16.09.2020 Views

Livro Hibbeler - 7ª ed Resistencia Materiais (Livro)

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

RESPOSTAS 615

7.70.

7.71.

7.73.

7.74.

7.75.

7.77.

7.78.

7.79.

7.81.

7.82.

b( 6hlh2 + 3h2b - 8hi)

e=

2h3 + 6bh2 - (h - 2h!)3

e = O

b( 6h1h2 + 3bh2 - 8hi)

e=

(h + 2ht)3 + 6bh2

e= 43,30 mm

e= 70 mm

2v'3

e= 3 -a

qA = O, qmáx = 375 N/m

qmáx = 84,85 kN/m

h=171 mm

4r( sen a - a c os a)

e=

7.83. e= 2r

2a - sen 2a

7.84. F c = 0,987 kN, F D = 6,906 kN

7.85. V máx = 20,37 kN

7.86. Vmáx = 3,731 kN

7.87. qA = 0, q8 = 1,21 kN/m, qc = 3,78 kN/m

7.89. qA = 145 kN/m, q8 = 50,4 kN/m,

Tmáx = 17,2 MPa

7.90. TA = 1,335 MPa, Te = O MPa

7.91. Ts = 1,781 MPa

7.93. VAB = 49,78 kN

Capítulo 8

8.1. t = 18,8 mm

8.2. t0 = 18,875 m

8.3. Caso (a): u1 = 16,67 MPa, u2 = O

Caso (b): u1 = 16,67 MPa, u2 = 8,33 MP a

8.4. u1 = 28,88 MPa, u 2 = 14,44 MPa

8.5. p = 36,0 MPa

8.6. u1 = 4,2 MPa, u2 = O

8.7. u1 = 4,2 MPa, u2 = 2,1 MPa

8.8. u1 = 13,33 MPa, o= 0,0422 mm,p = 0,199 MPa

8.9. <Te = 19,69 MPa

8.10. s = 400 mm

8.11. s = 833,33 mm

8.13. or =

prt

--=-"'--

1 E(r0 - r;)

8.14. () = 547

8.15. P = 1,756 kN

8.16. O"máx = 239,2 MPa

8.17. O"sup = 17,36 MPa (T), O" inf = -8,10 MPa (C)

8.18.

8.19.

8.21.

8.22.

8.24.

8.25.

8.26.

8.27.

8.28.

8.29.

8.30.

8.31.

8.33.

8.34.

8.35.

8.37.

8.38.

8.39.

8.41.

8.42.

8.43.

8.44.

8.45.

8.46.

8.47.

8.49.

8.50.

8.51.

8.52.

uA = 4,63 MPa (T), u8 = -8,10 MPa (C),

TA = 5,21 MPa, Ts = O MPa

u A = 123 MPa, u8 = 62,5 MPa

O" máx = 53,3 MP a (C), u rnín = 40,0 MP a (T)

d = 100mm

uAB = 5,19 MPa (T), uvc = 312,73 MPa (T)

( uc)rnáx = 11,0 MP a, ( uc)mín = O

u A = 0,318 MPa, TA = 0,735 MPa

u8 = -21,7 MPa, Ts = O

T= 9,331 kN

T= 9,343 kN

uA = -0,200 MPa (C), u8 = -0,600 MPa (C)

uA = -0,200 MPa (C), u8 = -0,600 MPa (C),

uc = -0,200 MPa (C), uv = 0,200 MPa (T)

() = 0,215°

R1 = 15,63 kN,R 2 = 14,38 kN, uA = -70,98 MPa,

us = 20,4 MPa, TA = 0,00 MPa, Ts = 7,265 MPa

u A = 359 MPa (T), u8 = 71,7 MPa (T),

TA = 4,48 MPa, Ts = 5,92 MPa

uE = 1,01 MPa (C), up = 27,7 MPa (C)

TE = 1,96 MPa, Tp = O

a = 61,9 mm, u = 15,5 MPa

u A 0,444 MPa (T), TA = 0,217 MPa

uA = -23,78 MPa (C), TA = 0,00 MPa

u8 = 51,84 MPa (T), Ts = 0,00 MPa

uc = 113,9 MPa (T), uD = 868,5 MPa (T),

( Tc)xy = -360,8 MP a, ( TD)xz = 434,3 MP a,

( Tc),2 = O , ( TD)xy = O , ( Tc)yz = O ,

(TD)yz 0 =

up = -125,7 MPa (C), uE = -868,5 MPa (C),

( Tp)'-1. = 467,2 MPa, ( TÚrz = -434,3 MPa,

( Tp)xz = O , ( TE)xy = O, ( Tp)yz = O ,

(TE)yz 0 =

u A = 11,9 MPa (T), ( Txy)A = -0,318 MPa,

(Txz)A = O

u B = 7,16 MP a (C), ( Txc) B = 0,531 MPa,

(Txy)B = 0

uc = 52,1 MPa (C), Te = O

u A 107 MPa, TA = 15,3 MPa,

us = O, Ts = 14,8 MPa

uc = 107 MPa (C), Te = 15,3 MPa,

uD = O, TD = 15,8 MPa

uA = -262,0 MPa (C), TA = 0,00

uA = 0,0 MPa, Ts = 3,14 MPa

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!