Question

Question 3 Use Moment Area theorems in the beam shown in Figure 3 to determine the following: - Slope at C. d- Slope at D. 0.3 20KN boiler jok K B A с D pin Rotter 6m 4m Figure 3

Answer 1

1P9-21 Deflected shape В D ВА toa EDA = A x 50 A and D in = EDA Ao is area blu Bending moment diagram distance of the con of area from Do +[la X80X10)x(4+1x10) - [6 x 1200 6X (4+1/3 X6)] -[(2 X 40 X 4) X 3 X 4] et EI EI

P9-3 EDA = 559.67 EI 559.67 EI (14 | OA 39.97 ΕΙ =) A = (-39.97 EI -ve because it is anticlockwise Now, OCA - Oc-OA if slope is antic Lockwise it is tve and if clockwise it is avea where Area biwa and c in M/El diagram x 32 x 4 = x 4 =64 2. EI EI 64 LEI = Oc-( -39.97 EI OCA - 9:97) loc = 24.03 EI

Pa-ч blw ODA Area of MIEI dia A and Axte Х(Ox8o EI • xьx 139 ) - 2 x чx чо/кг) = - чо | ET ODA - 9) — 9А We have OA = (-)39.97 ЕТ - чоlет - (-39-97 ) е Т — (-) 0.03 0, 5) -З 100 EI СТ