Question

Using the method of superposition, determine the deflection of the beam shown at point C. - B L a

Answer 1

Question 7 given ay The ic ookie- find of def section at superposition. a sing methool Solution Ž Note a In method of - Superposition we Coneider only one Jogol at a time. O firet Coneider point Load at C Suppose deflection to point load at c is f. ye due

Nowy deflection & 4! - F(d+9): 1 Jc - - BEIT : we know beam free and that deffection carrying point with Span of Contilever Load at e in a BEI uring this we can write equation Consider UDL Lead kek

Deflection at a written due to UOL i 9" - - [ 4+ Go (4) 3 : we know that Contileves beam Carrying UDL Loard over span d then deflection and Slope Can be. written act written are De = wd3 BEI Now put the verlue in equation ya -- y" -- 9" - - + hotel ( + $] . (3.4+49) I Wl3 ЧЕТ deffection at e due to you:

Total de flection at ca from h and = quation y = y + y = -f(A+)3 y W13 (34+74) BEI 24 EI y = - [F (1+q) 3 I JE WL3 (31+ 497 24 EI I Thewesi Wheweni lever. The show deflection at col Conclusion 7 Horr the F is in Newton and the load w ie Newton/metre So. the deflection unit in balanced.