Question

P3 F E 3) Determine the force in members BC, BE, and EF of the truss and state if these members are in tension or compression. Set Pi = 6 kN, P2= 9 kN, and Ps= 12 kN. 3 m D B С Draw and label a complete FBD of the section you choose to analyze. 3 m 3 m 3 m P1 P

Answer 1

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X P₂ = 12 KN F E 3 m B x P2 = 9 KN Pi = 6KN 3m 3m 3m Since the whole system is Static Equilibrium - So, MA -0, le net moment about A in Zexo P3 x3 + Pix3 + P2 x 6 - Roxa=0 12x3 + 6x3 + 9x6- Roxa=0 RO= 12 KN Using Method of Section cutting section x-x and taking the right postion as given Below as shown above FIE E 3m I FFC FBC "Ro=12RN P9RN * 3m 3m

Taking moment about point E=0 ie EME=0 FBC X3 + P243 - Roxb=0 FBC X3 + 9x3 - 12x6 = 0 Foc= 15KN Tensile Similarly for the same FBD prown, we will take net moment about c oqual to Zeso EMC=0 FEE X3 + Rox3=0 FFEX3 + 12x350 FIE = - 12 KN compressive Now - x F A С RO= 12 KN B P2 PI

cutting Section xx Section *-* and Douwing FBD - FFE E FCE K D Fcp TRO= 12 KN Since, this FBD is in Static Equilibzjum So, Net force in direction is Zero, g je e Fy=0 RD - FCE=0 FLE=RD FLE = 12KN -Tensile