Livro Hibbeler - 7ª ed Resistencia Materiais (Livro)

Respostas
Capítulo 1
1.25. (Vs)x = 750 N, (Vs)y = O N, (Ns)z = O N,
1.1. a) F A= 13,8 kN, b) F A = 34,9 kN
(Ms)x = ON·m,(Ms)y = 5.625 N·m,(Ts)z = 375 N·m
1.2. T c = 250 N · m, T D = 150 N · m
1.26. (ND)x = 0, (VD)y = 154N, (VD)z = -171 N,
1.3. T8 = 150 N·m, Te = 500 N·m
(TD)x = O, (MD)y = -94,3N·m,
1.5. ND = -131 N, VD = -175 N, MD = -8,75 N·m (MD)z = -149N·m
1.6. ND = -15,63 kN, VD =OkN, MD=OkN·m
1.27. (Nc)x = O, (Vc)y = -246 N, (Vc)z = -171 N,
1.7. NE = -15,63 kN, VE =O kN, ME =O kN·m
(Tc)x = O, (Mc)y = -154 N·m,
1.8. NA 0, VA = 2,17 kN,MA = -1,654 kN·m,
(Mc)2 =-123N·m
N8 = O, V8 = 3,98 kN,M8 = -9,034 kN·m,
1.28. N F = O N, V F = 400 N, M F = 240 N ·m,
Vc = O,Nc = -5,55 kN, Mc=-11,554kN·m Nc = 83,54 N, V c= 360 N, Mc = 162 N·m
1.9. VA = 386,37 N, NA = 103,53 kN, MA = 1,808 N·m 1.29. Nc = 400 N, Vc = ON,Mc = -60 N·m
1.10. Nc = O, Vc = 3,92 kN,Mc = 15,07 kN·m
1.30. (V s)x = O, (N s)y = -600 N, (V s)z = 921 N,
1.11. Pelo ponto E:
(Ms)x = 1.606 N·m, (Ts)y =O, (Ms)z = -800N·m
NE = O, VE = 2,03 kN, ME = -0,911 kN·m
1.31. NA = p cos e, v A = p serre,
Pelo ponto D:
MA = Pr(1 - cos e)
ND = O, VD = 4,18 kN,MD = 14,823 kN·m
1.34. u = 1,82MPa
1.12. Nc = -16,2kN, Vc = -5,4kN,Mc=-12,96kN·m,
1.35.
Nc = --7,64 kN, Vc = -15,27 kN,
1.36. u = 3,345 MPa
Me = -12,96 kN·m
1.37. u8 = 151 kPa, uc = 32,5 kPa, uD = 25,5 kPa
1.13. Naseção a-a: Na - a = 650 N, V a-a = O
1.38. F = 36 kN, d = 110 mm
Na seção b-b: V b - b = 563 N, N b - b = 325 N
1.39.
1.14. Naseção b-b: Nb - b = 650 cos e, Vb - b = 650 serre
1.40.
1.15. N8 = -2 kN, V8 = 4,72 kN, M8 = -4,632 kN·m
Padm =1,092 kN
1.41.
1.16. Nc = -2 kN, V c= 5,26 kN, Me = -9,123 kN·m,
u= 3,08 MPa
1.42.
ND = OkN, VD = 6,97 kN,MD = -22,932 kN·m
uAB = 3,93 MPa, uAD = 5,074 MPa,
uAc = 6,473 MPa
1.17. N8 =O kN, V8 = 1.440 kN,M8 = -1.920 kN·m
1.43.
1.18. Nc = O, Vc = 1,75 kN, Mc = 8,50 kN·m
uAB = 3,93 MPa, uAD = 4,001 MPa,
uAc = 6,252 MPa
1.19. ND =O, VD = -1,25 kN,MD = 9,50 kN ·m
1.44.
1.20. VD = OkN,ND = OkN, MD = OkN·m,
uAB = 3,93 MPa, uAD = 3,19 MPa,
VE = 2,67 kN,NE = 6kN,ME = 2,4 kN·m,
uAc = 6,38 MPa
1.45.
VF = OkN,NF = 12kN,MF= 4,8 kN·m
ub = 48,3 MPa, T méd = 18,4 MP a
1.46.
1.21. VI = 0,722 kN,NI = 1,25 kN, MI = 0,144 kN·m u = 8 MP a, T méd = 4,62 MP a
1.47.
1.22. Pelo ponto J: V1 = O kN, N1 = -1,443 kN,
u8c = 9,38 MPa
M1 = OkN·m
1.48. u = 0,0152 MPa, Tméd= 0,0567 MPa
PelopontoK: NK = 3,016 kN, Vg =O kN,
1.49. u = 25 MPa, Tméct= 14,434 MPa
MK = OkN·m
1.50. u = 549,05 MPa, Tméd= 428,96 MPa
1.23. (N s)x = O, (V s)y = O, (V s)z = 70,6 N,
p
1.51.
(T s)x = 9,42 N · m,
e = 45o,
(Ms)y = 6,23 N · m,
Tmáx = 2
(Ms)z = O
1.53. TA = O, r8 = 95,71 MPa
1.24. (VA)x = OkN, (NA)y = OkN, (VA)z = -167 kN, 1.54. u = 533,33 Pa, Tméct= 923,76 Pa
(MA)x = -507 kN·m, (TA)y = -2,1 kN·m,
1.55. Fmín = 2,63 N
(MA)z O kN·m = 1.57. e= 63,6°, u = 316 MPa
Trnéd = 53,05 MP a
T méd = 29,5 MPa