Question

Force method for composite structure: Determine the degree of static indeterminacy for the structure and use the force method to find the forces in the steel rods. Draw the shear and bending moments diagram for the wood flexural member.

A= roller support C= pin support

Force Method for Composite Structure. Determine the 'Degree of Static Indeterminacy (SI)' for the structure shown in Figure 1 and use the force method to find the forces in the steel rods. Also, draw the shear and bending moment diagram for the wood flexural member. (A has a roller support and C has a pin support) 75 kip 10x10 in. wood member. A = 120 in-; I = 1500 inº; E = 1500 ksi B 15 ft. Pin Connected at Joints like trusses D. Steel rod, A = 1.75 in?; E = 29000 ksi 25 ft. 25 ft.

Answer 1

for whole stre, EFH=0 | HC = o] At joint D, EFH E07) Fosno = teosino FAD = FD] Efv = 0 => 2F40 COSO =R -fag -fco, Porto At joint A, Efy 0 7 FAR & FAD sino=0 => famos-fadino = - 2010.simo 71 Fors = - 2 tano] on the same logic, [fBc = - p tano Efro - 75-R & FAD COSO =RA = 75-R & R & COSO =RA RA= 37.5 kip) on the same logic, Re=37.5 kip Total stoon Energy of stre, U= 2 (UAB+ UAD + URD - considering only flexural and anial strain energy. (180 R2 du + ). 215kg -Ox300 t 4 Ircoxiso 1204150 – Useizo you en tant o x 300 + isteyirem + 1852. oon op het ger (209-9sa) + posts a u= 8. 168 x 103 k² + (75-R32

compatibility conditions: (75-R) x 600 (8.168X103 x 22 8 -2 (75=R) 48x1500x 120) = 0 -) IR = 74.695 kip forces in Steed rods, FAD = Fco = R C = 72.590 kip 74.695 2 coso - 2x2 wood flexural member ABC I 175kip a 3001 B 170.895 kip 300" 300" orkie 011525kip SED 0.1525 kip TEL 10.15okip 0.125x20= 45.75 kin (м)