Question

How many equations from the superposition table are required to determine the deflection at B?

18 kips "I 200 kip-ft A B с 6 ft 9 ft

Answer 1

Selution 18 149 200 kap. H 18KIPS ook p.t a B 94- aft A ISH- a oft so By the prinuple of superposition he By superposition Table need, find first deflection at B. peint load. to due to 18 laps ОСТ PL3 11 3 EI А BA9H 3 18 x 103 x 9 1 YB Fig! 3X EI YB = deflection due due to point loado Secondly to find deflection at B due to moment at A he west

20014844 B -91 From the Superposition Table deflection due to moment 200 kipst YA AD = -Mol 200 x 10 x 15 2 2 EI 2 EI

slope, due to moment 200kipa.ft at Bo Q Mo L B EI d 600 B 200 x 103 x 9 E I. ulo A CDO taw OB tan op sumall so B tan o B co "B

CD = OBX co {co=AB= 6ft} CD = 200 x 103 x 9 x 6 E I Ac AD - - CD Ac YA - 3 200 x 10 2 Ac *103 11 200 x 10 x 9 EI 2 ET AC = deflection at B due to moment 2ookips ft. So, by the principle of superposition deflection at B = deflection due to point load at B deflection moment at B due to dB = YB + AC from the Above Sohition 3 that me require equation from the superposition Answee Table