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396_Mechanics Homework Mechanics of Materials Solution

# 396_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 4.134 A vertical force P of magnitude 20 kips is applied at a point C located on the PROBLEM 4.134 line of symmetry of the cross section of a short column. Knowing that y = 5 in., determine (a) the stress at point A, (b) the stress at point B, (c) the location of the neutral axis. SOLUTION Lo C¢+g Cen'é'ros'd' cew+r-‘c.+~/ a? 2004' e t 5— 3.8 ‘-' 1.2 ha, EC. 1. = fi€€¥603+02m2f = 2:.2sw I, = ,-‘.;<2)(4)‘+{8)0.3Y = 36.587 :n“ I = Lu:z = 51397;"? (a) swess ai A CA: 3.8;:»: + (20)(1.2\(3.83 57.867 ‘5 0.4576 k5: -32 20 (53 Stress at C3 = G— 3.8 T 2.2 in E __'E’_ _ PQCQ = _--.... -W’W‘Z (9-2 = —: cn12 Jess A I 2.» 57.367 ’ (CD Locality/1 a'F newt-my axl‘sf G": O 6 : .3 + P80. -— o ' La— — ' A I ”I A I 57.867 ‘ = —- = -——_ = .4”. 0" Ac aoxm) 2 " Nee-try? axis ﬁes 2.4!! .‘n. LePov central? or 3.8 -2.tlH = I.’389 in «Low. Poi“+ A. Answer [.389 fl"! PNM' Puiv‘f A ‘ ...
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