CANTILEVER AND SIMPLE BEAMS 37 



335. A wooden cantilever beam 6 inches wide, 8 inches deep, and 

 10 feet long supports a weight of 1000 pounds at the free end. Find 

 the maximum deflection due to this load. 



336. Find the maximum deflection for the beam of Problem 334, if 

 it has a concentrated load of 1000 pounds at the free end in addition 

 to the uniform load. 



337. A cast-iron bar 2 inches wide, 4 inches deep, and 6 feet long 

 is balanced upon a support at its middle point, and a weight of 5000 

 pounds hung at each end. Find the end deflections. 



338. Find the maximum deflection of a simple wooden beam 16 feet 

 long, 2 inches wide, and 4 inches deep, due to a load of 120 pounds 

 at the middle. 



339. Calculate the maximum deflection of a steel bar, supported 

 at its ends, 1 inch square and 6 feet long, due to a load of 100 pounds 

 at its center. 



340. A steel engine shaft 12 inches in diameter, resting in bearings 

 4 feet apart, carries a fly-wheel weighing 30 tons midway between 

 the bearings. Considering the shaft as a simple beam, find its maxi- 

 mum deflection. 



341. A wooden floor beam 2 X 10 inches cross-section and 16 feet 

 long sustains a total uniform load of 80 pounds per linear foot. Find 

 the maximum deflection. 



342. Determine the maximum deflection of a wooden girder 10 feet 

 long, 8 inches wide, and 10 inches deep, supported at its ends, if it 

 carries a total uniform load of 10,000 pounds. 



343. A simple wooden beam 8 x 14 inches cross-section and 16 feet 

 long bears a total uniform load of 100 pounds per linear foot. How 

 much greater will be the maximum deflection wiien the short side is 

 vertical than when the long side is vertical? 



344. A cast-iron rod supported at both ends, 5 feet span, 2 inches 

 wide and J-. inch deep, has a maximum deflection of ^ inch due to a 

 weight of 18 pounds at its center. Find its modulus of elasticity. 



345. Find the maximum deflection of a simple wooden beam 9 feet 

 long, due to a concentrated load of 1000 pounds at the middle. 

 Cross-section is an ellipse having axes 6 and 4 inches, with short 

 axis vertical. 



346. Solve Problem 345 if the long axis is vertical. 



