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Table 1 Test results Sample 1 2 3 W (mm) B (mm) a (mm) Load at failure (kN) 20 5 9.8 2.3 20 10 9.4 4.4 20 2 2 2 20 20 10.1 8.6 For the geometry used, the stress at failure is calculated from 225P B Pa where P is in newtons and B is in metres. (Note that this is an empirical formula so the units do not balance.) i. Use the 'Beam in pure bending - through-thickness edge crack' geometry in the K- calculator to calculate the value of K at failure for the three samples. (10 marks) ii. In order for a valid fracture toughness value to be obtained, both the sample thickness B and the final crack length a should satisfy B, a 2.5 KQ σyield 2 where KQ is the estimated toughness value of K at failure, and σ yield is the yield strength of the material. In this case σ yield = 620 MPa. Calculate whether the samples are sufficiently thick (i.e. whether B is large enough) to meet this criterion. Are the final crack lengths acceptable? (10 marks) Beam in pure bending - through-thickness edge crack Calculate: KI Material properties: O Critical crack length O Critical stress ○ KIC KIC: 31.33 MPa Vm Geometry dimensions: Width (2W): 40.000 mm Crack length (2a): 0.100 mm Y: 1.00 Loading: Stress: 2500.00 MPa KI: 31.33 MPa Vm Reserve factor on the load: 1.00

Table 1 Test results Sample 1 2 3 W (mm) B (mm) a (mm) Load at failure (kN) 20 5 9.8 2.3 20 10 9.4 4.4 20 2 2 2 20 20 10.1 8.6 For the geometry used, the stress at failure is calculated from 225P B Pa where P is in newtons and B is in metres. (Note that this is an empirical formula so the units do not balance.) i. Use the 'Beam in pure bending - through-thickness edge crack' geometry in the K- calculator to calculate the value of K at failure for the three samples. (10 marks) ii. In order for a valid fracture toughness value to be obtained, both the sample thickness B and the final crack length a should satisfy B, a 2.5 KQ σyield 2 where KQ is the estimated toughness value of K at failure, and σ yield is the yield strength of the material. In this case σ yield = 620 MPa. Calculate whether the samples are sufficiently thick (i.e. whether B is large enough) to meet this criterion. Are the final crack lengths acceptable? (10 marks) Beam in pure bending - through-thickness edge crack Calculate: KI Material properties: O Critical crack length O Critical stress ○ KIC KIC: 31.33 MPa Vm Geometry dimensions: Width (2W): 40.000 mm Crack length (2a): 0.100 mm Y: 1.00 Loading: Stress: 2500.00 MPa KI: 31.33 MPa Vm Reserve factor on the load: 1.00

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Please can you help me answer the question added in the images below. I have also attatched an image of the k calculator i have to use. 

Table 1 Test results Sample 1 2 3 W (mm) B (mm) a (mm) Load at failure (kN) 20 5 9.8 2.3 20 10 9.4 4.4 20 2 2 2 20 20 10.1 8.6 For the geometry used, the stress at failure is calculated from 225P B Pa where P is in newtons and B is in metres. (Note that this is an empirical formula so the units do not balance.) i. Use the 'Beam in pure bending - through-thickness edge crack' geometry in the K- calculator to calculate the value of K at failure for the three samples. (10 marks) ii. In order for a valid fracture toughness value to be obtained, both the sample thickness B and the final crack length a should satisfy B, a 2.5 KQ σyield 2 where KQ is the estimated toughness value of K at failure, and σ yield is the yield strength of the material. In this case σ yield = 620 MPa. Calculate whether the samples are sufficiently thick (i.e. whether B is large enough) to meet this criterion. Are the final crack lengths acceptable? (10 marks)
Transcribed Image Text:Table 1 Test results Sample 1 2 3 W (mm) B (mm) a (mm) Load at failure (kN) 20 5 9.8 2.3 20 10 9.4 4.4 20 2 2 2 20 20 10.1 8.6 For the geometry used, the stress at failure is calculated from 225P B Pa where P is in newtons and B is in metres. (Note that this is an empirical formula so the units do not balance.) i. Use the 'Beam in pure bending - through-thickness edge crack' geometry in the K- calculator to calculate the value of K at failure for the three samples. (10 marks) ii. In order for a valid fracture toughness value to be obtained, both the sample thickness B and the final crack length a should satisfy B, a 2.5 KQ σyield 2 where KQ is the estimated toughness value of K at failure, and σ yield is the yield strength of the material. In this case σ yield = 620 MPa. Calculate whether the samples are sufficiently thick (i.e. whether B is large enough) to meet this criterion. Are the final crack lengths acceptable? (10 marks)
Beam in pure bending - through-thickness edge crack Calculate: KI Material properties: O Critical crack length O Critical stress ○ KIC KIC: 31.33 MPa Vm Geometry dimensions: Width (2W): 40.000 mm Crack length (2a): 0.100 mm Y: 1.00 Loading: Stress: 2500.00 MPa KI: 31.33 MPa Vm Reserve factor on the load: 1.00
Transcribed Image Text:Beam in pure bending - through-thickness edge crack Calculate: KI Material properties: O Critical crack length O Critical stress ○ KIC KIC: 31.33 MPa Vm Geometry dimensions: Width (2W): 40.000 mm Crack length (2a): 0.100 mm Y: 1.00 Loading: Stress: 2500.00 MPa KI: 31.33 MPa Vm Reserve factor on the load: 1.00
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