CE357 Lab 7 Direct Shear

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Question 2 In designing prosthetic sockets, the latter will need to be experimentally tested for their structural integrity. Figure 2 shows one such design of a prosthetic socket which is made of carbon fibre composite. Strain gauges are installed to record the strains at various locations of the legs during walking and the readings are recorded using a telemetry system to detemine the critical stressed area. At a particular strain gauge location indicated in Figure 2, the readings recorded by one of the 45° strain gauge rosettes are: Ea = 2500 x 10*, es = 1500 x 10°, & = -950 x 10* Using Mohr's Cicle or otherwise, detemine: (a) the principal strains and the direction of the maximum principal strain relative to the gauge "a". (b) the corresponding principal stresses and sketch the results on a properly oriented element. You may assume that the prosthetic socket is made of polypropylene whose Young's modulus of 1.0 GPa and Poisson ratio of 0.3. Figure 2

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6. State your answers to the following questions.Strain Gauge represents the deformation of a material through a change in resistance. If so, explain how temperature will affect the strain gauge in the experimental environment.①:In this experiment, the Strain Gauge measures the strain in micro units. Explain one possible error factor when applying a load by hanging a weight on the material with the strain gauge attached. (Hint: It is easy to shake by hanging the weight using a thread)①:

QUESTION The following data were obtained during a tension test of a low carbon steel specimen having a gauge length of 100 mm. At the point where the stress strain curve deviated from linearity, the load was 35KN, the gauge length was 102.5 mm and the diameter of the specimen was 1.6 mm. Before necking began, loads of 45 KN and 55 KN produced gauge lengths of 103.4 mm and 107.7 mm respectively. Calculate (a) The Modulus of elasticity (b) The Strainhardening exponent

The following data were recorded during the tensile test of a test specimen with a diameter of 12.8 mm. The gage length is 50.8 mm. The given data are as follow; Given: Test specimen material: Aluminum Diameter of test specimen: Do = 12.8 mm Length of test specimen: Lo = 50.8 mm Force and Elongation data for test specimen Assumptions: 1. The given data is accurate and the material is isotropic 2. The direction of applied force is parallel to the length of the cylinder Requirement: To interpret and plot the stress Vs Strain curve for a given specimen DATA: LENGTH, mm STRESS, MPa LOAD, N 0 50.8 7 330 50.851 15 100 50.902 23 100 50.952 30 400 51.003 34 400 51.054 38 400 51.308 41 300 51.816 44 800 52.832 46 200 53.848 47 300 54.864 47 500 55.88 36 100 56.896 44 800 57.658 42 600 58.42 36 400 59.182 STRAIN

At higher temperature, strength and strain hardening are increased, whereas, ductility is decreased which permits greater plastic deformation True False O Saaly i The strength constant (C) is increased with increasing of temperature True O False O The metal is becoming weaker as strain increases, this is because of .strain hardening (work hardening) property True O False O ly The engineering stress and strain are defined relative to the instantaneous area and length of test specimen True O False O In sheetmetal working processes, the surface area-to-volume ratio of .w.p. is low True O False O aly ihi Determine the value of the strain-hardening exponent for a metal that will cause the average flow stress to be 70% of the final flow stress after deformation 0.444 0.421 0.422 0.428 aaly i For pure copper (annealed), the strength coefficient = 330 MPa and strain-hardening exponent = 0.52 in the flow curve equation. Determine the average flow stress that the metal experiences if it is…

1. A tensile test was conducted on a metal "505" specimen and the following stress-strain curves were generated, both curves generated from the same set of data. Use the graphs to fill in the mechanical properties of the material tested in the box below. Don't forget units! Stress vs Strain Stress, psi Stress, psi 80000 70000 60000 50000 40000 30000 20000 10000 0 0.00 80000 70000 60000 50000 40000 30000 20000 10000 0.02 0 0.000 0.002 0.04 0.004 0.06 0.006 0.08 0.10 Strain Stress vs Strain 0.008 0.12 Elastic Modulus, E: 0.2% Offset Yield Strength, oo: Tensile Strength, ou: Breaking Strength, of: % Elongation: 0.14 0.010 0.012 0.014 Strain 0.16 0.18 0.016 0.018 0.20 0.020

1 %AV l. 1:Y0 A docs.google.com/forms/d/e مختبر ميكانيك المواد Why used two equipment in shear force and bending moment experiment (one for ?S.F and the other to B.M) إجابتك What is the relationship between the ?distance from neutral axis and stress إجابتك Explain in steps with detail, how can find the ?Young's modulus for any unknown beam إجابتك What is the meaning of + S.F, -S.F, +B.M and ?- B.M إجابتك صفحة 4 من 5 II

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A tensile test was performed on a metal specimen with a diameter of 1/2 inch and a gage length (the length over which the elongation is meas- ured) of 4 inches. The data were plotted on a load-displacement graph, P vs. AL. A best-fit line was drawn through the points, and the slope of the straight-line portion was calculated to be P/AL = 1392 kips/in. What is the modulus of elasticity? BI

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The following data were collected from a 12 mm diameter test specimen of Magnesium. LOAD (N) 0 5000 10000 15000 20000 25000 26500 27000 26500 25000 GAUEGE LENGTH (mm) 30.000 30.0296 30.0592 30.0888 30.15 30.51 30.90 31.50 (maximum load) 32.10 32.79 (fracture) After the fracture, the gauge length is 32.61 mm and the diameter is 11.74 mm. a) What is the elastic modulus? b) Percent elongation at fracture? c) Percent elongation after fracture? d) What is the Poisson's ratio? e)Draw the engineering stress-strain diagram corresponding to the values in the table. Call this plot I. Now consider this experiment is repeated at a higher temperature with an identical sample. Draw the new engineering stress-strain diagram, call it plot Il and highlight the differences (on the same graph) between I and II.

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Q9 Please provide justified answer asap

Need help starting this assignment.  1- Determine the maximum normal stress, the maximum shear stress, the Modulus of Elasticity, the maximum bending moment and the maximum stress due to bending (also known as flexure stress) on the material, from the information provided. 2- From the results of your analysis, determine what material was used for this test. Check whether the material can withstand the different types of loading the hip implant experiences. Use a factor of safety of 4.

Please do it fast and do both pls it's a request but please explain both and handwritten pls I will rate

Current Attempt in Progress X Incorrect. Two previously undeformed cylindrical specimens of an alloy are to be strain hardened by reducing their cross-sectional areas (while maintaining their circular cross sections). For one specimen, the initial and deformed radii are 15 mm and 12 mm, respectively. The second specimen, with an initial radius of 14 mm, must have the same deformed hardness as the first specimen; compute the second specimen's radius, in mm, after deformation. r= i 8.8 eTextbook and Media Hint Save for Later mm R Attempts: 1 of 3 used Submit Answer C No Ur Qu Num Units

10. The following results were obtained in a tensile test on a mild steel specimen of original diameter 20 mm and gauge length 40 mm. Load at limit of proportionality 80 kN Extension at 80 kN load 0.048 mm Load at yield point 85 kN Maximum load 150 kN When the two parts were fitted together after being broken, the length between gauge length was found to be 55.6 mm and the diameter at the neck was 15.8 mm. Calculate Young's modulus, yield stress, ultimate tensile stress, percentage elongation and percentage [Ans. 213 kN/mm2; 270 N/mm²; 478 N/mm²; 39%; 38%] reduction in area.

The % of error between a theoretical shear modulus of 65 GPa and an experimental modulus of rigidity of 60235 MPa is: Select one: O a. 0.0791 % O b. 7.33 % O c. 0.0668 % O d. 7.9 % Torrion test is annlied to study the properties of a material subjected to tensile force.

1. Plot the engineering stress & strain diagram of an alloy having a tensile test result found in Table 1. The tensile test specimen has a diameter of 12.5mm and a gage length of 50.0mm. The given alloy is used to make a 30.0mm diameter cylinder, which is placed inside a hardened circular steel casement with a 30.01mm inner diameter. Table 1: Tensile test results of an alloy Change In Length (mm) Change In Diameter (mm) Load (kN) 0.000 0.0000 0.0000 4.364 0.0254 0.0019 -0.0057 13.092 0.0762 21.819 0.1270 0.0095 30.547 32.729 0.1778 0.7620 34.911 3.0480 30.01 mm O F Rigid Plate Cylindrical Alloy -Steel casement Figure k Section view of the steel casement encapsulating the cylindrical alloy 2. Determine the required minimum value of F such that the cylindrical alloy would touch the walls of the steel casement.

Question Five (5) In an experiment to determine mechanical properties of a material, samples from the material were subjected to a tensile force. In the process, deformations were closely monitored from the beginning of the experiment to the point when the sample failed. The observed deformations 3| Page Scanned with CamScanner were analysed and were as presented in Figure 5.1 below. Based on this figure, answer the following questions a) Using a well labelled sketch, explain what stress and strain are, and give respective SI units b) State the material properties obtained from the points labelledA, B, C and D on Figure 5.1 c) Given results similar to Figure 5.1, explain how you would determine a material's property labelled B. d) Given results similar to Figure 5.1, explain how you would determine a material's Young's modulus. e) What measurements would you take if you were to determine a materials' Poisson's ratio. D B Strain (%) Figure 5.1:Tensile stress-strain behaviour of a…

Please show work for practice problem 12