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Document Title
Fundamentals of Stress and Vibration Chapter Title
[A Practical guide for aspiring Designers / Analysts] 2. Engineering Mechanics

Šƒ’–‡” ʹ - ‰‹‡‡”‹‰ ‡ Šƒ‹ •

ʹǤͳ –”‘†— –‹‘

Š‡ ”‡ƒ•‘ ‡‰‹‡‡”‹‰ ‡ Šƒ‹ • ‹• ‰‹˜‡ –Š‡ ‘•– ”—†‹‡–ƒ”› •–ƒ–—• ‹• „‡ ƒ—•‡ ‹– ’”‘˜‹†‡• –Š‡
’‡†‡•–ƒŽ ˆ‘” ‡‰‹‡‡”‹‰ †‡•‹‰ ƒ ”‘•• †‹• ‹’Ž‹‡•Ǥ
‡ Šƒ‹ • ‹• ƒŽŽ ƒ„‘—– ϐ‹†‹‰ –Š‡ ‹–‡”ƒ –‹‘ „‡–™‡‡ ‘’‘‡–•ǡ ƒ‡Ž›ǡ ƒ –‹‘ ƒ† ”‡ƒ –‹‘ǡ ‹
–Š‡ •‹’Ž‡•– –‡”•Ǥ Š‹• Šƒ’–‡” ’”‹ƒ”‹Ž› ˆ‘ —•‡• ‘ •‘Ž˜‹‰ •–ƒ–‹ ƒ† †›ƒ‹ •‹–—ƒ–‹‘• ˆ‘”
˜ƒ”‹‘—• ’”‘†— –• •‘ –Šƒ– –Š‡ ’”ƒ –‹ ƒŽ‹–› ‘ˆ ‡ Šƒ‹ • ‹• ™‡ŽŽ ƒ’’”‡ ‹ƒ–‡† „› ›‘—‰ ‡‰‹‡‡”•Ǥ Š‹•
Šƒ’–‡” ƒŽ•‘ Žƒ›• ƒ •–”‘‰ ˆ‘—†ƒ–‹‘ ˆ‘” ƒ–‡”‹ƒŽ ‡ Šƒ‹ •ǡ ‡ Šƒ‹••ǡ ˜‹„”ƒ–‹‘• ƒ†
‡‰‹‡‡”‹‰ †‡•‹‰Ǥ
Š‡ ‡ Šƒ‹ ƒŽ ƒ† •’ƒ–‹ƒŽ ˜‹•—ƒŽ‹œƒ–‹‘ –Šƒ– ‹• „—‹Ž– –Š”‘—‰Š –Š‹• Šƒ’–‡” ‰‘‡• ƒ Ž‘‰ ™ƒ› ‹
”‡ϐ‹‹‰ ‡‰‹‡‡”‹‰ –Š‹‹‰Ǥ
‡ Šƒ‹•• ‹• •ƒ‹† –‘ „‡ ‘‡ ‘ˆ –Š‡ ‘”‡ ‘’‡–‡ ‹‡• ˆ‘” ƒ ‡ Šƒ‹ ƒŽ ‡‰‹‡‡”Ǥ Š‹• Šƒ’–‡”
ˆ‘ —•‡• ‘ –Š‡ • ‹‡ ‡ ‘ˆ ‡ Šƒ‹•• ƒ† ‘– ‘ –Š‡ –‡ Š‘Ž‘‰›Ǥ
Š‡ ˆ‘ŽŽ‘™‹‰ ‡‰‹‡‡”‹‰ ™Š‡‡Ž ‹• —•‡† –‘ ‡’Šƒ•‹œ‡ –Š‡ •‹‰‹ϐ‹ ƒ ‡ ‘ˆ ‡ Šƒ‹ •ǣ

Š‡ ‡‰‹‡‡”‹‰ ™Š‡‡Ž ‰‹˜‡• ƒ „‹”†ǯ• ‡›‡ ˜‹‡™ ‘ˆ ˜ƒ”‹‡† ƒ’’Ž‹ ƒ–‹‘• –Šƒ– ƒ”‡ ‡ƒ„Ž‡† „› –Š‡
’”‹ ‹’Ž‡• ‘ˆ ‡ Šƒ‹ •Ǥ Š‹• „‘‘ Ž‹‹–• ‹–• †‹• —••‹‘ –‘ ‡™–‘‹ƒ ‡ Šƒ‹ • ȋ ƒ‰”ƒ‰‹ƒ
‡ Šƒ‹ • ‹• ‘– †‹• —••‡†ȌǤ

ʹǤʹ „Œ‡ –‹˜‡

Š‡ ‹–‡–‹‘ ‘ˆ –Š‡ Šƒ’–‡” ‹• –‘ ‹–”‘†— ‡ ˆ—†ƒ‡–ƒŽ• ‘ˆ ‡ Šƒ‹ • ˆ‘” •–”‡•• ƒ† ˜‹„”ƒ–‹‘
ƒƒŽ›•–•Ǥ ‘ŽŽ‘™‹‰ ƒ”‡ –Š‡ ‡› –ƒ‡ƒ™ƒ›• ˆ”‘ –Š‹• Šƒ’–‡”ǣ
ͳǤ ‘ ’”‘˜‹†‡ Žƒ”‹–› ‘ ‘”‹‰‹ƒ–‹‘ ‘ˆ ƒŽŽ ‡ Šƒ‹ ƒŽ ƒ† ‹‡”–‹ƒŽ ˆ‘” ‡•Ǥ
ʹǤ  —Ž ƒ–‡ –Š‡ —Ž–—”‡ ‘ˆ ˆ‘” ‘’‘‡– ‹–‡”ƒ –‹‘ ƒ† Ž‘ƒ† ’ƒ–Š ‘’”‡Š‡•‹‘Ǥ
͵Ǥ ‡˜‡Ž‘’ –Š‡ ƒ„‹Ž‹–› –‘ ƒ’’Ž› ‡™–‘ǯ• ʹ Žƒ™ ƒ† ‹‡ƒ–‹ ”‡Žƒ–‹‘• –‘ ’”ƒ –‹ ƒŽ
†
•‹–—ƒ–‹‘•

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