Graphics Programs Reference
In-Depth Information
16.
L
2
L
2
Length =
s
O
A steel cable of length
s
issuspendedas shown in the figure. Themaximumtensile
stress in the cable, which occurs at the supports, is
σ
max
=
σ
0
cosh
β
where
γ
L
β
=
2
σ
0
σ
0
=
tensile stress in the cable at
O
γ
=
weight of the cable per unit volume
=
L
horizontalspan of the cable
The length to span ratio of the cable is related to
β
by
s
L
=
1
β
sinh
β
10
3
N/m
3
(steel),
L
Find
σ
max
if
γ
=
77
×
=
1000 m and
s
=
1100 m.
17.
c
e
P
P
L
The aluminumW310
202 (wide flange) column issubjected to an eccentric axial
load
P
as shown. The maximum compressivestress in the column is givenbythe
so-called
secant formula
:
×
1
sec
L
2
r
¯
ec
r
2
E
σ
max
=
σ
¯
+
where
σ
=
¯
P
/
A
=
averagestress
25 800 mm
2
A
=
=
cross-sectional area of the column
e
=
85 mm
=
eccentricity of the load
=
=
c
170 mm
half-depth of the column
r
=
142mm
=
radiusofgyration of the cross section
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