146 



EQUATIONS FOR VARIOUS BEAMS. Art, 90. 



y /s a max. for x = L ( / -"l^f*" 



Fig. 98. 



When l,=l,=^ 





at & 



M - o for x = / f L 



For 



For x-t.lt 



g (fa . A '" 





til 

 M.7 



