MAE131A_PracticeMT2_Solutions

MAE131A_PracticeMT2_Solutions - MUQ‘ILL‘P-V/l‘nj (23...

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Unformatted text preview: MUQ‘ILL‘P-V/l‘nj (23 Ly 2/ away adj/@133 (l7 \—-221 x ' Ex-t-‘z/Ej = E 6; or €,=1_E7;ZQE,+ v57) -< CH LY 7/ anal Ma’inj +o(2) \ _ 1-7% )3 , €7+VEX ‘?6) 0" @:’;vzk%+vex> "'4 82 E 226’, v63} f~/_ 1C Ex+vsj+Ej+yafl _ _ W“ 7) _. 1_:Jl(£,,+83‘1- ~f;(2 +3.3 ‘4 Q) m? kip-in (a), smH AB ,; TAB = 3.5 we:3 2qu ' Cry: a”): 0.65% __ 2.5 J: fife? TWX" ‘13? “ TC; (7.394210%) 3 3.9 7"“ 7710.653“ gaggle PS . _ Us) Ska-37+ 8C: Tea: 63x10" 154“ V c=fiJ=§(L8)-:o,q;m, J‘:=}c_" ,z/ .__ _: x/O'fips‘. W” TC? 7:70.61“ (I (am-.5,qu less 4 CD chtT; 1' {COED 3‘1"?» w T: mqu fie = P5713: ff (1000): 2500 MM “ For o’éSCfin Based On grass) USE you/fie.» +or7 at. TAE = 2.500 N'”’ ' 400 mm _ I5... 2T ’3 ' J = .772“; 600mm C3: 2.: - -_-_ 1m ‘ New 10% C = 2?.82Xl0’3 w; : 29.82 MM) 09 = 2C = 5‘7,é mm 25.324 w“ m3 Design based? 0m P0+w+iom anfifie CPD = {.50 = 26.18:!10’3NJ SL134 AB: Tm: 2.500 N-m ) L= our m = TL _. (250029.42 _ .1292. g)”. " GE 33' " GI = z 1000 626M CPS (Pm (73 I = P6 = 1-9-0." [000 __ 2500 (39¢ 73 C98 H0 GJ “ GJ SMH CD 710 = loco MM) 1.: 0.2 m Cp ._. fl: : (loco)(o,ég : 600 7 “3 Gd“ 7 Gd" = : 250° £02. _ 3/00 _ s/oo CPD (7)“ “736° 6dr + w ' Gs" ‘ G-I‘C“ fl: (23C3l00) _ gamma) _ / — -I’ Q W G" 90:: 7T(77¥/0’D<2c.18x!o‘35 ‘ 37106 ” ’0 M c = 31.44 xzd‘m 2 sum mm) a) = 2C = 31;, m1 DQSI‘EW “0064‘ 056. \prue ‘F‘N‘ ‘a’r d = mm A For the concrete beam shown, the modulus of elasticity is 25 GPa f0 concrete and 200 GPa for the steel. Knowing that b = 200 mm and d = 450 m using an allowable stress of 12.5 MPa for the concrete and 140 MPa for the determine (a) the required area A: of the steel reinforcement if the beam is, balanced, (b) the largest allowable bending moment. _ F‘s‘ zoole‘Y = “ ‘ :‘ 25y/o‘1 3'0 ‘5 I I g n (gt-x3 i i : X = V! x - Y3 _ L5 _ :: a?“ I + W é ’ i + 8-0 mswoe 2'40 z = O.’—Héé7d =(oArée7qum = l87.5 mm Loan/+2 mca'iflml? 044's, lbw-)5 —. n AS (ai—¥\ 2 578— -— :': mmz AS: l67‘imm24 (a) As Zn (cl-fl (23(8.0)CX$2~53 I = it: x3 + nAs (pl—le: 3L(7003(127.sl3+(aowmflflzélfl‘ I... = l. 3cm x 10" MM” = Lsczsx 10‘s in 6;:- 3.111 MZLIE I my Compote '1 n 4.1.0 :1 = 1375M»; 0.)375'm 6: 12.5«10‘ Pa M: z €10.82103N-m (1,0)(o.t$753 steer/Q: n = 8.0 3: 242.51“ = 0.2e25‘m 6‘: Hovlo‘ Pa. M = Mafiézg’udsuqoy we) = 90-3 x103 U-m V (KOMOJLGZSX No‘i'e 'Hna‘l lac-‘Hx Vogue: awo— ‘HUL same ‘Pol‘ La/QMCEJ 796533“, , l (a M: 70.3 kwmd ...
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MAE131A_PracticeMT2_Solutions - MUQ‘ILL‘P-V/l‘nj (23...

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