536 



STRUCTURAL MECHANICS. 



CHAP. XVI. 





34 CAtfTJLVJ? feAM WJTH LOAD } PjAT FREE END- 



End Reaction, J?? ~ P- 

 Shear at any po/nf; Yx~P- 



Moment at any point, 



Maximum Moment", //- /*/ 

 Equation oFE/asfic Curve, 



Beam 



Shear 

 Diagram 



Moment 

 Diagram 



Elastic 

 y'f Curve 



55 -CANTILEVER BEAM WITH UNIFORM LOAD, W PER UHIT OF LENGTH- 



w per unit of lengfh^ 



Beam 



Moment 

 Diagram 



Elastic 

 "/ Curve 



?2 = wl 

 Shear at any point P x - wx- 

 Max- Shearj I/= wl' 

 Moment at any point, M x ~ ^jjr 

 Max - Moment, at Right Support, M- 



Equation of Elastic Curve 



CANTILEVEK BEAM W/TH COHCSHTKATED LOAD,P, AT ANY POIHT^ 



End Reaction, R? = P 

 Shear hetween P and Support - P' 

 Moment between PandSupport=P(x-kl) 

 Max- Moment, at Right Support* P( l~kl) 

 Equation of Elastic Curve between P/?z 



Shear 



^ ' A' 



X! _^J__ 



Diagram 







^ Moment 

 ^7 Diagram 



Elastic 

 Curve 



Deflection under Load, A'= 



Max- Deflection, A = (2-3k +k 3 ) 



Diagram 



A 



Moment 

 Diagram 



Elastic 

 % Curve 



BEAM W/TH VAKJABL? LOAD 



End Reaction, P? ^^ 

 Shear at any point, ^ 

 Max- Shear, Y= ^L-. . 



Moment at any point, M x - g- 

 Max- Moment, M= 2^. 

 Equation of Elastic Curve 



Max- De flee ffrn, ^= 



