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Unformatted text preview: 132 ~— Chapter 3 ‘
Free Body Diagrams and Equilibrium the reactions at the tWo supports. Note that the 3.33 For the beam, shown in Fig. P333, determine
the radii of the two pulleys are the same and arm CD is rigidly attached to the beam. Also,
equal to 0.25 m. Fig. P333 3.34 A long slender pole is to be erected by a winch and cable arrangement that is mounted on a , , truck, as illustrated in Fig. P334. . .
If the pole weighs 1,800 lb and is , . , ,
40 ft long, determine the reactions . “
at point 0 and the force in the
cable. Consider angles 0 varying
from 20° to 75°. A pivot is
attached to the base of the pole so
that it may be rotated Without a
resisting moment (i.e. acts like a pm) Fig. P334 3.35 For the crane, described in Fig. P335, determine the maximum load WL that can be lifted ‘ 1 before the crane tips. Note, the crane weights 23 kN. Fig. P335 Statics —— 133 3.36 For the crane, illustrated in Fig. P336, determine the maximum load that can be lifted before .3
the crane tips. Note, the crane weights
8.8 ton. ' CENTER OF Fig. P336 120 in. 148 in. 3.37 Determine the reaction forces and moments at the support for the stadium structure shown in
Fig. P337. Fig. P337 3.38 Determine the reaction forces at pins A and B that support the gusset plate shown in Fig.
P338. Assume that the vertical components of the reaction forces
at the pins are equal (i.e. RAy = RBy) 9 in. F1g.P3.38 8,000 lb 12,000 lb 3.39 For the tension bar, shown in Fig. P339, determine the internal tension force P at sections A
A and BB. Fig. P339 134 —— Chapter 3
Free Body Diagrams and Equilibrium 3.40 For the beam, Shown in Fig. P3.40, determine the internal shear force V and the internal
moment M at the position x = L/3. Fig. P3 .40 3.41 For the beam, shown in Fig. P3.40, determine the internal shear force V and the internal
moment M as a function of position for O < x < L. Prepare a graph of M and V as a function of x. 3.42 For the beam, shown in Fig. P3.42, determine the internal shear force V and the internal moment M at position x = 3L/4. Present your
results in terms of q and L, which are known quantities. Fig. P3.42 3.43 For the beam, shown, in Fig. P3.42, determine the internal shear force V and the internal
moment M as a ftmction of position x. Prepare a graph of M and V as a function of X. ' 3.44 For the beam, shown in Fig. P3.44, determine the internal shear force V and the internal
moment M at position x = 3L/5. Present your 7?
results in terms of F and L, which are known quantities. Fig. P3.44 3.45 For the beam, shown in Fig. P3.44, determine the internal shear force V and the internal
moment M as a function of position x. Prepare a graph of M and V as a function of x. 3.46 For the beam, shown in Fig. P3.46, determine the internal shear force V and the internal
moment M at the position ‘x = 12 it. Fig. P3.46 3.47 For the beam, shown in Fig. P3.46, determine the internal shear force V and the internal
moment M as a function of position x. Prepare a graph of M and V as a function of X. Statics — 135 3.48 For the Cclamp, shown in Fig. P3.48, determine the internal forces P and V and the internal
moment M2 at section AA. The force F applied by the screw is 325 lb and the dimension D,
which deﬁnes the distance from the screw to the centerline of the Cclamp is 1.75 in. Fig. P3.48 3.49 A new factory for heavy machinery has an assembly line with component parts stored above
ﬂoor level. The components used in assembly are in elevated bins (#1, #2, and #3) as shown
in Fig. P3.49. The elevated bins are suspended from a frame ABCD. Prepare a FBD of the
left portion of the ﬂame ﬁom Section A—A to the roller support at point A. Determine the
internal forces and moment at section AA as a function of the loads W1, W2 and W3. Locate
Section AA at position x = 0.40L and consider the loads W1, W2 and W3 as known quantities.
Assume that the centers of each bin are located at the
following points: x1 = 0.25L, x2 = 0.50L and x3 =
0.75L. F1g.P3.49 \\\\\\\\\\\\\ ...
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 Spring '08
 CHEN

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