Livro Hibbeler - 7ª ed Resistencia Materiais (Livro)

(} = 0,00329 Ll
12.100. A El
0,313
, A EI
12.101. (L.lA)y = 1,875 mm !, (L.lA)x = 6,250 mm
12.102. !.la = 169,04 mm !
3M0 3M0
M0
12.103. A, = O, Ay = 2L
,By = 2L
,Ms = 2
5 11 5
12.105. A, = O, Cy = 16
P, By = S P, Ay = 16 p
PL 3P 5P
12.106. A, = O, MA = Z
' Ay = Z
' By 2
12.107. M' = Pa( L a)
w0L 4w0L
12.109. Ax = O, Cy =l O ' By = - 5
, Ay
3A 2 E 2 wL14
12.110.
12.111.
TAc = -----=---=- ---"'----
8(A 2 EzLI + 3E1J1Lz)
wL2
wL2
MA = 12' MB = 12
3M0 3M0 M0
12.113. Ax = O, By = 2L
,Ay = 2L
,MA= 2
Mo Mo
12.114. MA = 3' By = O, Ms = 3
2P 4P
12.115. Ax = O, By = 3
, Ay = 3' MA = Pa
12.116. Ay = 10,80 kN, By = 28,40 kN, Cy = 10,80 kN
12.117. B, = O, Bv =
11P 13P
, M
Cy = TI, Ay = 32
M0 M0 M0
12.118.
6a , MA = 2
12.119. a = 0,414L
w0L
_
2w0L
_ w0L2
12.121. Ax = O, By = l O ' AY - 5 ,MA - 15
12.122. By = 550 N, Ay = 125 N, Cy = 125 N
12.123. d0 = 19,16 mm
12.124. A = 11,88 kN, B = 166,24 kN, C = 81,88 kN
12.125. C, = O, Cy =
p
3
PL 3PL
12.126. MA = g ' MB = - 8
-,B, = O, By = p
7wL 57wL 9wL2
12.127. Ax = O, By = 128
, Ay = 128' MA = ----us--
Ax = O, By = (;;; ' Av
12.128. P = 1,33 kN
12.129. Ax = O, By = - 5wL 3wL
4 -, Cy = Ay = 8
3P
F =
5wkL4
12.133.
wo
wL2
12.134. M B = 12
RESPOSTAS 623
12.130.
12.131. Fc = 31,07 kN
111
4(6EI + kL3)
_
a = L
(72 L.lEJ)l
WoL3 Wo
12.135. (}A = 24EI ' v = 120EIL
12.137.
12.138.
12.139.
woL4
VA = - 30EI
( wL4
Vz)máx = 18V3EI
Pa2
Pa3
(}B = 4EI ' Llc = 4EI i
Llc = 51,80 mm !
(
-x + 5L x -4L ,
5 4
12.140. C0 = 11,11 N, C1 = -4,00 N·m2, C 3 = 4,00 N·m2
1 3 )
v1 = EI
(Co ·xl +C1 · x1 ,
Vz = _l__ (-Co · Xz3 + C 3
·
EI
Xz)
2L3y
L4y
12.141. 8 = 3Et 2 , v 2Et2
w L2 w L2
12 142
' '
M B-- - 0 - M - - 0 30 ' A- 20
_
M
5wa2
12.143. o - 48
Capítulo 13
KL
13.1. Pcr= 4
13.2. Per = kL
13.3. Per = 22,7 kN
13.5. a= 43,59 mm
13.6. d0 = 15,94mm
13.7. Per = 151,4 kN
13.9. Per = 1.561,7 kN
13.10.
Per = 2.116,7 kN. Fsegurança = 4,23
13.11. Per = 8.466,8 kN. Não, não pode.
13.12. P = 64,6 kN
13.13. d = 209,76 mm, Per = 1.052,8 kN
13.14. Per = 2.621,2 kN
13.15. Per = 321,1 kN
13.17. Per = 325 kN
5 )