The figure below shows the stress-strain behavior of a mild steel (the insert shows part of the same plot, but with different scale). This steel is used to make a rod that is 6 mm in diameter and 400 mm long. The rod is loaded in tension until an elongation of 1.2 mm is reached. A. Estimate the Yield Stress for the Steel. B. Estimate the Ultimate Tensile Stress for the Steel. C. Estimate the Elastic Modulus for the Steel. D. Estimate the %Elongation for the Steel. E. Estimate the Force acting on the rod necessary to achieve an elongation of 1.2mm. F. After an elongation of 1.2mm the load on the rod is removed. Estimate the length of the rod after the load is released. 600 500 400 500 400 300 300 200 200 100 100 0.000 0.002 0.004 0.006 Strain 0.00 0.04 0.08 0.12 0.16 0.20 Strain Stress (MPa) Stress (MPa)

The figure below shows the stress-strain behavior of a mild steel (the insert shows part of the same plot, but with different scale). This steel is used to make a rod that is 6 mm in diameter and 400 mm long. The rod is loaded in tension until an elongation of 1.2 mm is reached. A. Estimate the Yield Stress for the Steel. B. Estimate the Ultimate Tensile Stress for the Steel. C. Estimate the Elastic Modulus for the Steel. D. Estimate the %Elongation for the Steel. E. Estimate the Force acting on the rod necessary to achieve an elongation of 1.2mm. F. After an elongation of 1.2mm the load on the rod is removed. Estimate the length of the rod after the load is released. 600 500 400 500 400 300 300 200 200 100 100 0.000 0.002 0.004 0.006 Strain 0.00 0.04 0.08 0.12 0.16 0.20 Strain Stress (MPa) Stress (MPa)

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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The figure below shows the stress-strain behavior of a mild steel (the insert shows part of the same plot, but with different scale). This steel is used to make a rod that is 6 mm in diameter and 400 mm long. The rod is loaded in tension until an elongation of 1.2 mm is reached. A. Estimate the Yield Stress for the Steel. B. Estimate the Ultimate Tensile Stress for the Steel. C. Estimate the Elastic Modulus for the Steel. D. Estimate the %Elongation for the Steel. E. Estimate the Force acting on the rod necessary to achieve an elongation of 1.2mm. F. After an elongation of 1.2mm the load on the rod is removed. Estimate the length of the rod after the load is released. 600 500 400 500 400 300 300 200 200 100 100 0.000 0.002 0.004 0.006 Strain 0.00 0.04 0.08 0.12 0.16 0.20 Strain Stress (MPa) Stress (MPa)
a)Draw the stress-strain curve of a ductile material such as that of a ductile steel and discuss the various regions of the curve. Explain the difference between a ductile and brittle material and the concept of ductility and its measurement. b)A machine part 10 mm thick, having the dimensions shown in the figure, is to be subjected to cyclic loading. If the maximum stress is limited to 60 MPa, determine the allowable force P. Approximate the stress concentration factors form the graph given. Where might a potential fracture occur?
The stress-strain curve for mild steel is shown in figure given below. Choose the correct option referring to both figure and table. T. R. Point on the graph Description of the point 1. Upper yield point 2. Ultimate tensile strength Q. 3. Proportionality limit 4. Elastic limit 5. Lower yield point 6. Failure PORSTU
The proof stress of a material under tensile loading can be considered as can be considered as equivalent to the ultimate tensile strength for aluminium alloys being only applied to engineering steels during a tensile test the intercept on the stress stain curve for a given strain where a line draw is parallel to the elastic response line. the stress at yield for materials have no defined yield stress
A stress-strain diagram for a tension test of an alloy steel sample is shown in the diagram below. The initial sample diameter is 0.502”, the diameter of the fractured sample is 0.412”, the original gage length is 2.00” and the final length after fracture is 2.78”. Determine/ calculate the following: (a) The stress at the proportional limit. (b) The modulus of elasticity (E). (c) The yield stress using the 0.2% offset method. (d) Theultimatetensilestrength. (e) The rupture stress. (f) The percent reduction in area. (g) The percent elongation. (h) Is the material considered ductile or brittle?
In the attached picture there is a sketch of a socket wrench. Assume the wrench is held at a fixed point “A”. The yield stress of the material is known to be 500 MPa. Answer the questions below Describe the stresses at point “A” and their causes and calculate the stresses. Determine the factor of safety against yield assuming the Tresca yield criteria. Determine the factor of safety against yield assuming the von Mises yield criteria using both principal stresses and “Cartesian” stresses. Do your values match or not, and is this expected? Explain. Do the calculated values make sense with the respect to the Tresca value? Explain, why or why not?
Stress strain behavior of a cast iron with a diameter of 15.8mm and gauge length of 60.80mm is shown in the graphs. Find the ductility in percent elongation
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
1. A part made of Aluminum 6061-T6 has a yield strength = 400 MPa. For each stress state below, draw all 3 Mohr's circles, find the principal stresses, and calculate the safety factor against yield using both the distortion-energy (von Mises) and maximum shear stress (Tresca) criterions. (If relevant) A clearly labeled diagram (or diagrams) clearly pertaining to your analysis with a coordinate system and relevant labels. Final answer with appropriate units and significant figures. You can use the fprintf() command in MATLAB to format numerical results A 2-3 sentence reflection on your answer. Does it make sense? Why or why not? What are some implications?
4. The maximum stress a human tendon can withstand is estimated to be 1200 MPa. If you were to test it for rupture what load cell you should use (25ON or 5kN) what problems may occur if you select an incorrect load cell. 5. The figure below is a J-shaped (or concave upward) stress-strain curve. What does a J-shaped stress stain curve indicate about a material's response to stress and tendency to yield? Name two materials that have J-shaped stress strain curves.
. From the tensile stress-strain behaviour for a casted iron as shown in the following curve. Please answer the following questions (1) Estimate the modulus of elasticity, (2) Calculate the change in length of a specimen with original length of 100mm that is subjected to a tensile stress of 300MPa. (Hint: Using the Hooke's law to get the strain.) 600 500 400 - 300 - 200 - 100 - 2 4 6. 8 10 12 14 16 Strain Strength (MPa)
Given: Stress strain curve of 10 mm diameter and 1 m long ductile stainless-steel rod. 900 800 700 600 500 Mild 400 Stainless 300 200 - 100 0.1 0.2 0.3 0.4 Strain 0.5 0.6 0.7 Draw stress-strain curve for compression here 1. Label all points of significance on the stress strain curve 2. Draw the stress-strain curve for the rod in compression and label all points of significance. 3. What is the Young's modulus in tension? Assume .001 strain at 500 MPa 4. What is its Youngʻs modulus in compression? 5. What is the tensile yield strength of this rod using the 0.2% offset criteria? 6. What is the compressive yield strength of the rod? 7. What is force required to yield the rod?. Show calculation: 8. What is the UTS of this rod?. 9. What is the force required to break the rod? Show calculation: 10. What will be UCS of the rod? Stress (MPa)