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Draw the influence lines for the reaction at 4 and for the shear and moment at points B and C. The rocker at D is equivalent to a roller. a. pis te, tL __ »"-____| PR For the beam shown in Figure P8.2, draw the influence lines for the reactions Mand Rand the shear and moment at point B. PBZ 4 MN ACL (a) Draw the influence lines for reactions M4, Ra, and Re of the beam in Figure P8.4. (6) Assuming that the span can be loaded with a 1.2 kips/ft uniform load of variable length, determine the maximum positive and negative values of the reactions, C A 6 an) My fe, Hniae rome i 6 a Re () 44 . Ra o bo me +L +i. a) ° ae Re ; | o —{o ST (b) +Re Mane 5) 2 her 248.1% +MA Maxe V2 (48X14) 12 Yer. = to7, 2K = Ra man.e (-'2\('/2)(3) 12 Yer = -0.4" —Re MAX. =0 -Mamax.= YeCAYa)eWer = -72Frk (a) Draw the influence lines for reactions Ra, Rp, and Rr of the beam in Figure P8.5 and the shear and moment at £. (b) Assuming that the span can be loaded with a 1.2 kips/ft uniform load of variable length, determine hinge the maximum positive and negative values of the [eg ges grab grade ge fe ged reactions. PSS me “2 Reactions PRODUCED BY Wa L2Kips/f4 Ra swA = L2kea(s 12! x 3) = 10,2 kips f Rp = 12[% Ca) 4]+ 12 !ex4(-4)] = ~Bhips | Lope (72) Zo} = 18 kios i Re U2 (Ya «lax 6%) = 2 3.tckips | 1.2 (Ye 4) + 02 (12 036x4) = 14 Kips4 Using the Miiller-Breslau principle, B c D sketch the shape of the influence lines for the reactions ESTEE OI is FOEAEER Bei Bei and internal forces noted below each structure. feneen 12 anne —— 12 he 6 My, Rg, Me. and Veto lett of sapport C) PEG Nir ESSN Using the Miiller—Breslau principle, sketch the shape of the influence lines for the reactions and internal forces noted below each structure. | 127 —t—-¢» —-_ — 1 —.— 12°} Ry, Vy to left of support B).¥p (to right of support 2), Mc, and Vc PRO ~ Re | 23 | 2 ° Ve (Lert oF SUPPORT B) | Ay as Ve (RUT OF suprorr 6) @ -8 25 | 0 For the beam shown in Figure P8.12, draw the influence lines for the reactions at A, B, and F*, the end moment at F, shears to the left and right of support B, and shear at E. em ed nel dm tt mts nl PRIZ od 9 Rr ° 2 "9 Mr | NF Ole | © = Ve (EFT of suryorT B) D Jo Vel RIAHT aeSUPRZRS B) 0 ‘| —te Ve 
