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Question 9 The stress at a point in an engineering component is defined by the following...
1). It is found that the displacements in a component are described by x} + v(x*...
1). It is found that the displacements in a component are described by x} + v(x* – x3) VX, X2 XX3 u, (x), X2, X3) u, (x7, X2,x;) uz(X, X2, X3) = 2a where a and v are constants. Determine the strain components in the component. = a a 2). The strain tensor at a material point in a steel component is obtained from an FEA as -180 -242 0 E = -242 -3500 x 10-6 0 0 0 Assuming...
Question No. 01 The state plane of stress at a point is shown below; a) Determine...
Question No. 01 The state plane of stress at a point is shown below; a) Determine the in-plane principal stresses and orientation of the associated planes. Show the planes on a sketch b) Determine the maximum shear stress and absolute maximum shear stress. c) Determine the strain energy density associated with volume change if E 30,000 ksi and v 0.3 d) Check if yielding will occur using von Mises criterion and Tresca's theory. The yield strength of the material in...
1. Consider the stress tensor T at a particular point in a xyz Cartesian coordinate system....
1. Consider the stress tensor T at a particular point in a xyz Cartesian coordinate system. (30 T = 10 (15 10 15 -35 0 ksi 0 40) The material has a modulus of elasticity equal to 10 psi and a Poisson's ratio of 0.3. The principal stresses are 51, 20, and -37 ksi. (A) Determine the nine elements of the strain tensor € (in/in). (B) Determine the largest principal shear stress (ksi). (C) Determine the Von Mises stress (ksi)....
Q2. The state of stress on the surface of part of an engineering component is shown...
Q2. The state of stress on the surface of part of an engineering component is shown in Fig. 22. 94 MPa 51 MPa 25° 63 MPa Fig. Q2 - The State of Stress on the Surface of an Engineering Component (a) Using graph paper construct a Mohr's Stress Circle for the element and hence determine the magnitudes of the principal stresses and orientations of the principal planes. Clearly label these features on your diagram and sketch the state of stress...
The state of stress at a critical static location of a machine member, as determined by...
The state of stress at a critical static location of a machine member, as determined by strain gauge measurements, is shown on the stress element below. 1) Determine the maximum principle stress, the minimum principal stress, the maximum shear stress, the angle ??, and the angle ??. Note: use the Mohr's circle method from Chapter 4. 2) Determine the factor of safety for this machine member using the distortion energy yield criterion (Von-Mises) from Chapter 5, if the material is...
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 Shaft AB is supported at B by a roller support and at A by a pin support as well as a spline that prevents rotation around x axis. The diameter of the shaft is D. At cross s...
Question 1 Shaft AB is supported at B by a roller support and at A by a pin support as well as a spline that prevents rotation around x axis. The diameter of the shaft is D. At cross section A-A there is a relief groove where the minimum diameter is d. Two loads, F, and one torsion moment, T, are acted on the shaft. The material of the shaft is aluminum 7075, Sy = 495 MPa. Also known: L=630...
For the following bracket of ductile material, Rod . Draw the shear force and bending moment...
For the following bracket of ductile material, Rod . Draw the shear force and bending moment diagrams for the rod of length Find the maximum bending moment and the location of it. . Determine the bending stresses the points A and B . Determine the torsional stresses (Ttorsion) the points A and B .Show the 3-D stress tensors@ the points A and B (* You can ignore the transverse shear stresses for the stress tensors.) . Determine the principal stresses...
Question 1: The state of plane stress shown occurs at a critical point of a steel...
Question 1: The state of plane stress shown occurs at a critical point of a steel (@y 250MPa ) machine componenL 60 MPa Draw the Mohr's Cercle Determine the Principal Stresses Deternine the factor of safety with respect to yield, using (a) the maximum-shearing stress criterion, and (b) the maximum-distortion-energy criterion. 90 MPa 25 MPao
Question Four (15 marks) A cylindrical steel machine component is dynamically loaded with alternating torque and...
Question Four (15 marks) A cylindrical steel machine component is dynamically loaded with alternating torque and bending Maximum torque Max. bending moment as follows 40Nm (CW) -38 Nm Minimum torque Min. bending moment 175Nm (CCW), 238 Nm 500 MPa, Se = 280 MPa For the steel, Sut = 700 MPa, Sv = Assuming that o'm/a'a is constant, and that the design factor of safety for fatigue is 2.0 Estimate the diameter of the cylindrical component (a) (10 marks) 16T 32M...
1). It is found that the displacements in a component are described by x} + v(x* – x3) VX, X2 XX3 u, (x), X2, X3) u, (x7, X2,x;) uz(X, X2, X3) = 2a where a and v are constants. Determine the strain components in the component. = a a 2). The strain tensor at a material point in a steel component is obtained from an FEA as -180 -242 0 E = -242 -3500 x 10-6 0 0 0 Assuming...
Question No. 01 The state plane of stress at a point is shown below; a) Determine the in-plane principal stresses and orientation of the associated planes. Show the planes on a sketch b) Determine the maximum shear stress and absolute maximum shear stress. c) Determine the strain energy density associated with volume change if E 30,000 ksi and v 0.3 d) Check if yielding will occur using von Mises criterion and Tresca's theory. The yield strength of the material in...
1. Consider the stress tensor T at a particular point in a xyz Cartesian coordinate system. (30 T = 10 (15 10 15 -35 0 ksi 0 40) The material has a modulus of elasticity equal to 10 psi and a Poisson's ratio of 0.3. The principal stresses are 51, 20, and -37 ksi. (A) Determine the nine elements of the strain tensor € (in/in). (B) Determine the largest principal shear stress (ksi). (C) Determine the Von Mises stress (ksi)....
Q2. The state of stress on the surface of part of an engineering component is shown in Fig. 22. 94 MPa 51 MPa 25° 63 MPa Fig. Q2 - The State of Stress on the Surface of an Engineering Component (a) Using graph paper construct a Mohr's Stress Circle for the element and hence determine the magnitudes of the principal stresses and orientations of the principal planes. Clearly label these features on your diagram and sketch the state of stress...
The state of stress at a critical static location of a machine member, as determined by strain gauge measurements, is shown on the stress element below. 1) Determine the maximum principle stress, the minimum principal stress, the maximum shear stress, the angle ??, and the angle ??. Note: use the Mohr's circle method from Chapter 4. 2) Determine the factor of safety for this machine member using the distortion energy yield criterion (Von-Mises) from Chapter 5, if the material is...
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 Shaft AB is supported at B by a roller support and at A by a pin support as well as a spline that prevents rotation around x axis. The diameter of the shaft is D. At cross section A-A there is a relief groove where the minimum diameter is d. Two loads, F, and one torsion moment, T, are acted on the shaft. The material of the shaft is aluminum 7075, Sy = 495 MPa. Also known: L=630...
For the following bracket of ductile material, Rod . Draw the shear force and bending moment diagrams for the rod of length Find the maximum bending moment and the location of it. . Determine the bending stresses the points A and B . Determine the torsional stresses (Ttorsion) the points A and B .Show the 3-D stress tensors@ the points A and B (* You can ignore the transverse shear stresses for the stress tensors.) . Determine the principal stresses...
Question 1: The state of plane stress shown occurs at a critical point of a steel (@y 250MPa ) machine componenL 60 MPa Draw the Mohr's Cercle Determine the Principal Stresses Deternine the factor of safety with respect to yield, using (a) the maximum-shearing stress criterion, and (b) the maximum-distortion-energy criterion. 90 MPa 25 MPao
Question Four (15 marks) A cylindrical steel machine component is dynamically loaded with alternating torque and bending Maximum torque Max. bending moment as follows 40Nm (CW) -38 Nm Minimum torque Min. bending moment 175Nm (CCW), 238 Nm 500 MPa, Se = 280 MPa For the steel, Sut = 700 MPa, Sv = Assuming that o'm/a'a is constant, and that the design factor of safety for fatigue is 2.0 Estimate the diameter of the cylindrical component (a) (10 marks) 16T 32M...
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