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The stress state in a body is given by the following matrix with reference to x-y-z...
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:...
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...
For x-1 and the given stress matrix What is the x-component of the traction vector acting...
For x-1 and the given stress matrix What is the x-component of the traction vector acting on a plane normal to the negative y axis
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) Given the following state of stress at a point in a continu 7 0 14...
1) Given the following state of stress at a point in a continu 7 0 14 [a] =| 08 01 MPa, 14 04 determine the principal stresses and principal directions 2) Find the principal stresses, maximum in-plane shear stresses, maximum shear stress, and the orientations of the principal stresses for the stress state given below. Comment on the orientations of the maximum in-plane shear stresses 12 9 01 [o9 -12 0 MPa. 0 0 6 2
Please show all work #1. Given a body in a state of plane stress with no...
Please show all work
#1. Given a body in a state of plane stress with no body forces where 0x = x’y and 0,= v^3y find in #2. What must be the value of the constant C in the expression for Oy for a state of plane stress to exist in a body with zero body forces and the stress components as defined below with oo a constant:
The state of plane stress at a point on a body can be depicted by the...
The state of plane stress at a point on a body can be depicted by the Mohr's circle below. Point X has coordinates(-18, 12) MPa and point Y has coordinates (-14,-12) MPa Determine the normal and shear stresses associated with a rotation of the stress element θ--26 Remember that a negative sign indicates a clockwise rotation and a positive sign indicates a counter-clockwise rotation. Note that you can use the Mohr's circle to obtain your answers graphically or you can...
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...
The state of stress at a point is shown on the element. Determine (a) the stress components acting on the inclined plan...
The state of stress at a point is shown on the element. Determine (a) the stress components acting on the inclined plane AB, (b) the principal stresses, and (c) the maximum in-plane shear stress and average normal stress at the point. Specify the orientation of the element in each case. Sketch the results on each element. 2 ksi 3 ksi 30° 4 ksi
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:...
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...
For x-1 and the given stress matrix What is the x-component of the traction vector acting on a plane normal to the negative y axis
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) Given the following state of stress at a point in a continu 7 0 14 [a] =| 08 01 MPa, 14 04 determine the principal stresses and principal directions 2) Find the principal stresses, maximum in-plane shear stresses, maximum shear stress, and the orientations of the principal stresses for the stress state given below. Comment on the orientations of the maximum in-plane shear stresses 12 9 01 [o9 -12 0 MPa. 0 0 6 2
Please show all work
#1. Given a body in a state of plane stress with no body forces where 0x = x’y and 0,= v^3y find in #2. What must be the value of the constant C in the expression for Oy for a state of plane stress to exist in a body with zero body forces and the stress components as defined below with oo a constant:
The state of plane stress at a point on a body can be depicted by the Mohr's circle below. Point X has coordinates(-18, 12) MPa and point Y has coordinates (-14,-12) MPa Determine the normal and shear stresses associated with a rotation of the stress element θ--26 Remember that a negative sign indicates a clockwise rotation and a positive sign indicates a counter-clockwise rotation. Note that you can use the Mohr's circle to obtain your answers graphically or you can...
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...
The state of stress at a point is shown on the element. Determine (a) the stress components acting on the inclined plane AB, (b) the principal stresses, and (c) the maximum in-plane shear stress and average normal stress at the point. Specify the orientation of the element in each case. Sketch the results on each element. 2 ksi 3 ksi 30° 4 ksi
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