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sm9 49

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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 e y ?
Given:
ez = 0,
( σ t ) all = 120 MPa,
( σ c ) all = 80 MPa
SOLUTION
y
B
P
ey
P = 400 kN ,
x
ey
P
z
D
C
407 mm
A
M = 400ey
W410x60
At point B:
P Mc
σB = + B
A
I
400 ×103 400ey (0.2035)
+
80 ×106 =
7.61× 10−3
216 × 10−6
ey = 72.8 mm
80 = 52.6 + 376.9ey ,
At point A:
σ A = −120 = 52.6 − 376.9ey ,
A = 7.61× 10−3 m 2
I = 216 × 10−6 m 4
ey = 179 mm
Thus,
(ey ) max = 72.8 mm
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