USEFUL DATA 



Concentrated Moving: Loads. Position for maximum moment and shear. 



'^•^ Max. V when x=o 



I 



H 



a 



Tj^^ Max. M when ar= o 



«.=f 



M„=^^atP) 



4 



(^ (?) 



-a; *i:f 



>. 



R, =^(2/-a) 



Max. F when x=o 



Max. 3f when x=7(2/— a) 

 4 



F^„=/^l= j(2/-a) 



Wlien a exceeds . 586/, use case of one load 

 only, for Mm- 



M„=>|^'5.)|jr--^.--) 



r*---a--^~-a- 



4 



4 



4 



4 



(P) (h (^ 



(^ (^ 



Max. V when x=a 



Max. Jf when x 



']n2 V. 





/2i 



?P 

 2 



3fm= J (3/-4a) 



When o exceeds 0.45/, use case of two loads 

 only, for Mm. __ C"l-~**-^ 



=T*^p -^^; — 



Max. F when x=o 

 Max. M when x ■ 



T Max.Mwhena;=2p— vp I 



Maximum moment may occur under one load only. 



F„=R,= '^^;^p 



3/„= j2P 



(^ (^ (^ 



Max. V when x=a 

 Max. 3f when x= |(2/-a) 

 3a 



(^ ^ 



H When a exceeds 0.268Z, use case of three loads 

 j only, for Mm. 



fli 



(2/-a) 



) Afni=£(4/'-8a/+a5) 



Max. V when x= 

 Max. 3f when x 



= >^^^Pa)- E-^'aiPV!^' ' 



L Fm=«i = P+[p(/-a)+Pa-«-6)]2 



M„ 



x*2P 



-Pa 



Maximum moment may occur 

 for two loads only 



i<---6--->i<---a --*«^--6--* 



Max. F when x = 6 



1(2/— o) 'vp 



Max. M when x = | k„ =«i = ^(2/-26-a) 



M«= ^ (2/-a)«-p6 

 Maximum moment may occur for preceding case. 

 37 



