HW32 - pROBLEM 9_1 9.] through 9.4 For the loading shown,...

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Unformatted text preview: pROBLEM 9_1 9.] through 9.4 For the loading shown, determine (a) the equation of the elastic curve for the cantilever beam AB, (b) the deflection at the free end, (c) the slope at the free end. SOLUTION (a) Epas+fc Cu r ve 9.1 through 9.4 For the loading shown, determine (a) the equation of the elastic curve PROBLEM 9.4 for the cantilever beam AB, (b) the deflection at the free end, (c) the slope at the free end. SOLUTION IZOL OI—O+O—O+O +0:- 1. . (a) Emu-He Curve : —fle._ (ELLz’x, — fiLx" + J—X“) '20 (la) y@x=L PROBLEM 9,9 9.9 and 9.10 For the beam and loading shown, (a) express the magnitude and location of the maximum deflection in terms of w, L, E, and I . (b) Calculate the value of the maximum deflection, assuming that beam AB is a W!!! X 50 rolled shape and that w" = 4.5 kips/fi, L = 18 fl, and E = 29 X 10‘ psi. “It, SOLUTION Ustna en‘krz beam as Q 'Free lamb; 92MB = o 43.1. +(Ja-W9Ll(§)=o RA t'éw‘J‘ Usénfl AI «.5 4.43m: Lady 92-MJ = o 1 —-é—w.Lx+(-§1"fl)(—§)+ M = o [w=o,]=o] oro—0+o +C.‘z C‘=o wL‘ fxrl-JJHD] o = é‘zWoL'-,-,L;W0L’ + CL 4 o C 7 — gag... l .5 Epcesl'ic curve 3/ = Eff {iLXS -;21; “E— -37:_’ Ex} al N " 7 2:? emf-55f “.37an To Ixu‘i'u‘o-n 0F laminar-n Jajeg‘f‘ion 53‘," Si = O :_ q_ q o x1"= BOL 17001. HZOL '1ij - 30!.”th + 7H ll "" ‘50 x; _-(l- JEM‘ = 01:97 Lz xhr 0.5:93 L .- 3”: figsslaL(o_51q3L)3_uLa W) -530 L3(0.5l‘?3 1.)} ll = - 0.00652 or 0.00652 # l "" w.= 4-5 ups/H = 5%? = 375 IL/i‘nd L= 18H - 21cm. 1 = 800 M‘ 4?... wlsxs‘o _ (0.00652 3(375) :UGY' _ . 3”“ “7" "'- ...
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This note was uploaded on 12/09/2009 for the course CE 3400 taught by Professor Moorthy during the Fall '09 term at LSU.

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HW32 - pROBLEM 9_1 9.] through 9.4 For the loading shown,...

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