Page 100 - C:\Users\trainee\AppData\Local\Temp\msoEAA3.tmp

Fundamentals of Stress and Vibration 1. Mathematics for Structural mechanics
[A Practical guide for aspiring Designers / Analysts]
Ø ‹‡ƒ” ƒŽ‰‡„”ƒǣ
Š‡ ‡› –ƒ‡ƒ™ƒ›• –Šƒ– ƒ”‡ ”‡Ž‡˜ƒ– –‘ ”‡ƒŽ-–‹‡ ‡‰‹‡‡”‹‰ǡ •— Š ƒ•ǡ ‘‘”†‹ƒ–‡
–”ƒ•ˆ‘”ƒ–‹‘ǡ ”‘–ƒ–‹‘ ƒ† • ƒŽ‹‰ǡ ”‘–ƒ–‹‘ ‘ ƒ–‡ƒ–‹‘ǡ –”ƒ•ˆ‘”ƒ–‹‘ ‘ˆ ‰‡‘‡–”‹
•Šƒ’‡•ǡ ‹‰‡ ˜ƒŽ—‡• ƒ† ‹‰‡ ˜‡ –‘”•ǡ ƒ”‡ ƒ††”‡••‡† ‘’”‡Š‡•‹˜‡Ž›Ǥ
‹‰‹ϐ‹ ƒ– ”ƒ –‹ ƒŽ ’’Ž‹ ƒ–‹‘ǣ •Š‡ƒ” †‡ˆ‘”ƒ–‹‘ ‘ˆ ƒ •“—ƒ”‡ ƒ”‡ƒ

Ø ’–‹‹œƒ–‹‘ǣ
Š‡ ‘ ‡’– ‘ˆ ‡‰‹‡‡”‹‰ ‘’–‹‹œƒ–‹‘ǡ „‘–Šǡ ‰”ƒ†‹‡– ƒ† ‘-‰”ƒ†‹‡– „ƒ•‡†ǡ ƒ”‡ ‰‹˜‡
ƒ ’”ƒ –‹ ƒŽ †‹• —••‹‘Ǥ ‘–Š •‹‰Ž‡ ƒ† —Ž–‹˜ƒ”‹ƒ„Ž‡ •‹–—ƒ–‹‘• ˆ‘” ‰”ƒ†‹‡– ‡–Š‘† ȋ—•‹‰
‡••‹ƒ ƒ–”‹šȌ ƒ”‡ ™‡ŽŽ ‡š‡’Ž‹ϐ‹‡†Ǥ •‹’Ž‡ ‡šƒ’Ž‡ ‹• ’”‘˜‹†‡† –‘ ‡š’Žƒ‹ –Š‡ —ƒ ‡•
‘ˆ •–‘ Šƒ•–‹ Ȁ”‘„—•– ‘’–‹‹œƒ–‹‘Ǥ ƒ‰”ƒ‰‹ƒ —Ž–‹’Ž‹‡”•ǡ ™Š‹ Š ‹• ƒŽ•‘ ƒ ‡–Š‘† ˆ‘”
‘•–”ƒ‹‡† ‘’–‹‹œƒ–‹‘ǡ ‹• ‰‹˜‡ ƒ „”‹‡ˆ †‹• —••‹‘ ™‹–Š ƒ ‡šƒ’Ž‡Ǥ
‹‰‹ϐ‹ ƒ– ”ƒ –‹ ƒŽ ’’Ž‹ ƒ–‹‘ǣ —Ž–‹˜ƒ”‹ƒ„Ž‡ ‘’–‹‹œƒ–‹‘ —•‹‰ ‡••‹ƒ ƒ–”‹š

Ø ‰‹‡‡”‹‰ —”˜‡•ǣ
Š‹• Šƒ’–‡” ‹• ‹–”‘†— ‡† –‘ †‡ƒŽ ™‹–Š •‘‡ ‘ˆ –Š‡ ‡‰‹‡‡”‹‰ —”˜‡• –Šƒ– ƒ”‡ ”‘—–‹‡Ž›
—•‡† ‹ †‡•‹‰‹‰ ‰‡ƒ”• ƒ† ƒ•Ǥ Š‹• Šƒ’–‡” ‘˜‡”• –Š‡ —–‹Ž‹–› ‘ˆ ‰‹‡‡”‹‰ —”˜‡• ‹
”‡ƒŽ-–‹‡ ƒ† ’ƒ”ƒ‡–”‹ †‡”‹˜ƒ–‹‘ ‘ˆ ‹’‘”–ƒ– ‡“—ƒ–‹‘• •— Š ƒ• ‹˜‘Ž—–‡ǡ › Ž‘‹†ǡ
Ž‘‰ƒ”‹–Š‹ •’‹”ƒŽ ‡– Ǥ

‹‰‹ϐ‹ ƒ– ”ƒ –‹ ƒŽ ’’Ž‹ ƒ–‹‘ǣ ƒ”ƒ‡–”‹ ‡“—ƒ–‹‘ ˆ‘” ƒ ‹˜‘Ž—–‡ —”˜‡

Ø ‘—”‹‡” •‡”‹‡• ƒ† ‘—”‹‡” –”ƒ•ˆ‘”ƒ–‹‘ǣ
Š‹• Šƒ’–‡” ‡š’Žƒ‹• –Š‡ ’”ƒ –‹ ƒŽ •‹‰‹ϐ‹ ƒ ‡ ‘ˆ ‘—”‹‡” •‡”‹‡• ƒ† ‘—”‹‡” –”ƒ•ˆ‘”•ǡ
™‹–Š ”‡Ž‡˜ƒ– ‡‰‹‡‡”‹‰ ‡šƒ’Ž‡• ƒ† ‹–‡”’”‡–ƒ–‹‘•Ǥ
‹‰‹ϐ‹ ƒ– ”ƒ –‹ ƒŽ ’’Ž‹ ƒ–‹‘ǣ ”ƒ •Šƒˆ– Ž‘ƒ†‹‰

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

QP No. SSC/Q4401, Version 1.0, NSQF Level 7, Compliant with Aero and Auto Industries, Page 3