90 RESISTANCE OF MATERIALS 



161. A beam of uniform section is built into walls at both ends, the distance 

 between walls being 25 ft. Two concentrated loads, each of 5 tons, rest on the 

 beam at points 5 ft. from each wall. Find the maximum bending moment in the 

 beam, and also the position of zero bending moment. 



162. A continuous beam of two spans, each of 40ft., carries a uniform load of 

 1 ton per foot run. Find the reactions of the supports by the method of article 48, 

 and also the maximum moment and maximum deflection. 



163. A continuous beam of two equal spans is uniformly loaded. Find the bend- 

 ing moment over the middle support when the three supports are at the same level, 

 and also when the middle support is raised or lowered an amount h. 



164. A uniform beam of 20 ft. span is fixed at both ends and carries a load of 

 4 tons at the center and two loads of 3 tons each at 5 ft. from each end. Find the 

 maximum moment and the position of zero moment. 



165. A beam of length 2 I is supported at the center, one end being anchored 

 down to a fixed abutment and the other end carrying a concentrated load W. 

 Neglecting the weight of the beam, find the deflection of the free end. 



