COE 3001 Week 2
COE 3001 Week 2 coe 3001 I
Popular in Deformable Bodies
coe 3001 I
verified elite notetaker
Popular in Engineering and Tech
COE 2001 L
maria cristina sanchez
verified elite notetaker
This 7 page Class Notes was uploaded by Eleanor Notetaker on Sunday August 30, 2015. The Class Notes belongs to coe 3001 I at Georgia Institute of Technology taught by Dr. Kennedy in Summer 2015. Since its upload, it has received 115 views. For similar materials see Deformable Bodies in Engineering and Tech at Georgia Institute of Technology.
Reviews for COE 3001 Week 2
No all-nighter needed with these notes...Thank you!!!
Report this Material
What is Karma?
Karma is the currency of StudySoup.
You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!
Date Created: 08/30/15
COE 3001 Mechanics of Deformable Bodies Week 2 17 Allowable stresses strains Strength ability of structures to sustain loads Design Given a set of loads determine best structure that satisfies strength constraints Factor of SafteV actual strength required strength Factors of safety E ngtl since there are uncertainties 0 loads 0 material properties 0 construction geometry Allowable stress yeild strength CY factor of safety n Allowable stress 2 allow 2 AxiallV laed meCI S39 EA EA L T E sti hess Stresses and elongation in nonuniform bars quot9 w 1 1 239 Determine axa stresses an t 39 ongation 1 Set reference axis 2 Identify segments 0 S X S a a S X S ab 3 Determine internalforce ELEM a 39 l l l l itijgri 39 7 j l d A E crosssectional area E Youg39s modulus 7 P1P2 R0RP1P2 eL COE 3001 Mechanics of Deformable Bodies Week 2 Cut bar between 0 S X S a lP1P2N1OP1P2N10 N1P1P2N1P1P2 Cut bar between a S X S ab N2xP2P1P2OP1N2x0 N2xP1N2xP1 4 Draw internal force diagram 5 Compute stresses in each segment N1x P1P20 N2x 1 A1 A 2 g A 6 Compute total elongation of bar N 525152a 1b 2a 1 b 2 EA1 EA2 039 N P P 6312 12 15iaPlP2bPl E the EA1 EA Q A1 25 in2 a 28 in A215 in2 b25 in L1 20 in P121001b L2 348 in P2 56001b E29X1mp What is 51 FD ZOZMomentz PZb FB a0 COE 3001 Mechanics of Deformable Bodies Week 2 a ou b FByFDy P2OEI b 713 P2 9 61 F 2P F 2P P P Dy 2 By 2 a 2 a 2 2 Forces y Z Forces X Z Moments 9 FA P1FB P1 P2 y y a Cut bar to find internal forces FA FB P10FAxFBxFAx0 gtF3x0 gtFDx0 N1 29001b N2 21001b Internal force diagram Total elongation N L N L c0088a3 E A1 E A2 RP1P2 COE 3001 Mechanics of Deformable Bodies Week 2 N2X P1 N1X R P1 P2 P1 P2 24 Statically Indeterminate Structures 5 0 0 Compatibility equation R2PR10R2R1P 0 More unknowns than equilibrium equations 0 Internal forces cannot be determined from equilibrium equation 0 Additional compatibility equations required N1R1 N2R1P Internal Force Dia ram N1L1N2L2R1L1R1PL2 EA1 EA2 EA1 EA2 6 L P 2 QVLZ PL2 A2 R ZfAAamp A1 2 2 52 Al A2 Q Questions 0 Find force Nc and NS COE 3001 Mechanics of Deformable Bodies Week 2 0 Find stresses Tc Us 0 Find elongation 5 NCASES Compatibility 5 A E N N ASES PN PECAC N PESAS 2 c c ACEC C ECACESAS s ECACESAS PE PE C S 039 c ECACESAS s ECACESAS PL 5 5 5 c s EC AC ES AS Distributed axial loads X 9 F E total force on bar L F If pxdx 0 F poL pX E force per unit length FR0 7Rp0L V cutbar NX pxdxpoL0NXpoxpoLOlepoLx 0 L IpXdx NXZOPOLxNx0NxpoLx x COE 3001 Mechanics of Deformable Bodies Week 2 Internal Force diagram a V r j 39 Cl Elongation in bar i Wm dx elongation of infinitesimal segment of bar Total elongation Q bar subject to gravity load A i773 Determine reaction Total force on bar a I t L forces a A and B pAgdx pA gL A E crosssection RA pAgL RBzo P 5 density unit length R B R A pAgL Ag 5 force unit length 5 0 for compatibility 0 L L 52f Nltxgtdxif RA pAgxdxi o o 1 2 R L A L COE 3001 Mechanics of Deformable Bodies Week 2 1 1 RAZEPAgLRBZRA pAgLZTPAgL Internal Force diagram
Are you sure you want to buy this material for
You're already Subscribed!
Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'