The support in Figure 14.21a is to be constructed from a 4340 steel plate tempered at 800◦F. The yield strength of the steel is 228 ksi, and; its value of KIc is 51 ksi√ (in.). The width of the support, w, is 4 in.; the length, L, is 36 in.; and the thickness, t, is 0.25 in. Figure 14.21b gives f(a/w) in the equation σ = KIc/[f(a/w) √ (πa)]. A. If the crack length, a, is small enough, the support will yield before it fractures? What is the size of the largest crack for which this is true (i.e., what is the largest value of a for which general yielding will precede fracture)? Assume that any fracture would be in mode I (plane strain). Discuss critically the assumption of mode I. B. If it is guaranteed that there are no cracks longer than a length equal to 80% of that in Figure 14.21a, does this assure that failure will occur by yielding, rather than fracture? Explain briefly.
The support in Figure 14.21a is to be constructed from a 4340 steel plate tempered at 800◦F. The yield strength of the steel is 228 ksi, and; its value of KIc is 51 ksi√ (in.). The width of the support, w, is 4 in.; the length, L, is 36 in.; and the thickness, t, is 0.25 in. Figure 14.21b gives f(a/w) in the equation σ = KIc/[f(a/w) √ (πa)]. A. If the crack length, a, is small enough, the support will yield before it fractures? What is the size of the largest crack for which this is true (i.e., what is the largest value of a for which general yielding will precede fracture)? Assume that any fracture would be in mode I (plane strain). Discuss critically the assumption of mode I. B. If it is guaranteed that there are no cracks longer than a length equal to 80% of that in Figure 14.21a, does this assure that failure will occur by yielding, rather than fracture? Explain briefly.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The support in Figure 14.21a is to be constructed from a 4340 steel plate tempered at 800◦F. The yield strength of the steel is 228 ksi, and; its value of KIc is 51 ksi√ (in.). The width of the support, w, is 4 in.; the length, L, is 36 in.; and the thickness, t, is 0.25 in. Figure 14.21b gives f(a/w) in the equation σ = KIc/[f(a/w) √ (πa)]. A. If the crack length, a, is small enough, the support will yield before it fractures? What is the size of the largest crack for which this is true (i.e., what is the largest value of a for which general yielding will precede fracture)? Assume that any fracture would be in mode I (plane strain). Discuss critically the assumption of mode I. B. If it is guaranteed that there are no cracks longer than a length equal to 80% of that in Figure 14.21a, does this assure that failure will occur by yielding, rather than fracture? Explain briefly.
![4. The support in Figure 14.21a is to be constructed from a 4340 steel plate tempered
at 800°F. The yield strength of the steel is 228 ksi, and; its value of Kjc is 51 ksiv(in.).
The width of the support, w, is 4 in.; the length, L, is 36 in.; and the thickness, t, is
0.25 in. Figure 14.21b gives f(a/w) in the equation
Kic/[fa/w)V(ra)].
O =
A. If the crack length, a, is small enough, the support will yield before it frac-
tures? What is the size of the largest crack for which this is true (i.e., what
is the largest value of a for which general yielding will precede fracture)?
Assume that any fracture would be in mode I (plane strain). Discuss criti-
cally the assumption of mode I.
B. If it is guaranteed that there are no cracks longer than a length equal to 80%
of that in Figure 14.21a, does this assure that failure will occur by yielding,
rather than fracture? Explain briefly.
2.0
1.5
W
1.0
0.1
0.2
alw
0.3
0.4
a
Figure 14.21. (a) Support shape. (b) Variation of f with a/w.
f(a/w)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22a052df-8f36-43b5-a352-cfd5a33e78ef%2F5179b663-f93c-42dd-9113-a04fa6dad37d%2F8t8q9xs_processed.png&w=3840&q=75)
Transcribed Image Text:4. The support in Figure 14.21a is to be constructed from a 4340 steel plate tempered
at 800°F. The yield strength of the steel is 228 ksi, and; its value of Kjc is 51 ksiv(in.).
The width of the support, w, is 4 in.; the length, L, is 36 in.; and the thickness, t, is
0.25 in. Figure 14.21b gives f(a/w) in the equation
Kic/[fa/w)V(ra)].
O =
A. If the crack length, a, is small enough, the support will yield before it frac-
tures? What is the size of the largest crack for which this is true (i.e., what
is the largest value of a for which general yielding will precede fracture)?
Assume that any fracture would be in mode I (plane strain). Discuss criti-
cally the assumption of mode I.
B. If it is guaranteed that there are no cracks longer than a length equal to 80%
of that in Figure 14.21a, does this assure that failure will occur by yielding,
rather than fracture? Explain briefly.
2.0
1.5
W
1.0
0.1
0.2
alw
0.3
0.4
a
Figure 14.21. (a) Support shape. (b) Variation of f with a/w.
f(a/w)
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