Problem 3: A 0.625 in. thick rectangular alloy bar is subjected to a tensile load P by pins at A and B as shown. The width of the bar is w = 2.00 in. Strain gages bonded to the specimen measure the following strains in the longitudinal (x) and transverse (y) directions: Ex = 1,140 μe and Ey = -315 με. a) Determine the Poisson's ratio for this material. b) If the measured strains were produced by an axial load of P=17.4 kips, what is the modulus of elasticity for this specimen?

Problem 3: A 0.625 in. thick rectangular alloy bar is subjected to a tensile load P by pins at A and B as shown. The width of the bar is w = 2.00 in. Strain gages bonded to the specimen measure the following strains in the longitudinal (x) and transverse (y) directions: Ex = 1,140 μe and Ey = -315 με. a) Determine the Poisson's ratio for this material. b) If the measured strains were produced by an axial load of P=17.4 kips, what is the modulus of elasticity for this specimen?

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 7.7.13P: An clement of material in plane strain (see figure) is subjected to strains ex= 480 × 10-6, Ey= 70 ×...

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An clement of material in plane strain (see figure) is subjected to strains ex= 480 × 10-6, Ey= 70 × l0-6, and yxy= 420 × l0-6. Determine the following quantities: (a) the strains for an element oriented at an angle 0 = 75°, (b) the principal strains, and (c) the maximum shear strains. Show the results on sketches of properly oriented elements.
uniform diameter d= 1.75 in. Segment (1) is an aluminum Ę₁ = 10000 ksi L₁ = 90 in. Segment (2) is a copper Ę₂ = 17000 ksi L₂ = 126 in. When Pis applied, a strain gage attached to copper segment (2) measures a normal strain of &2 = 1700 uin./in. in the longitudinal direction. What is the elongation of segment (1)? Answer in inch rounded-off to 3 decimal places L₁ A (1) Aluminum B L2 (2) Copper
Compound axial member ABC has a uniform diameter of d = 1.45 in. Segment (1) is an aluminum [E₁ = 10,000 ksi] alloy rod with a length of L₁ = 85 in. Segment (2) is a copper [E₂ = 17,000 ksi] alloy rod with a length of L₂ = 121 in. When axial force P is applied, a strain gage attached to copper segment (2) measures a normal strain of 2 = 1800 μin./in. in the longitudinal direction. What is the total elongation of member ABC? SABC = i eTextbook and Media GO Tutorial Save for Later L Aluminum in. B L₂2 Copper CP Attempts: 0 of 5 used Submit Answer
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A 0.625 in. thick rectangular alloy bar is subjected to atensile load P by pins at A and B as shown in Figure below Thewidth of the bar is w = 2.00 in. Strain gages bonded to the specimenmeasure the following strains in the longitudinal (x) and transverse(y) directions: ε x = 1,140 mε and ε y = −315 mε.(a) Determine Poisson’s ratio for this specimen.(b) If the measured strains were produced by an axial load P =17.4 kips, what is the modulus of elasticity for this specimen?
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The stress-strain diagram for polyethylene, which is used to sheath coaxial cables, is determined from testing a specimen that has a gage length of 11 in. A load P on the specimen develops a strain of € = 0.024 in. /in. (Figure 1) Figure σ (ksi) 5 4 3 2 1 O = 3,7 e O 0.008 0.016 0.024 0.032 0.040 0.048 0.004 1 of 1 P € (in./in.) Part A Determine the approximate length of the specimen, measured between the gage points, when the load is removed. Assume the specimen recovers elastically. Express your answer in inches to four significant figures. 15] ΑΣΦ | 11 | vec L = Submit Provide Feedback Request Answer www ? Review in. Next >
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