8.3-6 - PI'IJIJIEI'n 5.3-5 A circular cylindrical steel...

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Unformatted text preview: PI'IJIJIEI'n 5.3-5 A circular cylindrical steel tank {see figure) contains Pressure relief a volatile fuel under sure. A. strain e at 'nt A records the Fm 353 Pm Cylindrical tank "I“ longitudinal strain in the tan}: and transmits this information to a control room. The ultimate shear stress in the wall of the tank is 32 MPa and a factor of safety of 2 is required. At what value of the strain should the operators take action to reduce the pressure in the tank? (Data for the steel are as follows: modulus of elasticity E = 2115 GPa and Poisson’s ratio 1" = 5.30.} Sfllllllflll 5.3-5 Cylindricaltanh rm = 32 MPa E = 205 GPa v= 0.3a Strain gage n=2{factorofsafety) Tm=—=41MPa Find maxi mum allowable strain reading at the gage. Fr Fr U1: T (F2 = a From Eq. {3—15}: "1 (:1 pr 2km Tm=?=a Frau: .I" I72 pr {_ _3.. From Eq.{B-lla}: ez=fitl —21r} _ E _ = E _ 1 (Balm — 2a: (1 is} E (1 2v} 41 MPa _5 Emu=—(l—fl.fifl}=3l):<lfl I— 255 GPa ...
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