44_Mechanics Homework Mechanics of Materials Solution - PROBLEM 1.57*1.57 A 40-kg platform is attached to the end B of a 50-kg wooden beam AB which is

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Unformatted text preview: PROBLEM 1.57 *1.57 A 40-kg platform is attached to the end B of a 50-kg wooden beam AB, which is supported as shown by a pin at A and by a slender steel rod BC with a lZ-kN ultimate load. (a) Using the Load and Resistance Factor Design method with a resistance factor 05 = 0.90 and load factors ya = 1.25 and n = 1.6, determine the largest load which can be safely placed on the platform. (12) What is the corresponding conventional factor of safety for rod BC ’1 SOLUTION 922m = o (“5311? - 2.4 w: -I.2 M For elem? ﬂaming w, = woman r 392.4 N w: -.- (503mm) : I-l-‘la..S'N ‘PD = (§X3aa.4) +(§)(4‘l0.$3 - Loczz x lo‘ N For Ptue. .poao’l'nﬂ 'W: = mg W; = 0 PL = €- mg 43mm wkllalﬁ m = % g5- Design cantata-Con papa +' 71-13:. = (PP, F1 ._.. Q13“ - Y. E: _ {9.901(I2wlo‘) - (l.2$')(l.0628rlod) YL " LG = 5.?20xw‘ N A‘Wowwhﬁe foul W)" i 5';——~3--—:ll° '-'-‘ 3G2 k3 Con vew‘i't'ovl a.) 'Facli‘ov- sat-F94», P e PH R = l.0628 wzo‘ 4- 5.920210” = ensue" N ES, 3 ﬁ— : Wm HO: = . P (383x103 I 7'8 ...
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