Question

(Virtual Work Indeterminate) Problem 6. Virtual Work Method. Determine the reaction at A. The support at A is a roller and C is fixed El is constant. (16 points) RA С 10 ft. 5 ft. 4 kip B What is the reaction at A

Answer 1

solution :- Kat А Ky kip B Removing colles support at A a kxx f. Y -Y A kt klo K 4K B X For segment AB, at any section XX MCC) = oxx<10' BC at section YY For segment Mly)= 4x4 = 4y Removing ILLC f any ocy=5 externet load and as assuming unit load at A upwards *xxx For AB Y ty A m(x) = 1xx = lx 1 For BC mly)= lxlo = lo Now AN EI k B X * m M dx xxo da +(4y xlody EI EI 0 O AA'= of 40 y EI 40825 QEI 500 EI 0

mo? FAA dx EI lo 2 + x² dx EI los dy lo 5 = 43 + loo EI ot ЗЕТ 1000 3 EI + 500 EI 2500 ЗЕГ Now =0 AA+FAXRA 2500 x RA=0 7 500 EI 3 EI 7 RA= -500x3 2500 -oob kip > RA= 0.6 kp (4) dicuted downwards ने