Hall A.S., Archer F.E., Gilbert R.I. Engineering Statics
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ce
to
be
zero,
the
sum
of
the
co~~o~e~ts
of
the forces
in
any
two
62
TWO-DIMENSIONAL
STATICS-FORCES
the
roller
moves.
1
ence,
if
we
wish
to
write an equation which concains
only
one
of
the
three ~n~llow~
S,
we e~amine the other
two-
If
these are parallel
we
resolve at
ri
If
they are not parallel
we
take oint
of
i~ters~ction,
en
to
ensure that the
usually form
the
basis
of
The bell-crank lever ABCP in Figure
P5.1
is pivoted at
C.
The forces shown
are at right angles to the lever.
If
the lever is in equili~rium find the
magnitude of the force Fand the magnitude and direction
of
the reaction at
the pivot,
D
The square plate ABCP in Figure
P52
is in equilibrium. Find the values of
F,,
F2
and
6.
2
kN
4
kN
What is the significance
of
the symbols shown at the supports A and
E
of
the
beam shown in Figure
P5.3?
Find the horizontal and vertical components
of
the reactions at A and
E.
5
kN 8kN 10kN
Find the vertical reaction at
A,
the horizontal reaction at
A,
and the vertical
reaction at
D,
for the beam loaded
as
shown
in
Figure
P5.4
(p
4ns
!4ns
re
The pulley shown in Figure
P5.5
has
tangential forces applied to it
as
indicated.
If the pulley is in e~uilibrium~ determine:
(i) the value of
P
0.1
kN
.5
kN
(ii)
the vertical and horizontal
components
of
the reaction at
the de.
VVhat is the signi~cance of the support symbol shown at
A
in Figure
P5.6?
How many reaction components are there at
a
support of this type? Find the
reactions for the loading shown.
n
3m
l
Figure
P5.7
shows the same beam as that of the previous problem,
but
supported in
a
different manner. mat is the total number of reaction
components for the beam of Figure
P5.'7?
Determine these reactions,
D
T
3m
ure
P5.8
is
a
diagra~~atic sketch
of
a jib crane. The jib
wei
(9
the value
of
the load
L
is
10
kN
find the rea~tions at
A
(ii)
At what value
of
L
will
the crane overturn?
A
horizontal beam
of
length m is supported on rollers at each end, the roller
planes being at
60"
and
30"
respectively to the horizontal
(Fi
the centre it rests on a
s~oot~
peg. For the loadin
reactions.
20
kN
30
kN
0
rizontal and vertical components
of
reaction at
A
and
3
Find the reactions
to
the truss shown in Figure
P5.
l l.
The top inched chord
is
bisected by the inclined strut.
kN