Popular in Course
Popular in Engineering and Tech
One Day of Notes
verified elite notetaker
This 31 page Class Notes was uploaded by Shanel Lubowitz on Monday October 26, 2015. The Class Notes belongs to ENGR0145 at University of Pittsburgh taught by Staff in Fall. Since its upload, it has received 88 views. For similar materials see /class/229413/engr0145-university-of-pittsburgh in Engineering and Tech at University of Pittsburgh.
Reviews for STATICS&MECHCOFMATERIALS2
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: 10/26/15
Review of Stress and Strain ENGROI45 Learning Objectives Signi cant Figures ReV1eW of Stress and Strain Axialhead ng S ENGR0145 Statics and Mechanics of Materials 2 William S Slaughter Mechanical Engineering Depaltinent University of Pittsburgh Student Learning Objectives Students should be able to determine gt normal stresses in axial loading shearing stresses in single and double shear bearing stresses stresses on an inclined plane in axial loading normal and shear strains the relationship between stresses and strains Review of Stress and Strain ENGRO 145 Learning Objectives Signi cant Figures Axial Loadjn g Strees e S Nemeifsnress Sh egg Signi cance of Numerical Results gt Final results beginning with a 1 should be rounded off to four signi cant gures and those beginning With 2 through 9 should be rounded off to three signi cant gures 123456 gt 1235 765432 gt 765 gt At least ve signi cant gures should be retained for all intermediate results in order to avoid round off errors gt For angles7 retain signi cant gures to at least three decimal places 817693o gt 81770 Review of Stress and St i ENGRO 145 Learning Objectives Signi cant Figures Axial Loading Stresses Axially Loaded Members V Force vectors F17 F27 and F3 gt Equilibrium gt 2 F F1 F2 F3 0 gt Axial loading gt F17 F27 and F3 are collinear gt Magnitude F gt iFl F2 7F3 0 Review of Stress and Strain ENGRO 145 Learning Objectives Signi cant Figures Axial Loading 6 N I39maliS g ss PM Axial Load Review of Stress and Strain ENGR0145 Learning Objactives Signi cant Figures Axial Loading 395 we Axial Load Revaanegvgtfrg ess ENGRO 145 Learning Objectives Sign i aant Figures Axial Loading gt Equilibrium gt R F1 F2 7 F3 gt R is the axial load in the member at the location where the cut was made gt R gt 0 gt tension gt R lt 0 gt compression Normal and Shear Forces on an Inclined Re t ifs Plane ENGR0145 Learning Objectives Signi cant Figures Rg normal force 3admg NarmalStEess FlR Sips a shear force 1 Rn RCOSt97 Rt Rsin0 V stress forcearea gt Units gt US Customary l lbi112 1 psi 1 kip 1000 lb 1 ksi 1000 psi gt SI 1 Nrn2 1 Pa Pascal kPa7 MPa GlE a7 Review of Stress and i ENGRO 145 Learning Objectives Sign i aant Figures Average Normal Stress Axial Stress cross sectional ar distributed internal force A i V xlal Leading stresses rmal Stress I res F 253 gtFgt 1 resultant normal force gt Average normal stress7 o avg FA gt Sign convention gt tension gt aavg gt 0 gt compression gt aavg lt 0 Normal Stress at a Point gt Normal stress at a point 7 1 AF A230 AA 039 Review of Stress and Strain ENGR0145 Learning Objectives Signi cant Figures AxialLeaAiing 3 ormal Sgress E S s Dam Axial Loading Assumption Review of Stress and Strai Except near points of load application7 normal stresses in axially loaded members are approximately uniformly distributed ENGRO 145 Learning Objectives Signi cant Figures Axial Loading Sbng e gt azaavg N51 Axial Loading Example Elsi ENGRO 145 Learning Objectives Signi cant Figures Axial L ead in g Stre Determine the axial stress normal stress on a cross section in the interval AB Review of Stress i Axial Loading Example andst ENGR0145 Freebody dlagram Learning Objectives Signi cant Figures Axial L cadjn g 1254 60 75 60 C 754 D 125lt J 2F 7FAB 7 2125 260 7 275 7 90 0 FAB 7370 kip TAB 7231 ksi 231 ksi C Team Problem Regsmfrg ess ENGRO 145 Learning Objectives Signi cant Figures Axial Leading Stre Determine the axial stress on a cross section in the interval BC Answer 03930 7300 ksi 300 ksi C Average Shearing Stress single shear I 39 gt A9 is the cross sectional area of the bolt7 shear pin7 etc gt V is the resultant shear force acting on A5 gt Average shear stress is 77mg VAs Review of Stress and S rain ENGROMS Learning Objectives Signi cant Figures Axial Leading Sb 6 tmalristr ss A g Single Shear P ZFV7P0 VP Mi 5 Review of Stress and Strain ENGRO 145 Learning Obj chives Sign39i nant Figm s Axxr 1L eac ng Review of Stress and Strain Double Shear Learning Objactives Sign39i a anc Figur s Aw 1L 8 caching Team Problem Review gures and St ENGRO 145 glued connection Learning Objectives Signi cant Figures Axial Loading P P Stresses m Normal Stress hearin tress L 300 mm g Plans 55 The glue supplier s speci cations state that the shear stress in the glued connection must not exceed 950 kPa If P 50 kN7 what is the minimum allowable length L of the splice plates Neglect the gap between the two plates being joined by the splice plates Answer 1754 mm Review of S and Axial Loading Stress on an Inclined Plane tress i Learning Objectives cross sectional area A Axial Loadjn g e N Sbte e P4 F P from equil 39 V gt Normal force N Foos0 gt Shearing force V Fsin0 gt lnclines surface area An A cos0 Axial Loading Stress on an Inclined Plane Review of Stress i and St ENGROI45 Learning Objectives cross secuonal area A signi cant Figures VF e N Axial Leading g PF P from eqml V gt Normal stress P P an AX Ecos20 1cos20 gt Shearing stress 7 P i P i m7 7 Zsin0cos0 7 slnw Review of Stress and Strain Axial Loading Stress on an Inclined Plane Learning Objectives P 2 Signi cant Figures 7 COS 0 AxialLeadjng Sb P an A 1cos20 7 sin 20 P i P TnZSIH0C0807 2A Axial Loading Stress on an Inclined Plane Re ie ENGR0145 cmss secu39onal area A f a stress n Learning Objectives 1 Signmm Figures Axial Loading 0mm Unl90 if P gt 0 0mm Unl9i900 0 P lTlmam lTnl9i45 g gt Sign of Tn is not signi cant gt 0mm and 0mm occur When Tn 0 gt lTlmam iamaz Normal Strain Regsmfj ess ENGR0145 Learning Objactives Signi cant Figures A 1 Leading Review of Stress i Normal Strain and scan ENGROI45 gt Average normal axial strain Learning Objectives Signi cant Figures Axial L oad in g Stresses ging L gt True normal axial strain at P i A6 7 d6 13 52130 E E gt Extension gt 6 gt 0 gt Contraction gt 6 lt 0 Review of Stress and Strain Shearing Strain ENGR0145 Learning Objectives Signi cant Figures Axial Loading 535 e N rm ism c2 e39 V Average shear strain 6 yaw ZS tan gt z ltlt 1 rad gt True shear strain at P 165 A65 7 WigP 1303 dL Units of Strain Strains 8 and 39y are dimensionless ie lengthlength gt Sometimes given in micros u x1043 a 3242 324 x 106 324 x 104 gt Also7 sometimes given in inin7 rad7 etc gt Meaningless 6 324 pinin 324 umm Review of Stress and Strain ENGRO 145 Learning Objectives Signi cant Figures Axial Loading Sb 65 N rm ism Team Problem concrete test specimen 400 mm Assume that concrete fails in compression When the compressive strain reaches 1200p Determine the maximum change in length of the concrete test specimen shown above before it fails Answer 0480 mm Review of Stress and Strain ENGRO 145 Learning Objectives Signi cant Figures Axial Loading Review of Stress i Stress Strain Relations autism Typical stress strain diagram for axial loading ENGROMS Learning Objectives Signi cant Figures Axial L ead in g Sbte ss e 0PA rupxture linear elastic regime s 6L Review of Stress and Strain Linear Elastic Deformation ENGR0145 Learning Objectives Sign i aant Figures If a lt try the elastic strength gt E 78 is a constant gt Young s modulus or modulus of elasticity kneading Stresses gt Similarly in shear7 G Try is a constant gt shear modulus or modulus of rigidity Review of Stress and St i Some Typical Moduli Values ENGR0145 From Appendix A7 Tables A 17 and A 18 gt Structural steel 0y 250 MPa 36 ksi Axial Loading Stresses E 200 GPa 29 x 103 ksi G 76 GPa 110 x103 ksi gt 2024 T4 aluminum 0y 280 MPa 41 ksi E 73 GPa 106 x103 ksi G 28 GPa 40 x 103 ksi 39 7 39 e iew o res P01sson s Ratio R 2nd Sign ENGRO 145 Learning Objectives Sign i aant Figures Axial Leading Stresses lt F 4 L6a gt Axial strain 6a FaL gt Transverse strain 8 6td gt If 6a gt 07 then Q lt 0 and Vice versa gt Poiss0n7s ratio is 5t 3 1 Review of Stress i Poisson s Ratio Wm ENGROI45 gt Poisson s ratio is a material property l 1 Learning Objectives typically 1 1 to Signi cant Figures gt Rom ENGR0135 and again later this semester7 AfalLQadmg E21VG gt 1 71 gt structural steel 1 032 gt 2024 T4 aluminum 1 030
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'