Strain Stress (Мра) 0.002 220 STRESS VS. STRAIN 0.003 340 450 0.004 360 400 0.005 400 350 0.006 420 300 0.007 415 250 0.008 400 200 0.009 380 150 100 50 0.002 0.004 0.006 0.008 0.01 STRAIN 1) A) 4 pts. Estimate the Young's Elastic Modulus from the data and graph above. Watch units. B) 2 pts. Estimate the proportional limit of this material. C) 4 pts. Estimate the Yield Strength of this material. TENSILE STRESS (MPA)

Strain Stress (Мра) 0.002 220 STRESS VS. STRAIN 0.003 340 450 0.004 360 400 0.005 400 350 0.006 420 300 0.007 415 250 0.008 400 200 0.009 380 150 100 50 0.002 0.004 0.006 0.008 0.01 STRAIN 1) A) 4 pts. Estimate the Young's Elastic Modulus from the data and graph above. Watch units. B) 2 pts. Estimate the proportional limit of this material. C) 4 pts. Estimate the Yield Strength of this material. TENSILE 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 data recorded during a tensile test on a metal alloy bar is shown in table below. Test piece dimensions: diameter 12.0 mm, gauge length 60mm. Gauge Length, mm Load, KN 0 10 30 50 70 75 80 81 81 76 60.000,+ 60.030 d) Fracture strength e) Modulus of resilience 60.105 60.195 60.270 61.125 63.500 64.500 66.000 67.695 Convert the load-length data to engineering stress and strain. Plot the stress-strain curve and determine the following: a) Modulus of Elasticity b) Yield stress for an offset 0.2% c) Ultimate strength
Graph the following data on a stress-strain curve. Identify/Determine the following: Elastic Limit, Plastic Limit, Proportional Limit, Upper Yield Point, Lower Yield Point, Ultimate Strength, Rupture Strength, and Modulus of Elasticity. Engr. True Stress Strain o, MPa 102.3 0.00050 204.7 0.00102 293.5 0.00146 272.9 0.00230 264.0 0.00310 268.9 0.00500 267.6 0.00700 264.0 0.01000 318.6 0.0490 372.0 0.1250 394.4 0.2180 395.0 0.2340 384.2 0.3060 360.4 0.3300 327.5 0.3480 290.0 0.3600 266.8 0.3660
You have been given the following set of data from a soil-geotextile friction test: Normal stress (kPa) Peak shear strength (kPa) Residual shear strength (kPa) 17 20.2 13 35 31 22 70 52 39.5 140 94 74.5 (a) Plot the Mohr-Coulomb failure envelope (x-axis=normal stress; y-axis=shear stress) (b) Determine the peak friction angle, and the residual friction angle, . (c) Determine the peak adhesion and the residual adhesion. (d) Calculate the fabric efficiency based on a soil friction angle of = 35-degrees using the peak friction angle. **HINT: the equation for efficiency of soil friction angle mobilization is:
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.
7. The following data were obtained in a tensile test on a specimen with a 50 mm gauge length and a cross- sectional area of 165 mm². Extension, mm 0.050 0.100 0.150 0.200 0.250 0.300 1.25 2.50 3.75 5.00 6.25 7.50 93 100 101 90 Load, KN 12 25 32 36 40 42 63 80 a) Plot an Engineering stress-strain diagram. b) Determine the elastic modulus of the material. c) Determine the yield strength of the material at a strain offset of 0.2%. d) Determine the tensile strength of the material.
The following data were collected from a 12 mm diameter test specimen of Magnesium. LOAD (N) GAUEGE LENGTH (mm) 0 5000 10000 15000 20000 25000 26500 27000 26500 30.000 25000 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 II and highlight the differences (on the same graph) between I and II.
The stress-strain diagram of a reinforcement steel having a cross-sectional diameter of 12 mm diameter and 100 mm gage length is determined after its tensile strength test as follows. Based on the stress- strain diagram determine the followings properties of the material (Poisson's ratio of the material is 0.32) : 600 550 500 450 400 350 d) Resilience 300 e) Shear modulus 250 200 f) Bulk modulus 150 g) Ductility as described by 100 percent change in length 50 0.01 0.02 O.03 0.04 0.05 0.06 0.07 0.08 0.09 0.i 0.11 0.12 0.13 0.14 0.15 0.16 0.17 0.18 Strain Stress, MPa
In a compression testing of concrete cylinders, stress and strain obtained from the experiment are presented in the following table ex 103 It was found that a function which can describe the o (MPa) 7.1 0.265 relationship between stress and strain is 9.7 0.400 11.8 0.500 O = aɛe-bɛ 14.4 0.700 16.7 0.950 Please determine a and b and make a plot to compare the results with the data obtained from the model 19.0 1.360 20.7 2.080 19.7 2.450 18.5 2.940
σ (ksi) 105 90 75 60 45 30 15 0 8 0 0 0.20 0.25 0.30 0.35 0.05 0.10 0.15 0.001 0.002 0.003 0.004 0.005 0.006 0.007 € (in./in.) The stress-strain diagram from tensile test data for a metal alloy is shown. If the diameter of testing sample is 0.5 in determine: a) UTS b) Yield Strength c) Braking/ Failure Strength d) Young Module of Elasticity e) The load causing yielding in material
21 UCKPI 20 During a football game, a vertebra in one of the player's spines experiences a shear force of 524 N. If we model the vertebra as a cylinder whose height is 0.61 cm and diameter is 3.30 cm, find the shear deformation experienced by the vertebra. Express your answer in micrometers. Type your answer... DO
tensile test PCKN) AL (Mm) Dimensions of the sample be fore e xamin ation 4.12 0. 29 D= 9.5mm L=50 7.64 0.55 12 0.91 15, 8 4 l.27 19.5 1.6 2५.3 2. 11 28 3.5 Dimensions of the sample after exam ination 31.2 5.25 d - 5.7 33.6 2=? 35 8.75 35.7 1o.5 36 12.2 31.5 15.7 27.8 15.8
STATICS AND STENGITH OF MATERIALS Question: Load (kip) Elongation (in.) 0 0 A tension test was performed on a steel specimen having an original diameter of 0.503 in. and gage length of 2.00 in. The data is listed in the table beside. 1.50 0.0005 4.60 0.0015 8.00 0.0025 11.00 0.0035 11.80 0.0050 1. Plot the stress-strain diagram (better to use a software like MS Excel) and determine approximately 11.80 0.0080 12.00 0.0200 16.60 0.0400 a. the modulus of elasticity, 20.00 0.1000 21.50 0.2800 b. the yield stress, 19.50 0.4000 18.50 0.4600 c. the ultimate stress, d. the fracture stress. Use a scale of 1 in. = 20 ksi and 1 in. = 0.05 in.>in. 2. Redraw the elastic region (on the same graph), using the same stress scale but a strain scale of 1 in. = 0.001 in.>in.