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<br />-e' <br />C"': <br />U') <br />C\J <br /> <br />c <br /> <br />CONTENTS <br /> <br />3 <br /> <br />CHAPTER V-CONICAL SHELL ANALYSIS <br /> <br />SECTION <br />52 Penstock CODe reducer. <br /> <br />PAGE <br />101 <br /> <br />UNIFORMLY VARYING THICKNESS <br /> <br />53 Introduction ......._._.UO................m..m...nn.u.um............. n..........n.__.__..__..__ 101 <br />54 Notation ....n.h.................hn..................un..........h.........__....n....n.....____ ................. 102 <br />55 Equations of equilibrium ..-...Oo......__.... .m......................................................... 103 <br />56 Stress-strain relations........___.........................___.........__ ....nnn....h__u............... 103 <br />57 Discussion of formulas.... .............................. .............m......_____......___.. ................._. 104 <br />58 Edge-effect solutions......... ...mn..___............... m.......________.. ..........m... 104 <br />59 Summary of formulas...............____ .......hmn.......... ............_..___.___u........... 105 <br /> <br />COMPUTATIONS <br /> <br />00 Typical example u..........___u.. <br />61 Combined stresses.......,......u <br /> <br />,...................,..,...... ..,..,..... 109 <br />.."".."..................,.,...............112 <br /> <br />CHAPTER VI-WATER-HAMMER ANALYSIS <br /> <br />62 Introduction <br />63' Notation _...... <br /> <br />113 <br />113 <br /> <br />THEORY OF WATER,HAMMER <br /> <br />84 Basis of theory ....u .............u.........uu_......u................_u...............u........ on_____....u___...... 114- <br />65 Ve.locity.pressure relations .................___......_..............._.......n___..u............._....___........ 118 <br />66 Division and reflection of waves..._.......___m..u___..u..uu....___........_..........___.._............___. 119 <br />67 Partial reflection of waves at a gate......u..____......___.._.....______..............___..u__.............. 122 <br /> <br />COMPUTATIONS <br /> <br />68 Methods u_. ....___.....mn..n...___._ ....__....................00..._ ........._...00....0000 ....................__ 123 <br />69 Form 1 ........ ........._......... .....00..000000......00.........___...._.........................00..........._00.....00..00..... 128 <br />70 Form 2 nnn_.....___......___......._........un.......................uu___...___...nn.......n....... ...................... 129 <br />71 Application to a single pipe....................................u..........._... 00.._........._ 129 <br /> <br />W ATl'R-HAMMER STUDIES <br /> <br />72 Results ...........00......... <br />73 Speed regulation <br /> <br />131 <br />137 <br /> <br />BIBLIOGRAPHY <br /> <br />Bibliography ..00...................... <br /> <br />......................,........ 137 <br />