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1099_Mechanics Homework Mechanics of Materials Solution

1099_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 9.89 Beam AC rests on the cantilever beam DE, as shown. Knowing that a W410 X 38.8 rolled-steel shape is used for each beam, determine for the loa'ding shown (a) the. deflection at point B, (b) the deflection at point D. Use E = 200 GPa. PROBLEM 9.89 30 kN/m SOLUTION Uni-is: Forces in kNJ Jena-His 'in m. Using -Fv‘ee body ABC: DE M" = o 14.4 R; - (4.4)(3a)(2.2) r 0 P: - «.0 w E= 200):qu Pa, 1: = :27 «10‘ mi -.- I27x 10“ w.‘ . EI= QoonIO‘Kmxno“) - 25,4»‘10‘ um‘ 9‘ = 25400 kid-m" D c F For 5/9092 anti vie-Ffec'i'a‘o-n sci C) Use Case I) AppemiinD afpju'ra-i 'i'o Par+uanE a'F beam DCE. _ [34" _ (cc.q)§2.2)‘_ -3 6c. _ 75E? _ (23(25‘i0‘95 _ 612382)!!!) 'Moi- : —.EL__L3 -: _____('G€.O)(2.2)32 -‘i, 222'] ‘3 3‘ 35: (sucrzs’eoo) "° "' De-Fpeoi’ion n:i' B ”Sowing Ha’r Pm‘n'i‘ C elves 110+ MOVE. ~ -_ 5w“ _ 5 3o M)" Us; C‘s“ G A? Append” 13' Us)‘ ' 38‘! E]: "i(§_2§'3‘(15(§'w—o) = “97:42 x10“ AAJII'}I.OVI mi JQ‘PPCe‘i'ian ad" 8 aide ‘iD movemen‘i' o'Frfmfn‘i‘ C. (jar; £3; - g ‘i,éi13¥10-3 m Tying? o’e'PIPeo'I‘i‘om ed” B 33:08)”. (3“,)1 -.- _-. 10.3gx'0‘3m = 10.38:».«1 -‘ ‘Por’i‘ion DC 0‘? beam 'DCB remains SMl-a H“. .Yo = J:— "aee. ’ “9-2127vh53- (2.2)(62292Hd') =' ‘23.!ND‘SM = 23.i MM‘L ‘- ...
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