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 bann rawJ ﬁndinﬁ
QA = R5 =‘ 17.5 kipS Bending Mame«“5:
MA = ‘20 k:r"F+
Mrs . zo + (115)(4) = 20 + 70 Mp.“
Mg r ~20 «i 70 Iain—H. Draw 1‘" Nil Jayum loj par‘fs.
A, = Hula) . I40 /EI‘;
A1= \YOXZ) = Hg/EI A 9 A3: —(20)(g.) 2 ~120/EJ: r
t‘% Place reFerence 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
1552! (b) DLFJ¢¢+3M1 a+ C 1%,] '‘ t”; 73
w = E—f—I—{(luo}(2§)+(Ho)(s3(Iao)(3)g 2 11}
= gal:1 = q”3‘5*'°"’F+ ? (muss g“, b _. ...
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