Example 5.2 A cylindrical test sample of diameter 12.8 mm is tested in tension up to fracture andfound to have engineering fracture strength o, = 450 MPa. If the diameter of cross-sectional area atfracture is 10.7 mm, determine(a) The ductility in terms of per cent reduction in the area(b) True stress at fracture(c) True fracture strain

Answered: Image /qna-images/answer/9a5331f2-5e08-43a1-b7f6-319441bfe7fb.jpg

Answered: Example 5.2 A cylindrical test sample…

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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An aircraft component is fabricated from an aluminum alloy that has a plane strain fracture toughness of 31 MPa/m. It has been determined that fracture results at a stress of 227 MPa when the maximum (or critical) internal crack length is 2.47 mm. a) Determine the value of Yo√a for this same component and alloy at a stress level of 340 MPa when the maximum internal crack length is 1.24 mm. i MPa √//m b) Under these circumstances will the component fail? No Yes Unable to Determine 3
Q1. (i) Initial strain Please enter your supplied question data Q1. (ii) Eo B (hr¹Pa-¹) n IVICUITO Fracture 0.003 Please enter your answers here Your Q1. (i) Answers: 4.60E-34 Q1. (ii) 3.2 Q2. o (Pa) σo (Pa) 780,000,000 Q3. t (hr) Q2. A component is made from a metal that is known to be viscoelastic and behaves according to a secondary creep rate equation with constants of B and n provided as your input values. If the component is subjected to a constant force that results in the initial strain of E provided to you, determine the design stress for a secondary creep life of 1,000 hrs before attaining a limiting strain, &, of 0.01. Q3. If the same component is subjected to a constant displacement that results in the value of initial stress, o, provided to you, calculate the time for the stress to reduce to 200MPa. Young's modulus of the bolt is E = 200GPa.
A tensile test for a copper specimen has been performed and the following data are obtained. - Percentage of Elongation = 69 % - Percentage of Reduction in Area = 39 % - Final length after fracture = 35.5 mm - Final Diameter after fracture = 3.6 mm & - Ultimate stress = 396 MPa SOLUTION: iv) Initial Diameter (in mm) = v) Ultimate Load (in N) =
Example (4): A cylindrical specimen of steen having an original diameter of 12.8 mm (0.50s in.) is tensile-tesled lo fracture and found to have an engineering fracture strength. of $60 MPa (67,000 psi). If its cross-sectional diameter at fracture is 10.7 mm (0.422 inl determine: (a) The ductility in terms of parcent reduciion in area. (b) The true stress at fracture.
Problem: A tensile test specimen of stainless steel alloy having a with a diameter of 12.6 mm and a 50 mm gage length was tested to fracture. Load and deformation data obtained during the test are given: Determine: (a) the modulus of elasticity. (b) the proportional limit. Load (kN) 0.00 Change in length (mm) (c) the ultimate strength. 0.00 (d) the yield strength (0.20% offset). 0.00 25.79 0.00 (e) the fracture stress. 0.05 51.59 0.10 (f) the true fracture stress if the final diameter 66.55 73.36 80.18 87.77 0.20 of the specimen at the location of the fracture 0.30 0.45 was 8.89 mm 0.63 95.35 0.81 101.42 105.98 112.05 1.01 1,18 1.41 only solve d, e,f 118.13 123.46 128.03 131.85 133.39 134.95 135.73 1.66 1.94 2.27 2.60 2,82 3.15 3.35 3.68 136.53 136.56 3.93 135.84 4.26 135.14 4,66 133.66 4.94 130.67 5.22 5.47 128.44 124.69 5.70 120.92 5.82 117.91 5.95 fracture 116.52
A structural component in the form of a wide plate is to be made of a steel alloy that has a fracture toughness of 77 MPa.m ¹/2 and a yield stress of 1400 MPa. Inspection of the plate has identified an internal through the thickness crack of length 7.7 mm. Assume a value of Y=1. What is the maximum stress the component should be subjected to in order to not undergo rapid fracture.
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.
An annealed-steel specimen has a 0.750 in. diameter and a 12.000 in. gage length. Maximum load is reached at 60,000 lbs and fracture occurs at 30,000 Ibs. For this steel, E= 360 x 10° psi. (a) Draw a sketch of stress-strain diagram for a typical steel in tension? (b) What is the ultimate tensile strength (UTS)? (c) Why does fracture occur at a lower load than the maximum load? (d) What is the elongation when a tensile stress of 30,000 psi is applied? A 400-mm-long rod with a diameter of 4.5 mm is loaded with a 5000-N weight. If the diameter decreases to 3.5 mm, compute the final length of the rod. 3. 4. A steel rod 1.5 m long and 75 mm x 75 mm in cross-section is subjected to a tensile force of 160 kN. Determine the elongation of the rod, if modulus of elasticity for the rod material is 900 GPa. 5. A hollow cylinder 4.5 m long has an outside diameter of 80 mm and inside diameter of 60 mm. If the cylinder is carrying a load of 75 kN, find the stress in the cylinder. Also find the…
EXPLAIN THIS IMAGE https://www.researchgate.net/profile/Carlos-Cuenca-Cabrera/publication/326753159/figure/fig4/AS:659386125008898@1534221311272/Engineering-Stress-Strain-curve-for-both-Brittle-and-Ductile-material-Source.png
A steel rod specimen with a diameter of 200mm was subjected to a force 5000 N in the stress-strain experiment, if the area of the rod at fracture was 25434 mm^2, determine the percentage of the sample ductility (RA).
Determine the fracture load (in N) of a copper specimen subjected to a tensile load if the breaking stress is 555 N/mm2 and the cross-sectional area at fracture is 6 mm².

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