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A cylindrical steel pressure vessel of 7.5m diameter and 40mm wall thickness is to operate at a working pressure of 5.1 MN/m^2. The design assumes that failure will take place fast fracture from crack which has extended gradually along the length of the vessel by fatigue. To prevent fast fracture total number of loading cycles from zero to full load and back to zero again must not exceed 3000. The fracture toughness of steel is 200MNvm. The growth of the crack by fatigue may be represented by the equationda/dN=A?(?K)?^4 Where A=2.44×10^(-13) ?(MN/m^2)?^(-4) m^(-1)Find the maximum pressure to which the vessel must be tested before use to guarantee against failure under 3000 load cycles.
A
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