9.34 A thin-wall cylindrical pressure vessel made of a [130] carbon/epoxy lamina

Question

9.34 A thin-wall cylindrical pressure vessel made of a [130] carbon/epoxy laminate was cured at 180 °C (356 °F) and cooled down to 30 °C (86 ) (Fig. P9.34). Subsequently, it absorbed 0.5% mois- ture by volume and was loaded by an internal pressure p 1 MPa (145 psi). Calculate (a) the stresses in each layer due to the pressure loading only onl ical and hygrotherma loading (material (b) the stresses due to the hygrothermal loading (c) the total stresses due to the combined mechan AS4/3501-6 carbon/epoxy, Table A.4) The [+30], laminate properties are = 58.1 GPa (8.42 Msi) E,-13.8 GPa (2.00 Msi) G, = 30.3 GPa (4.39 Msi) , 1.22 r =-3.63x 109PC (-2.02x 10-PF) y = 13.50 × 10",PC (7.50 × 10°PF) B =-8.57 x 10-3 =0.108 Fig. P9.34

Explanation / Answer

1.Hoop stress due to internal pressure>

here,p=1MPa,d/h=100

So,Hoop stress=0.5*1*100=50 MPa

Longitudinal stress due to pressure MPa

2.Thermal stress=E*ALPHA*dt

Here,Ex=58.1GPa=58100MPa,dt=180-30=150

ALPHAx=-3.63*10^-6

so,thermal stress in X direction=58100*(3.63*10^-6)*150=31.63MPa

similarly,we can find thermal stress in y direction also.

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