CANTILEVER A^D SIMPLE BEAMS 27 



NEUTRAL Axis AND MOMENTS OF INERTIA 



Determine the position of the neutral axis and the moments of 

 inertia in respect to this axis for the following beam-sections. 



207. The rectangular section shown in Fig. 12. 



208. The circular section shown in Fig. 13. 



209. The triangular section shown in Fig. 14. 



210. The hollow rectangular section shown in Fig. 15. 



211. The square section shown in Fig. 16. 



212. The T- section shown in Fig. 17, if I = 3, ti = 2, t = l, and 

 d = 8 inches. 



213. The T- section shown in Fig. 17, if d = 12, 6 = 5, t = 1, and 

 tj = 2 inches. 



214. The T- section shown in Fig. 17, if t 1 = t = 1, d = 9, and b = 4 

 inches. 



215. The section of Fig. 15, if d = 6, I = 4, d^ = 4, and \ = 2 inches. 



216. The section of Fig. 19, if d = 6, t : = t 2 = t = 1, and b 1 = Z> 2 = 4 

 inches. 



217. The section of Fig. 19, if d = 8, ^ = t 2 = t = \, and l l = b 2 = 4 

 inches. 



218. The section of Fig. 19, itd=12,t 1 = t 2 = t = 1, and \ = b 2 = 5 

 inches. 



219. A section like Fig. 19, if rf=12, ^ = 4, 6 2 = 2, t = 1, and 

 ^ = t<2 = 2 inches. 



220. A section like Fig. 19, if d = 10, t = \ t t l = t z = 1, ^ = 4, and 

 6 2 = 2 inches. 



221. The section of Fig. 20, if f= J, 6 = 8, and d = 2 inches. 



222. The section of Fig. 20, if t = 1, I = 8, and d = 6 inches. 



223. The section of Fig. 20, if t = 1, 5 = 12, and d = 4 inches. 



224. A section like Fig. 21, if d = 12, I = 4, t = 1, and ^ = 2 inches. 



225. A section like Fig. 21, if d = 15, I = 31, and t = t 1 = $ inch. 



226. The section of Fig. 22, if I = d = 6, and t = % inch. 



227. The section of Fig. 22, if d = 6, I = 4, and t = \ inch. 



228. A section like Fig. 23., if d = 6, b = 4, and t = 1 inch. 



229. A section like Fig. 23, if d = 8, I = 3, and t = J inch. 



230. The section of Fig. 24, if d = 6, I = 4, ^ = ^ = 1, and t = \ 

 inch. 



