Prove that the ultimate tensile strength [Su(eng)] of a metallic material that follows The "Power Law" can be given by the following equation:
Su = K*[(n/e)^n]; where n = work-hardening coefficient and e = exponent (=2.718)
Prove that the ultimate tensile strength [Su(eng)] of a metallic material that follows The "Power...
manifactoring processes 1) Sketch Engineering stress vs. Engineering strain curve and True stress vs. true strain curve from one uniaxial tension test for an engineering metals that shows power law strain hardening (e.g. aluminum or steel), within the same plot, and identify, from the curves, the material property parameters of: Yield strength (0.2% offset) Uniform engineering strain ultimate tensile strength (eng.) true stress and true strain at the onset of necking K and n from power-law fitting (the range of...
3. A set of tensile test data is provided. The first column is the force measurement (kN) and the second column is the change in the gage length (Al, mm). The initial diameter and gage length of the specimen was 25 mm and 50 mm, respectively Use MatLab or Excel to do the following (a) In the same figure, plot both the engineering stress (y1) and true stress (y2) versus strain(x-axis). Insert legend at the upper left corner as "Eng....
A notched circular shaft shown is subjected to fully reversed bending. D=12.7mm, d=10.16 mm, and r=0.5mm. The steel material has the following mechanical and fatigue properties: yield strength (σ0)=1000 MPa, ultimate strength (σu)=1200 MPa, the fatigue strength coefficient (σf’)=1600 MPa, the fatigue strength exponent (b)=-0.1, and the fatigue limit (σe)=400 MPa. 5. (20 pts) A notched circular shaft shown is subjected to fully reversed bending. D-12.7mm, d-10.16 mm, and r-0.5mm. The steel material has the following mechanical and fatigue properties:...
1. Three different metal alloys were tested for tensile strength. The strength of some examples of each alloy measured (in hundreds of megapascals), as follows. was Alloy Tensile strength of some examples 19.8 12.4 1 15.2 14.8 2 8.9 11.6 10.0 11.9 3 10.5 13.8 12.1 Source: the data come from Berenson and Levine (1998), Business Statistics: A First Course, p. 449, Question 10.27, but shortened.) Taking the types of alloy one-way ANOVA. The following R commands were used: as...
We were unable to transcribe this imagertant: Be precise; use sketches, formulae, and name all mathematical symbols you use. cutting force in turning is given by F-KA where A is the cross section of cut and K is the ultimate shear strength of the work material. Calculate: (a) material removal rate (MRR) and (b) the total power required by the machine for cylindrical surface turning of solid rods of 50 mm diameter with a tool feed rate of 0.05 mm/work...
CAN I HAVE A DETAILED EXPLANATION FOR ALL OF THEM ( ESPECIALLY A AND D ) PLEASE ( CLEAR HANDWRITING) Data: Young's modulus of steel: 2.0 × 1011 Pa density of steel: 7850 kg m-3 basic SI units for pressure: kg m-1s-2 Assume Hooke's law where applicable (a) A cylindrical wire of material with ultimate tensile strength (maximum tensile stress) 109 Pa, just breaks due to a tensile force of 50 N. Find the radius, in SI units, giving your...
The power density (Watts per kg) produced by a given nuclear reaction in a gas of density ρ between species a and b with mass fractions X, charge numbers Z and atomic mass numbers A varies as 1/6 1/3] where Q and So are constants for the given reaction, m is the reduced mass, and Eg is the Gamow energy: th (MKS units). (a) Show that the dependence of e at a temperature T near To can be approximated as...
Q-1. You are testing a circular beam of two metals, 1045 steel and 2014-T6 aluminum, in a rotating-cantilever beam fatigue test. If you need to choose one of these metals so that you can essentially design a part made of that metal, and subject the part to a repetitive stress-amplitude without ever failing due to fatigue, which one would you choose. (See the attached figure) Q-2. What is the fatigue strength for the 1045 steel alloy, if you expect to...
need to solve the mathematical model to prove that we can get the equations i Q1 a methematically please use only the weighted resedual and gerkins methods to prove it 1. A metal bar of length, L = 100 mm, and a constant cross-sectional area of A = 10 mm? is shown in figure Q1. The bar material has an elastic modulus, E = 200,000 N/mm2 with an applied load P at one end. The governing equation for elastostatic problems...
The true stress-true strain of several Al alloys that can be used in manufacturing a component in an aircraft is given by g = K €", where K is a constant and n the strain- hardening exponent. The manufacturing process involves sheet forming. During use, the component will be subjected to the following stress tensor: 10 20 0 20 -20 0 00-5 MPa The following information regarding available materials Alloy allowable Tallowable Cost/part Density (g/ce) (MPa tension (MPa) 3.05 0.22...