In structural engineering, the secant formula defines the force per unit area, P / A , that causes a maximum stress σ m in a column of given slenderness ratio L / k : P A = σ m 1 + ( e c / k 2 ) sec [ 0.5 P / ( E A ) ( L / k ) ] where e c / k 2 = the eccentricity ratio and E = the modulus of elasticity. If for a steel beam, E = 200 , 000 MPa, e c / k 2 = 0.2 , and σ m = 250 MPa, compute P / A for L / k = 100 . Recall that sec x = 1 / cos x .
In structural engineering, the secant formula defines the force per unit area, P / A , that causes a maximum stress σ m in a column of given slenderness ratio L / k : P A = σ m 1 + ( e c / k 2 ) sec [ 0.5 P / ( E A ) ( L / k ) ] where e c / k 2 = the eccentricity ratio and E = the modulus of elasticity. If for a steel beam, E = 200 , 000 MPa, e c / k 2 = 0.2 , and σ m = 250 MPa, compute P / A for L / k = 100 . Recall that sec x = 1 / cos x .
In structural engineering, the secant formula defines the force per unit area,
P
/
A
, that causes a maximum stress
σ
m
in a column of given slenderness ratio
L
/
k
:
P
A
=
σ
m
1
+
(
e
c
/
k
2
)
sec
[
0.5
P
/
(
E
A
)
(
L
/
k
)
]
where
e
c
/
k
2
=
the eccentricity ratio and
E
=
the modulus of elasticity. If for a steel beam,
E
=
200
,
000
MPa,
e
c
/
k
2
=
0.2
,
and
σ
m
=
250
MPa, compute
P
/
A
for
L
/
k
=
100
. Recall that sec
x
=
1
/
cos
x
.
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