of the Thin-plate Beam. 

 When ., = 0, f x = = 0- ■'■A+B-O, orA=-B, 



351 



_ w . a 



i.e., A=-B = — 



ot-i t / m. a — m.(i\ 



m 2 E.Ie — *„ 



o o 



72 „„ i m.aie +e \ ^ 



o 



is the equation for bending-moment at any point of the 

 beam . 



When 



m.a , —7n. a 



-,.> / m.a , —m.a 



,=a, - E .1$ = M: = - « [ m - a(e o +g o ) _ 1 > 

 »# " m 2 I e m - a __ e ~ m - a j 



o o 



n ™ x^y — -TVI- — w f 2a ' m 1 t 



o 



Ml.C — JB.C N 











Now taking equation (1) we have : — 



When x = 0, M' - - Mj - m 2 E . I . y" + ^ , 



where ?/" = deflexion at o. 



Combining this with the values for M and M J we have: — 



° a 



w.a f % 



e +e 



) to . a i 



»l«E . I . y'l =- — l g ,n.a_ e - m .a 







Similarly, if y w be the deflexion at c. 



m.a . —m.a\ / wi.e . —hi.cn 



m 2 E It,"-- "- ? ( (^ ^ ^ +g - } I + ^ 2 " ^) 







Second. Consider Q only (fig. 4). 



There are two divisions of this problem : (a) For values 

 of: x ranging from to c, and [b) for values of x ranging 

 from c to a. 



