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1280_Mechanics Homework Mechanics of Materials Solution

# 1280_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 10.103 A sewn lumber column of rectangular cross section has a 7.2-1! effective length and supports a 9.2 kip load as shown. The sizes available for use have b equal to 3.5 in., 5.5 in., 7.5 in. and 9.5 in. The grade of wood has an adjusted allowable stress for compression parallel to the grain ac = 1180 psi and E = 1.2 x 10‘ psi. Use the allowable-stress method to determine the lightest section that can be used. PROBLEM I 0. 104 10.104 Solve Prob. 10.103, assuming that e = 3.2 in. SOLUTION Saw/V1 yum bean? 6;:“301951' E: l..2>n'O‘ Psi c = 0.3 14; :o_3oo Lg: 7-2 ‘H :I 86.9 in. BE.” Pﬂec _ _ 6:” A 4 Ix " 6:1? Poa‘ “— 4 g p A Ir e =31».- c “1(25') =3.7§iu A= 7.5L 1,:- fq- b (7.533 = 35.156 to ﬂ_‘___. I _ .L + a: + (32);;155 “ 2-1057 b Pm '-' 2.1067 b 6.4, A 1, 519 5311:: lo If 0‘ = 7.51m. 0!; b; whl‘alaeuu‘ is Sana/jar -: M. _ K Ea" {0.3002(l.2xlo‘3d‘ 1 . 6“ (Lu): ' "'55?“ = (gm): ‘ ”8‘2“" (PM 0;, m: = #8.22fa"/nso = 0.04037 A‘ _ l Q's/6: : ei’ C? _ _t_a_c____ ._ (J:%.&)I_ (ft/6; 5',” = 6; C? = HBO C‘: P,“ .— (2.|o+37\ b (1180 C9 = 73% 10C... CapCJPa-‘l‘e P41 {30¢ a” “Few Values 0'? b. See "13.13.02 192,901.). P = 9200 .91». Use b 7 5.5 in. ...
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