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571_Mechanics Homework Mechanics of Materials Solution

571_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 5.87 and 5.88 Knowing that the allowable normal stress for the steel used is 24 ksi,.select the most economical S-shape beam to support the loading shown. PROBLEM 5.88 4S kip; 48 kip: SOLUTION + ZME -.- o (axes)— to B+(e)(.us)+<zxus) = o B 7 \OS'.‘ ‘69: + 73MB, = 0 (2mm ~ (aces) 4:310:31 4 10 E . o E = 33.q kIHP! Shear-3 A h B V = - 5'8 .Jkips B +.: c ve-Hs + rosze :- 51: M9: Chi) V257.G-H9= 9.6159: D+¢E V: 9.6-H8 .- —38.4 lap: Areas: A '3 (23048) = -?6 lay-H 13 +9 c (2)314) - “5.2 kip-H c +u ‘D (cum) , 57.; mph D +. E (QM-38.4) - 76.8 Icy-H Sampling meme/1+3: MA = 0 ME, : o - 46 : -qe.#1<;P-H M; * ~46 Hm: = 19.2 mph M9 = m.1+sz2 r 76.8 kip“- Me = 7¢.8-76.8 = o Maximum 1M“ Qt; 369'“ 3 H51 [ﬁr-in L53 L+es+ \$-- aﬁafod beam 5 15 x 42.9 ...
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