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587_Mechanics Homework Mechanics of Materials Solution

587_Mechanics Homework Mechanics of Materials Solution - 1...

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Unformatted text preview: 1;, I E 31 "‘L__._ ._1 L ._ ' E Ll._ ‘ LA__1 f—T .1" ‘nL _ _. A, 5.104 A uniformly distributed load of 84 mm: is to be supported over the S-m span PROBLEM 5.194 shown. Knowmg that the allowable normal stress for the steel used is 165 MPa, determme (a) the smallest allowable length I of beam CD ifthe W 310 x 74 beamAB shape which should be used for beam CD. Neglect W310 x 74 SOLUTION For loo-39:43 sled sec-Ham W‘SIO N74 of beam AB 5: toeouzo‘ mm“ 9 Ioeowo“ m‘ 6",: 1:: M9... = ICSHO‘ Po. ”Pauletzja banana meme-4+ ' M.“ = s 6‘.” = locowcf‘lCiGSHO‘)*l‘Hfluio'N : [74.9 klU-IM Ba 5Y’"”“’+‘M/ weaz’ll'on‘s A and 8 art 270‘}. +12%“) A4 B-(5K34)=° A = B .- 210 kN By sijdlryJ ”when a" C QHJ D AM 131“}. +TZF3=O C+D~Sllfi=o C. =' 'D = 5‘24? GEOM—t‘i'rj 0.. = “LCS-J’) Beam AB: Area. A +oC or since,» (Jajfam italfmm 2 i-fls—flleomzfi) .- {70050 - uzfl‘) Bend-Haj Nome-v" OJ" C ‘4"(1'05'0- 921)") 2.233 - _ , = z: . 121.3w 12mm: “1950 Hf) ‘79-? 1 3.34%." “m m 2: 2.888 m 4 m8 gemco 5,0 = L42}.- Ins w Beam CD (hs'JporA'l' E 3 Aves. C'E'brE o‘P shear diagram fluwnuansw -- 9153 1mm. Bench}. Mame-d. d’ E M '-' 37.53 kV-M ‘: 87.58::IOSNm. 6:,” ‘-" l 5 ”10" P4, 3 W = 53!: 10"»? - 53: v/o’ mm W 460 “.52 (5} Use W 310 x 38-7 WI‘HO‘I 39.? w 360 x 39 w 310 visa? W ZSDI‘W.9 W 20055:: ...
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