Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 7.10, Problem 34AAP
To determine
The critical crack length.
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ASAP
2. Another cylindrical component is madeof Enfennering ceramic Al203
but with different
dimensions. Here, l=30 cm and the diameter is 4 cm. Assume the same Weibull modulus of 9.
Calculate the level of the tensile strength for the following probability of failures:
a. Pr (V) = 0.1
b. Pr (Vo) = 0.01
c. What is the survival probability and the failure probability of this component if a stress of
200 MPa is applied?
The table below shows the deformation data that resulted from applying a pure tensile load to a
brass alloy rod with an initial length of 30 mm and a diameter of 10 mm. This rod was subjected
to necking and beyond necking deformation. The data at fracture is shown in the last row.
Applied Load (N) Length (mm) Diameter (mm)
75,100
33.8
68, 250
34.9
50,200
35.7
6.7
Solve for the TRUE STRESS/ES and TRUE STRAINS.
8.3
7.8
Chapter 7 Solutions
Foundations of Materials Science and Engineering
Ch. 7.10 - What are the characteristics of the surface of a...Ch. 7.10 - Prob. 2KCPCh. 7.10 - Prob. 3KCPCh. 7.10 - Prob. 4KCPCh. 7.10 - Prob. 5KCPCh. 7.10 - Prob. 6KCPCh. 7.10 - Prob. 7KCPCh. 7.10 - Prob. 8KCPCh. 7.10 - Prob. 9KCPCh. 7.10 - How does the carbon content of a plain-carbon...
Ch. 7.10 - Describe a metal fatigue failure.Ch. 7.10 - What two distinct types of surface areas are...Ch. 7.10 - Prob. 13KCPCh. 7.10 - Prob. 14KCPCh. 7.10 - Prob. 15KCPCh. 7.10 - Describe the four basic structural changes that...Ch. 7.10 - Describe the four major factors that affect the...Ch. 7.10 - Prob. 18KCPCh. 7.10 - Prob. 19KCPCh. 7.10 - Prob. 20KCPCh. 7.10 - Prob. 21KCPCh. 7.10 - Determine the critical crack length for a through...Ch. 7.10 - Determine the critical crack length for a through...Ch. 7.10 - The critical stress intensity (KIC) for a material...Ch. 7.10 - What is the largest size (in mm) of internal...Ch. 7.10 - A Ti-6Al-4V alloy plate contains an internal...Ch. 7.10 - Using the equation KIC=fa, plot the fracture...Ch. 7.10 - (a) Determine the critical crack length (mm) for a...Ch. 7.10 - A fatigue test is made with a maximum stress of 25...Ch. 7.10 - A fatigue test is made with a mean stress of...Ch. 7.10 - A large, flat plate is subjected to...Ch. 7.10 - Prob. 32AAPCh. 7.10 - Refer to Problem 7.31: Compute the final critical...Ch. 7.10 - Prob. 34AAPCh. 7.10 - Prob. 35AAPCh. 7.10 - Equiaxed MAR-M 247 alloy (Fig. 7.31) is used to...Ch. 7.10 - Prob. 37AAPCh. 7.10 - If DS CM 247 LC alloy (middle graph of Fig. 7.31)...Ch. 7.10 - Prob. 39AAPCh. 7.10 - Prob. 40AAPCh. 7.10 - Prob. 41SEPCh. 7.10 - Prob. 42SEPCh. 7.10 - A Charpy V-notch specimen is tested by the...Ch. 7.10 - Prob. 44SEPCh. 7.10 - Prob. 45SEPCh. 7.10 - Prob. 46SEPCh. 7.10 - Prob. 47SEPCh. 7.10 - Prob. 48SEPCh. 7.10 - Prob. 49SEPCh. 7.10 - Prob. 50SEPCh. 7.10 - While driving your car, a small pebble hits your...Ch. 7.10 - Prob. 52SEPCh. 7.10 - Prob. 53SEPCh. 7.10 - Prob. 54SEPCh. 7.10 - Prob. 56SEPCh. 7.10 - Prob. 57SEPCh. 7.10 - Prob. 58SEPCh. 7.10 - Prob. 59SEPCh. 7.10 - The components in Figure P7.60 are high-strength...
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- Question 6 What is the calculated fracture toughness, K, for the perspex specimen in MPa root m? Give your answer to 2 decimal places. P = 250 N, crack length = 5.5 mm W= 13.3 mm, B = 5.45 mm Note that the span length (s) is 38mm. Take f(a/W) as 0.78arrow_forwardsmall 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 /arrow_forwardA Plexiglas model of a gear has a 1 mm crack formed in its fillet curve (where the tensile stress is maximum). The model is loaded until the crack starts to propagate. Y=1.5. How much higher a lod can a gear (made of AISI 4340 steel tempered to 425°C) carray with the same crack and the same geometry?arrow_forward
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