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The 3D state of stress in a point of an elastic solid is given in the...
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...
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...
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...
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...
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...
Please draw each point PROBLEM 4 (25%) Given the following state of stress, 20 ksi 16...
Please draw each point
PROBLEM 4 (25%) Given the following state of stress, 20 ksi 16 ksi 8 ksi Given the following state of stress, using the Mohr's circle: Determine the principal normal stresses and show their sense on a properly oriented element, “PRINCIPAL STRESS”. Show stress invariance with the original stress condition. Find the maximum shear stress with their associate normal stresses and show the results on a properly oriented element, "MAX SHEAR STRESS”. Show stress invariance with the...
Question 1. For each of the plane-stress conditions given below, construct a Mohr’s circle of stress,...
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 x,y axes and determine the stresses on an element, rotated in the x-y plane 60° counterclockwise from its original position: (a) σx = 200 MPa σy = 300 MPa τxy = - 40 MPa (b) σx = 500 MPa σy = -80 MPa τxy = 400 MPa Question 2. For...
Example: 1.2 A wrench is made of steel (E=210 GPa, v=0.3) with elastic constants of strain...
Example: 1.2 A wrench is made of steel (E=210 GPa, v=0.3) with elastic constants of strain components for a state of plane stress at a critical point in the structure are calculated as 6, 50 x 10 = -75x10* 1 = 150 x 10"rad. a) Determine the complete strain and stress matrices in this state of stress, b) Determine the in-plane state of stress with rotating current coordinate system an angle of 45 degrees clockwise by applying either the transformation...
A state of plane stress consists of a tensile stress of ox=3 MPa, 0,=5 MPa, and...
A state of plane stress consists of a tensile stress of ox=3 MPa, 0,=5 MPa, and Txy=-7 MPa a. Draw the original unrotated element and the corresponding 2-D Mohr's circle construction showing the x-face and y-face coordinates. b. Calculate the principal stresses, 01 and 02 and their corresponding principal angles, 021,092 and show all of these on your Mohr's circle construction and a properly oriented stress element. c. Calculate the maximum shear stresses, ETmax and their corresponding angles of maximum...
The state of stress at a point on a body is given by the following stress...
The state of stress at a point on a body is given by the following stress components: 0 = 15 MPa, Oy = -22 MPa and Try = 9 MPa Matlab input: sx = 15; sy = -22; txy = 9; 1) Determine the principal stresses 01 and 02. 1 = MPa 02= MPa 2) Sketch the principal stress element, defined by the rotation @pl. y Enter the rotation @pi (-360º < Opl < 360°): Opl = Add stress components:...
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...
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...
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...
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...
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...
Please draw each point
PROBLEM 4 (25%) Given the following state of stress, 20 ksi 16 ksi 8 ksi Given the following state of stress, using the Mohr's circle: Determine the principal normal stresses and show their sense on a properly oriented element, “PRINCIPAL STRESS”. Show stress invariance with the original stress condition. Find the maximum shear stress with their associate normal stresses and show the results on a properly oriented element, "MAX SHEAR STRESS”. Show stress invariance with the...
Example: 1.2 A wrench is made of steel (E=210 GPa, v=0.3) with elastic constants of strain components for a state of plane stress at a critical point in the structure are calculated as 6, 50 x 10 = -75x10* 1 = 150 x 10"rad. a) Determine the complete strain and stress matrices in this state of stress, b) Determine the in-plane state of stress with rotating current coordinate system an angle of 45 degrees clockwise by applying either the transformation...
A state of plane stress consists of a tensile stress of ox=3 MPa, 0,=5 MPa, and Txy=-7 MPa a. Draw the original unrotated element and the corresponding 2-D Mohr's circle construction showing the x-face and y-face coordinates. b. Calculate the principal stresses, 01 and 02 and their corresponding principal angles, 021,092 and show all of these on your Mohr's circle construction and a properly oriented stress element. c. Calculate the maximum shear stresses, ETmax and their corresponding angles of maximum...
The state of stress at a point on a body is given by the following stress components: 0 = 15 MPa, Oy = -22 MPa and Try = 9 MPa Matlab input: sx = 15; sy = -22; txy = 9; 1) Determine the principal stresses 01 and 02. 1 = MPa 02= MPa 2) Sketch the principal stress element, defined by the rotation @pl. y Enter the rotation @pi (-360º < Opl < 360°): Opl = Add stress components:...
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