36 PROBLEMS IN STRENGTH OF MATERIALS 



324. Determine the total uniform load that will rupture a wooden 

 simple beam 8 feet span and 2x6 inches cross-section. 



325. Find the load placed at the middle that will break a round 

 cast-iron bar 16 feet long and 4 inches in diameter supported at the 

 ends. Neglect weight of bar. 



326. Determine the greatest length of a round cast-iron bar 1 inch 

 in diameter that can just carry its own weight when supported at the 

 ends. 



327. A simple beam 6 feet long, 2 inches broad, and 3 inches deep 

 is broken by a weight of 1200 pounds placed at the center. What 

 uniformly distributed load will break a simple beam of the same 

 length and material, if breadth is 3 inches and depth 4 inches ? 



MOVING LOADS 



328. A load of 500 pounds is rolled over a simple beam 20 feet 

 long, whose weight is 40 pounds per linear foot. Find the position 

 of this load for the maximum bending moment and compute its value. 



329. Two loads each of 3000 pounds, 5 feet apart, roll over a simple 

 beam of 15 feet span. .Find the position of these loads for the maxi- 

 mum bending moment and find its value. 



330. Two wagon-wheels, 8 feet apart, roll over a simple beam 24 

 feet long. If the load on each wheel is 2000 pounds, find their posi- 

 tion for the maximum bending moment and determine its value. 



331. Solve Problem 330, if the load on one wheel is 3000 pounds 

 and on the other 2000 pounds. 



332. Three loads of 3000 pounds each, 4 feet apart, roll over a 

 simple beam of 20 feet span. Find the position of these loads for the 

 maximum bending moment and compute its value. 



333. Three loads 4 feet apart, one being 3000 pounds and the 

 others 1500 pounds each, roll over a simple beam 19 feet long. Find 

 their position for the maximum bending moment, and find its value. 



DEFLECTION 



334. Find the maximum deflection of a wooden cantilever beam 

 6 inches wide, 8 inches deep, and 10 feet long, due to a total uniform 

 load of 100 pounds per linear foot. 



