Information Technology Reference
In-Depth Information
FIGURE P3.16
3.19 Consider a beam of length 100 in. which is free on the left end and fixed on the right
end. A linearly varying load begins at 0 lb/in. at the free end and increases to 500
lb/in. at the fixed end. Find the deflection at the free end if
E
10
6
=
30
(
)
psi and
150 in.
4
I
=
Answer:
0.37 in.
3.20 Solve again the beam of Problem 3.19 if an extension spring with a constant of 1000
lb/in. is connected to the free end.
Answer:
0.34 in.
3.21 Compute the vertical displacement of point
d
of the frame of Fig. P3.21.
Answer:
V
d
=−
p
0
L
4
/(
6
EI
)
3.22 Determine the displacements of the end of the curved bar of Fig. P3.22a. Consider
axial, shear deformation, and bending effects.
Hint:
Make use of the geometry of Fig. P3.22b. Apply unit horizontal and vertical
forces and a moment at point
a
.
Answer:
R
2
EI
PR
2
1
EA
+
1
k
s
GA
+
V
horizontal
=
−
1
EA
+
,
V
vertical
=
π
PR
4
1
k
s
GA
+
R
2
EI
PR
2
EI
Rotation
=
FIGURE P3.21
Frame.
Search WWH ::
Custom Search