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7/17/2019 Estática
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ɣC = -0.6 i + 0.3 j + 3 k
ɣW = -0.6 i + 0.9 j + 1.5 k
ɣB = 0 i + 1.2 j + 0 k
∑µA = 0
ɣC x C = -0.3 Cx K + 3Cx j
ɣW x W = -588 j – 882 i
ɣB x B = - 1.2 Bx k + 1.2 BZ i
∑i = 0 | -882 + 1.2 BZ = 0
BZ =
∑j = 0 | -588 + 3 CX = 0
CX =
∑k = 0 | -0.3 CX - 1.2 BX = 0
Ā = (Axi + Azk
B = (Bxi + Bzk
C = (Cxi
W = -980 k
! ∑" = 0
Ā + B + +C = 0W
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∑F = 0
F BA + F CA + F #A =
∑i = 0 |12 F
√ 36+d2−1,72 F =0
∑j = 0 |∑k = 0 | 1$02 " + 0$86 " = %90
12
√ 36+d2=1,72
6,98=√ 36+d2
& = 3.56
= -%90 kW 2 F (3,56)
√ 36+0.56=1,02 F k
F BA = 2 F .(6 i+0 j+dk )
√36+d2 =
2 F .6√
i+2 F . d
√ k
F CA = F .(−6i−2 j+3k )
7=−0.86 Fi−0.29 Fj+0.43 Fk
F = 260, 64 N
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F #A = F .(6 i+2 j+3 k )
7=−0.86 Fi+0.29 Fj+0.43 Fk
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' T 1=510(−0,6 i+0,36 j+0,27 k )
0,75=−408 i+244,8 j+183,6 k
T 2=765 (−0,6 i+0,32 j+0,51k )0,85
=−540 i+208 ,08 j+459k
! = )* -1−948
1231,56
, = )* -1452,88
1231,56
= )*ɣ -1642.6
1231,56
Ṝ= -948i + 452,88j +
642,6 k
=
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PROBLEMA NRO. 11
/* *i&* ' ' &* 4z' *'&'. #i7 ' )*/*77 & '))i7
7 A /*7i7&* */* 7' ' 4:i)'. C') '!i:7 ' 7i7 7 )'&'
7' & ' 7i&' BC ; #.
PROBLEMA NRO. 12
7<* 7 * AB ; /* #A & 30. >i ' 7i7 '7 7 *
& 220 ?$ &i7 (' ' )*/*77 x$ ;$ z & ' 4z' j)i&' /* *
*! ' /')'$ (! * 7<* @x$ @;$ @z$ &*' ' 4z' )*7 * j )**&7'&*
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PROBLEMA NRO 13
'<i7 A */*' 7' )'<' P ; *7i&* /* &* )'!$ <7 ' ' 4i<'.
>i 7 )'! AB ' 7i7 & 510 ? ; 7 )'! AC & 65 ?$ &i7 '
'<7i& ; ' &i))i7 & ' '7 & ' 4z' j)i&' 7 A /* * &* )'!.
PROBLEMA NRO 14
D7' /')' )i)' E*iz*7' )*7 /* & 62 ! /7&i&' /* ''!
4*'7 7<* & 30 )*7 /)* ' ' Fi)' ; 7)7'7 7i&* ' 7 */* 7 #.
#i7 ' 7i7 /7 7 )'&' ''!
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PROBLEMA NRO 15
D7' /iz' & 'i7'i' & /* W *7i&' /*'7 /* * )'! AB$ AC ;
A#. )'! A# 7i&* ' '7i* 7 A$ /'' /* ' /*' 7 #$ ; <' ' '7i*
/'' 7i &/: ' */* 7 . >i ' 7i7 7 )'! AB & 300 ?$ &i7 '
' 7i7 7 AC$ ! ' 7i7 7 A# ; ) /* W. (><7)i'G H' 7i7 ' i'7 *&* * '* & )'! A#.
PROBLEMA NRO 16
H* )*'i7 A ; B 7i&* /* &i* & 7 ''! & 1 7i & '<* /&7 &iz'i!7 i7 4i))i7 *! ' !''. >i 7' 4z' I = (680 ?j '/i)' 7 A$
&i7 ' ' 7i7 7 ''! )'7&* j = 300 $ ! ' '<7i& & ' 4z' J
i&' /'' '77 ii!i* & i'
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