Question

*9–40. Use the method of virtual work and determine the slope at A of the beam made from steel. E = 200 GPa, 1 = 100(106) mm. 9-41. Solve Prob. 9–40 using Castigliano's theorem. 40 kN 40 KN 1.5 m +1.5 m-+-1.5m-+-1.5m-- Probs. 9–39/40/41 9-42 Determine the displacement at point I Ise the

Answer 1

Q. quo method of virtuw wosk :- Applying wit moment at A and then slope at A OA= /mmdu m&m are moments due to external load and wit moment respectively.

140KN y alkN-m B 140 KN Elismta 3m 1 By limb equilibrium equations EMB=0 Ayx3 +40X4,5 - 40X115=0 Ay - Ay = 40kn Ayx3 += 0 EMB=0 Ay'= -113 kw {fy=0 80-40 = 40 kn By' = -Ay = +113 llen A LE? how 0 O - llam J90 KN Thokn í TuokN D - 1 112 kN a 1/3 kN > Fa> for EA ocre 115m m=-400 m=0 Fox AB ocu <3m M= 40(ute) -40(1H15) = -60 KN-m m= -1 = 3-4 krom BD o cu*< 1,5m m = -40 (u+415) +4014+39 +40u = 400-60 m= - (U+3) += 0 ② for BA= " x +59-60 @w) du + S"odle

Integration is done by using calculator

as per HomeworkLib policy first question is done please ask again rest of the questions

.

comment for any doubt about this solution thank you

Don't forget to upvote if you got your answer