31_Mechanics Homework Mechanics of Materials Solution

# 31_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: , mmwv—w , ,7 ,-- 7 1,_ wr-g-v—w—Trzr "Trim,“ 77m ,7 ﬂaky “.ytnmﬁ. , wawrw :-'-'- u. [.42 Members AB and AC of the truss shown consist of bars of square cross section made of the same alloy. It is known that a 20-mm—square bar of the same alloy was tested to failure and that an ultimate ioad of 120 kN was recorded. [fa factor of safety of 32 is to be achieved for both bars, determine the required dimensions of the cross section of (a) bar AB, (b) bar AC. .4m ._1. SOLUTION Lena-H» 0'? member AB Jan = W = Use en+€v~e “Hus: as a -Free bani)! 1-“ A; 4039(3) =0 A,» igw A,-— 28:0 Ar=28kN Us: 30in} A as '9”: body \$' IF; = O alas-RB '- = o 0.35 ” 0.85m C F... as = -————C—‘°*3" '5‘ = :7 m 0.75 425=o A7 ‘ Fir. ' 59%- En = 0 F“ = 23 _ \$623591)" :1 20 kN For Hue +es+ bar A : (0.020]: = 400 We“ m‘ 19., : I20 #03 N 61,: R _ rzowo’ For +Le Mw’icrfmp A — H-OOXIO" (0.1 For MQMLQP AB ﬂ, 03.5.) Fm Fs=ﬂg -—6—‘“-A=-—6_£9;. " Fig Fan. F“ )3. #7 «10'3 m CL: 1 _P.. __6;A_,€gb (in) For memlger AC 128. - FA; FR. _ F“ b1 .. (F153 Fur. _ .7. 0x 3) .- ‘ 5"” " 300 no“ , i): HLGI No" in : 3-2)“?XID‘J I: [SI-ﬁnia- aoxlo‘ 2:3 .33 mi = 300 xio‘ Pa. C M1. (- ‘1 M l3.Q-7 mm 1‘ ...
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