O, a2 = a y = -192 MPa,
No ponto B: a1 = 24,0, a2 = -24,0 MPa,
epl = -45,0°, epz = 45,0°
No ponto C: a1 = O"y = 256 MPa, az = O"x = O,
No ponto D: a1 = 0,680 MPa, a2 = -154 MPa,
epl = 3,80°, ep2 -86,2°
ay = -5,767 MPa
For point A: a1 = O"x = 152 MPa, a2 = ay = O,
For point B: a1 = 0,229 MPa, a2 = -196 MPa,
ep1 = 88,0°, ep2 = 1,96°
No ponto A: a1 = O"y = O, O"z = ax = -87,1 MPa,
No ponto B: a-1 = a-x = 93,9 MPa, a-2 = a-y = O,
No ponto A: To"' = 43,6 MPa,
No ponto B: T:, = 47,0 MPa, 85 = 45,0° and -45,0o
,,
=O a-A1 MPa, a-A2 = -0,942 MPa,
a-8 1
= 0,764 MPa, a82 = O MPa,
( améd)A = -0,471 MPa, (u-méd) B 0,382 MPa,
( Tmáx)A = 0,471 MPa, ( Tmáx) B = 0,382 MPa,
(Bs)A = 45°, (e;)A = -45°,(Bs)B = -45",
( e;)s = 45°
No ponto A: a-1 = 150 MPa, a-2 = -1,52 MPa
No ponto B: a-1 = 1,60 MPa, a-2 = -143 MPa
-F + F2 + }
a-1 =
(
2
2 ( 2
O"z
64TÕ)
= -2 F + F + - 2 - ,
T
d \
2 2 64TÕ
F +--
;:" (t z d 2
d