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The plane strain stress state has the following stress values at the critical point. = 265...
Problem 1 (10pts) The components of stress at a point are given as right. Compute the...
Problem 1 (10pts) The components of stress at a point are given as right. Compute the effective/von Mises stress o Also determine the components of stress vector T( σ/) if this stress acts on the plane 2x+ 3y-52-5 0. (Note, first find the unit normal vector to this surface.) σ- ,=13-2-31 MPa 1-32丿 Extra Credit (5pts) Find the three principal stresses for this state of stress. Also determine the "principal direction/vector' of the largest tensile principal stress.
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...
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
1. A large plate is fabricated from a steel alloy that has a plane strain fracture toughness of 8...
1. A large plate is fabricated from a steel alloy that has a plane strain fracture toughness of 82.4 MPavm. If the plate is exposed to a tensile stress of 345 MPa during service use, determine the minimum length of a surface crack that will lead to fracture. Assume a value of 1.0 for Y. Maximum stress at tip of elliptically shaped crack Pt 2Ery, 1/2 critical stress required for crack propagation in a brittle material πα KIe YoeVra Fracture...
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 state of plane stress at a point on a body is represented by the element...
The state of plane stress at a point on a body is represented by the element below. 16 MPa 24 MPa V Determine the equivalent state of plane stress on an element at the same point that is rotated by 0= -30°. Remember that a negative sign indicates a clockwise rotation and a positive sign indicates a counter-clockwise rotation. 0 = number (rtol=0.01, atol=1e-05) MPa ? Ty number (rtol=0.01, atol=1e-05) MPa ? Ta'y = number (rtol=0.01, atol=1e-05) MPa
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...
Problem 6 (15 points) The state of plane stress at a point is shown on the...
Problem 6 (15 points) The state of plane stress at a point is shown on the element in Figure 6. a. Using Mohr's circle, determine the principal stresses and the maximum in-plane shear stress and average normal stress. Specify the orientation of the element in each case. b. Represent the state of stress on an element oriented 30° counterclockwise from the position shown in Figure 6. 20 MPa 100 MPa 40 MPa Figure 6 (plot Mohr's circle on the next...
Question 15 (1 point) A material element is subjected to plane stress conditions. The stresses at...
Question 15 (1 point) A material element is subjected to plane stress conditions. The stresses at the point of interest are as follows (units of MPa are assumed): 0x =-87 Oy =36 Txy =-77 Determine the normal strain in the z-direction, Ex, in microstrain (to one decimal place). So if the value is 18.4 E-06, just enter "18.4". You may assume Young's modulus is 72 GPa and Poisson's ratio is 0.3 for this material.
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:...
Problem 1 (10pts) The components of stress at a point are given as right. Compute the effective/von Mises stress o Also determine the components of stress vector T( σ/) if this stress acts on the plane 2x+ 3y-52-5 0. (Note, first find the unit normal vector to this surface.) σ- ,=13-2-31 MPa 1-32丿 Extra Credit (5pts) Find the three principal stresses for this state of stress. Also determine the "principal direction/vector' of the largest tensile principal stress.
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...
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
1. A large plate is fabricated from a steel alloy that has a plane strain fracture toughness of 82.4 MPavm. If the plate is exposed to a tensile stress of 345 MPa during service use, determine the minimum length of a surface crack that will lead to fracture. Assume a value of 1.0 for Y. Maximum stress at tip of elliptically shaped crack Pt 2Ery, 1/2 critical stress required for crack propagation in a brittle material πα KIe YoeVra Fracture...
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 state of plane stress at a point on a body is represented by the element below. 16 MPa 24 MPa V Determine the equivalent state of plane stress on an element at the same point that is rotated by 0= -30°. Remember that a negative sign indicates a clockwise rotation and a positive sign indicates a counter-clockwise rotation. 0 = number (rtol=0.01, atol=1e-05) MPa ? Ty number (rtol=0.01, atol=1e-05) MPa ? Ta'y = number (rtol=0.01, atol=1e-05) MPa
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...
Problem 6 (15 points) The state of plane stress at a point is shown on the element in Figure 6. a. Using Mohr's circle, determine the principal stresses and the maximum in-plane shear stress and average normal stress. Specify the orientation of the element in each case. b. Represent the state of stress on an element oriented 30° counterclockwise from the position shown in Figure 6. 20 MPa 100 MPa 40 MPa Figure 6 (plot Mohr's circle on the next...
Question 15 (1 point) A material element is subjected to plane stress conditions. The stresses at the point of interest are as follows (units of MPa are assumed): 0x =-87 Oy =36 Txy =-77 Determine the normal strain in the z-direction, Ex, in microstrain (to one decimal place). So if the value is 18.4 E-06, just enter "18.4". You may assume Young's modulus is 72 GPa and Poisson's ratio is 0.3 for this material.
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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