Question

3. Using the image and the following information, determine the support reactions of the frame shown below. a. The members of the frame are shown in black. There are 3 members in the frame (AC, CE, and EF). b. The red dots represent the connection points for the frame. C. The external forces are shown by the blue lines. d. There is a pin support at A and rocker supports at B, D, and F. 250 N 100 N/m 175 N T., M. T. А 2 m 1 m - 1 m - 2 m 2 m 1 m - 1 m - 1 m

Answer 1

Q5ON 175N A B E f zm Anime E 2m Thelm Elm- RB ARE Ro moment al ways zero at Hinge Bending (B.Me = 0 CRE* 2.) - ( HSXI) = 0 =D RG = 175 -DR f - 87.5 N 2 considering equilibrium EF of oda is intemal force a E Fy=0 175 fore f Elm Elm للم) RG Rat CE = 175 87.5t C =125

CE = 87.5 N equilisrum of memba now considering СС joonim = 87.5 tam flm- Cc To 2m Ro Elm-Beam Cc is internal force at c (loox2 ) + 875 Ct Rig = 287.5N Cetro Bending moment at Ċ =D • 100x2x3) + (Roxy) (87.545) =D Ro 259.375 N -

Pulting value of Ro in ea ct 259.375= 287.5 Cc = 28.125N portion mow considering equilibrium of for AC c=28.1250 25ON E 2M Elm BEIMC RA RB E fy = RA + RB = 250 + 26.125 RA + RB = 278.12s at A = 0 Bending moment =D - 250x 2 + ( Rex 3 ) - (28.128x u =o - RB = 204.167

pulting value of RB in eq il RA + 204 167 = 278.125 RA=73.958 Hence RA= 73.958 N RB = 204.167 N Ro= 259.375 N ich RA 87.IN