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Problem set 1 in machine design
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ae “STRESSES & MACHINE ELEMENTS
PROBLEM SET #4 erect enna oyu or
INSTRUCTION:
MULTIPLE Gros" the later hat coesponds
- ir find the
smeter of rivers 10 inches,
* Seperate canteen
A15in between cy B. 10in c.25in o20h
Dit? De la ee Een
Dees
Da = Di (ae rs
ia Ce) (eee
: ; ciameters
2 Two cylinders ring ite sae reconnect? Sender dtc of60.n,Findte a
ofthe larger
Asn o.16887 p.6867in
BAe Da as Get
Die. Ds 3 Lon = 65.6163
cares ads Wee c7emx te = 65.610in
aude ferro 330
3. Four cylinders roling in opposite drecsons hes a speed rao of AB:C:D = 53:14, IFoerter distance
aynder A and Cie YO inches, fd he ameter of pnd , 02
A 1875in . Botg—ns 0
Ditty © Dee > Bydia: Bully 3 pe aes 756
052030) [Orta a | Do= Zs a
% 2o20 / 7) oy 2 on () E°SEI=7E ci
= 2 (%)| ds = v2(3) aif ob, eBfg J V9 OD = ERE
‘4. Apulley has a tangential velocity of75 fpm. If puley ameter is 10 inches, find the speed ofthe speed,
A 24.34 pm "2885 1pm c. u2imm D. 8234 pm
28.65 x9m)
in xtZ)CN)
ja
FMP in ae
Shaft A with 12 inches diameter pulley running at 250 rpm is connected to shaft B by means of 26 inches.
Bl, ple on bY re ann = cod Os Gre a noe he
@ we! pm 8. 29480.5m ©. 17945 pm 0. 197.44.mn
= Bers a)
Eva
= Ws.38 4 Gl vpm
6. Asteel te rod on bridge must be withstand a pull of 6200,
Saley of 4 and utimate sess of 6,000 psi Ie. Find he camer of the rod assuming @ factor of
A 0234in B. 0.634in ©oee1in ro
*
Sa pe Set |p oa)
FS ae uP
7 Noein soa sera etl 45.0 wt re necesay
neg in pues plate using 2 factor of safety of Pincha oi
© 63617 bs 8. 61587 bs ©. 653788 é Sin cameter hole
See 68.345 tbs
aoe
i
sooo = .
» wOM6Sin 7
B05) Fe canoeA25 in diam
through a single Y 1.8 i,
320 rpm using
ole ap ot long jc fing is to Cat 15000 Ib load at
A 4111.44 pole at ag, 5 puna! beni my
the bearing pressure. 1. 197.34 psi
Bae pel ©. 123.94 Ps
Sect OO = wt Bo
A journal bea cl ami) Wi
c
z i
'0. A cable steel has = 16200 mt? ie at both ends. If tensile stress 'S
SO raters ng aS won He 7
i” :
100,000 pet onsty of soa Gp H000088 D. 130,000 psi
18s 56 yh
ut ~ sen = SP
yom 7 ee Some W000 ee
Sern
Fuiem
De i tr of 1.25 inches and yield stress of 63,000
psi, a wnoge toraue varies from 2200 10 6400 ib Ithas a diameter
A 6524.48 pol 1 aoa8.66 pel ©. 5476.95 psi D, 7834556 pst
g- Me Quins, YoComettl gy ge. 95 pe!
aa be an ¢
+12. How many 1/2-inch diameter hole that can be punch in one motion of @ 1/-nch-thick plate using a force of 50
tons. The ultimate shear stress is 52 ks! and factor of safety of 3 =
AT 8.9 C8 D_i0\ 5
Wat
oe Vo ore = 0 ens& ooolh . = js0000 MS sooo Te
av 1407 ep cna
= Gus S288 gts S200 Migr WojD+
sat STR We
42 ).220a7 202
ine te iia ameter paeesormaoope eee ir
18 ago iib. The shaft diameter is 1.5 aches andhas a stress of 20,000 ps apodeme Ys
"A. 0,252 in Beh ©. O62in D. 0.826in =9.3=10
it
row Ty
720.0" 4
pee wow te, ~ ete
tio We Ty
° u
= 1000 Wo‘termine the® Useq 10stud
* sa Pe eon on tmnt te ogee fone
S
he cinder bt see Lo
Bee may Dzaee se © SBT ©. 4828 Kpa
De= Kew of Ha
Aco 5 wy
185
: B.zeim pears
Ez 0. ON My
+ A20 mm diam
ee SIT,
Ber Se a ta Termenvonenig
wenn ISR pp ect ne hes me cp
A. 28.35 KN B. 28.42 KN
B@xI0? =
2S tt ean
fo ee ee ata mee nang
*
Far WOXIO pa “WOoNGos) = UB en
3 KL torque, Find the sess
shafts subjected to
20. 42.5 inches shat 8 ane ©. S067 Mee D. 3864 Mpg
e
S=ve » te
MesaBL TS SIGN. GY eR
ing TOT He
se rteaun be Sete Sesto up parm
Sa Ree _
"A123 KNm
© 184m et 35x gy
jen — S Taw
zfe
2
pow 01 Vo
\
a radius of 600
lever, has a pul of 200 Nat
; Sued 08 50 mm (d= 10 mm), has 8 ull
Tm tga Te Working ares Sat by a sat pared (6 = 10M Na 8
A at "o*tesson ne pint, Come Sa
D. 4 )
wen VAT C200) (9 PTs ay
ss ~ 1} Fe
.
me D xa? sonm™ (\0)
beam is 110 Mpe,
Lean, 2 pled tee ond. tthe allowable tess
ingction moduius, ~ Mtn weight i D. 24.2810?
23. In a20m cantievereg
determine the :
A 1854
L=am,
M
i 4
B. 2u77iny ome th PR 5 Ln
= BAM ENO gasaz sen m7 xeon ecm
2a
ne % 103 yn n> we
Lai0c xo-cerai] a 39 24
Gpa, find the | 3) >,
24, julus of elasticity is 200
teed pps 68m ong and stretches tem ur agen trmodt nes
ATKN B.akN ©. 9KN
EWAE eit 2 Fm)
YL oom FEM = OM
Ke 7 opel Ceexe) TS Aun]
25. A steel wire 10 m tong
ing the weight of wire, determine
Fang Vertcaly supports a tensile oad of 2 KN. Neglecting the: 7
Asam ES Sameer cess en aa eal? Nene wh fw, deen
S
A 2mm— 8. 3mm c. 4mm . (B smm
© ee
Fl 2-2 BANCO = 5x0?
YR Bim = Boor fox’)
Smm
28. tomodaas chee OREN ros econ rees 1mm wen aessc225 4g hanged on Compute
re Ren Seay ten
176.58 GPa B. 169.81 Gpa ©. 160.41 GPa D. 180.28 Gpa
0-00 1ya> (2220-0023) ki) (4)
Re = 1% 58
hip os en a? E ork
27. A200 radi sveenes oa erin of 000. Osamne he -
deflection ofthe rod,
20mm B. 25mm ©. 30mm D. 35mm
Ye AS, pre © Stay
L oe 207
; Y= 009m
A giana confit fer om 118 1% ncaa hen
at Ain Determine the strain. jh when heated fom
A 204x104 5 05x10. Lg 40szane D278 |
You (haw L Yor cate)
=(v Ox?) Eseq* ary), =f9 ONE]
29 ean foramen no a gy
= 11.7 x 10 mim°c,
temperature of 15°C Use k an mise ches Seen tm tity
eet D. S064
Y - VK) CO} Tavg
9 90% )
Tre 40-Gy edAc MRE ey,
A 4512 x 190 ak an
: sg, mano cantons Determine the polar moment of
Om == c. gs2x10%m! =D. 7.125 104 mt
rDy no 08) I= Coot
a 32 = 6.2.200e
INF. TaN oy
of A08.3°F (78, a pryete OF Stel material so thet the o
a Sec) teat aa mati 0 thatthe sighity amar le of son busting of
Fe Don eraee bushing 8 aesstY 988 Heating = 245%, Cooing med one yo va bolng pst
‘A 0.000793." Shing hae bai?
es pag Boting pont 000073 Deon teal earancebebween
& YIMEGAA) me Ete Sela crte eta
a no in ©. 0.000750 in , 0.0000 in
So068 agg Maly fey fF Beene a at wee ely
@ drag 4, eo a0? ye <0 -00073 (2) + ~0-2 046 G)
othe 2 eaesea
32. What mod a mer
ulus of. “L999 393. 3 gaan -Longe sug {2-00083]
a.unit tensile stress, ini lene
1h 42,300. pa eon unt dfn F010 mn tom ad rotons
S Manx torpe —c. aso1xicrps (Diy 905210 ps
»
yyeoo
= Yr. TOB¥IO’ pi
33, the weight of 6 diam 3108 WS Ny
SAE S4t6 of same act YS MUSAE 120 hata 174814 what wil be the weigh of chvmium
5
al 2 26.4ibs D. 465.1 ibs
eT
34. Compute the maximum unt sharin a3 nees ameter soul sang at vanamits 2400 no tava 99
om, eet
(482.7 ps 8 es70ps 6, 90850581
se let
wy 7
sine Wick wns pars 61st tes egress Hn
35. Ifthe utimate shear stress of@
a ee Nm
ag Ks Hooalg 2700 eaCiTT
Ter 7
2000 to E000 ins has 1% ncn ameter and 60000 ply! strength
38. The shaft whose torque ares FoR,
efor re shot meat VO Ao et cstezps S860 pa
jones eal as! 0902 )
Sx A — yT ¢
sac odor of 060. Te axtace oor is 099 an the endurance sera
2 naam wate seen te Sates et nme ao
's 28000 psi. Cor
cay a 1090 @)ass 7260
ast 25000 9539.97
=
2S‘A178 e
Bay, $8,000 into ata shear stress of 10,000 ps. Compt the ameter of
cs Gy»
S= eT oy n
lovee = Ie (3@ 000 in 1H)
30. Asst pits 10 be shear ate —————_ 9 2-64 4
uate shearing stregg tt 815 Ww 03
Re rE ne Te ate
"ELPA, Fd ine ate i aches 2 hub toa shat 1S inches in ater and
chin Din
40./A steel 0.5 inch x 4
/ wid if poison's ratio ie 8S 200 k
‘A. 0.000007 in S225; Bag tiie a sons esos Find the deformation along its
90000697 in ©. 0.000016 n . 0.000067 in |
= elon Ee ms & By = Bez”
= me ee Eee \
‘corded 0-23 “Sayre & sab
41. Asteel rods stretched betwee
ignotto exceed 130 MNim? at “ayer 94 walls and caries a tensile load of 5000 N at 20°0. ithe allowable stess © 7™" “S5;,¢
20 am * whats te minimum mettre? Aasurok= HAT umMIMACE=
122mm ©. 12.22mm D. 1322mm os
ANSWER KEY
a ze 3A 48 5A ne
ee se eee ee ~
te 12.8 43.8 48 16.8 ae
16.A 17.0 18.4 19.0 20.0 yw
20a 2A 23.8 24.6 26.0
26.8 aA 28.¢ 20.8 20.8
3A 32.0 aac 34a 25.0
36.A 37.¢ 38. 20.8 40.8
41.0
uy.