vi CONTEXTS 



I 



PAGES 



Relation between shear and bending moment. Designing of beams. 



Distribution of shear over rectangular cross section Distribution 



of shear over circular cross section. Cases in which shear is of 

 especial importance. Oblique loading. Eccentric loading 



Antipole and antipolar. Core section Application to concrete 



and masonry construction. Calculation of pure bending strain by 

 means of the core section. Stress trajectories. Materials which 



do not conform to Hooke's law 8 



CHAPTER IV 

 FLEXl'KK OF I5KAMS 



Elastic curve. Limitation to Bernoulli's assumption. Effect of 

 shear on the elastic curve. Built-in beams. Continuous beams. 



Theorem of three moments. Work of deformation. Impact 

 and resilience. Influence line for bending moment. IntlutMice 

 line for shear Maxwell's theorem. Influence line for reaction-. 



Castigliano's theorem. Application of ( asti-liaiio's theon-m to 

 continuous beams. Principle of least \\oi-k 7 



CHAPTKi: V 

 (nU'.MNS AM) STKl T8 



Nature of compressive stress. Killer's theory of long column-. 



Columns with one or both -n<U tixcd. Independent pro. 

 formulas for fixed ends. Modification of Kuler's formula. Kan- 

 kine's formula. Values of the empirical constants in IJankii. 

 formula. Johnson's parabolic formula. Johnson's >traight-line 

 formula Cooper's modification of Johnson's straight-lim- formula. 



Beams of considerable depth OS-Ill 



U I AFTER VI 

 TORSION 



Circular shafts. Maximum stress in circular shafts Angle of 



twist in circular shafts. Power transmitted by circular shafts. 

 Combined bending and torsion. Resilience of circular shafts. 



Non-circular shafts. Elliptical shafts Rectangular and square 



shafts. Triangular shafts. Angle of twist for shafts in general. 



Helical springs 112-121 



