vi CONTENTS 



SECTION V 

 DEFLECTION OF CANTILEVER AND SIMPLE BEAMS 



PAGES 



General deflection formula. Cantilever bearing concentrated 

 load. Cantilever bearing uniform load. Cantilever under constant 

 moment. Simple beam bearing concentrated load. Simple beam 

 bearing uniform load. Applications 60-69 



SECTION VI 

 CONTINUOUS BEAMS 



Theorem of three moments for uniform loads. Theorem of three 

 moments for concentrated loads. Effect of unequal settlement of 

 supports. Applications 70-79 



SECTION VII 

 RESTRAINED, OR BUILT-IN, BEAMS 



Uniformly loaded beam fixed at both ends. Beam fixed at both 

 ends and bearing concentrated load at center. Single eccentric load. 



Uniformly loaded beam fixed at one end. Beam fixed at one end 

 and bearing concentrated load at center. Beam fixed at one end and 

 bearing a concentrated eccentric load. Applications 80-90 



SECTION VIII 



COLUMNS AND STRUTS 



Nature of compressive stress. Euler's theory of long columns. 

 Effect of end support. Modification of Euler's formula. Ran- 

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

 formula. Johnson's parabolic formula. Johnson's straight-line 

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



Eccentrically loaded columns. Applications 91-105 



SECTION IX 

 TORSION 



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 shaft. Rectangular and square shafts. Triangular 

 shafts. Angle of twist for shafts in general. Applications . . 106-117 



