The state of stress at a point of an elastic solid is given in the x-y-z coordinates by:
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The state of stress at a point of an elastic solid is given in
the x-y-z...
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...
Question 1 The 3-dimensional state of strain at a material point in x, y, z coordinates is given ...
Question 1 The 3-dimensional state of strain at a material point in x, y, z coordinates is given by: Calculate the volumetric strain and the deviatoric strain invariants a. b. Calculate the mean stress and the deviatoric stress tensor. Calculate the characteristic equation of strain. Calculate the characteristic equation of stress. c. d. The material is linear elastic (E-210GPa, v-0.3) (18 marks)
Question 1 The 3-dimensional state of strain at a material point in x, y, z coordinates is given...
need solution for milestones A Q1 Solid Mechanics 3 Assessment Task 1a - 2020 Milestone a...
need solution for milestones A Q1
Solid Mechanics 3 Assessment Task 1a - 2020 Milestone a Question 1. For each of the plane-stress conditions given below, construct a Mohr's circle of stress, find the principal stresses and the orientation of the principal axes relative to the xy axes and determine the stresses on an element, rotated in the x-y plane 60° counterclockwise from its original position: (a) dx = 200 MPa Oy - 300 MPa T .40 MPa (b) dx...
The 3D state of stress in a point of an elastic solid is given in the...
The 3D state of stress in a point of an elastic solid is given in the x-y-z coordinates by: 「200 200 01 [o] 1 200 300 01 Using the matrix transformation law, determine the state of stress at the same point for an element rotated in the x-y plane 30° anticlockwise about the z-axis from its original position. a. b. Calculate the stress invariants and write the characteristic equation for the original state of stress Calculate the deviatoric invariants for...
hello guys can u help me :) Question 1. For each of the plane-stress conditions given...
hello guys can u help me :)
Question 1. For each of the plane-stress conditions given below, using the matrix transformation law, determine the state of stress at the same point for an element rotated in the x-y plane 30° clockwise from its original position: (a) Ox = 200 MPa Oy = 400 MPa Txy = - 60 MPa (b) Ox = 300 MPa Oy = -180 MPa Txy = 320 MPa Question 2 my x2 The state of stress...
1. Consider the following displacement field in an isotropic linearly elastic solid descri terms of the Young's modulus E and Poisson's ratio v: (a) Determine the stress tensor (matrix),...
1. Consider the following displacement field in an isotropic linearly elastic solid descri terms of the Young's modulus E and Poisson's ratio v: (a) Determine the stress tensor (matrix), ) Is the state of stress a possible equilibrium stress field? Neglect body forces. 10 point 2. The assemblv shown in
1. Consider the following displacement field in an isotropic linearly elastic solid descri terms of the Young's modulus E and Poisson's ratio v: (a) Determine the stress tensor (matrix), )...
Problem 2: The state of stress at a point is given by 80 20 40 [a] 20 60 10|MPa 40 10 20 (a) Dete...
Please include all parts!
Problem 2: The state of stress at a point is given by 80 20 40 [a] 20 60 10|MPa 40 10 20 (a) Determine the strains using Young's modulus of 100 GPa and Poisson's ratio of 0.25 (b) Compute the strain energy density using these stresses and strains (c) Calculate the principal stresses and principal stress directions (can use the MATLAB command) (d) Write the strains calculated in (a) above in the form of strain matrixel...
The rectangular steel plate below measures 1 m x 0.5 m x 10 mm. Assume that...
The rectangular steel plate below measures 1 m x 0.5 m x 10 mm. Assume that the 1 m dimension is in the x-direction and the 0.5 m dimension is in the y-direction. The plate is made of a material with an elastic modulus of 200 GPa and Poisson's Ratio of 0.3. Suppose a uniform normal stress, Ox, of 125 MPa is applied in the x-direction a) Calculate the stress, ay, required to produce a transverse strain Ey 0 (in...
The figure on the left below shows a stress block (plane strain condition is assumed, z...
The figure on the left below shows a stress block (plane strain condition is assumed, z axis is not shown here). Its components as well as the material properties are, • 0,= 10 MPa . O, is currently unknown • Txy = 30 MPa • Young's Modulus E = 150 GPa • Poisson's Ratio V=-0.25 • Note: Poisson's Ratio is negative Rotate the x-y axes in the anticlockwise direction by 45° (as shown in the figure on the right below),...
Part A - Question 3 (Total Marks for Part A - Question 3:20) A steel beam...
Part A - Question 3 (Total Marks for Part A - Question 3:20) A steel beam in an industrial structure is part of a complicated frame that was difficult to analyse. Using a rectangular strain gauge rosette, the actual strains at point A have been recorded while being subjected to test loads. It is necessary to determine the normal stresses and shear stresses in the actual beam subject to the test loads to check whether the stresses assumed in the...
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...
Question 1 The 3-dimensional state of strain at a material point in x, y, z coordinates is given by: Calculate the volumetric strain and the deviatoric strain invariants a. b. Calculate the mean stress and the deviatoric stress tensor. Calculate the characteristic equation of strain. Calculate the characteristic equation of stress. c. d. The material is linear elastic (E-210GPa, v-0.3) (18 marks)
Question 1 The 3-dimensional state of strain at a material point in x, y, z coordinates is given...
need solution for milestones A Q1
Solid Mechanics 3 Assessment Task 1a - 2020 Milestone a Question 1. For each of the plane-stress conditions given below, construct a Mohr's circle of stress, find the principal stresses and the orientation of the principal axes relative to the xy axes and determine the stresses on an element, rotated in the x-y plane 60° counterclockwise from its original position: (a) dx = 200 MPa Oy - 300 MPa T .40 MPa (b) dx...
The 3D state of stress in a point of an elastic solid is given in the x-y-z coordinates by: 「200 200 01 [o] 1 200 300 01 Using the matrix transformation law, determine the state of stress at the same point for an element rotated in the x-y plane 30° anticlockwise about the z-axis from its original position. a. b. Calculate the stress invariants and write the characteristic equation for the original state of stress Calculate the deviatoric invariants for...
hello guys can u help me :)
Question 1. For each of the plane-stress conditions given below, using the matrix transformation law, determine the state of stress at the same point for an element rotated in the x-y plane 30° clockwise from its original position: (a) Ox = 200 MPa Oy = 400 MPa Txy = - 60 MPa (b) Ox = 300 MPa Oy = -180 MPa Txy = 320 MPa Question 2 my x2 The state of stress...
1. Consider the following displacement field in an isotropic linearly elastic solid descri terms of the Young's modulus E and Poisson's ratio v: (a) Determine the stress tensor (matrix), ) Is the state of stress a possible equilibrium stress field? Neglect body forces. 10 point 2. The assemblv shown in
1. Consider the following displacement field in an isotropic linearly elastic solid descri terms of the Young's modulus E and Poisson's ratio v: (a) Determine the stress tensor (matrix), )...
Please include all parts!
Problem 2: The state of stress at a point is given by 80 20 40 [a] 20 60 10|MPa 40 10 20 (a) Determine the strains using Young's modulus of 100 GPa and Poisson's ratio of 0.25 (b) Compute the strain energy density using these stresses and strains (c) Calculate the principal stresses and principal stress directions (can use the MATLAB command) (d) Write the strains calculated in (a) above in the form of strain matrixel...
The rectangular steel plate below measures 1 m x 0.5 m x 10 mm. Assume that the 1 m dimension is in the x-direction and the 0.5 m dimension is in the y-direction. The plate is made of a material with an elastic modulus of 200 GPa and Poisson's Ratio of 0.3. Suppose a uniform normal stress, Ox, of 125 MPa is applied in the x-direction a) Calculate the stress, ay, required to produce a transverse strain Ey 0 (in...
The figure on the left below shows a stress block (plane strain condition is assumed, z axis is not shown here). Its components as well as the material properties are, • 0,= 10 MPa . O, is currently unknown • Txy = 30 MPa • Young's Modulus E = 150 GPa • Poisson's Ratio V=-0.25 • Note: Poisson's Ratio is negative Rotate the x-y axes in the anticlockwise direction by 45° (as shown in the figure on the right below),...
Part A - Question 3 (Total Marks for Part A - Question 3:20) A steel beam in an industrial structure is part of a complicated frame that was difficult to analyse. Using a rectangular strain gauge rosette, the actual strains at point A have been recorded while being subjected to test loads. It is necessary to determine the normal stresses and shear stresses in the actual beam subject to the test loads to check whether the stresses assumed in the...
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