Question

Find the compressive force in bar CD and the horizontal displacement at point C for the structural system of an L-shaped frame and a truss bar. The frame has a constant bending rigidity EI. The strain energies due to shearing force and axial force are negligible in comparison with that due to bending moment in the frame structure ABC. Hint: Assume the force in BC beam and CD bar is S. Solve for S to solve for Displacement at C. L/2 L/2 - b- AD EA = 21 Upending = Se la W. (N/m)

Please solve using work/energy principles and Castigliano's theorems

Answer 1

c 니2 Penting The embed 0 HIBET, Ż EA=3 EI EA= 3EI HIEI,L we Testame 42,EI 2 АЕ IL, E1 Here, strain energy due bending is only taken in . Consideration. *. Bending moments → Moc=0 → Mga = +sx - Wome i ostal * from Castigliano's got theoremi, aces Head, U= [mmad 4Mon Mar del corpo e x] → Selatan (Sx-widt) da XO 2 EI EI CSScanned with CamScanner

IL ► sette de les s = { We wat ΕΙ *. From Virtual work method osaal! MAB = + SX, OSMSL put s=1 - MAB= n , osash E *L Now PAB? AB EI EI Now a = f'Ma tome da se mo me de 42 = (- ve vedu + softwtex] en (-* *5x] + SX- 3EI 12 CS$canned with CamScanner