![2. [5 pts] Show that for an isotropic linear elastic material subjected to a biaxial stress state, the relationship between s](http://img.homeworklib.com/questions/2fcf4520-1e14-11eb-b21f-7510d5aa7342.png?x-oss-process=image/resize,w_560)
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2. [5 pts] Show that for an isotropic linear elastic material subjected to a biaxial stress...
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
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%?
The state of stress at a point of an elastic solid is given in the x-y-z...
The state of stress at a point of an elastic solid is given in
the x-y-z coordinates by:
Question 2 The state of stress at a point of an elastic solid is given in the x-y-z coordinates by: o. O40000 L0 80 230 ay 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...
1. (25 pts) The Prandtd-Reuss model is applicable to an isotropic, elastic-perfectly plastic material. A thin...
1. (25 pts) The Prandtd-Reuss model is applicable to an isotropic, elastic-perfectly plastic material. A thin sheet made out of this material is under balanced biaxial loading (in x and y-directions, Cx). Plot a) vs. a b) ( 0 vs. (&x a) c) Ivs. E Ox Ty
A homogeneous and isotropic material is subjected to extenal loads show in the figure. Determine the...
A homogeneous and isotropic material is subjected to extenal loads show in the figure. Determine the average normal stress at A. B and C and report the maximum normal stress in the material. the diameter of each segment is given. 3 kip 2 kip 0.5 in 1 in 1.5 in
Question 15 (1 point) A material element is subjected to plane stress conditions. The stresses at...
Question 15 (1 point) A material element is subjected to plane stress conditions. The stresses at the point of interest are as follows (units of MPa are assumed): 0x =-87 Oy =36 Txy =-77 Determine the normal strain in the z-direction, Ex, in microstrain (to one decimal place). So if the value is 18.4 E-06, just enter "18.4". You may assume Young's modulus is 72 GPa and Poisson's ratio is 0.3 for this material.
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) Poisso...
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...
An element in plane stress is subjected to stresses Ox, Oy, and Txy (see figure). The...
An element in plane stress is subjected to stresses Ox, Oy, and Txy (see figure). The material is aluminum with modulus of elasticity E:= 10 (10%) psi and Poisson's ratio v:=0.25. Hint: start with Hooke's Law for Plane Stress (Eq. 7-35 and 36) and the relationship between G and E! (a) Determine the strains for an element oriented at an angle e. (b) Determine the principal strains. (c) Determine the maximum shear strains. 0x := 3000 psi , := 600...
Question 2 The state of stress at a point of an elastic solid is given in...
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...
Page 5 ofs Question2 (10 pts.) The stress-strain curve for a nonlinear, perfectly elastic material is...
Page 5 ofs Question2 (10 pts.) The stress-strain curve for a nonlinear, perfectly elastic material is shown below. A sample of the material is loaded until the stress reaches the value at Point B, after which the sample is unloaded to zero stress. What is the approximate permanent deformation in material? (MPa) 125 100 75ト 50 25 A 5 10 15 20 25 30 35 40 (x 10-4) (A) 0 (B) 0.001 (C) 0.002 (D) 0.003 Support your answers with...
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
The state of stress at a point of an elastic solid is given in
the x-y-z coordinates by:
Question 2 The state of stress at a point of an elastic solid is given in the x-y-z coordinates by: o. O40000 L0 80 230 ay 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...
1. (25 pts) The Prandtd-Reuss model is applicable to an isotropic, elastic-perfectly plastic material. A thin sheet made out of this material is under balanced biaxial loading (in x and y-directions, Cx). Plot a) vs. a b) ( 0 vs. (&x a) c) Ivs. E Ox Ty
A homogeneous and isotropic material is subjected to extenal loads show in the figure. Determine the average normal stress at A. B and C and report the maximum normal stress in the material. the diameter of each segment is given. 3 kip 2 kip 0.5 in 1 in 1.5 in
Question 15 (1 point) A material element is subjected to plane stress conditions. The stresses at the point of interest are as follows (units of MPa are assumed): 0x =-87 Oy =36 Txy =-77 Determine the normal strain in the z-direction, Ex, in microstrain (to one decimal place). So if the value is 18.4 E-06, just enter "18.4". You may assume Young's modulus is 72 GPa and Poisson's ratio is 0.3 for this material.
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...
An element in plane stress is subjected to stresses Ox, Oy, and Txy (see figure). The material is aluminum with modulus of elasticity E:= 10 (10%) psi and Poisson's ratio v:=0.25. Hint: start with Hooke's Law for Plane Stress (Eq. 7-35 and 36) and the relationship between G and E! (a) Determine the strains for an element oriented at an angle e. (b) Determine the principal strains. (c) Determine the maximum shear strains. 0x := 3000 psi , := 600...
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...
Page 5 ofs Question2 (10 pts.) The stress-strain curve for a nonlinear, perfectly elastic material is shown below. A sample of the material is loaded until the stress reaches the value at Point B, after which the sample is unloaded to zero stress. What is the approximate permanent deformation in material? (MPa) 125 100 75ト 50 25 A 5 10 15 20 25 30 35 40 (x 10-4) (A) 0 (B) 0.001 (C) 0.002 (D) 0.003 Support your answers with...
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