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Livro Hibbeler - 7ª ed Resistencia Materiais (Livro)

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RESPOSTAS 613

6.90.

6.91.

6.92.

6.93.

6.94.

6.95.

6.96.

6.97.

6.98.

6.99.

6.101.

6.102.

6.103.

6.105.

6.106.

6.107.

6.109.

6.110.

6.111.

6.113.

6.114.

6.115.

6.117.

6.118.

6.119.

6.121.

6.122.

6.123.

6.125.

6.126.

6.127.

6.128.

6.129.

6.130.

6.131.

6.133.

6.134.

P = 1,67 kN

Umáx = 9,00 MPa

Umáx = 105,11 MPa

a= 159,88mm

Umáx = 160,45 MPa

umáx = 166,7 MPa

umáx = 142,2 MPa

a= 156,2mm

b = 89,3 mm

b = 53,1 mm

h 3M( + )

c= vE, vE,' (umáx)c = bh 2 vE,

Et + Ec I

a-8 = -77,5 MPa (C), a-D = 77,5 MPa (T),

a= -36,87°

IMI = 32,24 kN·m

a-A = 21,97 MPa (T), a = 63,91 o

a-11 = 1,30 MPa (C), a-8 = 0,587 MPa (T),

a= -3,74°

u A = 1,30 MPa (C), a = -3,74°

d = 28,9 mm

a-A = 7,40 MPa (T), a-Á = 6,40 MPa (T),

a= 25,25°

( IyMz + Myfyz ) _

a = O, b = - 2 , c -

lyfz - lyz

d = 62,9 mm

u A = 293 kPa (C)

u; = 293 kPa (C)

u A = 2,60 MPa (T)

u A = 2,60 MPa (T)

IzMy+M)yz

IJz - 1;.z

h= 41,3 mm, M = 6,60 kN·m

( Ua ç o)máx = 3,70 MP a, ( u m)máx = 0,179 MP a

Ua ç o = 62,7 MPa, Um = 4,1 MPa

Ua ç o = 10,37 MPa, Um = 0,62 MPa

(umáx)aço = 9,42 MPa, (umáx)Iat = 6,63 MPa,

Na junção: Uaço = 1,86 MPa, lTiat = 0,937 MPa

M = 58,8kN·m

Mactm = 127,98 kN·m

w0 = 10,76 kN/m

M = 6,91 N·m

a-A = 9,91 MPa, a-s = -8,52 MPa

P = 55,2kN

u A = 3,82 MPa (T), a-8 = 9,73 MPa (C)

a-c = 2,66 MPa (T)

6.135.

6.137.

6.138.

6.139.

6.141.

6.142.

6.143.

6.144.

6.145.

6.146.

6.147.

6.148.

6.149.

6.150.

6.151.

6.153.

6.154.

6.155.

6.156.

6.157.

6.158.

6.159.

6.161.

6.162.

6.163.

6.165.

6.166.

6.167.

6.169.

6.170.

6.171.

6.173.

6.174.

6.175.

6.176.

6.177.

a-11 = 792 kPa (C), a-8 = 1,02 MPa (T)

P = 3,09 N

(a-1)máx = 4,77 MPa

a-A = 1,3594 MPa (T), a-8 = -0,9947 MPa (C),

uc = -0,0531 MPa (C)

u A = 446 kPa (T), a-8 = 224 kPa (C). Não,

por conta da concentração de tensão localizada

no muro.

M = 14,0 kN·m

M = 56,57 N·m

Umáx = 100,22 MPa

r= 5,00 mm

u máx = 54,4 MP a

a-máx = 384 MP a

M = 9,11N·m

(u1)máx = 6,77 MPa, (u2)máx = 6,66 MPa

L= 950 mm

M = 4,46 kN·m

M = 455,73 N·m

Umáx = 276,48 MPa

P = 468,75 N

Umáx = 266,67 MPa

M = 9,52 kN·m

Uuperior = a-inferior = 67,1 MPa

Usuperior = a-inferior = 43,5 MPa

Me = 50,7 kN·m, MP = 86,25 kN·m

4r3

k = 1,70, z = 3

Me = 82,83 kN·m, MP = 140,63 kN·m

Me = 50,35 kN·m,MP = 85,94 kN·m

MP = 515 kN·m

MP = 225,6 kN·m

z = 0,0976bh2, k = 2,34

Me = 3,07 kN ·m,MP = 7,19kN·m

- 3h [ 4bt(h - t) + t(h - 2tf] .

k - 2 bh3 - ( b - t) (h - 2t ) 3

t

2

z = bt(h - t) + 4 (h - 21)

w = 53,4kN/m

w0 = 212,67 kN/m, w0 = 269,79 kN/m

P = 218,66 N

Me = 551,25 kN·m, M = 78,54 kN·m

M = 9,03 kN·m

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