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# HW 11 - IIOin.~lOin r 7)1 PROBLEM 4.25 Determine the...

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IIOin.~lOin. PROBLEM 4.25 r Determine the reactions at A and B when (a) a = O. (b) a = 90°, 7.')1) lb. ill. (e) «=30°, 12 in. SOLUTION (a) a=O (b) a-90" 'JrDJ6.iII T B /7;'" ".1. : -J (e) «=30° Trr==F=l! IV;" . e, R rfj :" .. " tI..; A ,;n; I' . +jI:M A =0: .±...IF,=O: +1 IF,=O: +)l:M.~ =0: .±...IFA=O: +1 IF'y =0: .... IF. . =0' . +IIF, = 0: B(20in.)-750Ib·in.=O B=37.51b A,=O A,+37.5lb=0 A, =-37.51b A=37.5lb! B=37.51bj<li B(12in.)-7501b·in.=O B =62.51b A,-62.5Ib=0, A,=62.5Ib A, =0 A=62.5Ib- B=62.51~ - <Ii (Bcos300)(20 in.) + (Bsin300)(l2 in.)- 750 lb· in.= 0 B=32.16Ib A, - (32.16 Ib) sin 30 0 = 0 A, =16.08Ib Ay+(32.16Ib)cos30"=O A,=-27.85Ib A=32.16Ib «=60.0° A = 32.21b '" 60.0 0 B = 32.21b .... 60.0 0 <Ii

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PROBLEM 4.59 Eight identical 500 x 750·mm rectangular plates, each of mass m = 40 kg, are held in a vertical plane as shown. All connections consist of frictionless pins, rollers, or short links. In each case, determine whether (0) the plate is completely, partially, or improperly constrained, (b) the reactions are statically determinate or indeterminate, (c) the equilibrium of the plate is maintained in the position shown. Also, wherever possible, eompute the reactions.
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