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QuizAKey - Seat Name SogQQLEA O EC 2 General examination...

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Unformatted text preview: Seat# Name SogQQLEA' O EC: . 2 General examination rules: (0 16M . 1) Do not put your completed work on a desk r on t floor next to you or anywhere it can be seen by others. If any part of your work can be seen by others it will be confiscated and you will not be permitted to rework those problems. Place it face down on our desk under our existin work.. 2) Please remove your hat. If it is part of your head, turn it around backwards. 3) Please believe this: if your work not legible, or if I cannot follow your logic at a glance, or if you use a #9 nail for a pencil with 2 point font, it will receive no credit. This paper will be written to acceptable engineering standards or it will receive no credit. 4) Please read the problem very carefully. Giving me the correct answer to something I didn’t ask is worth zero pomts. 5) Do not unstaple this exam. You are permitted to work on the back of any page. Simply so state, so we can find your work. Ethical Standards: Upon accepting admission to Texas A&M University, a student immediately assumes a commitment to uphold the Honor Code, to accept responsibility for learning, and to follow the philosophy and rules of the Honor System. Students will be required to state their commitment on examinations, research papers, and other academic work. Ignorance of the rules does not exclude any member of the TAMU community from the requirements or the processes of the Honor System. "On my honor, as an Aggie, I have neither given nor received unauthorized aid on this exam." Signature of student Please do not open this exam until you are told to do so . Miscellaneous equations: Area of circle = pi*D2/4 Polar moment of inertia of circle 2 pi*D4/32 Pi = 3.14159 Problem 1) The composite shaft shown consists of a 5—mm thick brass jacket (Gbrass = 39 GPa) bonded to a 40—mm diameter solid steel core (Gsteel = 77 GPa). For a given torque of 600 Nm applied as shown, determine the maximum shearing stress in the steel core. Problem 2) An engine at A on shaft AB is generating 10 HP at 2000 RPM. Shaft DC then drives a rock crusher on end D. Determine the maximum resulting shear stress in bar DC. Qy] W) Problem 3) Given the square concrete column shown (Econcrete = 4,000 ksi) with steel reinforcing rods (Esteel = 30,000 ksi). The column has 6 circular steel bars of 7/8” diameter. The column outside dimensions are 20”x20” with a length of 16 feet. The steel rods run the full length of the column. The total load applied causes the column to shorten 0.1 inches. Determine the stress caused in the concrete. Problem 4) Two plates are bolted together as shown with % inch diameter bolts. The top plate is %” thick and the bottom plate is 1” thick. There are 150 kip loads applied as shown. Determine the maximum shear stress in the bolts, and the maximum bearing stress in the plates. [ _____ _ ..... _,__ __ OOmOO C J l5OK"——: OOLOO f 00000; Aficcr = TE): ’IT (on emf/4 ; 0/442/N736Lif P'Téour : PM = {507(0442/FXI580L13) =ZZ.éB ‘ 2. ABEHRING 3'91: : @/4m)(34/M = O. fié’ZféIM /BOLT~ G‘ge-«mqmé : WA ; \-5QK/(O. scam =36 x5 @0th) :\W.7BMWWW K/Iidz Problem 5) A bar of length L just fits between two rigid walls. It is then heated to a higher temperature. Derive an equation to predict the axial stress in the bar after heating. AL:O<ATL g/LJJ’YV‘WQ Problem 1) A 20 HP engine is connected at A on shaft AB and runs at 1500 RPM. Shaft DC then drives a rock crusher on end D. a) Determine the maximum shear stress in bar AB. ' wa A?) 2 ‘7' I; 3 ‘43: b) Determine the maximum shear stress in bar DC. Tim DC. '1 HE) S? KS 2 c) If the rock crusher requires one HP to crush 6. 2 tons of rock per hour, how many tons of rock will be crushed 1n an 8 hour working day? GHQ +<3M 95 by? '53") £3220 ,LE—J": 139930 .me 1W 9 W ’ 5 ._ _r_.- r—lsm. 1590ng grew? \57,O?r_4é MM @6501, P: [33,603 mu, Problem 2) The composite shaft shown consists of a 5—mm thick brass jacket (Gbrass = 49 GPa) bonded to a 40—mm diameter solid steel core (Gsteel = 70 GPa). For a given torque of 1600 Nm applied as shown, determine the maximum shearing stress in the steel core. Brass jacket Problem 3) A bar of length L is slipped between two rigid walls, where it just fits. It is then heated to a higher temperature. Derive an equation to predict the axial stress induced in the bar after heating. -- w @WM ©0000] ; I O Q O O O 1 50K I .—'> 1 50K i O O O O O I “W % §c¢$§zg¢ km = o.69\3 HA1 4.... \1 5‘NC1LE, SHE/XL Tmsw: E.» \5 Beams, t \5 A 5% 5 E“ 3 3‘ cc m n. ”me= [570 WA? A awe? :4» (7:; ”(U-5 A QSDCIOMOEM‘) == \50 v»: _ ,5.» \ "Cmnvcu {0.403 1:51. @5M)L'§>Qg> W~W~u Problem 5) Given the square concrete column shown (Econcrete = 6,000 ksi) with steel reinforcing rods (Esteel = 30,000 ksi). The column has 6 circular steel bars of 7/8” diameter. The column outside dimensions are 20”x20” with a length of 16 feet. The steel rods run the full length of the column. The total load applied causes the column to shorten 0.15 inches. Determine the stress caused in the concrete. ...
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