HW32

# 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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