Question

My answers are incorrect. need help

The structure shown below is supported by a pin and roller on an inclined surface that is parallel to the line connecting joints A and G. Given that P= 480 lb. 18 in.+ 18 in.+18 in. +18 in. PI Тc Determine the force supported by the members CD, CI, and IJ. The force supported by the members CD, CI, and IJ is as follows: FCD=-349.602 lb Fci=-224.322 1b Fiy=[ 901.904 1b

Answer 1

soll! The distance beth, pin A and rollen G along the inclined plane by using Pythagoras theorem. . AG² = AH? + Gim? AG = VAH?+ GH? AG = 1 54² + 12² AGS 55.317.ch The angle of inclination of the inclined plane: tamos con tones a 0 = tan! Csa) B = 12:5288° FBD by sectioning the treess system through. Menibers CD, CI and I b et 18 in P се, «Ә° — в For tand 12 de 33.690

of Moments about G; considen the equiebrium EMG=0 (Px18)-(Px/8)-(Px36)-(PX54)+(Ax * 12)+(Ay x54)=0 >(480x18) --C 480 X16)-(480x36) -(480X54)+(Axe x12) i + Ay (54) = 0 ST => 124x +54 Ay = 43200 = 0 --- 640 considen. equerebrium Of Moments about A; I MA -0 CPX18)+C PX36) + (PX54)+ (PX72)-(Rafinx12) .. -RG cosa *54)= 0 → (480X18)+(480x36) +(480X54) + C480x72) -CRasim 12-5288° x12)-CROCOT 12.52pxseibco → 86400 – 2160 Ra - 52.714 Ra=0 3) - 55314 R4 + 86400 = 0 7 RG. = 1.561.99 lb considen equcribrium of Fences in x-direction; E fx=0 Axt. RG sin o=0 Art C1561.99) 8m 12.5288' = 0

Ages-3381.843 lb Axes 338.843 46 6). from ego, 12 Ax+ 54 Ay 43200 =0 (12 X-338-843 ) + Su Ay. = 43200 Aya 4+266.116 54 . Ay = 875.298 Ub considen equirbrium of forces in yodinna Ery=0 Ay- P-P- FCI fin 33.69 = 0 875.298 - 480-480- Fc Gin 33.69 = 0 M Fcts:84: 702 fin 33.69 Fes--152.698 267 compressor) considen equilibrium of moment about e; EMCEO -ChJX12) + ( Ay 718) - (Ax X12)– (PX18) =0 - (Fæs X12) +(875.298*18)-(+338.843*12)- (480x18)=0

FIT'S. 11181.418 12 FIJ = 931-79 2b (Tension) considen equilibrium of forces in tndinn: . Efx=0 Foot FCI cos 33.69* + Fpj + Ax = 0 FOD + (-152:698) Cos 33.69'+931.79 +(-338.843)=0 FOD= - 465.894 lb Hope This Helps. Thumbs up please. Thank you