Question

1. Determine all reactions of supports using force method. El is constant. lookg 50kg 4m 2m 2 m

Answer 1

check determinacy no horizontal loading so horizontal Reactions are zero 3 . ☺ no. of unknown RA, RC, & MA no. of equilibrium equations 2 Fy=0 {Me=0 Take Rc as redudant Method of superposition look of x=6 v L=4 * 2 A 2 - K SBC is 50 kg F 2 36=6 L=8 Sot K 3 X=6 if K L- Scc L=6 ARC Let S is deflection the beam is split into 3 as shown below. deflection at c G = Sect doc dce Scc is -ve because is opposite directiah

General equation of deflection at a point a distance from support of a cantilever beam due to point load at L distance from support is P sc² (32-x) y 6 E'I - 100 X62 C 3x4-6) = 3600 Вс EI 6 EI Soc = 50x62 ( 348-6) =5400 EI БЕТ Scc = - RCX6² (3x6-6)= -2R46 EI GEI as c is supported deftection is restricted and Ac=0 ac=8Bct Soc tocc=0 3600 t 5400 2R (46² =0 EI EI EI Rc = 125 kg F by taking equilibrium equation {fy=0 RtRc 1000+50-125 - 100-50 =0 A 11 S 25 kg F EM2=0 RAX 6 - M 100X2 +50 X 2 = 0 MA=-200 +100 + 25x6 50 kgfm ()

method of superposition splites the beam into many based on loading. then apply boundary conditions on deflection,we get the unknown.reaction