OVERHANGING BEAMS 39 



358. For the case of 10-inch steel I-beams, 30 pounds per foot, 

 supported at both ends, and loaded uniformly, determine the span for 

 which the maximum stress shall be 16,000 pounds per square inch 

 and the maximum deflection ^-1-^ of the span. 



359. Solve Problem 358 for 12-inch steel I-beams, 35 pounds per 

 foot. 



360. Find the total uniform load for a 6-inch steel I-beam, 14.75 

 pounds per foot, resting on end supports 20 feet apart, if the maxi- 

 mum deflection is ^^ of the span and the maximum stress not 

 greater than 16,000 pounds per square inch. 



361. Solve Problem 360 for a 7-inch steel I-beam, 20 pounds per 

 foot. 



362. A wooden cantilever 15 feet long, 3 inches wide, and 4 inches 

 deep carries a load of 100 pounds 5 feet from the free end. Find the 

 deflection at the end due to this load. 



363. The wooden cantilever of Problem 362 carries a load of 100 

 pounds 5 feet from the free end, and another load of 100 pounds 

 10 feet from the free end. Calculate the end deflection. 



364. A beam of length I rests on end supports and bears a total 

 uniform load W. Another support just touches under the middle of 

 the beam. How much must this middle support be raised in order 

 that the end supports shall just touch the beam? 



365. Solve Problem 364 for a wooden beam 12 feet long, 3 inches 

 wide, and 4 inches deep, bearing a total uniform load of 400 pounds. 



VI. OVERHANGING BEAMS 



Draw the shear and moment diagrams, determine the maximum 

 shear, maximum moment, danger sections, and points of inflection in 

 the following cases : 





t^^^^^^4M^pe^t^^^^^^^\ 

 "T" 

 ------- 0' -------- ^U --- JQ' --- >1 



367. 



200(ni^)e^^^ 

 ------ in'- ----- J^2' 



