statics of rigid bodies manual
TRANSCRIPT
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41.)
The frame supports part of the roof of a small building. The tension in the cable is 150 kN.
Determine the reaction at the fixed end E.
*FBD
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42.)
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43.)
4.)
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45.)
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46.)
47.)
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48.)
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49.)
50.)
51.)
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52.)
A fxed crane has a mass o 1000 kg and is used o !i a 2400 kg crae. " is
he!d in #!ace $% a #in a Aand a rocker a B. &he cener o gra'i% o he
crane is !ocaed a G.(eermine he com#onens o he reacions a Aand B.
( ) ( )
( ) 0mkN5.!"
m!kN#1.$m5.1%0
=
+= BMA
kN1.10&+=B
0%0 =+= BAF xx
kN1.10&=xA
0kN5.!"kN#1.$%0 == yy AF
kN".""+=yA
53.)
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A man raises a 10 kg ois* o !engh 4 m* $% #u!!ing on a ro#e.
+ind he ension in he ro#e and he reacion a A.
( )
( )
( )
".1'1'.1
"1".!tan
m!."1"m515.0#!#.!
m515.0!0tanm'1'.1(!0'5cot)
m'1'.1
m#!#.!'5cosm''5cos
!1
===
===
==+=
===
===
AE
CE
BDBFCE
CDBD
AFAECD
ABAF
.5#=
"#.sin
N1.$#
110sin'."1sin==
RT
N#.1'&
N$.#1
=
=
R
T
54.)
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A !oading car is a res on an inc!ined rack. &he gross ,eigh o he car and is !oad is 5500
!$* and i is a##!ied a a G. &he car is he!d in #osiion $% he ca$!e.
(eermine he ension in he ca$!e and he reacion a each #air o ,hee!s.
( )
( )
lb!"!0
!5sinlb5500
lb'$#0
!5coslb5500
=
=
+=
+=
y
x
W
W
( ) ( )
( ) 00in.5
in.lb$#0'in.!5lb!"!0%0
! =+
=R
MA
lb1&5#!=R
( ) ( )
( ) 00in.5
in.lb$#0'in.!5lb!"!0%0
1 =
+=R
MB
lb5!1=R
0Tlb'$#0%0 =+= xF
lb'$#0+=T
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55.)
A sign o uniorm densi% ,eighs 270 !$ and is su##ored $% a $a!!-and-socke oin a Aand
$% ,o ca$!es.
(eermine he ension in each ca$!e and he reacion a A.
( )
( ) ( )
0lb10#05&1.!&.!%
0&1'.1""".5%
0lb!&0ft'
0%
0lb!&0%
0%
0lb!&0
&!
"!
&"
"1
&
"!
=+
=
=++=
=+
=++
=
=++=
ECBD
ECBD
ECEBDBA
ECBDz
ECBDy
ECBDx
ECBD
TTk
TTj
jiTrTrM
TTAk
TTAj
TTAi
jTTAF
o!'ing 5 unkno,ns
( ) ( ) ( )kjiA
TT ECBD
lb!!.5lb101.!lb""#
lb"15lb".101
+=
==
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56.)
Determine the magnitudes of the forces C and T +hich along +ith the otherthree forces sho+n act on the bridge,truss -oint.
+/(
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+/(
58.)
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+/(
59.)
+/(
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60.)
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