Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 7.10, Problem 23AAP
Determine the critical crack length for a through crack in a thick plate of 7150-T651 aluminum alloy that is in uniaxial tension. For this alloy
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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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- Determine the critical crack length (mm) for a crack in a thick 2024-T6 alloy plate that has a fracture strength of KIC = 24.2 MPa (in) ^ 1/2 and is under a stress of 400 MPa.arrow_forward(a) An AISI 4340 steel plate has a width W of 30 cm and has a central crack 2a of 3 mm. The plate is under a uniform stress σ. This steel has a KIc value of 50 MPa m1/2. Find the maximum stress for this crack length. (b) If the operating stress is 1,500 MPa, compute the maximum crack size that the steel may have without failurearrow_forwardA specimen of a steel alloy with a plane strain fracture toughness of 22.1 MPavm. The largest surface crack is 0.6 mm long? Assume that the parameter Y has a value of 0.5. What is the critical stress in MPa. Write your answer with 2 decimal places. Answer: 0 dºvo vo (0) 00 00, GMarrow_forward
- 3- Using the equation Kic= of Vna, plot the fracture stress (MPa) for aluminium alloy 7075- T651 versus surface crack size a (mm) for a values from 0.2 mm to 2.0 mm. What is the minimum size surface crack that will cause catastrophic failure? KỊc=24.2 Mpavmarrow_forwardProblem 4: In the Figure shown, the Q8 element has equally-spaced nodes. The nodes 1, 4, 6 of the Q8 element are collapsed into one node; and nodes 7 and 2 are moved towards the collapsed node at a distance equal to one fourth the length of the element sides 1-8 and 1-3 to form an F6 element, as shown below. model fracture mechanics problem with the crack tip placed at the collapsed node. The F6 element is used to 1) Derive x and y in terms of g and n for the Q8 element where & and n are coordinates of the master element. 2) Modify and derive x and y in terms of g and n for the F6 element. 3) Determine the variation of ɛxx and ɛyy along r. Check for singularity at the collapsed node. y y 7 (2,2) (0,2) 8 6 7 O 5 1,4,6 r 2 1 3 3 (0,0) (2,0) F6 Q8arrow_forwardA tensile test specimen of 1045 hot-rolled steel having a diameter of 0.505 in. and a gage length of 2.00 in. was tested to fracture. Stress and strain data obtained during the test are shown. Determine the modulus of elasticity. Stress (ksi) 240 200 160- 120- 80 40- 0+ 0 0 Upper scale O 79100 ksi E O 94000 ksi O 86700 ksi O 63200 ksi O 51900 ksi Lower scale. 0.025 0.050 0.075 0.100 0.125 0.150 0.175 0.002 0.004 0.006 0.008 0.010 0.012 0.014 Strain (in./in.)arrow_forward
- A component made of Aluminium 6061-T651 has an edge crack with length equal to 15 mm, as shown The yield stress of the material is oy = 280 MPa and its fracture toughness (KIC) ranges from 40 MN/m³/2 to 60 MN/m³/2. Select a value for Kic and evaluate the maximum load this component can withstand. 15 mm P P↓ 100 mm 30 mmarrow_forwardConsider a crack in a plate with length 2a, where a = 7 mm. The stress perpendicular to the crack is 169 MPa. What is the mode I stress intensity factor in MPa √/m?arrow_forwardIII-A component is subjected to a cyclic loading at the frequency of once every 5 minutes for 5 years. The cycle is between 220 MPa in tension and 50 MPa in compression. The fracture toughness of the material is 80 MPa√m, Y = 1.12, C = 1.62 x 10-12 (MPa and m) and n = 3.2, and we know that it has initial cracks of length 0.1 mm. At the end of the 5 years, because of the failure of other components, the stresses become 10 times larger. Is the component able to hold the new cyclic loading? If so, for how long? If not, explain.arrow_forward
- A structural beam is built from steel with a yield strength of 345 MPa. The structure has a minimum service temperature of 5 oC, where the fracture toughness of the steel KIC = 60 MPam. What is the minimum surface crack lengths that must be detected by quality control to ensure that the full yield strength of the steel is available in the beam? Assume geometric parameter Y = 1 and plain strain conditions. Answer in millimeters.arrow_forwardAn aluminium plate containing an edge crack 29.8 mm long is stressed to 30 MPa. If the crack geometry parameter is 1.2 the stress intensity factor around the crack tip is (in MPa/m): 12.03 9.03 11.03 O 10.03arrow_forwardThe graphical representation of fatigue strength on the Y axis to the number of stress cycles on the X axis is called as Gerber Line O S-N Curve O Soderberg Line O Goodman Linearrow_forward
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