1) Curve fitting Data from an experiment to estimate a spring constant k. The mass measured in grams is added to the spring and the displacement is measured in mm. m(g) 5.00 8(mm) 15.5 F=k* 8 10.00 33.07 k=m*g/ 8 20.00 53.39 50.00 140.24 Fit a straight line to the data and determine the Spring Constant “k”. 100.00 301.03
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- b) A sedan car weights 2100 kg with 45:55 distributions front to rear. The car has wheelbase of 1.9 m. With aid of following table showing the tyre cornering stiffness values for different loads: Load Cornering Stiffness (kg/deg) 300 131 400 149 500 174 600 203 i) Calculate the cornering coefficient for the front and rear tyres. ii) Calculate the understeering gradient. iii) Determine whether it is understeer or over steer. iv) Calculate critical or characteristic speed.Mechanical Engineering xyz= 703 Stress, ksi (log) 72 49 35 28 10³ 8 x 10³1 10¹ 401 X 8't 49 ksi 10 ksi 401 X 9'1 35 ksi 28 ksi 105 Cycles (log) 106 19.8 The provided S-N curve shows the fatigue strength of a ferrous component with unknown geometry. 107 Given the following duty record, how much life is consumed at each stress level? 60 ksi 500 cycles 2000 cycles (600 000 + XYZ*100) cycles (15000 + XYZ) cycles 40000 cyclesAreas Under the Standard Normal Curve-The Values Were Generated Using the Standard Normal Distribution Function of Excel Note that the standard normal curve is symmetrical about the mean. z 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 0.11 0.12 1 0.95 0.96 0.97 0.98 0.99 1.01 1.02 1.03 1.04 1.05 Mean - 0 1.06 1.07 1.08 1.09 A 0.0000 0.0040 0.0080 0.0120 0.0160 0.0199 0.0239 0.0279 0.0319 0.0359 0.0398 0.0438 0.0478 A 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3340 0.3365 0.3389 Z 0.3413 0.3438 0.3461 0.3485 0.3508 0.3531 0.3554 0.3577 0.3599 0.3621 0.13 0.14 0.15 0.16 0.17 0.18 0.19 0.2 0.21 0.22 0.23 0.24 0.25 1.12 1.13 1.14 1.15 1.16 1.17 A z 0.0517 0.0557 0.26 0.27 0.28 0.29 0.0596 0.0636 0.0675 0.3 0.0714 0.31 0.0753 0.32 0.0793 0.33 0.0832 0.34 0.0871 0.35 0.0910 0.0948 0.0987 1.18 1.19 1.2 1.21 1.22 1.23 1.24 1.25 1.26 1.27 1.28 A 0.3643 0.3665 0.3686 0.3708 0.3729 0.3749 0.3770 0.3790 0.3810 0.36 0.3830 0.3849 0.3869 0.3888 0.3907 0.3925 0.3944 0.3962 0.3980 0.3997 0.37…
- Determine the critical speed for a vehicle with the following parameters; Parameter Value Units Mass 1,451 kg Wheelbase 2.57 Forward weight bias 45 Front axle cornering 67 kN/rad stiffness Rear axle cornering stiffness 67 kN/rad Provide your answer in units of (m/s) to 1 decimal place.30. In a typical tension test a dog-bone shaped specimen is pulled in a machine. During the test, the force F needed to pull the specimen and the length L of a gauge section are measured. This data is used for plotting a stress-strain diagram of the material. Two definitions, engineering and true, exist for stress and strain. The engineering stress F de and strain e are defined by oe F %3D and A0 L-Lo where Lo and Ao are the initial gauge 6, = Lo length and the initial cross-sectional area of the specimen, respectively. The true stress o, and strain e are defined by o, 는는 and q %3D = In A0 Lo The following are measurements of force and gauge length from a ten- sion test with an aluminum specimen. The specimen has a round cross sec- tion with a radius of 0.25 in. (before the test). The initial gauge length is 0.5 in. Use the data to calculate and generate the engineering and true stress- strain curves, both on the same plot. Label the axes and use a legend to identify the curves. Units:…3. A strip of chicken skin was excised for mechanical testing in tension. The initial dimension of the rectangular specimen was 30 mm long and 15 mm wide, with average thickness of 3 mm. The mechanical testing was conducted at a rate of 5 mm/sec. The following data were obtained: gauge length, mm 20 22 24.2 26.3 27.9 30.1 force, N 0 0.8 2.7 7.9 12.9 19.6 a. Calculate the engineering stresses and strain from the information given and plot the stress-strain curve. Assume that 5 mm of the specimen length is clamped by the testing grip at each end, such that the initial gauge length of the specimen is 20 mm.
- 3. Examine your data in Data Table 2 and in Data Table 3. For the data with the smallest percentage difference, compare the total energy at each point. Calculate the sum U₁+Ug at x₁ as ½kx-mgx₁. Calculate that sum at x₂ as ½kx²-mgx₂. Do you expect them to agree reasonably well? Explain why they should or should not be the same. 4. Consider the same data as used in Question 3. Calculate the value of x halfway between x₁ and x₂. Calculate U₁+Ug=½kx² − mgx_for_that point. Do you expect them to agree with the energy calculated in Question 3? If they agree reasonably well, explain why they do. If they do not agree, explain why they do not agree.E VIII Radius 1, 2, 3, 4 = 0.18 m. (Same radius) Angle between 2 & 3 = 03 Angle between 2 & 4 = 04 Angle between 2 & 1 = 01 Plane Rogulta A C D Mass (Kg) ma 30 50 Radius (r) 0.18 0.18 0.18 0.18 Angle 0 0 90 120 40 Find (ma). Using analytical method 210 Distance from Weight (L) - y 0 0.3 XLab 2-Measurement Asynch - Tagged.pdf Page 4 of 7 ? Part I: Taking Measurements & Estimating Uncertainties for a single measurement www.stefanelli.eng.br The mass of the object is_ 0 i Parts on a tripie peam palance 0 0 10 20 30 1 100 2 3 40 200 4 +/- 50 60 70 5 300 7 400 80 Qv Search 8 90 9 500 100 9 10 g www.stefanelli.eng.br
- Read the peak power and peak torque from the following curve. Also, find the engine speed that the peak power and peak torque occur at, and ensure this engine speed is in Rad/sec. Torque Power N.m kW 40 35 30 25 8020 70 6015 50 40 10 30 20 5 10 00 0 1000 N (C max) N(C min) N (Pmax) 2000 3000 4000 5000 6000 Engine Speed (RPM) g/kWh 400 300 200 100 0 Specific Fuel ConsumptionQ8): To find how much heat is required to bring a kettle of water to its boiling point, you are asked to calculate the specific heat of water at 61°C. The specific heat of water is given as a function of time in Table below. Temperature, T Specific heat, C₂ (°C) J kg-°C 22 42 52 82 100 4181 4179 4186 4199 4217 Determine the value of the specific heat at 7=61°C using the direct T method of interpolation and a third order polynomial. Find the absolute relative approximate error for the third order polynomial approximation (Lagrange Method).A tensile test was performed to find the stress-strain curve of a metal sample.Here are the results provided by the tensile testing machine.Suppose the results are free of errors. Elongation, 0 AL (cm) Applied force , F(N) 4.086 5.448 2.724 6.81 1.362 55571.1 61710.1 52930.5 68018.1 39498.3 Additional information : Lo : the length of the extensometer Lo = 5.42 cm A= 5.342 Questions : a) At. Using the 0.2% yield strength method, calculate the tensile strength of the metal sample. b) Find the modulus of resilience of the material under test. c) Calculate the allowable load for an object made of this metal using the parameters following: * Maximum stress: elastic limit Cross section: 10 mm2 Safety factor (or margin): 7 Calculate numerically with a minimum of four decimal places.