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

ͳǤͷǤͻ —Ž‡• ‘ˆ ‡ –‘” ††‹–‹‘ ƒ† —„–”ƒ –‹‘

Ø ††‹–‹‘ ƒŽ™ƒ›• ’”‘†— ‡• ƒ ˜‡ –‘” ‘ˆ ‰”‡ƒ–‡” ƒ‰‹–—†‡ ‹ˆ „‘–Š ˜‡ –‘”• ƒ”‡
†‹˜‡”‰‹‰ ȏ ‹‰ ͳǤ͵ͷȐ ‘” ‘˜‡”‰‹‰ ȏ ‹‰ ͳǤ͵͸Ȑ ’”‘˜‹†‡† –Š‡ ƒ‰Ž‡ „‡–™‡‡ –Š‡ –™‘
˜‡ –‘”• ‹• ƒ —–‡Ǥ

[Fig 1.35: Diverging vectors] [Fig 1.36: Converging vectors]

Ø ˆ ‘‡ ‘ˆ –Š‡ ˜‡ –‘” ‹• ‘˜‡”‰‹‰ ƒ† –Š‡ ‘–Š‡” ‹• †‹˜‡”‰‹‰ǡ –Š‡ǡ ƒ††‹‰ –Š‡ –™‘
˜‡ –‘”•ǡ ”‡•—Ž–• ‹ ‡“—‹˜ƒŽ‡– •—„–”ƒ –‹‘ ȏ ‹‰
ͳǤ͵͹ȐǤ

[Fig 1.37: Vector subtraction]

Ø ˆ –Š‡ ˜‡ –‘”• ”‡’”‡•‡– –Š‡ –™‘ •‹†‡• ‘ˆ ƒ –”‹ƒ‰Ž‡ǡ –Š‡ –Š‹”† •‹†‡ ”‡’”‡•‡–• –Š‡
†‹ˆˆ‡”‡ ‡ ‘ˆ –Š‡ –™‘ ˜‡ –‘”• ȏ ‹‰ ͳǤ͵ͺȐǡ ’”‘˜‹†‡†ǡ ˜‡ –‘”• ‡‹–Š‡” ‘˜‡”‰‡ ‘”
†‹˜‡”‰‡Ǥ

[Fig 1.38: Diverging Vectors]

QP No. SSC/Q4401, Version 1.0, NSQF Level 7, Compliant with Aero and Auto Industries, Page 35