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Question 1 The 3-dimensional state of strain at a material point in x, y, z coordinates is given ...
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...
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...
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...
3 ) Consider a small Ax by Ay material element in a thin plate. The state...
3 ) Consider a small Ax by Ay material element in a thin plate. The state of stress in the plate is specified by four components ơxx, Ơyy and Ơxy-o,r, and the state of strain is specified by Exx. Eyy and Exy Eyx. The other components are zero. Let the x-component of the body force acting on the body be Fx, show that the equation of equilibrium for the element in the x-direction is (ii) Given the constitutive relation between...
Please answer quickly will rate highly Problem 2-(20 points) The 2-dimensional stress state at a material...
Please answer quickly will rate highly
Problem 2-(20 points) The 2-dimensional stress state at a material point normal and shear stresses acting on it: on the surface of a piece of machinery has the following 4 10 ksi 8 ksi 12 ksi 50° y Find the length change per unit length (normal strain) of the dashed line. E = 10,000 ksi and v = 0.25.
Problem 2-(20 points) The 2-dimensional stress state at a material point normal and shear stresses...
Imagine a 3-dimensional world with coordinates that are labeled with x, y, and z, as if...
Imagine a 3-dimensional world with coordinates that are labeled with x, y, and z, as if you are in a room with walls, ceiling and floor. The edges are x, y and z with z up toward the ceiling, the flat plane floor is x-y. Starting at the origin, go along "x" 2 meters. Then go parallel to "y" 3 meters. Then go up parallel to "z" 2 meters. This point is somewhere in the room above the floo What...
The state of strain at the point on the bracket has components ϵ x= -130(10-6), ϵ y=...
The state of strain at the point on the bracket has components ϵ
x= -130(10-6), ϵ y= 280(10-6), and
γ x y= 75(10-6).
Determine the principal stress, σ 1 in MPa at the point.
Determine the principal stress, σ 2 in MPa at the point.
Assume E = 200 GPa, and ν= 0.3.
1 х
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...
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...
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...
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...
3 ) Consider a small Ax by Ay material element in a thin plate. The state of stress in the plate is specified by four components ơxx, Ơyy and Ơxy-o,r, and the state of strain is specified by Exx. Eyy and Exy Eyx. The other components are zero. Let the x-component of the body force acting on the body be Fx, show that the equation of equilibrium for the element in the x-direction is (ii) Given the constitutive relation between...
Please answer quickly will rate highly
Problem 2-(20 points) The 2-dimensional stress state at a material point normal and shear stresses acting on it: on the surface of a piece of machinery has the following 4 10 ksi 8 ksi 12 ksi 50° y Find the length change per unit length (normal strain) of the dashed line. E = 10,000 ksi and v = 0.25.
Problem 2-(20 points) The 2-dimensional stress state at a material point normal and shear stresses...
The state of strain at the point on the bracket has components ϵ
x= -130(10-6), ϵ y= 280(10-6), and
γ x y= 75(10-6).
Determine the principal stress, σ 1 in MPa at the point.
Determine the principal stress, σ 2 in MPa at the point.
Assume E = 200 GPa, and ν= 0.3.
1 х
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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