CONTENTS vii 



PAGES 



CHAPTEK VII 

 SPHERES AXD CYLINDERS UNDER UNIFORM PRESSURE 



Hoop stress. Hoop tension in hollow sphere. Hoop tension in 

 hollow circular cylinder. Longitudinal stress in hollow circular 

 cylinder. Differential equation of elastic curve for circular cylinder. 

 Crushing strength of hollow circular cylinder. Thick cylinders; 

 Lamp's formulas. Maximum stress in thick cylinder under uniform 

 internal pressure. Bursting pressure for thick cylinder. Maxi- 

 mum stress in thick cylinder under uniform external pressure. 

 Thick cylinders built up of concentric tubes 122-134 



CHAPTER VIII 



FLAT PLATES 



Theory of flat plates. Maximum stress in homogeneous circular 

 plate under uniform load. Maximum stress in homogeneous circu- 

 lur jlate under concentrated load. Dangerous section of elliptical 

 plate. Maximum stress in homogeneous elliptical plate under uni- 

 form load. -Maximum stress in homogeneous square plate under 

 uniform load. Maximum stress in homogeneous rectangular plate 

 under uniform load. X on -homogeneous plates ; concrete-steel floor 

 panels 135-144 



CHAPTER IX 



(TRVKD I'II.( i;s : HOOKS. LINKS. AXD SPRINGS 



Erroneous analysis of hooks and links. Bending strain on curved 



piece. Simplification of formula for unit stress Curved piece of 



rectangular cross section. Effect of sharp curvature on bending 

 strength. Maximum moment in circular piece. Plane spiral 

 springs 145-158 



niAl'TEll X 



ARCIIKS AM) ARrilFJ) RIBS 

 I. GRAPHICAL ANALYSIS OF FORCES 



Composition of forces Equilibrium polygon Application of 



equilibrium polygon to determining reactions. Equilibrium poly- 

 gon through two given points. Kquilibrium polygon through three 



