Cylinder Eccentric Load

UNIVERSITY OF WINDSOR  Faculty of Engineering

Mechanics of Deformable Bodies (85-218) Laboratory #4 – tress Distrib!tion !nder "ccentric Load

yle Mastronardi t!dent $D% 1&''88 !bmitted on% *+ril , 2&15 ection% 51-B

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Objectives

.o Determine the tress actin/ on a cylindrical sam+le bein/ s!b0ected to an eccen tric load Eui!"ent

M. niersal .estin/ Machine train 3a!/es Ball Bearin/ teel ylinder am+le *l!min!m ylinder am+le Datascan *nalo/ Meas!rement 6rocessor 

# # # # # # $roce%ure

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-

-

-

.he *l!min!m and teel am+les 7ere meas!red and recorded for f!rther calc!lations at the end of the lab tartin/ 7ith the al!min!m sam+le strain /a!/es 7ere +laced on the sam+le and the location of each strain /a!/e 7as recorded for calc!lations .he cylindrical sam+le 7as +laced into M. .estin/ machine 7ith the ball bearin/  +laced in the center slot .he ball bearin/ 7as ali/ned 7ith the center of the M. machine 9irst a 125 :ilo ne7ton load 7as a++lied and the strain 7as recorded from each /a!/e then a 25 :ilo ne7ton load 7as a++lied and a/ain the strain 7as recorded .he +ress!re 7as then relieed from the sam+le and the ball bearin/ 7as remoed from the center slot to the 2& millimeter slot Both loads 7ere re-a++lied and the strain 7as recorded .he +ress!re 7as once a/ain relieed from the sam+le and the ball bearin/ 7as remoed and +laced into the 25 millimeter slot both loads 7ere re-a++lied and the strain 7as recorded for both load al!es .he al!min!m sam+le 7as then re+laced 7ith the steel sam+le and the +roced!res aboe 7ere then re+eated

Results &lu"inu"

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20 mm Eccentricity Aluminum, 12.5 kN 5 0 -50

-40

-30

-20

-10

0

10

20

30

40

50

-5 -10

Stress (MPa) -15 -20 -25 -30

Distance (mm)

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20mm Eccentricity Aluminum, 25 kN 10 0 -50

-40

-30

-20

-10 -10 0

10

20

30

40

50

-20

Stress (MPa)

-30 -40 -50 -60

Distance (mm)

25 mm Eccentricity Aluminum, 12.5 kN 10 0 -50

-40

-30

-20

-10

0

10

20

30

40

50

-10

Stress (MPa) -20 -30 -40

Distance (mm)

4

25 mm Eccentricity Aluminum, 25 kN 20 0 -50

-40

-30

-20

-10

0

10

20

30

40

50

-20

Stress (MPa) -40 -60 -80

Distance (mm)

Steel

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am+le in M. Machine

20 mm Eccentricity Steel, 12.5 kN 5 0 -50

-40

-30

-20

-10

-5 0

10

20

30

40

50

-10

Stress (MPa)

-15 -20 -25 -30

Distance (mm)

6

20mm Eccentricity Steel, 25 kN 20 0 -50

-40

-30

-20

-10

-20

0

10

20

30

40

50

Stress (MPa) -40 -60 -80

Distance (mm)

25 mm Eccentricity Steel, 12.5 kN 10 5 0 -50

Stress (MPa)

-40

-30

-20

-10 -5 0

10

20

30

40

50

-10 -15 -20 -25 -30 -35

Distance (mm)

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25 mm Eccentricity Steel, 25 kN 10 0 -50

-40

-30

-20

-10 -10 0

10

20

30

40

50

-20

Stress (MPa)

-30 -40 -50 -60 -70

Distance (mm)

Discussion

9rom the res!lts aboe it can be seen that steel handles ;!ite 7ell !nder eccentric load com+ared to *l!min!m $t 7as calc!lated that the mod!l!s of elasticity for steel 7as 2&,"11 at 125 :hile 18= is a lar/e amo!nt of error the lab 7as ;!ite s!ccessf!l other7ise * +otential so!rce of error co!ld be the fact that the cylindrical s+ecimen 7as not +laced in the direct center of the M. Machine .his co!ld affect the strain readin/s since the machine is a++lyin/ +ress!re at the 7ron/ +oint *nother +otential so!rce of error co!ld be 7ithin the strain /a!/es themseles >hile recordin/ the strain /a!/e readin/s from the lab com+!ter the strain readin/s did not sto+ fl!ct!atin/ $f a readin/ had fl!ct!ated /reatly this co!ld affect f!rther calc!lations d!rin/ the lab *nother so!rce of error co!ld be deformation in the cylindrical sam+les themseles $f the cylinder had deformed d!rin/ the e?+eriment it 7o!ld ca!se the sam+les to hae different characteristics than e?+ected 'onclusion

.herefore the aera/e stress al!e of al!min!m at 125:< 7as 1251 M6a and at 25:< 7as 24, M6a .he aera/e stress al!e of teel at 125 :< 7as 12'8 M6a 7hile at 25 :< it 7as 245 M6a

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