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T 8092

B.E/B.Tech DEGREE EXAMINATION, NOVEMBER/DECEMBER 2006

Fourth e!e"ter

Mech#$%c#& E$'%$eer%$'

CE (262 ) TRENGT* OF MATERIA+

Co!!o$ to Auto!o-%&e E$'%$eer%$', Mech#tro$%c" E$'%$eer%$',

Met#&&ur'%c#& e$'%$eer%$' #$ rouct%o$ e$'%$eer%$'

Re'ut%o$ 2001

Time: Three hours Maximum : 100 marks

Answer ALL questions

PART A (10 2 = 20 marks)

1) !stimate the "oa# $arrie# %& a %ar i' the axia" stress is 10 mm 2an# the #iameter

o' the %ar is 10 mm

2)*hat is the strain ener+& store# when a %ar o' , mm #iameter 1m "en+th is su%-e$te#

to an axia" "oa# o' . k ! = 200 kmm2/

) raw the shear 'or$e #ia+ram 'or a $anti"eer %eam o' s3an . m an# $arr&in+ a

3oint "oa# o' 40 k at mi# s3an

.) raw the %en#in+ stress an# shear stress #istri%ution #ue to %en#in+ o' %eam with

re$tan+u"ar $ross se$tion

4)*rite the ex3ression 'or sti''ness o' a $"ose $oi"e# he"i$a" s3rin+

,)5in# the minimum #iameter o' sha't require# to transmit a torque o' 26720 m i'

the maximum shear stress is not to ex$ee# .4 mm2

8) 5in# the $riti$a" "oa# o' an !u"er9s $o"umn hain+ . m "en+th 40 mm 100 mm

$ross se$tion an# hin+e# at %oth en#s ! = 200 kmm2

7) ;a"$u"ate the maximum #e'"e$tion o' a sim3"& su33orte# %eam $arr&in+ a 3oint

"oa# o' 100 k at mi# s3an

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6) e'ine 3rin$i3a" 3"ane an# 3rin$i3a" stresses

10) 5in# the thi$kness o' the 3i3e #ue to an interna" 3ressure o' 10 mm 2 i' the

3ermissi%"e stress is 120 mm2 The #iameter o' 3i3e is 840 mm

PART > (4 1, = 70 marks)

11(a) (i) 5in# the stresses in ea$h se$tion o' the %ar shown in 5i+ ? 11(a)

(ii) 5in# the tota" extension o' the %ar shown in 5i+ ? 11(a) ! = 21 104mm2

(%) (i) A stee" ro# o' 24 mm #iameter is 3"a$e# insi#e a $o33er tu%e o' 0mm interna"

#iameter an# 4 mm thi$kness an# the en#s are ri+i#"& $onne$te# The assem%"& is

su%-e$te# to a $om3ressie "oa# o' 240 k etermine the stresses in#u$e# in the stee"

ro# an# $o33er tu%e Take the mo#u"us o' e"asti$it& o' stee" an# $o33er as 200 @3a an#

70 @3a res3e$tie"& (10)

(ii) 5in# the tota" strain ener+& store# in a stee" %ar o' #iameter 40 mm an# "en+th

00 mm when it is su%-e$te# to an axia" "oa# o' 140 k Take mo#u"us o' e"asti$it& o'

stee" as 200 10MPa (,)

12 (a) raw the M #ia+ram 'or the %eam shown in 5i+ ? 12(a)

etermine the 3oints o' $ontra '"exure (1,)

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r

(%)A tim%er %eam o' re$tan+u"ar se$tion is to su33ort a "oa# o' 20 k uni'orm"&

#istri%ute# oer a s3an o' , m when the %eam is sim3"& su33orte# ' the #e3th is twi$e

the wi#th o' the se$tion an# the stress in tim%er is not to ex$ee# 4 mm2 'in# the

#imensions o' the $ross se$tion/ (1,)

1 (a) A ho""ow stee" sha't o' outsi#e #iameter 84 mm is transmittin+ a 3ower o' 00

k* at 2000 r3m 5in# the thi$kness o' the sha't i' the maximum shear stress is not to

ex$ee# .0 mm2 (1,)

r

(%) A $"ose $oi"e# he"i$a" s3rin+ is to hae a sti''ness o' 14 mm o' $om3ression

un#er a maximum "oa# o' ,0 The maximum shearin+ stress 3ro#u$e# in the wire o'

the s3rin+ 124 mm2 The so"i# "en+th o' the s3rin+ is 40 mm 5in# the #iameter o' $oi"

#iameter o' wire an# num%er o' $oi"s ; = .4 10.mm2 (1,)

1. (a) 5in# the maximum #e'"e$tion o' the %eam shown in 5i+ ? 1.(a) ! = 1 10 11

kmm2 Bse Ma$au"a&9s metho# (1,)

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(%) 5or the $anti"eer %eam shown in 5i+ ? 1.(%) 5in# the #e'"e$tion an# s"o3e at the

'ree en# ! = 10000 km

2

(1,)

14 (a) The norma" stresses in two mutua""& 3er3en#i$u"ar #ire$tions are 110 mm2

an# .8 mm2%oth tensi"e The $om3"ementar& shear stresses in these #ire$tions are o'

intensit& , mm2 5in# the 3rin$i3a" stresses an# its 3"anes (1,)

r

(%) A $&"in#er she"" m "on+ whi$h is $"ose# at the en#s has an interna" #iameter 1 m

an# wa"" thi$kness o' 14 mm ;a"$u"ate the $han+e in #imensions an# $han+e in o"ume

i' the interna" 3ressure is 14 mm2! = 2 104mm2 C = 0 (1,)

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