Answer:
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Answer : αaxial,p = -6.034 ksi ( compressive )
αbend,p = 19.648 ksi ( tensile )
Explanation:
αaxial, p = [tex]\frac{-p}{A}[/tex] equation 1
αbend, p = [tex]\frac{(P*A)*\frac{d}{2} }{I_{z} }[/tex] equation 2
P = load = 35 kips
A = area of column = 5.8 [tex]in^{2}[/tex]
d = column cross section depth = 9.5 in
[tex]I_{Z}[/tex] = 55.0 [tex]in^{4}[/tex]
Hence equation 1 becomes
αaxial,p = -35 / 5.8 = - 6.034 ksi ( compressive )
equation 2 becomes
αbend, p = [tex]\frac{(35*6.5)(\frac{9.2}{2}) }{55}[/tex] = + 19.648 ksi ( tensile )