epaRdfFb[iylf ekaqfAkkqf
(Fundamentals of Mechanics of Materials)
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The following are the tamil (kural/venpa) compositions of Dr. S. Ilanko
on the Mechanics of Materials, giving the basic definitions and
explanations including formulae such as Hooke's law.
For the Unix users, a transliterated/romanized version
of these tamil compositions is available in a separate Web page.
Dr. Ilanko teaches at the Dept. of Mechanical Engineering,
Univ. of Canterbury, New Zealand and can be reached via Email:
Ilanko@mech.canterbury.ac.nz. My sincere thanks go to Dr. Ilanko
for permitting me to distribute these compositions to the general
public through this web page.
K. Kalyanasundaram (kalyanasundaram@epfl.ch)
tAkpfp<
(stress)
uAtpfpiZAv ekayfAvpf prpfpalf piaikfk vRmf
viAccf ecbiv< taE[ tAkpfp<
;A]kf ekayfv<
(Complementary Shear)
ekayfv<tf tAkpf eptbfKmf ecnftAkpfp<kf PdfDqT
ecyfy<mf etazilf MBkfK nIkfklf.
;civ<
(Strain)
;Ztftalf Enaf nIQmf, ekayftalf uR maBmf
`Ztftkf KBKmf `Av ;civ<.
`qeva[fbi[f mabfbtfAt `qvaElEy vKpfpi[f
'qitayfkf kiAdkfKmf ;civ<.
tAkpfp<-;civ<tf etadafp<
(Hooke's Law)
Kbitft tAkpfpibfKkf Kbitft ;civ< oR
Kbitft epaRQkfkiT mabaT - mBtfT
mIqf t[fAm t[f 'lfAl mIbi[alf maBEm
Embf eca[f[ tAkpfpicivi[f t[fAm.
tAkpfAp;ci valfvKpfpi[f mIqft[fAm mdfDkf
kiAdkfKmf ;Tma bili.
tAkpfpiciv< vArpi[f pFtftibE[ yimfmdfdamf
tAkpfpicivi[f t[fAm tRmf.
vAq vAqtlf
(Beam Bending)
vAqyilf CAm takfki[f vAqy<mf, `tilf 'gfKmf
viAqy<mf vAq tiRpfpmf, ekayfv<.
uAtpfp< oR p<btftilf, ;ZAv mB p<btftilf,
tAkpfpi[f niAlAmyT maBmf.
uAtpfp<, ;ZAv ybfb, ;civ< `bEv `bfb
`Attf ta[f nDniAl `cfec[fk.
maBmf tAkpfpi[f tib[f vAqkfKmf tiRpfp< tib[f
PDmf ;T pQAvkf PdfF[f.
vAqyi[f KBkfK evdfD vziEy tirQmf `nft
viAcEy, Mtlilf eca[f[ ekayfv<.
vAqtiRpfpmf, ekayfv<, vAqyilf `ZtfT pQ,
;Av ekaDkfKmf Oyfv<Bti ;Acv<.
pQkf PF[f ;r]fDmf paivakkf PDmf,
mikkf PF[f vAqEya ciAty<mf.
vAqtiRpfpmf PF[f vAq PDm,ff Pdlf
vAq tagfKmf vFvtftilf tgfKmf.
vAqtiRpfpmf, ekayfv<, pQ ~kiyvbfbi[iAdEyy<qfq etadafp<
(The relationship between bending moment, shear force, and load)
takfKmf viAccfecbiv<kf kIdakkf ekayfv<viAc
mabfbmf uBmf nIqtfEtaD.
ekayfvi[f pFtftib{mf `ZtfTmf pQcfecbiv<mf
ecyfy<mf nikrniAl Oyfv<.
`qikfKmf pQviAcEyaaf p<qfqi t[ilf takfki[f
`zikfKmf ekayfv< viActfetadafcfci.
p<qfqiviAc takfki[f ekayfv< viAcvArp<
Tqfqi eyZmf :Decyfy.
vAqtiRpfpmf ekayfv<viAckf Ekbfb pFtftibE[a
FAcnftibgfki EybiniAl Ep}mf.
vAqtbf bAkpfp<
(Bending Stress)
vAq vAqycf ecnftqgfkqf vAqyaAm yabfcIrayf
viAqy<mf Enaf ;civi[T mabfbmf.
Enriciv< cIafmabfbgf ekaqfq `AteyatfT
Enaf tAkpfp<mf cIrak maBmf.
Enaf tAkv< Enaf mabfbgf eka]fEd nD `cfcilf
Oaf tAkv< mbfB oDgfKmf.
Oaf p<qfqi, nDkfEkaD, ;r]fFbfKmf ;AdtfetaAlvilf
caafnfTqfqEt `gfK tAkpfp<.
vAqtbf bAkpfp<cf Vtftirmf/cm[f paD
(Bending Stress Formula)
evdfD Mkpfprpfpi[f ;r]fdamf tiRpfpmAt
ndfd nDpfpbfbikf k]fdt[alf - ;dfd
takfktfti[f vAqtiRpfpmf tA[ vKtfT ;AdtfetaAlAv
~kfkipf epRkfki[f tAkpfp<.
vAqv<tf tAd
(Flexural Rigidity)
prpfpi [ir]fdamf tiRpfpmf mIqft[fAm mabiliAypf
epRkfki[f vAqv<tf tAd.
vAqepyafcfci k]itftlf
(Bending Deflection)
vAqtiRpfpmf t[fA[ vAqv<tf tAdyalf vKtfT
viAqvtA[tf etaAkyidfdalf vAqcayfv< -viAqAv
mI]fDmf etaAkyidfdalf ;dpfepyafcffci ;At Ev]fF[f
Ev]fDmf ;R 'lfAlpfp]fp<.
'lfAlpf p]fp<
(Boundary Conditions)
vAqyi[f ;dpfepyafcffci t[fA[ vAryBkffKmf tagfklf
niAl 'lfAlpf p]fp<.
niAl ;ylabf B]iy ;ylat vAqkfkayi[f
pl 'lfAlpf p]feplflamf Ev]fDmf.
tagfkbf p]fp<
(Types of Support)
ktfti MA[tf tagfklf tiRpfptfAttf tagfkaT
'tftAkyvaBmf caiy<mf.
`Ztftpf piFtftagfklf `gfkigfK caikfkaT
`Ztftipf piFtfT vAq tagfKmf.
ekayfv<pf p<qfqi
(Shear Centre)
:afEkaD pbfbicf cIailfla MkevdfDkf
Ekaaf p<qfqi ka]f ekayfv<pf p<qfqi.
ekayfvi[f nDpfpqfqipf EkadfF[iEl pQtftakfki[f
'qfqi[f `qv<milfAl Mbkfklf.
uBti ekdlf
(Buckling)
`Znftipf pQEvnfTmf `Fepalf pl mdgfK
'Znftkfkalf kalf `[fbibf B\]f.
kalf P[, T\]f ciAty, ecyfy<mf kArmIbikf
Ekalf mIT eka]fd pQ.
MBkfklf
(Torsion)
t]fF[f nDkfEkadfAdpf pbfbi eyaRtiRpfpmf
u]fdakfKmf ekayfviciv< Mbkfkmf.
vdfd vFv<kf KBkfK evdfD Mkgf eka]fd
vidfdmT Enrak nibfKmf.
vAqyat vidfdtfti[f t[fAmyi[abf ekayfv<mf
`Alyamlf ~Ary<d[f PDmf.
nDvi[iEl ekayfviciv< tAkpfpilfAl evqiviqimfAptf
etaDmqv<mf cIrakkf PDmf.
MBkfktfAt Mkpfprpfpi[f MA[yIaftf tiRpfptftalf
piaitftaAr yabfepRkfki[f tAkpfp<.
tAkpfptA[ ekayfv<kfkayf mabat mdfdalf
vKpfpt[alf vRvticiv<.
KBkfKevdfD Mkmfvdfd vFvAmya vidfdaEla
epaRtftmiAl Embfeca[f[Av.
em[fCvafkf Kzayi[f Mbkfklf
(Torsion of a thin tube)
cIra[ em[fCvafekaqf Kzayilf MBkfkmT
mabat ekayfAvtf tRmf.
MBkfktfAt :rdkfkpf prpfpalf, CvaftftFpfpalf
vKkfkvRmf ekayfv<tf tAkv<.
`Ztft em[fklgfkqf
(Pressure vessels)
uqfqZtftmf em[fkltfTqf u]fdakfKmf takfkmf
uqfqiZAv EnaftAkv<kfkID.
tAkpfpiZAv ka]fptbfK em[fkltfAtkf PB
pDtfti viAc nikaiAcycf ecyfk.
cIafEkaq em[fkltfti[f ~Ar `Ztftmf epRkfki
:aftFpfpi[alf vKpfpi[f tApfp<.
Enaf tAkv<, ekayfv< Pdfdlf
(Compound stresses/ Mohr's circle)
Enaf tAkv<, ekayfv< tqmiRpfpi[f ecvfvcfcilf
Oaf vdfd oZkfkilf oDgfKmf.
Enaiciv<, ekayfv< Pdfdlf
(Combining strains/ Mohr's circle)
EnaiciEva ekayfvibf patiy<d[f ecvfvcfcilf
OaiAcnft vdfdtftilf oDgfKmf.
cmniAlcf cm[fpaDkqf
(Equilibrium equations)
'tiaf takfk ']f]ikfAk niAlyiylibf epbfb
nikafEkaAvkf PbfBkAq mIbi[f -p<tir[fB
niAlyiylalf etqivaka `AmpfpitA[ vFv
niAltfetadafpalf T]inftidlamf ka]f.
'tiaf takfkmf nikaf EkaAvkf PbfAbvidkf K[fbi[f
;daf k]fGaf uBtiyila `Ampfp<.
uBtiyila `Ampfp< utvaet[f bakaT
`Bti MZAmyila `Ampfp<.
`Bti yila`Ampfp< `ZtfTmf viAckfEkbfp
viBvi eb[Evkmf ekaqfQmf.
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vrpfp<yr nIRyRnf trtftilf tmizf emaziyi[f
cibpfp<yrcf ecyfy<mf ecnftiRvamf `biviyAl
niAbtfTyrcf ecyfy enwfCyRmf nmfmvai[f
kAbtfTyr miFEnayf kziy<mf kAlvaZmf
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