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1313_Mechanics Homework Mechanics of Materials Solution

# 1313_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: PROBLEM 11.5 11:5 The stress~strain diagram shown has been drawn ﬁem data obtained during a tensile test of an aluminum alloy. Using E = 72 GPa, (a) determine the modulus of resilience of the alloy, (b) the modulus of toughness of the alloy. SOLUTION 12%, kJ/M‘ .- (b‘ Mansions 0'? +003Ln-ess, 1‘ +o+a1 mat madam 'l'ke 5+J~esé -s+m.‘n cowe. The ewe”. e onlu‘ncle err er 5+mss—s+r~a-‘n curve is 00 MPa. '-' JOOHO‘ N/m‘ The - area Under ‘Hw cone is A = (50mlo‘)(0.i3)= QDxIO‘ N/m" maple)” o‘F +903Lhess 3 “YONG" J/M3 = ‘70 MJ/Ms 4 PROBLEM 11.6 11.6 The guess-stain diagram shown has been drawn ﬁnal data obtained during the tensile test of a specimen of structural steel. Using E = 29 X 10‘ psi, (a) determine the modulus of resilience of the steel, (11) determine the modulus of toughness of the steel. SOLUTION (a) Sr 7 E87 1 Ur = gt? = Ell-£5: r 1+(2quo‘)(o.oozlt : 58.0 in-[b/{ns -‘ (b) Mpglupus 04‘ ﬁnialmess = “5+4"? area angle.» He shees-S‘l‘rm‘n coNt N A,= (\$7 Vex—0.002) =3 HAL} kzps /'m" 1.4-3“) .in.!<.‘F Aw" Ag ﬂzg')(o.2s'-o.oal)= 3.:u Mpg/w r 3.2) wry/m A3’§(ao)to.2's'-o.ovs)= 2.33 Rips/in“ e 2.33 «'wk‘P/fh’ Modulus o-F +wJanss = UY“ AJA‘ +A3 ﬁ 20 in kip/[v.3 «I ...
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