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 , what is the corresponding strain, , in column DE? -3m- Gap 1.5 mm 4 m(1) (2) 3 m
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 , what is the corresponding strain, , in column DE? -3m- Gap 1.5 mm 4 m(1) (2) 3 m
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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 , what is the corresponding strain, e, in column DE?
3m
Gap 1.5 mm
4 m (1)
(2)
3 m
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