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1129_Mechanics Homework Mechanics of Materials Solution

1129_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 9.119 For the beam and loading shown, determine (a) the slope at end A, (b) the PROBLEM 9'119 deflection at the midpoint C of the beam. Use E a 29 X 106 psi. 17.5 kips 17.5 kips SOLUTION 20 kip — It 20 kip - ft E E: 29am" Psi :- Z‘EWIO' ksi ,1, w1ex31 I = 375' "~ V EI = (zealo‘sts) -‘ [0.875M’0‘ .k:.o--‘n‘ I: 7552.! k:P-_FT‘ deme+ric ban-n raw-J findinfi- QA = R5 =‘ 17.5 kip-S Bending Mame-«“5: MA = ‘20 k:r"F+ Mrs .- -zo + (11-5)(4) = -20 + 70 Mp.“ Mg r ~20 «i 70 Iain—H. Draw 1‘" Nil Jay-um loj par‘fs. A, = Hula) -.- I40 /EI‘; A1= \YOXZ) = Hg/EI A 9 A3:- —(20)(g.) 2 ~120/EJ: r- t‘% Place re-Ference hinged eff C. 9,, = 0 (CL) Spope «1* A. 9A: 9c ' 940 9A T O ‘(A|+A2+A3) = .- ISO/El- : ——L€‘l— = — 2.”? x10" ml. .4 1-552! (b) DLFJ¢¢+3M1 a+ C 1%,] '-‘ t”; 7|3 w = E—f—I—{(luo}(2-§)+(Ho)(s3-(Iao)(3)g 2 1-1} = gal-:1 = q-”3‘5*'°"’F+ ? (muss g“, b _. ...
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