som - assignments

8/13/2019 SOM - Assignments

1/15

QUESTION BANK

STRENGTH OFMATERIAL-2

(ME-202)


2/15

CHAPTER: 1 STRAIN ENERGY

Two marks questions1. Define Mo!"!# of e"$#%i&i%'.2. $% i# *o!"!# of +e#i"ien&e,. Define +e#i"ien&e.. +i%e %e fo+*!"$ fo+ Se$+ S%+$in ene+/' e+ !ni% o"!*e.. +i%e %e fo+*!"$ fo+ *o!"!# of +e#i"ien&e !ne+ #i*"e %en#ion $n #i*"e #e$+.3. Fin $n e4+e##ion fo+ %e #%+$in ene+/' #%o+e in $ 5o' 6en %e "o$ i# $"ie 6i% $n

i*$&%.7. Define 8+oof +e#i"ien&e.9. $% i# i*$&% "o$in/,:. Fin $n e4+e##ion fo+ %e #%+$in ene+/' #%o+e in $ 5o' 6en %e "o$ i# $"ie #!en"'.10. $% i# #%+$in ene+/',11.Define #+in/#,12. Fin $n e4+e##ion fo+ %e #%+$in ene+/' #%o+e in $ 5o' 6en %e "o$ i# $"ie /+$!$""'.1. Define %e %e+* %o!/ne## $n $+ne##.1. N$*e %e %eo+ie# of f$i"!+e# #!%i$5"e fo+ !&%i"e *$%e+i$"#.

Five marks questions1. De+ie %e ;$#%i/"i$no @o"!*e of %e 5o'.

9. A #%ee" +o= &* in i$*e%e+ $n * "on/ 6en !n"o$e= i# #!#ene f+o* on e en $n$# $ 6ei/% of KN %+e$e on %o i%. Te 6ei/% i# $""o6e %o f$"" f+ee"' fo+* $ ei/% of &* on %o e$ fo+*e o %e "o6e+ en of %e +o. Fin %e *$4i*!* #%+e## +o!&e in %e+o. A"#o fin %e ei/% %+o!/ 6i& %e 6ei/% #o!" 5e $""o6e %o f$"" f+ee"' #o %$% %e*$4i*!* #%+e## *$' 5e 90 M$. E fo+ %e *$%e+i$" fo+ %e +o i# 210 G8$.


3/15

:. A &+$ne &$in 6o#e #e&%ion$" $+e$ i# 3&*2&$++ie# $ "o$ of 10?N= 6i& i# 5ein/ "o6e+e$% $ !nifo+* +$%e of 0 **in. en %e "en/% of %e &$in !n6o!n i# 10*= %e &$in#!en"' n$*# on %e !""e'. E#%i*$%e %e #%+e## in!&e in %e &$in $n %ein#%$n%$neo!# e"on/$%ion (ne/"e&%in/ %e 6ei/% of %e &$in) !e %o %e #!en #%o$/e. E>210 G$= />:.91 *#2

10. A #%$%i& &on&en%+$%e "o$ of ?N $"ie $% %e *i#$n of $ #i*"' #!o+%e 5e$*

+o!&e# $ *$4i*!* ef"e&%ion of 0.2 &* $n $ *$4i*!* 5enin/ #%+e## of 1 M8$.;$"&!"$%e %e in#%$n%$neo!# #%+e## +o!&e in %e 5e$* 6en $ "o$ of ?N i# $""o6e %of$"" %+o!/ $ ei/% of 1. &* $% %e *i#$n of %e 5e$*.

Ten marks Questions

1. A &i+&!"$+ #%ee" #$f% 6i% f"'6ee" $% one en +o%$%e# $% 30 +..*. I% i# #!en"' #%oe $%%e o%e+ en. ;$"&!"$%e %e *$4i*!*= #%+e## in %e #$f% !+in/ i*$&% if %e "en/% of %e#$f% i# 2* $n i$*e%e+ &*. A##!*e %$% %e 6ei/% of %e f"'6ee" i# 00 N $n i%#+$i!# of /'+$%ion 20 &*. A##!*e G>100 G8$.

2. A %en#i"e "o$ of ?N i# /+$!$""' $"ie %o $ &i+&!"$+ 5$+ of &* i$*e%e+ $n * "on/. I%

%e $"!e of E > 2.0 4 10

N**

2

. De%e+*ine (i) S%+e%& in %e +o= (ii) #%+e## in %e +o= $n(iii) #%+$in ene+/' $5#o+5e 5' %e +o.. A !nifo+* *e%$" 5$+ $# $ &+o##-#e&%ion$" $+e$ of 3 &*2$n $ "en/% of 1. *. If %e #%+e##

$% %e e"$#%i& "i*i% i# 1. %onne&*2= fin %e +oof +e#i"ien&e of %e 5$+. De%e+*ine $"#o %e*$4i*!* $"!e of $n $"ie "o$= 6i& *$' 5e #!en"' $"ie 6i%o!% e4&eein/ %ee"$#%i& "i*i%. ;$"&!"$%e %e $"!e of %e /+$!$""' $"ie "o$ 6i& 6i"" +o!&e %e #$*ee4%en#ion $# %$% +e!&e 5' %e #!en"' $"ie "o$ $5oe. T$?e E > 2000 %onne#&*2.

. A 5$+ 1. &* i$*e%e+ /e%# #%+e%&e 5' 2. ** !ne+ $ #%e$' "o$ of 100 ?/f. $%#%+e## 6o!" 5e +o!&e in %e #$*e 5$+ 5' $ 6ei/% of 120 ?/f= 6i& f$""# e+%i&$""'%+o!/ $ i#%$n&e &* on %o $ +i/i &o""$+ $%%$&e $% i%# en, Te 5$+ i# ini%i$""'!n#%+e##e. T$?e E > 2.0 4 103?/f&*2.

. A e+%i&$" &o*o!n %ie *e*5e+ fi4e +i/i"' $% i%# !e+ en= &on#i#%# of $ #%ee" +o *"on/ $n 20 ** i$*e%e+= "$&e 6i%in $n eC!$""' "on/ 5+$## %!5e 20 ** in%e+n$" i$*e%e+$n 20 ** e4%e+n$" i$*e%e+. Te +o $n %e %!5e $+e fi4e %o/e%e+ $% %e en#. Te&o*o!n *e*5e+ i# %en #!en"' "o$e in %en#ion 5' $ 6ei/% of 1200 ?/f f$""in/%+o!/ $ ei/% of ** on %o $ f"$n/e fi4e %o i%# "o6e+ en. ;$"&!"$%e %e *$4i*!*#%+e##e# in #%ee" $n 5+$##. A##!*e E #> 2 4 10

3?f/&*2$n E 5> 1.0 4 103?/f&*2.


4/15

CHAPTER: 2 THEORY OF FAILURE

Two marks questions1. $% o 'o! !ne+ 5' %e %e+* Teo+ie# of f$i"!+e,2. Name the important theories of failure?

. Define $n e4"$in M$4i*!* +in&i$" #%+e## %eo+'.. S%$%e i#%o+%ion ene+/' %eo+' fo+ f$i"!+e.. Define $n e4"$in %e M$4i*!* +in&i$" #%+$in %eo+'.3. Define $n e4"$in %e M$4i*!* #e$+ #%+e## %eo+'.7. Define $n e4"$in %e M$4i*!* #%+$in ene+/' %eo+'.9. Define $n e4"$in %e M$4i*!* #e$+ #%+$in ene+/' %eo+'.:. N$*e %e %eo+ie# of f$i"!+e# #!%i$5"e fo+ !&%i"e *$%e+i$"#.10. $% i# %e ne&e##i%' of %eo+' of f$i"!+e.

Five marks questions1. De+ie $n e4+e##ion fo+ %e i#%o+%ion ene+/' e+ !ni% o"!*e 6en $ 5o' i# #!5e&%e %o

+in&i$ #%+e##e# .32,1 and

2. De%e+*ine %e i$*e%e+ of $ 5o"% 6i& i# #!5e&%e %o $n $4i$" !"" of 12 ?N %o/e%e+ 6i% $%+$n#e+#e #e$+ fo+&e of 3 ?N= 6en %e e"$#%i& "i*i% in %en#ion i# 00 N**2= f$&%o+ of#$fe%' > $n 8oi##on 0. !#in/

$. M$4i*!* +in&i$" #%+e## %eo+'.5. M$4i*!* +in&i$" #%+$in %eo+'.&. M$4i*!* #e$+ #%+e## %eo+'.. M$4i*!* #%+$in ene+/' %eo+'e. M$4i*!* #e$+ #%+$in ene+/' %eo+'

. A #%ee" #$f% i# #!5e&%e %o $n en %+!#% +o!&in/ $ #%+e## of :0 M8$ $n %e *$4i*!*#e$+in/ #%+e## on %e #!+f$&e $+i#in/ f+o* %o+#ion i# 30 M8$. Te 'ie" oin% of %e *$%e+i$"

in #i*"e %en#ion 6$# fo!n %o 5e 00 M8$. ;$"&!"$%e %e f$&%o+ of #$fe%' of %e #$f%$&&o+in/ %o %e fo""o6in/ %eo+ie#

$. M$4i*!* #e$+ #%+e## %eo+'5. M$4i*!* i#%o+%ion-ene+/' %eo+'.

. A% $ #e&%ion of $ *i" #%ee" #$f% of i$*e%e+ 190 **= %e *$4i*!* %o+C!e i# 37. ?N* $n*$4i*!* 5enin/ *o*en% i# 0. ?N*. Te e"$#%i& "i*i% in #i*"e %en#ion i# 220 N**2.De%e+*ine 6e%e+ %e f$i"!+e of %e *$%e+i$" 6i"" o&&!+ o+ no% $&&o+in/ %o *$4i*!* #e$+#%+e## %eo+'. If no%= %en fin %e f$&%o+ of #$fe%'.


5/15

CHAPTER: 3 SPRINGS

Two marks questions1. $% i# #+in/ ine4.2. $% i# %e #e$+ #%+e## in $ &"o#e-&oi"e e"i&$" #+in/ of *e$n &oi" i$*e%e+ D= 6i+e

i$*e%e+ = !ne+ $4i$" "o$ ,. +i%e o6n %e $"i&$%ion of f"$% #+in/#,. $% i# %o+#ion$" +i/ii%',. $% $+e "e$f #+in/#, e+e %e' $+e !#e,3. $% i# He"i4 $n/"e, So6 5' #?e%&.7. $% $+e He"i&$" #+in/#,9. $% $+e %e %'e# of He"i&$" #+in/#,:. $% i# #%iffne##,10. $% i# %e iffe+en&e 5e%6een &"o#e &oi" e"i&$" #+in/ $n oen &oi"e e"i&$" #+in/#,11. $% i# %e $4i$" ef"e&%ion of $ &"o#e-&oi"e e"i&$" #+in/ of *e$n &oi" i$*e%e+ D= 6i+e

i$*e%e+ n!*5e+ of %!+n# n= !ne+ $4i$" "o$ ,12. $% i# %e +oof +e#i"ien&e of $ "e$f #+in/.

Five marks questions1. A &"o#e"' &oi"e e"i&$" #+in/ i# *$e o!% of +o!n #%ee" 6i+e 3 ** n i$*e%e+= %e &oi"#

$in/ $ *e$n i$*e%e+ of 9&*. $% $4i$" !"" 6i"" +o!&e $ #e$+ #%+e## of 10 M8$, If%e *o!"!# of +i/ii%' of %e 6i+e i# 90 G$ $n %e #+in/ $# 20 &oi"#= o6 *!& 6i"" %e#+in/ e4%en !ne+ %i# !"" $n o6 *$n' N* of 6o+? *!#% 5e one in +o!&in/ %i#e4%en#ion,

2. D+ie %e fo+*!"$ f"$% #i+$" #+in/#.. A &"o#e-&oi"e e"i&$" #+in/ i# +eC!i+e %o $e $n $4i$" #%iffne## of ?N* $n $n $n/!"$+

#%iffne## of 0.1 N* e+ e/+ee $n/"e of %6i#%. If %e #+in/ i# *$e of #%ee" 6i+e 3**

i$*e%e+= fin %e *e$n i$*e%e+ of %e &oi" $n %e n!*5e+ of %!+n# +eC!i+e. A##!*in/ E >200 G$ $n G > 90 G$.

. D+ie %e fo+*!"$ fo+ "e$f #+in/.. A &"o#e &oi"e e"i&$" #+in/ 10 &* *e$n i$*e%e+ i# *$e of 20 %!+n# of 1 &* i$ #%ee" +o.

Te #+in/ &$++ie# $n $4i$" "o$ of 100 N. Fin %e #e$+in/ #%+e## ee"oe in %e #+in/$n %e ef"e&%ion of %e "o$. A##!*e *o!"!# of +i/ii%' 9 G8$.

3. A +$i"6$' 6$/on 6ei/in/ 3 ?N $n *oin/ 6i% $ #ee of 10 ?*+ i# %o 5e #%oe 5' 5!ffe+ #+in/# in 6i& %e *$4i*!* &o*+e##ion $""o6e i# 20 &*. ;$"&!"$%e %e n!*5e+of %!+n# in e$& #+in/ in 6i& i$*e%e+ of %e 6i+e i# 2 &* $n %$% of %e &oi"# 20 &*. G >9 G$.

7. A e"i&$" #+in/= in 6i& %e *e$n i$*e%e+ of %e &oi"# i# 9 %i*e# %e 6i+e i$*e%e+= i# %o 5ee#i/ne %o $5#o+5 200 N-* of ene+/' 6i% $n e4%en#ion of 10 &*. Te *$4i*!* #e$+

#%+e## i# no% %o e4&ee 12 M8$. De%e+*ine %e *e$n i$*e%e+ of %e e"i4= i$*e%e+ of %e6i+e $n %e n!*5e+ of %!+n#. A"#o fin %e "o$ 6i% 6i& $n e4%en#ion of &* &o!" 5e+o!&e in %e #+in/. G > 9 G$.

9. A &"o#e-&oi"e e"i&$" #+in/ i# %o $e $ #%iffne## of 1 ?N* of &o*+e##ion !ne+ $*$4i*!* "o$ of . N $n $ *$4i*!* #e$+in/ #%+e## of 123 M8$. Te #o"i "en/% of %e#+in/ (i.e. 6en %e &oi"# +e %o!&in/) i# %o 5e . &*. Fin %e i$*e%e+ of %e 6i+e= %e*e$n i$*e%e+ of %e &oi"# +eC!i+e. Mo!"!# of +i/ii%' G > 2 G8$.


6/15

:. An oen-&oi"e e"i&$" #+in/ &on#i#%# of 10 &oi"#= e$& of *e$n i$*e%e+ &*= %e 6i+efo+*in/ %e &oi"# 5ein/ 3 ** i$*e%e+ $n *$?in/ $ &on#%$n% $n/"e 0 o 6i% "$ne#e+eni&!"$+ %e $4i# of

10. %e #+in/. $% "o$ 6i"" &$!#e %e #+in/ %o e"on/$%e 1.2 &* $n 6$% 6i"" 5e %e 5enin/$n #e$+ #%+e##e# !e %o %i# "o$, ;$"&!"$%e %e $"!e of $4i$" %6i#% 6i& 6o!" &$!#e $5enin/ #%+e## of 3 M8$ in %e &oi"#. E > 210 G8$ $n G > 9 G$.

11. Fin %e *e$n +$i!# of $n oen-&oi"e #+in/ ( >0 o) %o /ie $ e+%i&$" i#"$&e*en% of2.2 &* $n $n $n/!"$+ +o%$%ion of %e "o$e en of 0.02 +$i$n# !ne+ $n $4i$" "o$ of 0N. Te *$%e+i$" $$i"$5"e i# #%ee +o of 3** i$*e%e+. E > 210 G$= G > 9 G8$.

Ten marks Questions

1. D+ie $n e4+e##ion fo+ oen &oi"e e"i&$" #+in/ !ne+ $4i$" "o$ $n A4i$" %o+C!e.2. A "e$f #+in/ of %e #e*i-e""i%i&$" %'e $# 10 "$%e# e$& 9 &* 6ie $n 10 ** %i&?. Te

"en/% of %e #+in/ i# 120 &* $n %e "$%e# $+e of #%ee" $in/ $ +oof #%+e## in 5enin/ of30 M8$. To 6$% +$i!# #o!" %e "$%e# 5e ini%i$""' 5en%, F+o* 6$% ei/% &$n $ "o$ of0 N f$"" on%o %e &en%+e of %e #+in/ if %e *$4i*!* #%+e## +o!&e i# %o 5e one $"f of

%e +oof #%+e##. E > 210 G8$.. Te i$*e%e+ of %e 6i+e of $ e"i&$" #+in/ 6i% 3 &oi"# i# 1 &*= %e *e$n &oi" i$*e%e+ 5ein/9&*= $n i%& of %e &oi"# 9 &*. ;$"&!"$%e %e %o+C!e 6i& $&in/ &o$4i$""' 6i% %e #+in/=6i"" +o!&e $ #e$+in/ #%+e## of 00 M8$. ;$"&!"$%e $"#o %e $n/!"$+ %6i#% of %e #+in/+o!&e 5' %e %o+C!e. G > 90 G8$ = E > 200 G8$.

. A f"$% #i+$" #+in/ $# $ +e&%$n/!"$+ #e&%ion 1.2 &* 4 0.0 &* $n $ "en/% of 30 &*. If%e *$4i*!* #%+e## in!&e in %e #+in/ i# 30 M8$. Fin %e &o!"e e4e+%e on i%# &en%+$"#in"e= $n %e n!*5e+ of %!+n# %e #in"e &$n *$?e 5efo+e %e #+in/ i# +!n o6n. $%$*o!n% of ene+/' i# #%o+e in %e #+in/, E > 210 G8$.

. A &"o#e-&oi"e e"i&$" #+in/ i# +eC!i+e %o $5#o+5 2.2 4 10o!"e# of ene+/'. De%e+*ine %ei$*e%e+ of %e 6i+e= %e *e$n i$*e%e+ of %e #+in/ $n %e n!*5e+ of &oi"# ne&e##$+' if

$. M$4i*!* #%+e## i# no% %o e4&ee 00 MN*2

5. Te *$4i*!* &o*+e##ion of %e #+in/ i# "i*i%e %o 20 **=&. Te #+in/ ine4 i# 9. G > 70 GN*2


7/15

CHAPTER: 4 THICK CYLINDERS

Two marks questions1. S%$%e L$*e2 4 103N**2.


8/15

Ten Marks Questions

1. A &o*o!n &'"ine+ i# *$e 5' #+in?in/ $n o!%e+ %!5e on %o $n inne+ %!5e= %e fin$"i*en#ion# 5ein/ e4%e+n$" i$*e%e+ 2 &*= in%e+n$" i$*e%e+ 1 &* $n i$*e%e+ $% %e!n&%ion of %!5e#= 20 &*.

If %e &o**on +$i$" +e##!+e 5e%6een %e %6o %!5e# !e %o #+in?$/e 5e 17M8$= e%e+*ine %e &i+&!*fe+en%i$" #%+e##e# $% inne+ $n o!%e+ i$*e%e+# of 5o%&'"ine+ $n #o6 5' *e$n# of $ i$/+$* o6 %e#e #%+e##e# $+' 6i% %e +$i!#.

2. S%$%e &"e$+"' %e $##!*%ion# *$e in L$*e


9/15

CHAPTER 5: BENDING OF CURVED BEAMS AND SHEAR STRESS

DISTRIBUTION

Two Marks questo!s

1. What things should be kept in mind during the fabrication of chainlink?

2. What would be the effect on maximum stress, if a small cut is made ina closed ring at the horizontal diameter?

3. What are the assumptions made in the analysis of cured beams?!. Where will be the maximum stress in a ring under tension?". What is the statement of cured beam theory?#. What will be nature of stress at the inside surface of crane hook?$. What is the position of neutral axis in a cured beam?

%. What type of distribution of bending stresses occur in cured beam?&. Who postulated the theory of cured beam?1'.Which section is most suitable for the crane hook?F"e Marks questo!s

1. ( chain link is made of a steel rod of 1% mm diameter with straightportion &' mm in length and ends &' mm in radius. )f the link issub*ected to a load of 1" k+ calculate the deflection of the link alongthe load line. ake - 2'' /+0m2.

2. ( bar of rectangular section !' mm x #' mm is sub*ected to a bending

moment of 2 k+m, its centre line is centre line is cured line is curedto a radius of 2'' mm. )f the bending moment tends to increase thecurature determine

a. he maximum tensile and compressie stresses in beamb. tress at the c.g. of the section.

3. ( steel bar 3% mm in diameter is bent into a cure of mean radius31.$ mm. )f a bending moment of !.# +m tending to increase thecurature, acts on the bar find the intensities of maximum tensile andcompressie stresses.

. ( ring with a circular cross4section of #' mm in diameter and a mean

radius of &' mm is sub*ected to a compressie load of 1" k+.5alculate the deflection of the ring along the along line. ake - 2''/+0m2

( cured bar of rectangular section #' mm 6width7 x !' mm 6thickness7,

is bent in the shape of a horse shoe haing a mean radius of $' mm. wo

e8ual and opposite forces of 1' k+ each


10/15


11/15

CHAPTER &: STRESSES DUE TO ROTATION

Two Marks questo!s

1. What is disc of uniform strength?2. What assumptions should be made in case of thin rings?3. Where will be radial stress in a hollow circular rotating disc?!. 9raw a free hand sketch of disc of uniform strength.". What assumptions are made in case of rotating long cylinders?#. What will be the circumferential stress, if a thin flat ring is rotating at

a speed ?$. Where will be the maximum circumferential stress in a solid rotating

disc?%. What will be ratio of the max. circumferential stress in a circular

rotating disc haing a ery small hole at the centre to the max.circumferential stress in a solid circular rotating disc?


12/15

&. )n which case circumferential and radial stresses are e8ual to eachother and are constant?

1'.Where will be max radial stress in a rotating hollow circular cylinder?

F"e Marks 'uesto!s

1. he flywheel of an engine is # m in diameter. he maximum allowablestress in the material of the flywheel is % :;a. 5alculate themaximum speed which the flywheel can be run if the density of theflywheel is $%'' kg0m3.

2. ( long steel cylinder of outer radius 3$" mm and inner radius 12"mm is rotating about its axis at !''' r.p.m.

a. What are the maximum and minimum alues of circumferentialstress?

b. What is the maximum radial stress and where it occurs?ake 9ensity of material $%'' kg0m3, ;oissonind the maximumcircumferential and radial stresses assuming

a. =otor to be a thin discb. =otor to be a long cylinder

. >ind the limiting peripheral speed of a cast4iron wheel if allowablestress in cast4iron is #.# +0mm2. ake density of material as $212

kg0m3

.". 5alculate the stress in the rim of a pulley when linear elocity of the

rim is %' m0s. (ssume density of material of the pulley as $%''kg0m3. )f the speed of the pulley is increased by 2' percent what willbe the stress?

#. ( disc haing inner and outer diameters 1"' mm and 3'' mmrespectiely is rotating at an angular speed of 1"' rads0sec. 5alculatethe greatest alues of radial and circumferential stresses.

7. ( steam turbine rotor 6to run at a speed of 2%'' r.p.m7 is to bedesigned so that the radial and circumferential stresses are to be

same and constant throughout and e8ual to %' :+0m2. )f the axialthickness at the centre is 1"mm what is the thickness at a radius of"'' mm? (ssume density of material as $%'' kg0m3.

9. ( thin solid disc of $" cm diameter is to rotate at 3''' r.p.m. hematerial density is $#'' kg0m3and ;oisson


13/15

:. ( composite ring is made of an inner copper ring and outer steel ring.he diameter of the surface of contact of the rings is $'' mm. )f thecomposite ring rotates at 23"' r.p.m. determine the stress set up inthe steel and copper rings. oth the rings are of rectangular cross4section 1" mm in the radial direction and 2' mm in the direction

perpendicular to the plane of the ring. ake-s2'' /+0m2, -cu1''/+0m2, s $%'' kg0m

3, cu %&'' kg0m3.

10. ( solid steel shaft 3' cm in diameter is rotating at a speed of 3''r.p.m. )f the shaft is constrained at its ends to that it cannot expandor contract longitudinally, calculate the total longitudinal thrust oera cross4section due to rotational stresses. he density of steel is $%''kg0m3and v'.3'.

Te! Marks 'uesto!s

1. he max safe peripheral speed for a cast iorn flywheel is 2" m0s.+eglecting the spokes and taking the density as $!$' kg0m3,determine the maximum tensile stress in the rim of the flywheel atthis speed.

2. ( steel turbine rotor of %'' mm outside diameter and 2'' mm insidediameter is "' mm thick. he rotor carries 1'' blades each 2'' mmlong and of mass '." kg. he rotor runs at 3''' r.p.m. (ssuming theshaft to be rigid, calculate the expansion of the inner base of the discdue to rotation. ake E 2'' /;a, v '.3 and $%'' kg0m3.

Ass#!$e!t No%&

STRESSES DUE TO ROTATION

1. What is disc of uniform strength?2. What assumptions should be made in case of thin rings?

3. Where will be radial stress in a hollow circular rotating disc?. 9raw a free hand sketch of disc of uniform strength 5alculate the

stress in the rim of a pulley when linear elocity of the rim is %'m0s. (ssume density of material of the pulley as $%'' kg0m3. )fthe speed of the pulley is increased by 2' percent what will be thestress?


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". ( disc haing inner and outer diameters 1"' mm and 3'' mmrespectiely is rotating at an angular speed of 1"' rads0sec.5alculate the greatest alues of radial and circumferential stresses.

3. ( steam turbine rotor 6to run at a speed of 2%'' r.p.m7 is to bedesigned so that the radial and circumferential stresses are to be

same and constant throughout and e8ual to %' :+0m2. )f the axialthickness at the centre is 1"mm what is the thickness at a radiusof "'' mm? (ssume density of material as $%'' kg0m3.

7. ( thin solid disc of $" cm diameter is to rotate at 3''' r.p.m. hematerial density is $#'' kg0m3and ;oisson


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. ( solid steel shaft 3' cm in diameter is rotating at a speed of 3''r.p.m. )f the shaft is constrained at its ends to that it cannot expandor contract longitudinally, calculate the total longitudinal thrust oera cross4section due to rotational stresses. he density of steel is $%''kg0m3and v'.3'.

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