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Livro Hibbeler - 7ª ed Resistencia Materiais (Livro)

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12.15.

12.16.

12.17.

12.18.

12.19.

12.21.

12.22.

12.23.

12.24.

12.25.

12.26.

12.27.

12.29.

12.30.

F = 1.375 N

Tcabo = 58.78 kN

12.31.

12.33.

12.34.

12.35.

12.37.

12.39.

12.40.

12.41.

12.42.

12.43.

12.45.

3wa3 7wa3

(j A = - 16EJ ' 8 B = 48EJ'

w

v = 3 4 48EI

{6ax - 2x + 2(x - a)4 - 9a3x}

RESPOSTAS 621

3PL

(J'máx = --2 2nbt

X= 3 m,Mmáx = 11,25 N·m

p

v = 12EJ

{-x3 - 2 (x - a)3

+ 7 (x - 2a)3 + 5a2x}

ao = -8,33 N, a1 = -33,33 N, a 2 = 91,67 N,

a 3 = 12,50 N·m2

v = 1

-- (ao · ct>(x - W + a1 · ct>(x - a)3

E·l

+ a 2 · ct>(x - 2a )3 + a 3

• x )m

8

279 kN · m2

_ _

= I =

835 kN · m3

A

EJ

, V .F7 m

EJ

a0 = 2,08 N, a1 = -1,67 kN, a 2

= -3,33 kN,

a 3 = -76,00 kN·m2

v = -1- [a0 • ct>(x - 0)3 + a1 · ct>(x - a?

E·I

+ a 2 · ct>(x 2a)3 + a 3

• x]m

1

v = EI

{ -0,25x4 + 0,25 (x - 1,5)4

+ 0,208 (x - 1,5)3 + 4,625 (x - 4,5)3

+ 25,1x - 36,4} kN · m3

= ; I

[2,25x2 - 0,5x3 + 5,25 (x - 5)2

+ 0,5 (x - 5)3 - 3,125] kN · m2,

1

v = EI

[0,75x3 - O,l25x4 + 1,75 (x - 5)3

+ 0,125 (x - 5)4 - 3,125x] kN · m3

3wa3

& A = - 16EJ '

w

v = 48E1

{6ax3 - 2x4 + 2 (x a)4 -9a3x},

5wa4

vc = - 48EI

v = _1_[_ 10 x 3+ 10 (x-15)3+ 10 (x -4 5)3

EI 3 . 3 . ' 3 . '

+ 67,5x - 90 J kN · m3

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