Lovely Professional University 2010 B.Tech Mechanical Engineering MEC201 Mechanics of Solid (Session : - 11 Term - 1) - Question Paper
MEC201: Mechanics of Solids
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T. TT* piper conftotik questions dMed in three ports *nd on
2 Parts A and 8 am tompotsory.
3. In Parf C (Questions 4 to t), effempr any 2 Questions out of the Afl&npt *8 parts of the question chosen 4.. ThmsrHsee&eatoeech queetbn ere shown st the end of eacft gotioft
r FertA 20 0M* A* compvfs&y
0.1: Gni short wwifi (2X5)
many deflfMt of freedom Mi a number have n a pinned Howmanyreectorsarethreatct-nssupport? Nemefhem
6) Cp*tidef (he riveted joint shown In Pig. 1 draw an F90 of the upper half of the rivet alone and ahow ALL the external forota on
CHiS Fig. I
Fi* 2 F* 3
c) Cptfaer the three stresses a. 6 and c shown in the Fig, 2. For each
"sSeas give the appfopnate double-index name and tha appropriate itgft according to the sign cotvnemioft introduced tiaae.
0) CerOider a smeH sque* element of aide 02 mm aligned with x and / ewe, which altar deformation haa t* shape shown in Fig. 3. Coordinates attar deformation (In mm) are: -4(0,0). 0(0.104, 0.013), and Q(<p\l, 0.196). What is the shear strain of this element?
aMw ka she* flow defined? What ere its ui*s?
Q. 2: Answer both parts; (6X2]
a) figure 4a shows tha variation of shear strain and shear atreas in a circular shaft. Fig. 4b shows a circular composite shaft wtth outer material having a aheer modulus rerger ihsn that of the inner coft. Copy Fig. 4* in your answer took. Draw ttv typical varietfon of ahter Mto and shear strew for the composite shaft.
Fi4* Fig. FJg.5
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100 kN 3m |  |
Umber c,-i2MPi taaaw -SOOGmsi2 'I 16MPa |
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Fig. 6 | ||
2.
2m
1 m
b) Fig. 5 shows an elemental area on me cross-section of e circufer shaft with the shear stress r shown on it. Write an expression for the twisting moment T resisted by the shaft, given that stoat stiesa r = Qr&dyl&t. Pari 8: 10 Marts. Compulsory
Q.3;: Answerjoth parts. [5X2)
a)ht>w by drawing an approbate tree body that the vakie the shear fare -""in a beam jumps up by F at a location where a concentrated load P ads.
b) Explain clearly why large ga* containers are spherical in shape than cylindrical?
Part C. 20 Marks. Attempt two out of three questions
Q.4: Find the maximum allowable value of P for the cofumn "'"shown in Fig, $. The maximum allowable compressive stress for each material is also shown in the figure. [10]
Q.$: The ends of the compound shaft #r* attached to f>vc rrgtd werffis aa ahovVfTfnTlgfe Obtain an expression for the twist at section 8 in terms oK U.OvO* Qi. S*. T. VVGi Q.6: DwwTfie shear force and bendjng moment diagrams of tne oeam shown in Fig. 6. Use method of sections. [10}
100 kN
J
Fife. 8
0 m
Fig. 7
Some Important data and formulae
For a tttn cyftndrScal pcomra nd ~ For a thin sptoncal pfeesure vessel, u
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| Earning: Approval pending. |
