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Fundamentals of Stress and Vibration                1. Mathematics for Structural mechanics
                 [A Practical guide for aspiring Designers / Analysts]
                 ”‘ –Š‡ ȏ ‹‰ ͳǤ͸ͲȐǡ‹– …ƒ „‡ ‘„•‡”˜‡† –Šƒ–ǣ ȏšαȋ Ʌ -  •‹ɅȌȐ ƒ† ȏ›αȋ  -  …‘•ɅȌȐ

                 Š‡”‡ˆ‘”‡ǡ  ™‡  Šƒ˜‡  ˆ‘—†  –Š‡  ‡“—ƒ–‹‘  ‘ˆ  ƒ  …›…Ž‘‹†ǡ  ™Š‹…Š  …ƒ  „‡  ’Ž‘––‡†  „›  ˜ƒ”›‹‰  ǮɅǯ  ˆ”‘
                ȋͲ –‘ ʹɎȌ ƒ• •Š‘™ ‹ ȏ ‹‰ ͳǤ͸ͳȐǤ















                                           [Fig 1.61: Cycloidal curve (Assuming (R = 1))]


                ͳǤͳͳǤʹ  ˜‘Ž—–‡

                 ˜‘Ž—–‡ ‹• ƒ …—”˜‡ ™Š‹…Š ‹• ‰‡‡”ƒ–‡† „› –Š‡ Ž‘…—• ‘ˆ ƒ ’‘‹– ‘ ƒ •–”ƒ‹‰Š– Ž‹‡ –Šƒ– ”‘ŽŽ• ‘˜‡” –Š‡
                …‹”…Ž‡ ™‹–Š‘—– •Ž‹’’‹‰Ǥ

                 Š‡ ‹˜‘Ž—–‡ ‘”‹‰‹ƒ–‡• ˆ”‘ ƒ …‹”…Ž‡ …ƒŽŽ‡† –Š‡ „ƒ•‡ …‹”…Ž‡ ‘˜‡” ™Š‹…Š –Š‡ •–”ƒ‹‰Š– Ž‹‡ ”‘ŽŽ•Ǥ  ˜‘Ǧ
                Ž—–‡  ‹•  –Š‡  ‡ƒ•‹‡•–  ’”‘ϐ‹Ž‡  –Šƒ–  …‘—Ž†  „‡  ƒ……—”ƒ–‡Ž›  ‰‡‡”ƒ–‡†ǡ  ™Š‹…Š  ‡•—”‡•  –Šƒ–ǡ  –Š‡  ”ƒ–‹‘  ‘ˆ
                •’‡‡†• „‡–™‡‡ –™‘ ƒ–‹‰ ‰‡ƒ”• ‹• ‡“—ƒŽ –‘ –Š‡ ”ƒ–‹‘ ‘ˆ –Š‡‹” ’‹–…Š ”ƒ†‹‹Ǥ
























                              QP No. SSC/Q4401, Version 1.0, NSQF Level 7, Compliant with Aero and Auto Industries,   Page 59
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