CANTILEVER AND SIMPLE BEAMS 23 



V. CANTILEVER AND SIMPLE BEAMS 

 SHEAR AND MOMENT DIAGRAMS 



Construct the shear and moment diagrams and find the maximum 

 shear and moment for the following cases. 



167. A cantilever beam of length /, with a uniform load of w pounds 

 per linear foot. 



168. A cantilever beam of length I, with a concentrated load P at 

 the free end. 



169. A cantilever beam of length I, with a uniform load of w pounds 

 per linear foot, and a concentrated load P at the free end. 



170. A simple beam of length I, with a uniform load of w pounds 

 per linear foot. 



171. A simple beam of length /, with a concentrated load P at the 

 middle. 



172. A simple beam of length l y with a uniform load of w pounds 

 per linear foot, and a concentrated load P at the middle. 



173. A cantilever beam of length 12 feet, with a total uniform load 

 of 240 pounds. 



174. A cantilever beam of length 10 feet, with a concentrated load 

 of 100 pounds at the free end. 



175. A wooden cantilever beam, 9 inches deep, 8 inches broad, and 

 15 feet long, with a concentrated load of 1000 pounds at the free end. 



176. A simple beam 20 feet in length, with a uniform load of 30 

 pounds per linear foot. 



177. A simple beam 12 feet in length, with a concentrated load of 

 1000 pounds at the middle. 



178. A simple beam 18 feet in length, with a total uniform load of 

 180 pounds, and a concentrated load of 800 pounds at the middle. 



1 79 . A cantilever beam 1 feet long and weighing 1 2 pounds per linear 

 foot, with a concentrated load of 80 pounds, 2 feet from the free end. 



180. A cantilever beam 12 feet long, weighing 10 pounds per linear 

 foot, with concentrated loads of 100 and 150 pounds at distances of 

 4 and 8 feet respectively from the free end. 



181. A cantilever beam 10 feet long, with a uniform load of 50 

 pounds per linear foot, and concentrated loads of 100, 300, and 



