The stress-strain diagram for a steel alloy having an original diameter of 0.3 in. and a gage length of 5 in. is shown in the figure below. (Figure 1) Figure σ (ksi) 80 70 60 50 40 30 20 10 0 0 0.04 0.08 0.12 0.16 0.20 0.24 0.28 0 0.0005 0.001 0.0015 0.002 0.0025 0.0030.0035 e (in./in.) 1 of 1 Determine the modulus of resilience. Express your answer to three significant figures. |VL]ΑΣΦΠIvec h (U₂)approx Submit Part B Determine the modulus of toughness. Express your answer to three significant figures. (14)approx= Submit Request Answer Provide Feedback ΠΙΑΣΦΩvec Request Answer h p ? ? in-lb inª in-kip in³

The stress-strain diagram for a steel alloy having an original diameter of 0.3 in. and a gage length of 5 in. is shown in the figure below. (Figure 1) Figure σ (ksi) 80 70 60 50 40 30 20 10 0 0 0.04 0.08 0.12 0.16 0.20 0.24 0.28 0 0.0005 0.001 0.0015 0.002 0.0025 0.0030.0035 e (in./in.) 1 of 1 Determine the modulus of resilience. Express your answer to three significant figures. |VL]ΑΣΦΠIvec h (U₂)approx Submit Part B Determine the modulus of toughness. Express your answer to three significant figures. (14)approx= Submit Request Answer Provide Feedback ΠΙΑΣΦΩvec Request Answer h p ? ? in-lb inª in-kip in³

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.7.19P: During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as...

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During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as follows: gage A, 520 × l0-6; gage B. 360 × l0-6; and gage C,-80 × 10-6. Determine the principal strains and maximum shear strains, and show them on sketches of properly oriented elements.
The stress-strain diagram for a steel alloy having an original diameter of 0.80 in. and a gage length of 2 in. is shown in the figure below. (Figure 1) Figure ☛ (ksi) 80 70 60 50 40 30 20 10 0 0 004 0.08 0.12 0.16 0.20 0.24 0.28 0 0.0005 0.001 0.0015 0.002 0.0025 0.0030.0035 1 of 1 € (in./in.) Determine the modulus of elasticity for the material. Express your answer to three significant figures and include appropriate units. Expprox Value Submit Part B Submit Py = Value Part C Request Answer Determine the load on the specimen that causes yielding. Express your answer to three significant figures and include appropriate units. μÃ μÃ P₁ = Request Answer Units Value Units Determine the ultimate load the specimen will support. Express your answer to three significant figures and include appropriate units. MIC ? Units www ? www ?
The stress-strain diagram for a steel alloy having an original diameter of 0.80 in. and a gage length of 2 in. is shown in the figure below. (Figure 1) Figure (ksi) 80 70 60 50 40 30 20 10 0 0 0.04 0.08 0.12 0.16 0.20 0.24 0.28 0 0.0005 0.001 0.0015 0.002 0.0025 0.0030.0035 (in./in.) 1 of 1 Part A Determine the modulus of elasticity for the material. Express your answer to three significant figures and include appropriate units. Eapprox= Value Submit Part B Py = Submit Determine the load on the specimen that causes yielding. Express your answer to three significant figures and include appropriate units. Part C Request Answer P₁ = HA Value Request Answer Units Value Units WX ? p Determine the ultimate load the specimen will support. Express your answer to three significant figures and include appropriate units. Units ? ?
The stress-strain diagram for a steel alloy having an original diameter of 0.80 in and a gage length of 10 in. is shown in the figure below. (Figure 1) Figure (ks) 70 40 30 40 30 20 10 0 004 00 - 612 636 630 6.34 0.38 BLS GURE LUNGS GORD 1 of 1 (in/in) X Incorrect; Try Again; 2 attempts remaining Part B Determine the load on the specimen that causes yielding Express your answer to three significant figures and include appropriate units. Py = 74 Submit kips Previous Answers Request Answer ?
The stress-strain diagram for an aluminum alloy specimen having an original diameter of 0.5 in. and a gage length of 2 in. is shown in the figure below. (Figure 1) Figure σ (ksi) 70 60 50 40 30 20 10 1 of 1 > 0 0 0.02 0.04 0.06 0.08 0.10 0.12 0.14 0.16 0.18 0.2 (in./in.) 0 0.0025 0.0050.0075 0.01 0.01250.0150.0175 0.02 0.0255 0.025 Determine the modulus of elasticity. Express your answer to three significant figures and include appropriate units. Expprox = Submit Part B Py = Submit Part C P₁ = Value Request Answer Determine the load on the specimen that causes yielding. Express your answer to three significant figures and include appropriate units. Value HA Request Answer D'A |μA 3 Value Units Determine the ultimate load the specimen will support. Express your answer to three significant figures and include appropriate units. Units pag ? Units ? ?
2) The stress-strain diagram for an alloy specimen having an original diameter of 0.5 in. and a gage length of 2 in. is shown in the figure below. TENSILE STRESS (MPA) 450 400 350 300 250 200 150 100 50 Part A 0 0 STRESS VS. STRAIN 0.002 0.004 STRAIN 0.006 Determine the modulus of resilience. Show units. Part B Determine the modulus of elasticity of the material. Part C Estimate the Yield Strength of the material. 0.008 0.01
Stress (MPa) 600 500- 400 300 200 100- 0 0.00 Stress (MPa) 0.04 500 400 300 200 100 0.000 1 0.08 0.002 0.004 Strain Strain 0.12 0.006 1 0.16 0.20 Figure 6.22 Tensile stress-strain behavior for a steel alloy. 6. A steel alloy with a rectangular cross section 13.8 mm x 6.4 mm and length 560 mm has the stress-strain behavior shown in Figure 6.22 above. This specimen is subjected to a tensile force of 42,000 N. (a) Determine the elastic and plastic strain in the specimen in the loaded condition. (b) Determine the final length of the specimen after the load is released.
Determine the tensile yield strength (0.2% offset) and the maximum strength of a metal alloy having the following tensile stress-strain diagram. 600 500 400 500 300 400 300E 200 3200 100 100E 0.000 0.002 0.004 0.006 Strain ol 0.00 0.16 0.20 0.08 Strain 0.04 0.12 Select one: O The tensile yield strength Sy = 290 Mpa and the maximum strength Smax = 500 Mpa. O The tensile yield strength Sy = 170 Mpa and the maximum strength Smax = 400 Mca. G The tensile yield strength Sy = 200 Mpa and the maximum strength Smax = 500 Moa. O Tne tensile yield strength Sy = 390 Mpa and the maximum strength Smax= 500 Mpa. The tensile yed strength Sy = 150 Mpa and the maximum strength Smax = 250 Mpa. Stress (MPa) Stress (MPa)
A tension test was performed on an aluminum 2014- T6 alloy specimen. The resulting stress-strain diagram is shown in the figure. Estimate (a) the proportional limit, (b) the modulus of elasticity, and (c) the yield strength based on a 0.2% strain offset method. a (MPa) 420 350 280 210 140 70 (mm/mm) 0.06 0.02 0.002 0.08 0.008 004 0.10 0.004 0.006 0.010
The shear stress-shear strain diagram for a material is shown. The bolt used to hold the lap joint is made of this material and has a diameter of 0.35 in. The material has a Poisson's Ratio of 0.2. T (ksi) F T1 G = Values for the figure are given in the following table. Note the figure may not be to scale. Variable T1 Y1 Value 40 ksi 0.003 rad 71 -7 (rad) a. Determine the Shear Modulus of the allow, G. b. Determine the Elastic Modulus of the allow, E. c. Determine the force required to cause the material to yield, F. Round your final answers to 3 significant digits/figures. ksi
1.4-7 The data shown in the table below were obtained from a tensile test of high-strength steel. The test specimen had a diameter of 13 mm and a gage length of 50 mm (see figure for Prob. 1.4-3). At fracture, the elongation between the gage marks was 3.0 mm and the minimum diameter was 10.7 mm. Plot the conventional stress-strain curve for the steefor the steel and determine the proportional limit, modulus of elastics of elastic- ity (i.e., the slope of the initial part of the stress-strain,tress-strain curve), yield stress at 0.1% offset, ultimate stress, percent, elongation in 50 mm, and percent reduction in area. 'ess, percent area. TENSILE-TEST DATA FOR PROB. 1.4-7 Elongation (mm) 0.005 0.015 0.048 Load (kN) 5 10 30 50 0.084 60 0.099 64.5 0.109 67.0 0.119 68.0 0.137 69.0 0.160 70.0 0.229 72.0 0.259 76.0 0.330 84.0 0.584 92.0 0.853 100.0 1.288 112.0 2.814 113.0 Fracture
Problem F2 stress (ksi) 130 120 110 100 90 80 70 60 50 40 30 20 10 0 0.000 0.025 0.050 0.075 0.100 0.125 0.150 0.175 strain (in/in) Above you will find the experimental stress-strain diagram of 1045 steel. Calculate the permanent set if a cylindrical specimen with a diameter of 2 in is loaded to the ultimate stress and then unloaded. Provide your answer in units of in/in with 3 significant figures after the decimal. The elastic modulus of 1045 steel is 29,000 ksi.