Problem 2.12-10
Two cables, each having a length
L
of approximately 40 m, support a
loaded container of weight
W
(see figure). The cables, which have effective cross-sectional
area
A
48.0 mm
2
and effective modulus of elasticity
E
160 GPa, are identical except
that one cable is longer than the other when they are hanging separately and unloaded. The
difference in lengths is
d
100 mm. The cables are made of steel having an elastoplastic
stress-strain diagram with
Y
500 MPa. Assume that the weight
W
is initially zero and is
slowly increased by the addition of material to the container.
(a)
Determine the weight
W
Y
that first produces yielding of the shorter cable. Also,
determine the corresponding elongation
Y
of the shorter cable.
(b)
Determine the weight
W
P
that produces yielding of both cables. Also, determine the
elongation
P
of the shorter cable when the weight
W
just reaches the value
W
P
.
(c)
Construct a load-displacement diagram showing the weight
W
as ordinate and the
elongation
of the shorter cable as abscissa. (
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- Spring '08
- Armanios
- Orders of magnitude, Cables
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