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Statics 2e 1307
For 2L=3xL,
VDVC
x
Z
xC
wdx (23)
D w0L
x
Z
0dx D w0L
Prob. 8.85 for the shear and moment diagrams.
1308 Solutions Manual
Problem 8.88
The device shown is used in a factory to support a tool that applies a
60
N
vertical force at
D
. It has the feature that portion
CD
can slide to the right
when the tool is needed, and can slide to the left when the tool is to be stored,
such that
50 mm d200 mm
. Determine the shear and moment in beam
AB
as functions of position, and draw the shear and moment diagrams. Neglect
the size of the rollers at Band C.dD200 mm.
Problem 8.89
The device shown is used in a factory to support a tool that applies a
60
N
vertical force at
D
. It has the feature that portion
CD
can slide to the right
when the tool is needed, and can slide to the left when the tool is to be stored,
such that
50 mm d200 mm
. Determine the shear and moment in beam
AB
as functions of position, and draw the shear and moment diagrams. Neglect
the size of the rollers at Band C.dD100 mm.
Problem 8.90
The device shown is used in a factory to support a tool that applies a
60
N
vertical force at
D
. It has the feature that portion
CD
can slide to the right
when the tool is needed, and can slide to the left when the tool is to be stored,
such that
50 mm d200 mm
. Determine the shear and moment in beam
AB
as functions of position, and draw the shear and moment diagrams. Neglect
the size of the rollers at Band C.dD50 mm.
Problem 8.91
(a)
For the cantilever beam shown in Fig. P8.91(a), determine the shear
and moment as functions of position. Express your answers in terms of
parameters such as P,a, and b.
(b)
For the cantilever beam with the three forces shown in Fig. P8.91(b), use
superposition of the results of Part (a) to determine shear and moment as
functions of position, and draw the shear and moment diagrams.
Problem 8.92
Draw the shear and moment diagrams for the beam and loading shown. Determi-
nation of the shear and moment as functions of position is not required.
1316 Solutions Manual
xP
„ƒ‚ …
area under V
vs. xplot
between xP
and xQ
Hence
MAD0; (16)
„ƒ‚…
expected
Using these results, the moment diagram may be drawn as follows.
Problem 8.93
Draw the shear and moment diagrams for the beam and loading shown. Determi-
nation of the shear and moment as functions of position is not required.
1318 Solutions Manual
Using these results, the shear diagram may be drawn as follows.
xP
„ƒ‚ …
area under V
vs. xplot
between xP
and xQ
Hence
MAD0; (12)
„ƒ‚…
expected
Using these results, the moment diagram may be drawn as follows.
