XXIV TABLE OF CONTENTS. 



SUPPLEMENT TO CHAPTER VII. 

 CHAPTER L 



METHODS OF CALCULATION. 



AM. PAOE 



2. Hitter's method 99 



8. Method by resolution of forces 100 



CHAPTER H. 



PRINCIPLES OF THE CALCULUS. 



4. Differentiation and integration 102 



6. Powers of a single variable 105 



6. Other principles 106 



7. Illustrations 107 



8. First differential coefficient 109 



CHAPTER III. 



THEORY OF FLEXURE. 



9. Coefficient of elasticity 110 



10. Moment of inertia 110 



11. Change of shape of axis 112 



12. Beam fixed at one end, load at other 113 



13. Beam as above Uniform load 117 



14. Beam supported at both ends Concentrated load 118 



15. Beam as above Uniform load 119 



16. Beam fixed at one end, supported at other Concentrated load 120 



17. Beam as above Uniform load 121 



18. Beam fixed at both ends Concentrated load 122 



19. Inflection points, etc.. 124 



B. THE CONTINUOUS GIRDER OF CONSTANT 

 CROSS-SECTION. 



CHAPTER VIII. 

 GENERAL PRINCIPLES. 



80. Mohr's principle 125 



81. Determination of tangents to the elastic curve 127 



82. Effect of the moments at the supports 128 



83. Division of the moment area 129 



84. Properties of the equilibrium polygon 130 



85. Polygon for the positive moment areas 131 



86. Construction of the fixed points, and of the equilibrium polygon . . . 132 



87. Construction of the moments at the supports 135 



88. The second equilibrium polygon 136 



89. Determination of moments at the supports 138 



90. Comparison with girder fixed horizontally at both ends 139 



