APPENDIX II. 



PROBLEMS IN GRAPHIC STATICS AND THE CALCULATION OF STRESSES. 



Introduction. It is impossible for the student to gain a working 

 knowledge of graphic statics and the calculation of stresses without 

 solving numerous problems. In order to save the time of the student 

 and the instructor the problems must be selected with care, and the 

 data put in working form. The following problems have been given 

 by the author, in connection with a course preliminary to bridge analysis, 

 and are presented here with the hope that they may prove of value to 

 both students and instructors. By slightly changing the quantities and 

 dimensions the data for new problems may be easily obtained. 



Instructions. ( i ) Plate. The standard plate is to be 9" X ioj^", 

 with a i" border on the left-hand side, and a J-" border on the top, 

 bottom, and right-hand side of the plate. The plate inside the border is 

 to be 71/2" X 9 l /2". (2) Co-ordinates. Unless stated to the contrary, 

 co-ordinates given in the data will refer to the lower left-hand corner 



1500 

 of border as the origin of co-ordinates. In defining the force, P- 



150 



(5.0", 3.0"), the force is 1500 Fbs., makes 150 with the X-axis (lies 

 in the second quadrant), and passes through a point 5.0" to the right, 

 and 3.0" above the lower left-hand corner of border. (3) Data. 

 Complete data shall be placed on each problem so that the solution 

 will be self explanatory. (4) Scales. The scales of forces, and of 

 frames or trusses shall be given as i" = ( ) Ibs., or ft.; and by a 

 graphic scale as well. (5) Name. The name of the student is be 

 placed outside the border in the lower right-hand corner. (6) Equa- 

 tions. All equations shall be given, but details of the solution may 

 be indicated. (7) References. References are to "The Design of 

 Steel Mill Buildings." 



Note. It should be noted that all the problems have been re- 

 duced so that all dimensions are one-half the original dimensions given 

 in the statements of the problems. 



