fall_2003_q4m_sol

fall_2003_q4m_sol - 9-10 AM NAME 0 4 tM,S November 14‘“...

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Unformatted text preview: 9-10 AM NAME 0 4.. tM.,S November 14‘“ 2003 COVER PAGE LUJIMDHEEJ) @UJUZZ 4333918 (Quiz M4 Handout (provided); no books, no notes; calculators are allowed) - Put your name on at least cover page, and each page if you remove the staples. — Read all questions carefully. - Do all work on that question on that page. Use back of that page if necessary. - Show all your work, especially intermediate results. Partial credit cannot be given without intermediate results. - Show the logical path of your work. Explain clearly your reasoning and what you are doing. In some cases, the reasoning is worth as much (or more) than the actual answers. - Be sure to show the units as well (if necessary). Intermediate answers and final answers are not correct without the units. - Report significant digits only. - Box your final answers. EXAM SCORING FWAL SCORE - Unified Quiz 6M8 November 14th, 2003 NAME PROBLEM #1 (35%) a) For the pin jointed truss shown below calculate the reactions at points H and E due to the 20 kN load shown. All the internal angles are 90° or 45°. The truss is made of steel bars, with cross-sectional area 400 mm2 and a Young’s modulus of 210 GPa. 8m 2: H A A '1IIO l ZOkN A /,2 Unified Quiz 6M8 November 14th, 2003 NAME PROBLEM #1 (continued) (b) For the truss shown in part a) find the forces in bars AC, FD and GD. 8m H AK % 2C A l 20kN AC Mof} (33 FA 7 ( K A , . t”) #7 .MWNH QA9A4~ wza k) PM i Fag = HOSE, 76> if? _. t», «.o a 5%, -2mfig Unified Quiz 6MS November 14th, 2003 NAME PROBLEM #2 (35%) The pin jointed truss shown below has been analyzed and the bar forces calculated and are listed in the table below. Positive forces are tensile, negative are compressive. The bars are made of steel, with a modulus of 210 GPA, thermal expansion coefiicent of 10‘6 /K and have a cross sectional area of 500 x 10‘6 m2 . a) Estimate the deflection of point A. 8m —Ilv 30kN 4m D AC E- L" 4‘“ o I- AWW L m, L rat. 4, l \ l 0 -.- l 2 O r...» ire" w @fiwfiflds is I {32 8. AA ...... -.I!.i:l..i1ll|[iii§§i.,,.w_ v a 7,, , ~ 1T M‘, ‘hMMWHwiv “Kid Tag/32:1 [Lumu £55 _m.miH rota; M-o_.xnsm +xflo.x£xm3.¢ H x .3 MN w v4 4 Unified Quiz 6M8 November 14th, 2003 NAME PROBLEM #2 (Continued) b) How would your answer to 2a) change for each of the following cases: i) The load on the truss was doubled to 60 kN applied horizontally at point A m (.1 ‘3. MAJ“. ‘ {A eighth-Am {221 {4 2., Wross septlo’fial area of all the pars/of truss was doable’c’lta‘fl 000 x 10-6 m2 ./“"’J' i "l; ,.r" I, J ,if L 3' "My ’ Kiwi-f“: I“ gin-L." i\\ g .tfir‘h ar-y’w‘fl-ye' Unified Quiz 6M3 November 14th, 2003 NAME 1 “aging-mi x-s. iii) You are required to limit the lateral deflection of the truss to less than 1mm. If the overall length of the truss is fixed, how might you achieve this. Provide a quantitative answer. Yum. C owl A A LA!) 0 (51.1% 5A MIA-«L (3 r4» v’ 5 a, A m (.m' 6i)»- 5" 5 I lo, 600 x lo‘ ,x s. 5 2.749 HO pix C r ‘ A a " 5- ‘ré ( w r . x. i \ r I f‘ L f l l_ r l .J I f t -v i i '2 J) (la-C". " will“ [ix 1 ‘ f 5.. j I i \ ,4» p, u ‘ t '_- i“ r '\ 3A ‘ U I 4;.) r Unified Quiz 6MS November 14th, 2003 NAME PROBLEM #3 (30%) a) What is meant by the phrase "structural integrity"? {K t gal-(A HA‘ by.“ fi-Ixyka‘r We V" FM. 1 L,qu "at 6;?“ M M b) What is meant by the phrase “statically indeterminate” . . _. 1 y‘- ' 1 M1wa Dana. :11 €21» (is YW‘» aka-*4 ‘4.“ MN? {we m. r. {M OLV‘ “Mg-1' gift. 2* finite", If? W t l [i {Y ‘J M > U ‘3'“ 9"» ft") Unified Quiz 6M3 November 14th, 2003 NAME 0) For the structure shown, loaded by a load of 10 kN midway between joints B and C, calculate the forces in the bar AC. Unified Quiz 6M8 November 14th, 2003 NAME d) For the structure shown below calculate the forces at joint B 2 m , I i F i 4; 8 I\:~'\. Lima Q Q'VVLQ Lkuv‘f‘e Mm 4-- CJ LAM‘YJ Unified Quiz 6M8 November 14th, 2003 NAME e) Explain the principle of operation of a resistance strain gauge and its advantages for measuring strain to a freshman in 16.00 i ‘ v1 r L" A. (f ISLAM-«3 41.3» M)- ‘Wfir‘fiv LEA 9 (\ALJLMkCa-a “A w j ’\ i . v o _ a"; g ‘A c ( 1w zfleyoexsimw QC ("‘{fixfis' ' "‘ “A r 7 ‘ : W4 ‘1... a” I w iv“ 5" w 2 ~v-”‘J“C k- L‘A L a?! M419 \u 3. lam/9W k, ‘J Q“; .3: ‘ . y I“ ’ I i“ y" '5'— Va‘p C Q,” L “MD yvtflm (J5 (f ‘w v”? a N x g "k ...
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This note was uploaded on 01/28/2012 for the course AERO 16.01 taught by Professor Markdrela during the Fall '05 term at MIT.

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fall_2003_q4m_sol - 9-10 AM NAME 0 4 tM,S November 14‘“...

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