a linear elastic material is subjected to differing strains . at a strain of 0.2%, the...
a linear elastic material is subjected to differing strains . at a strain of 0.2%, the stress is 36 MPA whereas at a strain of 0.75% the stress is 128 MPA.
Determine the stress at a strain of 0.58%?
Homework Answers
here young modulus of elasticity is written as ratio of stress and strain and is a constant for a material in elastic limit of a material
so
stress at strain of 0.58 % is = 104.4 M Pa
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a linear elastic material is subjected to differing strains . at a strain of 0.2%, the...
A linear elastic material is subjected to differing strains. At a strain of 0.2%, the stress...
A linear elastic material is subjected to differing strains. At a strain of 0.2%, the stress is 36 MPa whereas at a strain of 0.75%, the stress is 128 MPa. a) (5 points) Determine the stress in this material at a strain of 0.58% (use linear interpolation) 5, 1. b) (5 points) what is the Young's modulus (elastic modulus) of this material? Use proper units mce
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⎛
⎝
⎜⎜
⎞
⎠
⎟⎟
⎛
⎝
⎜⎜
⎞
⎠
⎟⎟
=
885 154 0
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0 615 577
0 002 0 001 0
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0 0 004 0
MPa; and ij
. .
. . .
.
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13-1 A cast-iron plate in biaxial stress is subjected to tensile stresses ơ,-30MPa and ơ.-40MPa (see figure). The corresponding strains in the plate are E-120x106 and ε,-160x106. Determine (1) Poisson's ratio v for the material (2) Modulus of elasticity E for the material. (3) Strain energy density u.
13-1 A cast-iron plate in biaxial stress is subjected to tensile stresses ơ,-30MPa and ơ.-40MPa (see figure). The corresponding strains in the plate are E-120x106 and ε,-160x106. Determine (1) Poisson's ratio v...
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A linear elastic material is subjected to differing strains. At a strain of 0.2%, the stress is 36 MPa whereas at a strain of 0.75%, the stress is 128 MPa. a) (5 points) Determine the stress in this material at a strain of 0.58% (use linear interpolation) 5, 1. b) (5 points) what is the Young's modulus (elastic modulus) of this material? Use proper units mce
2. [5 pts] Show that for an isotropic linear elastic material subjected to a biaxial stress state, the relationship between stress and strain is such that: Of = (x+vey)}; Oy = (byt veze; O Txy = 207vs Yxy 1-12 1-12 1 Ιαν
6. If the stresses and strains at a point in a linear elastic
material are given by
σij = ε
⎛
⎝
⎜⎜
⎞
⎠
⎟⎟
⎛
⎝
⎜⎜
⎞
⎠
⎟⎟
=
885 154 0
154 1038 615
0 615 577
0 002 0 001 0
0 001 0 003 0 004
0 0 004 0
MPa; and ij
. .
. . .
.
respectively, determine (i) the total strain energy density in the
material, (ii) the hydrostatic...
1. 4. A material is subjected to two mutually perpendicular strains 350 x10-6 units and - 50 x 10-6 units together with an unknown sheer strain, if the principal strain in the material is 420 x 10 units. If E - 200 GN/m? - 0.3, determine the following. a. a) Magnitude of the shear strain b. b) The other principal strain C. c) The direction of principal strains axes d. d) The magnitude of the principal stresses 1. 5. For...
Specimens of human cortical bone tissue were subjected to a simple tension test until fracture. The test results revealed a stress-strain diagram shown in the following figure, which has three distinct regions. These regions are an initial linearly elastic region (between 0 and A), an intermediate nonlinear elastoplastic (between A and B), and a final linearly plastic region (between B and C). The average stresses and corresponding strains at points O, A, B and C are measured as: Point Stress...
The state of stress at a point of an elastic solid is given in
the x-y-z coordinates by:
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Question 2 The state of stress at a point of an elastic solid is given in the x-y-z coordinates by: on 0, 0] [220 0 01 [0]= 0, 0, 0, = 0 80 50 MPa Loa 0 0 Lo 50 120] a. Calculate the strain tensor b. Calculate the characteristic equation for the three-dimensional state of strain. C. Calculate the principal strains at the point. d. Calculate the volumetric strain and the deviatoric strain invariants The material is linear elastic...
13-1 A cast-iron plate in biaxial stress is subjected to tensile stresses ơ,-30MPa and ơ.-40MPa (see figure). The corresponding strains in the plate are E-120x106 and ε,-160x106. Determine (1) Poisson's ratio v for the material (2) Modulus of elasticity E for the material. (3) Strain energy density u.
13-1 A cast-iron plate in biaxial stress is subjected to tensile stresses ơ,-30MPa and ơ.-40MPa (see figure). The corresponding strains in the plate are E-120x106 and ε,-160x106. Determine (1) Poisson's ratio v...
Question 1: The stress-strain diagram for a material is shown in figure. Find the following properties of the material. (a) Yield load if the diameter of specimen at yielding is 13mm. (b) Modulus of resilience (c) Elastic Strain Stress (MPa) CS Scanned with CamScanner 0.001 0.003 Strain
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