Beer, Johnston, Eisenberg Vector Mechanics for Engineers – Statics 8 ed Ch4.1-5_2007

Vector Mechanics for Engineers: Statics w/CD-ROM

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/ F\orl.,e.rrot-K Puyr atf Three loads are applied as shown to a light beam supported by cables attached at B and D. Knowing that the maximum allowable tension in each cable is 12 kN and neglecting the weight of the beam, determine the range of values of p for which the loading is safe when P = 5 kl'{' a+, \\ 9erq = O = O = Q = * 5 K N ) (r,5Xo.s^) - Yb.ts*,)r Tu (a,25^) - To (z.z-r,-) - 6 (:.O "^) lo,+s TD ) KtJ srr.) o (3.o -) ( , ) I lnu :* o = t+,s)[",+u) - TB (a,zs-)"4,t") - Q(,+5'^) O : J 6 , l a - 7 , L 5 T B - 0 , + 5 Q Q = b*,s * 3.or*) rxl ( t) frr loJ \o b- :a$e c.a-b\g Cos . nof be sto-.-K enA- {ens\o^ ln^r*$ no* {-'<c.e <-I lz \<U O4-Tg ( lzKtJ o-, d O 6-E < lz KN suLs{,\..r\,1 +te-sc- Valucs t".{d a (t) "^& (t) frr -tp =OFPQ=O E =-rzK$ O= \Kx) lE =OK0 Q= 345sxt - f B = 1 " - K f ) Q = l ' 5 1 4 J S o gv<-v'a-\ o < - Q < R $6. Tu l'5< Q < 3].s Sur Ts t , 5 K r r < Q S - I , O K N
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1 n\ f F x EFx b.^ Ax = A ) . : Q { t\^ 5 b^ Et a^-g \^, { Fr* = ( ,,*\ ( r,."..) + (- r.a ru)(z,o J *r#:.r," )+(p)(a--,)= : -A,qo+ y.NJ - 3,gE? * 6v) = o 66 = q.t"ut KtJ+ 3,Ke! ( r ) 1tr* : h\ - t,z\cu - l,r(t.J -r-1 r-u) = O A ? . ? - , t K h J r t \ - t J ( . ) l)<-- K^o; +t^'^+ *[z-- n,ra-i ,^v6 Vc,.\..,e- {o. EX= z,f,K$ oc O< E\!z,f FL) Sg r^:ttt,n E\- O tJa=\,r.Jn.rr = q,bq*rl, = O,+1 K\) o.,""d- R? 4 z.s- KrJ N\ = A, o 3 K$ ca*+t^"&;{ m"+ Et=O d-i,^ rO.?1 KL) [ : Z,03KN t,)hg*' e .t -- Z.S rtq'-) ;) = d *arr = (q,b{ + 1e,eX.,s))/t, = t,tr, rrJ \: z,q,{ hr*- 4., 2 z,sKJ co^s*r".i,* S^;l*-L \J So wV,e,^, ft.| = Z'f K\) PROBLEM 4.14 For the given loading of the beam AB, determine the range of the mass of the crate for which the system will be in equi knowing that the rnximum allowable value of the reactions support is 2.5 kl.{ md that the reaction at E must be directed
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ttq *"*) 1 c') %(') :o f ,s; K$ = a.r FN, r F1_- t^.) 6t^l= q, 6.{ gLr+ 3,(a1 \,,,<- Si,nu 1g^*ru=\rtr $0.
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