Prob. 2.3-7. For small loads, P, the rotation of "rigid" beam AF in Fig. P2.3-7 is controlled by the stretching of rod AB. For larger loads, the beam comes into contact with the top of col- umn DE, and further resistance to rotation is shared by the rod and the column. Assume (and later show that this is a valid as- sumption) that the angle e through which beam AF rotates is small enough that points on the beam essentially move verti- cally, even though they actually move on circular paths about the fixed pin at C. (a) A load P is applied at end F that is just sufficient to close the 1.5-mm gap between the beam and the top of the column at D. What is the strain, e, in rod AB for this value of load P? (b) If load P is increased further until e, 0.001 , what is the corresponding strain, e, in column DE? -3 m F Gap 1.5 mm 4 m (1) (2) 3 m B P2.3-7
Prob. 2.3-7. For small loads, P, the rotation of "rigid" beam AF in Fig. P2.3-7 is controlled by the stretching of rod AB. For larger loads, the beam comes into contact with the top of col- umn DE, and further resistance to rotation is shared by the rod and the column. Assume (and later show that this is a valid as- sumption) that the angle e through which beam AF rotates is small enough that points on the beam essentially move verti- cally, even though they actually move on circular paths about the fixed pin at C. (a) A load P is applied at end F that is just sufficient to close the 1.5-mm gap between the beam and the top of the column at D. What is the strain, e, in rod AB for this value of load P? (b) If load P is increased further until e, 0.001 , what is the corresponding strain, e, in column DE? -3 m F Gap 1.5 mm 4 m (1) (2) 3 m B P2.3-7
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:strain free, before the lantern is hung. When the lantern
is hung, it causes a 50-mm sag in the wire. Determine the
Prob. 2.3-6. Determine an expression for the extensional
strain e(x) at cross section x (0sxsL) of the hanging con-
ical frustum in Prob. 2.2-4, and (b) determine an expression
for the total elongation, e, of this hanging conical frustum in
Prob. 2.2-4. The conical-frustum rod is made of material for
which o = Ee, with E= const.
Prob. 2.3-7. For small loads, P, the rotation of "rigid" beam AF
in Fig. P2.3-7 is controlled by the stretching of rod AB. For
larger loads, the beam comes into contact with the top of col-
umn DE, and further resistance to rotation is shared by the rod
and the column. Assume (and later show that this is a valid as-
sumption) that the angle 0 through which beam AF rotates is
small enough that points on the beam essentially move verti-
cally, even though they actually move on circular paths about
the fixed pin at C. (a) A load P is applied at end F that is just
sufficient to close the 1.5-mm gap between the beam and the
top of the column at D. What is the strain, e, in rod AB for this
value of load P? (b) If load P is increased further until e, =
0.001 m, what is the corresponding strain, e, in column DE?
3m
2 m
F
Gap = 1.5 mm
4 m
(1)
(2)
3 m
P2.3-7
Prob. 2.3-8. Vertical rods (1), (2), and (3) are all strain
free when they are initially pinned to a straight, rigid,
6 ft
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