Question

Determine the slope at B and displacement at D. Er is constant. Use the moment-area theorems, 3 m 3m

Answer 1

18kw I amt amt sm 1 Calculate Reations as - {fy zo Ay + By + 8 =0 AU ABS-8 My fby = - Emaco8 6By + 8x1150 By = -1466 KN (2) Ay = 6.66 kw (1) Mr (for AB ý By Mr = + Ay xx MA=0 moga Ayx3 = 6-66x3 = 19.98 KN-m Mr (for DB) i mu= + Ay xx me = 6:66*3 = 19.98 kn-in = 666x6 = 39.96 knom Mr (BC) from c; Me =- 8x 29.56 mc=0 i9.98 - 8x5= - 40 kn-m

39.96 LEI EI (9.98/EI c met diagram 0-4 O-OB = 1h diagram ble EI of Ox=+1 X 5 X 0 B X5 Xory EI AD= AXT 1 X 3 X 19=988 2x3 A = Sagu According to moment area Theorene- Change is slope from any point a to B es equal to area of m diagram b/w a and B. OB-On = Area of in diagram b/w xe and B and . Deflection at any point D with respect to tangent at any Point a 1 or d = moment of area of in diagram between x and about D