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**Unformatted text preview: **SOLUTION (3.17)
Known: An M51 3140 steel part is heat treated to 2i0 Bhn. Find: Estimate S“ and 8):. Schematic and Given Data: AlSi
3140
Steel lieat
Treated
it) 21 0 Stan Assumptions: .1. The experimentally determined relatioaship of ultimate strength to hardness is
snﬂ‘ieientiy accurate. 2. The experimentally developed relationship of yieid strength to ultimate strength is
sufficiently accurate for our purposes. Analysis: I. Using liq. (3.1 l), we can estimate 8“.
Su = KBHH
where K}; m 500 for most steels. Su 2 500(210) *4 105,000 psi I
2. S). can be estimated by using Eq. (3.12). St.- = 1.05 Si. « 30,000 psi = 105001000) - 30,000 m 80,250 psi. I
Comments: I. Equation (3. 32) is a good estimate of the tensile yield strength of stressurelieved
(not cold-worked) steels.
2. Experimental data would be helpful ta refine the above equations for specific steels. H “gamma;le
TF X {g
<girs3ro‘7; {2301, Srlwmutic and Gin 1mm: .. ,......________— w____.___ S(',)I,£"l‘l();\' {4.27: Known: liu: iimilmg nrmilc sire.“ in (l (,‘rrulz‘tmp is yawn Find: [fk‘ivrmmc Ihc angummm {111133.17lhzncan ho cxvrlcd [3) {11: mm. i l
E
g r;
m m m i
J
i
i
a i
' : ' ‘
o, m I ' IIII. H J Assumpiinn: Thc mnlcrinl IS hmnngcawoua and pcri‘ca'tiy clexélir .\ nzllysiK: I.
rl‘x
\“J {7.
' '\.,I
F .
1‘ 5 t
a l : i i ,-\H.;. x 3620 II“:
-'\I rt” 1-H){1!ll '1' H IS}1 111.7 Continued on next page T profit basis for testing or fnslructionai purposes only
eproductéon or translation of this work beyond that
he permasmon of the copynght owner ES unlawfu! ___ A: t), -t- A ,1 {'3
.‘A‘ui l [\3 i‘u‘ ‘3 i't‘l, ({t. tattle} [39) + t n. 1400 3 tt._ttl.‘~.3 +_{].t)f)t)~ {l 292‘.) 1
'3 ' "n .3 l»
((l.ln_.}tm+ 3.21 + 0.1523 '1 = (1353.? m. t or" ICC about its ccntroida‘tl axis 2: |i + [__\ . each about committal uxix.‘ oi" tee.
Using the parallel axis theorem nntl equations from Append: K lt- l; + 5' enroll t: 3
:23) (0,3537 - I; “2 m ti.llll(l4l tr ('l.()(')95l] ~t~ 0.00338 + 0.00th 3 0.0270? in." =t. tire : tl + ossmrnss Horn Fig. rl. t t. K; 2 l. 14‘) U : Nile Ki + l)- .t? 2 3.83 30 .I'\
-. 1 — v7 : %-' -:
3tt.tann lrl:.-‘,?:I,;l__llllt “‘3 “l
(1.02 70?
30.000 56.9”? + 3,4 l l" 'l‘ltcrcltn'e. l" 2: 4")? lb Comment: Outer t'ihbr strm "(3". 355')" Knit)?" illl. (slot)
ti.(l2'7'(l7‘ r N 7. r .. 50.935 psi Usingl‘iq,(alttnntliiq.{4.1l).tttcresntturttIti'rtsilcstressis: .-' ‘ ' .1. 4‘)?
‘0 ‘82) ' 02929 livr-n thtntg‘ll \liglttl) ltietm tlann the tensile shes». ti “mm: normally be zuccplnltlc, Excerpts from this work may be reproduced by instructors for distribution on a not-for~prolit basis for testing or instructional purposes only to students enrolled in courses for which the textbook
permitted by Sections 107 and 108 of the 1976 United has been adopted. Any other r eproduction or translation of this work beyond that States Copyright Act without the permission of the copyright owner is untawful Stiltolrt’l‘iC)N {51.32)
Known: An ["lJLft'ttn with given dimensions is sitrrply supported at each end and
subjected to a know load at the. center. Find: (.‘tinitpute the trinximtzm ll'ftnSVCi'St‘ shot-tr stress. {fftin‘tpztr'o the tliiS'ﬂ-‘Ci' with the
approxinmtion obtained by (ti'vitjiing the shear torn! by the area of the web. with the
we!) considered to extend for the full thin. depth. Sclrenmt‘icurttl Giwn I}; ' - 1,008, lb Assumption: The beam matcriei is homogeneous and pe-rl’eatly etastic. Analysis:
1. 'rmm exists at: the neutral bending axis: ----\:" it 2 "
L w lb [NA [Ltt (tilt) I“) Continued on next page. Excerpts from this work may be reproduced by instructors for distribution on a not-for—profit basis for testing or instructional purposes only
to students enrotled in courses for which the textbook has been adopted. Any other reproduction or translation of this work beyond that permitted by Sections 107 and 108 of the 1976 United States Copyright Act without the permission of the copyright owner is unlawfulc From the sitiovc figure. H ‘ __ tfitl‘i‘. 3125(7): . t cl
1 I ism 12 i2 Mosul m.
3. Tax-"w : ' ' ' y ) " ‘f" I‘ rt 5" (1:50.0il(0.3?5‘1x I W" "‘19 >‘-""‘d*‘-’
Er” 5.5
c 3.5; i: ts"? psi In
it. To check,
T'sz ‘1‘ '-= I
(JEANS)
is ﬁtnnrncnt: The rough check is lit}?! low in this casc. Excerpts from this work may be reproduced by instructors for distribution on a not~for—profit basis for testing or instructional purposes only
to students enrolled in courses for which the textbook has been adopted. Any other reproduction or translation of this work beyond that permitted by Sections 107 and 108 of the 1976 United States Copyright Act without the permission of the copyright owner is unlawfut. => \Z-wCa-L) 4450(9) = Fem)
=> :> €50“ch ewes : Pg ...

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