48 RESISTANCE OF MATERIALS 



87. A simple beam of 8ft. span bears a distributed load which varies linearly 

 from zero at one end to a maximum at the other. The total load on the beam is 

 1200 Ib. Plot the shear and moment diagrams. 



88. A cantilever beam extends 9 ft. from a wall and bears a uniform load of 

 60 Ib./ft. and a concentrated load of 175 Ib. at the free end. Draw the shear and 

 moment diagrams. 



89. A cantilever beam projects 6 ft. and supports a uniform load of 100 Ib./f t. 

 and concentrated loads of 90 Ib. and 120 Ib. at points 2ft. and 4ft., respectively, 

 from the free end. Draw the shear and moment diagrams. 



90. A cantilever beam projects 10 ft. and carries a concentrated load of 100 Ib. 

 at the free end and also concentrated loads of 90 Ib. and 60 Ib. at 3ft. and 5ft., 

 respectively, from the free end. Sketch the shear and moment diagrams. 



91. A cantilever beam projects 6ft. from its support and bears a concentrated 

 load of 50 Ib. upward at the free end and 50 Ib. downward at 2 ft. from the free 

 end. Draw the shear and moment diagrams, neglecting the weight of the beam. 



92. A cantilever beam projects 8 ft. from its support and bears a distributed 

 load which varies linearly from zero at the free end to a maximum at the fixed 

 end. The total load is ^ ton. Draw the shear and moment diagrams. 



93. Sketch the shear and moment diagrams for a cantilever 12 ft. long, carrying 

 a total uniform load of 50 Ib./ft. and concentrated loads of 200 Ib., 150 Ib., and 

 400 Ib. at distances of 2 ft., 4 ft., and 7 ft., respectively, from the fixed end. 



94. An overhanging beam of length 30 ft. carries concentrated loads of 1 ton at 

 the left end, 1.5 tons at the center, and 2 tons at the right end, and rests on two 

 supports, one 4 ft. from the left end and the other 6 ft. from the right end. Draw 

 the shear and moment diagrams. 



95. An overhanging beam 20 ft. in length bears a uniform load of 100 Ib./ft. 

 and rests on two supports 10 ft. apart and 5 ft. from the ends of the beam. 

 Sketch the shear and moment diagrams. 



96. An overhanging beam 25 ft. in length carries a uniform load of 200 Ib./ft. 

 over its entire length, and rests on two supports, one at the right end and the 

 other at 10 ft. from the left end. Plot the shear and moment diagrams. 



97. An overhanging beam 40 ft. in length is supported at points 4 ft. from the 

 left end and 8 ft. from the right end. It carries concentrated loads of 4 tons at 

 the left end, 3 tons at 6 ft. from the left end, 2 tons at 14 ft. from the left end, and 

 1 ton at the right end. Draw the shear and moment diagrams. 



98. Draw the shear and moment diagrams for an overhanging beam 18 ft. in 

 length, supported at points 4 ft. from each end, and carrying a uniform load of 

 60 Ib./ft. over its entire length and a concentrated load of 800 Ib. at the middle. 



99. Draw the shear and moment diagrams for an overhanging beam 20 ft. in 

 length, supported at points 3 ft. from the left end and 5 ft. from the right end, 

 which carries a uniform load of 80 Ib./ft. between the supports and concentrated 

 loads of 600 Ib. at each end. 



100. Draw the shear and moment diagrams for an overhanging beam 16 ft. in 

 length, supported at points 2 ft. from the left end and 4 ft. from the right end, 

 which carries a load of 200 Ib./ft. distributed uniformly over 12 ft. from the left 

 end, and a concentrated load of 1600 Ib. at the right end. 



