Q1.If the yield stress (σy) of a material is 375MPa, determine whether yield ispredicted for the stresses acting on both the elements shown below using:(a) Tresca Criterion(b) Von Mises CriterionPElement ARSElement BNote: your values for P (vertical load on Element A) should be negative (i.e.corresponding to a compressive vertical load). P (MPa)-165Element AElement BσTrescaQ (MPa)R (MPa)S (MPa)01/04a2lay(intermediate)(MPa)Yield Tresca[Y/N]σvM(intermediate)(MPa)σTrescaYieldVM[Y/N](intermediate)(MPa)Yield Tresca[Y/N]σvM(intermediate) YieldVM(MPa)[Y/N]185325800.3-0.8

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Answered: Q1. If the yield stress (σy) of a…

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.6.7P: A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The...

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A brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded in biaxial stress by normal stresses r and cry. (sec figure). A strain gage is bonded to the plate at an angle 4 = 350 If the stress o is 10,700 psi and the strain means used by the gageise = 390 X 106.whatisthcmax- imum in-plane shear stress (Tr, ),. and shear strain (>‘ ).? What is the maximum shear strain (y ) in the x-: plane? What is the maximum shear strain (y ).. in the y-r plane?
The strength-to-weight ratio of a structural material is defined as its load-carrying capacity divided by its weight. For materials in tension, use a characteristic tensile stress obtained from a stress-strain curve as a measure of strength. For instance, either the yield stress or the ultimate stress could be used, depending upon the particular application. Thus, the strength-to-weight ratio RS/Wfor a material in tension is defined as Rs/w= in which a is the characteristic stress and 7 is the weight density. Note that the ratio has units of length. Using the ultimate stress Uas the strength parameter, calculate the strength-to-weight ratio (in units of meters) for each of the following materials: aluminum alloy 606I-T6, Douglas fir (in bending}, nylon. structural steel ASTM-A57.2, and a titanium alloy. Obtain the material properties from Tables [-1 and 1-3 of Appendix I. When a range of values is given in a table, use the average value.
The rails of a railroad track are welded together at their ends (to form continuous rails and thus eliminate the clacking sound of the wheels) when the temperature is 60°F. What compressive stress ?? =6.5×10-6 /? is produced in the rails when they are heated by the sun to 120"F if the coefficient of thermal expansion a = the modulus of elasticity E = 30 × 106 psi?
In the 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 400 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?
1. A machine frame is made of steel with a yield strength of Sy = 400 MPa. When loaded in a test fixture, the stresses were found to vary linearly with load. Two points A and B on the surface of the frame were found to be most critical. With a 4-kN test load, stresses at these points were as in the sketches below: d-100 MPa --100 MPa d-200 MPa d-150 MPa Use the template on the following page to answer these questions: (i) A scaled drawing of the failure locus for steel using the Distortion Energy (DE) theory is shown on next the page. Mark the axes labels and the yield strength values on the σ-σg axes. Then, draw the failure locus for the Maximum Shear Stress (MSS) superimposed on the given - plot to scale, represent the given stress states at points A and B on the plot, and draw the load lines corresponding to the two points. (ii) From the load lines drawn in part (i), graphically estimate the factors of safety and predict which of the two points will experience initial yielding first…
A circular solid piece of rock is tested in a compression testing rig to examine its stress/strain behavior. The sample is 6 inches in diameter and 12 inches in length, with the compression load cell imposing a constant load of 10000 lbf equally at both the top and bottom of the rock sample. Assuming a measured reduction in length of 0.02 inches, find the compressive stress and strain of the rock.
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?
Given: A part is made of ductile material and subjected to principal stresses o1, 02, 03. It is statically loaded. Find: Determine the factor of safety for the part. Use the following parameters in your analysis: ơ1 40 kpsi, Sut = 90 kpsi, Suc = 20 kpsi, 02 = 5 kpsi, oz = -10 kpsi, Sy = %3D = –130 kpsi
1. The greatest tensile stress that steel of a particular sort can withstand without breaking is about 10⁹ N m². A wire of a cross-sectional area 0.01 mm² is made of this steel. What is the greatest force that it can withstand? 2. Find the minimum diameter of an alloy cable, tensile strength 75 MPa, needed to support a load of 15 KN? 3. Calculate the tensile stress in a suspension bridge supporting cable, of a diameter of 50 mm, which pulls up on the roadway with a force of 4 kN.
Can you help me with these three questinos? Thank you so much.
Please solve all part's correctly
For a number of points during a tension test on Man-Ten steel, engineering stress and strain data are given in Table. Also given are minimum diameters measured in the necked region in the latter portions of the test. The initial diameter was 6.32 mm. (a) Determine the Young’s modulus; (b) Determine the true stress and strain throughout; (c) Calculate the true plastic strain for the beyond yielding.

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