small crack, 4mm deep, is found on theedge of a large, thick plate structure.The plate is continuously subjected toa uniform cyclic tensile stress (in thedirection perpendicular to the crackplane) which varies from 0 MPa to100 MPa and back to 0 MPa every 40seconds. If the next inspection is totake place in 30 days, would it be safeto delay the replacement or repair ofthe plate until that time? The stressintensity factor, KI, for this type ofcrack is related to the nominal stress,G, and the crack length, a, via therelationship is K, = 1.12a Va %3DFor the plate material, the yield stressis 800 MPa, the fracture toughnessis 50 MN/m2 and threshold stressintensity factor range is 6 MN/m3/2,The fatigue-crack growth rate per cyclefor the material, da/dN, can be definedby: 3/2 da / dN = 2.8 x 10-12 (AK,) ^PY(m/cycle) Where AK1 has unit MN/me 8:34 /

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Engineering

Mechanical Engineering

seconds. If the next inspection is to take place in 30 days, would it be safe to delay the replacement or repair of TI

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

small crack, 4mm deep, is found on the
edge of a large, thick plate structure.
The plate is continuously subjected to
a uniform cyclic tensile stress (in the
direction perpendicular to the crack
plane) which varies from 0 MPa to
100 MPa and back to 0 MPa every 40
seconds. If the next inspection is to
take place in 30 days, would it be safe
to delay the replacement or repair of
the plate until that time? The stress
intensity factor, KI, for this type of
crack is related to the nominal stress,
G, and the crack length, a, via the
relationship is K, = 1.12a Va %3D
For the plate material, the yield stress
is 800 MPa, the fracture toughness
is 50 MN/m2 and threshold stress
intensity factor range is 6 MN/m3/2,
The fatigue-crack growth rate per cycle
for the material, da/dN, can be defined
by: 3/2 da / dN = 2.8 x 10-12 (AK,) ^PY
(m/cycle) Where AK1 has unit MN/m
e 8:34 /

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