Deflection and Slope Analysis of a Steel Countershaft
School
Embry-Riddle Aeronautical University**We aren't endorsed by this school
Course
ENGR 304
Subject
Mechanical Engineering
Date
Dec 11, 2024
Pages
4
Uploaded by JudgeJellyfishPerson1256
For the steel countershaft specified in the table, find the deflection and slope of the shaft at point A. Use superposition with the deflection equations in Table A–9. Assume the bearings constitute simple supports.A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives power from a motor through a belt with the belt tensions shown. The power is transmitted through the shaft and delivered to the belt on pulley B. Assume the belt tension on the loose side at B is 15 percent of the tension on the tight side.AidenGrapes2608993HWG-25T2=015T,I=Do&Mx=0;(30050)4+(2T.)(3)Ya(x2+b,2(2)=( -350)(14)(8)(82+142-222)GET6(30)(106)(0049)(22)(30056)(4)+(015T.T,)(3)ya=00452inTi=392157lbfZanx(x2+be2(2)=(-45095)(6) (8)(82+6:222)GET6(30)(106)(0049)(22)Tz=(015)/392.157)Tz=58.824Za=00428in[Moy=0;45098/16)Rcz(22)5.Suzi-52+00028"Rez=-32799lbf5=00672in[Fz=0;Roz+4509737799=8Roz=-122991bfEMoz350)+By a[Fy=0;Roy+350-12727=cRoy=-222731bf
101)z=()=((x+bi1)=13.+b.21)COAa)(22)(3(87)+142222](01)z=000242rad(01)y=()xa=((x2+b)1)=32+b.1)COAy50(3(8)+Ez(01)z=000356rada=000242+10.0035632A=00043rad
The cantilever shown in the figure consists of two structural-steel channels size 3 in, 5.0 lbf/ft (See A-7). Using Castigliano’s theorem, find the deflection at A. Include the weight of the channels1767Op=P=(50)(603)JEI3x29x106x35JP=0.106in=GinS5)5=00797inGhan=(13)=10.33Schan=0033inTotal=Op+GutJohan=0.106 in+00797in+00133inTotal=0.199in
Use Castigliano’s theorem to determine the deflection at midspan for the beam.H1669FAB=FAB=0175intIBC75464FBC=0460in4Ra=(10)=900+054Mar=0;(RA)(x)=0=(900+0.5P)XOMAB=05 xMBc=0;(RA(x(90(x3)2)=(900+054)x90(x3)Bo=05Jac=So dd+1900+05p(x+052x+29(450xdx+7 F/Sa1900x-90(x3Jac=0005(inOnet=2xJac=2x00051Onet=00102in