20 



HANDBOOK OF MECHANICAL DESIGN 



5. Rod of Rectangular or Elliptical Section, Rotated about an Axis Perpendicular 

 to and Passing through the Center Line. 



For rectangular cross sections: 



K, = }U; K, = 1 

 For elliptical cross sections: 



Volume = K^abL 

 (a) For any material : 



IT 



4 



WR 



'■x'-x' = pahLU 



^ + T,{n + L) 



+ K,a 



'} 



(b) For a cast-iron rod of elliptical section (p = 0.260) : 



= 4:90 [y + ''^^^^ + ^) + leJ 



wm 



6. Elliptical Cylinder, about an Axis Parallel to the Axis through the Center of 

 Gravity. 



Volume = 7 abL 

 4 



(a) For any material: 



(b) For steel: 





16 



abL /a- + b'- 

 OOV 16 



7. Cylinder with Frustum of a Cone Removed 



Volume = 

 WR\_a = 



2(Di - £>.,) 

 irpL 



8(Di - D2) 







8. Frustum of a Cone with a CyUnder Removed. 



Volume = 



ttL 



2(Z)i - D2) 



WP2 = '^ 



wa,_, 8(i)i - D2) 



2 



4 



{D\ 



^ iD\ 





\{D\ -D\)\ 



