MIE442 PS 6 solns 2015

# MIE442 PS 6 solns 2015 - MACHINEDESIGN An...

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MACHINE DESIGN - An Integrated Approach PROBLEM 6.19 6-19-1 Statement lleterminc the sizc of the clevis pin shown in Figu"e P6-E needed to withsttnd an epplied repcatcd fonceof 0 to 13{XXX) lb for infinite life. Also determinc the rcquired outside radius of the clevls end to not feil in cfthcr tcarrut or bcarlng if the clevis flenges art each 2.5 in thiclc Use a sefety factor of 3. Assume .Sr, = 140 kgi for the pin and .9u, = 80 ksi for the clevis. kip:= to3.lb| Unite: Given: frsi:= 103-psi Minimum force Prnir:= Q.lbf Maximum force P4or:= l30.Hp Flangethickness t := 2.5.in Factor of safety against fatigue failure Ny:= 3 Material strengtlr Pin Sutp;= l4}ftsi Clevis 56r:= \$}.ftsi Assumptions: The partsare machined. Use 90% reliability and room temperature' Solufon: See Figure Gl9 and Mathcad file P0619. l. Calculate the altematingand mean componsnts of the forces on the clevis and link. Pmax- Pmin Ps:= D.- Im.- Strpss in Pin 2. The pin is in double shear and there is no stress-conceirtration. The alternating and meanloadsat one section on the pin are lPa ra= i.T . ^prn The cross-section area ofthe pin is The alternating and meanshear stresses and von Mises stresses are 2 Pmat! P-in 2 Pa= 65kip Pm = 65 kiP t6(d1 := 2-Apin{d) d*(4:= r15."*(a lPn t^ = Z'T t nptn ) Apil,4:= Y (l) (2) (3) (4) Pm 3. 4. cfd.:=h dldS:=,'F'""@l Pin Strenglh 5. Calculate the unmodified endurance limit. S'"0:= 0.5-56O S'"p= Tokti 6. Calculate the endurance limit modification factorr for a nonrotating rormd pin rr.b,xlll+,4. S\Qgt, Load c6a,-\$ > 0'+ (ib"S" 6 size Acs(d),[email protected] *n.^Wr* Cri"/.\$:= O.me'[ i1-o'0" P 0619.mcd n-l I 4 W4^^,

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MACHINE DESIGN - An Integrated Approach Surface A:= 2.70 Tonperature Reliability Csurf 1= "rcmp.- Crefiab:= 0.897 7. Calculate the modified enduranc€ limit. b:= -0.265 (machined) csurf = o'729 (R:eOw FIGURE 6-19 &19-2 ^(Y)' I Se+ -- 3L ot{' F:l Tearout lenglh (6) Nf= Sep(O'sutp dfidySu1o+ dn(O.Seld) Clevis Tearout (Sec Figure Gl9) 10. Let the outside radius of the clevis be R. Then the teamut area is I l. The altematingand mean shear sEesses and von Mises Srp{rl) := C toat C su"(\$.
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