mechancs of solids

8/18/2019 mechancs of solids

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SATHYABAMA UNIVERSITY(Established under section 3 of U! Act" #$%&'

Course & Branch: B.E - Mechanical

Title of the paper: Mechanics of Solids - II

Semester: V Max. Marks: !Su".Code: #$$!% '!!'('!!%('!!)('!!$* Time: % +ours

,ate: '-!)-'!! Session: /

01T 2 #! x ' 3 '!*

ns4er ll the 5uestions

#. 6hat are the assumptions made in the anal7sis of their c7linder8

'. 6hat is compound c7linder 9ie one application area of it8

%. ,efine columns and struts8 6hat is common feature "et4een

them8

). 6hat are assumptions made in deriin9 Euler;s formula8

$. ,efine plane stress.

. ,efine principle of minimum potential ener978


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01T 2 B $ x #' 3 !*

ns4er ll the 5uestions

##. thin c7lindrical shell> 'm lon9 has '!! mm diameter and

thickness of metal #! mm. It is filled completel7 4ith a fluid at

atmosphere pressure. If an additional '$!!!mm% fluid is pumped

in > find the pressure deeloped and hoop stress deeloped. ?indalos the chan9es in diameter and len9th. Take E 3 ' x #!$ /(mm'

and @ 3 !.%.

or*

#'. compound c7linder of inner diameter '!!mm> outer diameter

%!!mm and diameter at Aunction '$!mm is reuired. If the radial

pressure at Aunction is to "e kept at %!/(mm'> find the shrinka9e

allo4ance. Take E 3 ' x #! /(mm' .

#%. ,etermine the section of a cast iron hollo4 c7lindrical column %

m lon9 4ith "oth ends firml7> "uilt in > if it carriers a axial load

of !! k/. The ratio of internal to external diameter is $(. se

a factor of safet7 ). Take f c 2 $$!/(mm' and 1ankines constant

for "oth ends hin9ed case 3 #(#!!.

or*

#). hollo4 cast from iron 4hose out side diameter is '!! mm andhas a thickness of '!mm is ).$m lon9 and is fixed at "oth ends.

Calculate the safe load "7 1ankines formulae usin9 a factor of

safet7 of '.$. find the ratio of Euler;s to 1ankin;s loads. Take E

3 # x #! /(mm' and 1ankins constant 3 #(#!! for "oth ends

pinned case and f c 3 $$!/(mm'.

#$. se the 1a7lei9h-1itD method to find the displacement of themidpoint of the rod sho4n in ?i9 #.


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or*

#. lon9 rod is su"Aected to loadin9 and a temperature increase of

%!°C. The total strain at a point is measured to "e #.' x #!-$. If E

3 '!! 0a and F 3 #' x #!-(C> determine the stress at the point.

#


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#=. ?or the trian9ular element sho4n in ?i9 ). The nodal alues ofdisplacements are u# 3 '.!> u' 3 %.!. u% 3 $.!>

V# 3 #.! ' 3 '.!> % 3 %.!

G"tain the displacement i.e. u> * of point 0'>'* 4ithin the

element.

or*'!. ?ind the deflection at the load and the slopes at the ends for the

steel shaft sho4n in ?i9$. Consider the shaft to "e simpl7

supported at "earin9s and B.

mechancs of solids

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