CANTILEVER AND SIMPLE BEAMS 29 



INVESTIGATION 



241. A rectangular, wooden cantilever beam 12 feet long, 4 inches 

 broad, and 8 inches deep bears a total uniform load of 50 pounds per 

 linear foot. Find the factor of safety. > 



242. A wooden cantilever beam 5 feet in length has a rectangular 

 section 2 inches broad and 3 inches deep. Find the total uniform 

 load it can carry with a factor of safety of 8. 



243. Find the factor of safety for a rectangular, wooden cantilever 

 beam 12 feet long, 4 inches broad, and 8 inches deep there being a 

 concentrated load of 300 pounds at the free end. Neglect the weight 

 of the beam. 



244. Determine the factor of safety for the beam in Problem 243, 

 if the weight of the beafiMs considered. 



245. A cast-iron bar 1 inch in diameter and 2 feet long is supported r 

 at its middle, and loads of 50 pounds are hung at each end. Find the 

 factor of safety if the weight of the bar is neglected. 



246. A rectangular, wooden cantilever beam 10 feet long and 6 inches 

 deep is to support a load of 200 pounds at the free end. What should 

 be its width for steady stress if weight of cantilever is neglected ? 



247. A rectangular, wooden cantilever beam 8 feet long, 6 inches 

 broad, and 8 inches deep carries a load of 300 pounds at the free end 

 and a total uniform load of 160 pounds. What is the factor of safety? 



248. A rectangular, wooden cantilever beam 8 feet in length, 6 inches 

 broad, and 8 inches deep has a load of 200 pounds at the free end. 

 What total uniform load can it also carry with a factor of safety of 10 ? 



249. A simple wooden beam of rectangular section 8 x 12 inches 

 and 16 feet long sustains a total uniform load of 500 pounds per linear 

 foot. Find the factor of safety if the short side is horizontal. 



250. Would the beam of Problem 249 be safe if the long side were 

 horizontal ? 



251. A piece of timber 20 feet long, supported at its ends, is to carry S 

 a total uniform load of 4 tons. What should be the size of its square 

 cross-section for a factor of safety of 10? 



252. What should be the depth of a rectangular wooden girder 20 

 feet long and 4 inches broad to sustain a total uniformly distributed 

 load of 1600 pounds, with a factor of safety for varying stress ? 



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