sm9 49

_______________________________________________________________________
PROBLEM (9.49) A cold-rolled beam of W 410 x 60 section (see Table B.8) supports an
axial tensile load P =400 kN, which does not pass through the centroid. What is the largest
eccentricity ?
y
e
Given: = 0, (
z
et
σ
)all = 120 MPa, ( c
σ
)all = 80 MPa
SOLUTION
, kNP 400=400 y
M
e=
At point B:
B
B
M
c
P
AI
σ =+
B
P
D
A
P
y
z407 m
m
C
ey
ey
W410x60 32
7.61 10Am
−
=×
64
216 10
I
m
−
=×
x
3
636
400 (0.2035)
400 10
80 10 7.61 10 216 10
y
e
−−
×
×= +
××
80 52.6 376.9 , 72.8
yy
ee m=+ = m
m
At point A:
120 52.6 376.9 , 179
Ayy
ee m
σ
=− = − =
Thus,
(
max
) 72.8
y
emm=
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