Question

(Influence Line Creation) 

Problem 1. 

Using STATICS DRAW the INFLUENCE LINES for the VERTICAL REACTION AT "A", the SHEAR AT "E", and the MOMENT AT "E". SHOW ALL VALUES. Assume the support 'A' is a pin, "B" and "D" are rollers, and "C" is a hinge. (12 points) 

FREE BODY DIAGRAMS & CALCULATIONS 

Answer 1

FBDI (0) B (280) 1 1 Ro (0) 0 D (242) 10 RE let a unit lood pass from A to D. Duit lood is at distance of a from A. Os xc 102 for CD part no load (R=0 Roro for AB part & EV = 0 RA + RB ²1 EMA = 0 RB (16) = 1 (2) Re - 77 VE=RATI 16 2 No = -2 MERA (10) - 1 (107) 5 (16--) - 10+% 16 16. IME = 3x 8 10 sx< 16ler for CD part no load RB (R=0) Roto IRA = 16-1 16 76 V=RA I'VE 16-2 76 ME RAO ME = (16-1)

16's as2817 IR=0 Ro=0 RA 16-X 16 IRB 16. VE RA 16-x NE ME = RA/10) (ME = $ (16-2) - 285 x 24317 с Tg R Ev=o0 R+RO = 1 <Me 30 Ro (15) = (x - 2.8) IRO X-28 15 R = 43-4 15 R. B. C RA RB SMA - O = Ro (16) = R(28) - 149.3 *)/(38) (43-x) Mo = 0 RA (16) +R(12) = NE=RA - 1 (1) [RB 60 IRA (43-2) 20 (Mc =RA (10) 5 (43)

ILD for Ra 1.2 مهر 0,1 0.6 10,0.375 0.2 Ra 0 16,0 43,0 48,0 43 -7 -0.2 nh 13 23 33 -0.4 -0.8 28,-0.75 1 x(Ft)

ILD for Ve 0.6 0.4 10,0.375 0.2 43,0 0 16,0 13 23 33 43 ve, -0.6 10,-0.625 28,-0.75 -0.8 -1 x(Ft)

ILD for Me 6 4 10,3.75 2 43,0 0 16,0 3 13 23 33 43 Me 2 -4 6 8 28.-7.5 -10 x(Ft)

Answer 2

Answer 3