Please calculate each material individually Steel 4340 Maraging SteelA1 7075 MaterialSteel 4340Maraging steelAl 7075-T61Yield strengthGys (N/mm²)14701730500WFigure 3.1.Table 3.1.Ultimate tensilestrength outs (N/mm²)18201850560Plane strain fracturetoughness Kic (N/mm³/2)150029001040 Figure 3.1 shows a plate with an edge crack a that is subjected to a tensile load6. The plate thickness is such that a plane strain condition is present. Given: W= 1000 mm, stress intensity factor K₁ = Yo√na where Y = 1.12. Answer thefollowing questions for the three materials given in Table 3.1:(a) Does any fracture occur at a stress level o = 2/3 oys and a crack length a =1mm? why?(b) What is the critical defect size at a stress level o = 2/3 Oys(c) What is the maximum stress for a crack length a = 1mm without permanentconsequences?

To check : The fracture occur at a stress level σ=23σsys Given : The crack lenght is a=1 mm For…

Figure 3.1 shows a plate with an edge crack a that is subjected to a tensile load o. The plate thickness is such that a plane strain condition is present. Given: W = 1000 mm, stress intensity factor K₁ = Yo√а where Y = 1.12. Answer the following questions for the three materials given in Table 3.1: (a) Does any fracture occur at a stress level o = 2/3 oys and a crack length a = 1mm? why? (b) What is the critical defect size at a stress level o = 2/3 oys (c) What is the maximum stress for a crack length a = 1mm without permanent consequences?

Figure 3.1 shows a plate with an edge crack a that is subjected to a tensile load o. The plate thickness is such that a plane strain condition is present. Given: W = 1000 mm, stress intensity factor K₁ = Yo√а where Y = 1.12. Answer the following questions for the three materials given in Table 3.1: (a) Does any fracture occur at a stress level o = 2/3 oys and a crack length a = 1mm? why? (b) What is the critical defect size at a stress level o = 2/3 oys (c) What is the maximum stress for a crack length a = 1mm without permanent consequences?

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.2.8P: A spherical steel pressure vessel (diameter 500 mm, thickness 10 mm) is coated with brittle lacquer...

See similar textbooks

Similar questions

A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?
A spherical steel pressure vessel (diameter 500 mm, thickness 10 mm) is coated with brittle lacquer that cracks when the strain reaches 150 X 10~ (see figure). (a) What internal pressure p will cause the lacquer to develop cracks? (Assume E = 205 GPa and v = 0.30.) (b) If the strain is measured at 125 x 10-6, what is the internal pressure at that point?
Use the engineering stress strain diagram provided below to answer parts (A) to (H) below (the stress-strain diagram bas already been drawn for you): stress strain diagram 400 350 0 300 0 250 0 200 0 150.0 100.0 50.0 O 05 0 1 0.15 strain A. Determine the tensile strength of this alloy. B. show the elastic, plastic and total strain on the diagram stress (Mpa)
Sketch a representative stress-strain digrama for a ductile material showing the following on it (label the axis and provid units). 1- YIELD STRENGTH. 2- TENSILE STRENGTH. 3- FRACTURE POINT. 4- HARDENING PART. 5- SOFTENING PART. 6- A METHOD TO CALCULATE THE STIFFNESS. 7- A METHOD TO CALCULATE THE DUCTILITY.
Example: Convert the change in length data in Table 3-2 to engineering stress and strain and plot a stress-strain curve Homework- help Table 3-2 The results of a tensile test of a 0.505 in. diameter aluminum alloy test bar, initial length (1o) = 2 in. Calculated LTO Load (Ib) Change in Length (in.) Stress (psi) Strain (in./in.) 0.000 1000 0.001 0.0005 4,993 14,978 24,963 34,948 37,445 39,442 39,941 39,691 37,944 3000 0.003 0.0015 5000 0.005 0.0025 7000 0.007 0.0035 7500 0.030 0.0150 7900 0.080 0.0400 8000 (maximum load) 0.120 0.0600 7950 0.160 0.0800 7600 (fracture) 0.205 0.1025
2) Use the engineering stress strain diagram provided below to answer parts (A) to (H) below (the stress-strain diagram has already been drawn for you): stress strain diagram 400 350 0 300 0 250 0 200 0 150.0 100.0 50.0 00 0 05 01 0. 15 strain A. Determine the tensile strength of this alloy. B. show the clastic, plastic and total strain on the diagram stress (Mpa)
Problem F2 stress (ksi) 130 120 110 100 90 80 70 60 50 40 30 20 10 0 0.000 0.025 0.050 0.075 0.100 0.125 0.150 0.175 strain (in/in) Above you will find the experimental stress-strain diagram of 1045 steel. Calculate the permanent set if a cylindrical specimen with a diameter of 2 in is loaded to the ultimate stress and then unloaded. Provide your answer in units of in/in with 3 significant figures after the decimal. The elastic modulus of 1045 steel is 29,000 ksi.
Determine the tensile yield strength (0.2% offset) and the maximum strength of a metal alloy having the following tensile stress-strain diagram. 600 500 400 500 300 400 300E 200 3200 100 100E 0.000 0.002 0.004 0.006 Strain ol 0.00 0.16 0.20 0.08 Strain 0.04 0.12 Select one: O The tensile yield strength Sy = 290 Mpa and the maximum strength Smax = 500 Mpa. O The tensile yield strength Sy = 170 Mpa and the maximum strength Smax = 400 Mca. G The tensile yield strength Sy = 200 Mpa and the maximum strength Smax = 500 Moa. O Tne tensile yield strength Sy = 390 Mpa and the maximum strength Smax= 500 Mpa. The tensile yed strength Sy = 150 Mpa and the maximum strength Smax = 250 Mpa. Stress (MPa) Stress (MPa)
2. Ten point load tests are carried out on cylindrical specimens of a sedimentary rock with 30 mm diameter, as shown in the figure. 50 mm The failure loads of these tests are equal to: 3.2, 4.1, 3, 3.8, 2.9, 4.2, 3.5, 3.6, 3.5 and 4 kiloNewtons. Determine Iso) of this rock. Predict the uniaxial compressive strength of this rock.
Example A cylindrical specimen of aluminum having a diameter of 0.505 in. (12.8 mm) and a gauge length of 2.000 in. (50.800 mm) is pulled in tension. Use the load- elongation characteristics tabulated below to complete parts (a) through (). Load Length Ib in. (a) Plot the data as engineering stress 50.800 2.000 7,330 1,650 50.851 2.002 versus engineering strain. 15,100 3,400 50.902 2.004 (b) Compute the modulus of elasticity. 23,100 5,200 50.952 2.006 30,400 6,850 51.003 2.008 (c) Determine the yield strength at a strain 34,400 7,750 51.054 2.010 offset of 0.002. 38,400 8,650 51.308 2.020 41,300 9.300 51.816 2.040 (d) Determine the tensile strength of this 44,800 10,100 52.832 2.080 46,200 10,400 53.848 2.120 alloy. 47,300 10,650 54.864 2.160 (e) What is the approximate ductility, in 47,500 10,700 55.880 2.200 46,100 10,400 percent elongation? 56.896 2.240 44,800 10,100 57.658 2.270 ) Compute the modulus of resilience. WILEY Chapter 8- 51 42,600 9,600 58.420 2.300 36,400 8,200 59.182…
4. A cylindrical metal wire 2m long is loaded in tension, causing it to extend 15mm. Calculate the axial strain and represent you answer in terms of microstrain and % elongation. ● ● Draw a free body diagram (geometry & forces) Identify stress plane Calculate microstrain and % elongation and write it (with appropriate units) in the outlined box b) Based on your calculation, is this behavior typical of a ductile or brittle material? Check one box.
Consider a cylindrical specimen of a steel alloy with 8.5 mm diameter and 80 mm long that is pulled in tension. Estimate these mechanical properties using the figure: Modulus of Elasticity in MPa and psi Modulus of Resilience in MPa and psi