Question

Estimate the redundant force in the truss member BC as shown in the following FIGURE. The truss is subjected to a vertical load P as 50 kN. Members AB, AC, CD, and BD are 5 m long. The cross-sectional area of all members is constant. The support at A is the pin support and the support at B is the roller support. P = 50 kN Ан, B Av Ву

Answer 1

Joint c Efe =0 fed 8450 Cos45+ fer =0 foo KN et {compressive Efy=0 1 Sim 45° + FCA feA = 2 kn { complessive Joint D E for so fort 4 -fac - FA Cos45° =0 For FB FDA Costs - foc ADA t IFoA = 1kN {Tensile Efy = 0 -FA Sin 45° fDB to FB = -1x J foB = 1 1 1 N {compe Compressive CS Scanned with CamScanner

Joint B Efx=0 I KN APBD - FBA- 1x Cos450 =0 4500 B FBA FBA - 1/2 KN {compressive Bu Member P PKL KL AB K 1 / 0 2.5 АС 0 Is is in 2.5 est et BD - So 176.78 2.5 C D 5 2.5 AD S2 5 -BC - 552 512 EPKL=176.78 ERL= = 24.14 KN The value of the Redundent Porce E PKL x = EK²L 176.78 x = 24.14 x = - 7.32 KN Compressive so the Redundant force in the member BC' Comes out to be 7.32 KN Compressive. CS CamScanne