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From the loading shown, determine the stress(es) at point A. Use the provided coordinate system. Also,...
For the joint and loading shown, determine the stress states at points A and B on...
For the joint and loading shown, determine the stress states at
points A and B on section-aa, and the principle stresses at point
A. The free-body diagram including section-aa is given below for
your convenience. Section-aa has a rectangular cross-section area
of thickness 12 mm (shown) and width 18 mm. a) Sketch each stress
state using a square stress element. b) Determine the principle
stresses at point A (no need to sketch the stress
element).
Problem 1: (25%) For the...
For the stress state shown, use Mohr's Circle to determine the following:
For the stress state shown, use Mohr's Circle to determine the following: (a) Principal stresses σ1 and σ2, the associated shear stress τx'y', and the element orientation θp. Clearly indicate magnitude and direction. (b) Maximum in-plane shear stress τmax,in plane , the associated normal stresses σx' and σy', and the element orientation θs. Clearly indicate magnitude and direction. (c) Absolute maximum shear stress τmax,absolute · Show all work using Mohr's Circle. If your drawings do not indicate that you used Mohr's Circle appropriately, you...
1. Sketch stress distribution in the cross-sections (defined by the dashed-lines) for the following loading cases....
1. Sketch stress distribution in the cross-sections (defined by the dashed-lines) for the following loading cases. If there are both normal and shear stresses, sketch them separately. Also indicate the subscripts for each stress component you sketch, according to the given coordinate system. a) Uni-axial (2pts) b) Torsion (2pts) (for this case use cylindrical coordinate to determine the subscripts of the shear stress, axial direction x-axis, radial direction r, and circumferential direction e.) C) Transverse loading 1 (3pts) d) Transverse...
2. For the box beam with loading shown, (a) determine the state of stress in the...
2. For the box beam with loading shown, (a) determine the state of stress in the x-y plane at points A and B and indicate on square differential elements oriented with x and y; (b) represent the state of stress on Mohr's circle for both points and identify the principal stresses and maximum in- plane shear stress; (c) show the principal stress orientation of the reference frame by rotating the square differential element for both points. 1200 lb 800 lb...
Use the Mohr circle shown on the right to answer the questions below. 20 B (a)...
Use the Mohr circle shown on the right to answer the questions below. 20 B (a) Determine the state of stress (0.0, Ty) [ksi] depicted in the drawing of Mohr's circle. (b) Find the principle stresses (01. o:) [ksi) and the respective angles of principle stress (0.0,). (c) Calculate the maximum shear stress (Ima) [ksi) and the angles of maximum shear stress (0.1.0.). 20 40 60 01 σω) 20p --20 4 T|
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)....
Create stress mohr circle based on these values and determine principal stress and maximum shear stress....
Create stress mohr circle based on these values and determine
principal stress and maximum shear stress. Also describe the
loading condition that produced these data. Determine the strain is
present if stressx= 100MPa, stressy= -50MPa, stressxy= 30MPa.
Assume aluminum alloy
Hooke's Law The free-surface of a structure is in plane stress if gravity and other body forces are neglected. Because there are 3 unknowns (σ, oy, t»), 3 measurements are generally required in order to determine the stress or strain...
Please use the numbers provided in the problem statement. Also, if you could show all formulas/equations...
Please use the numbers provided in the problem
statement. Also, if you could show all formulas/equations used that
would be great! Thank you so very much!
Please use the numbers
provided in the problem statement. Also, if you could show all
formulas used that would be great! Thank you so very
much!
For vertical flexural member BD, determine the principal stresses o, i > ?p2) and the maximum shear stress ? as acting at point H as shown. Show these...
1. Use the following tited coordinate system to deduce the plane-stress t transformation equations: (40 pts)...
1. Use the following tited coordinate system to deduce the plane-stress t transformation equations: (40 pts) 2 dy d: dx Use the transformation equations to find and draw the principal stresses and maximum shear stresses and directions. (40 pts) 2. 50 MPa 30 MPa 100 MPa
For the joint and loading shown, determine the stress states at
points A and B on section-aa, and the principle stresses at point
A. The free-body diagram including section-aa is given below for
your convenience. Section-aa has a rectangular cross-section area
of thickness 12 mm (shown) and width 18 mm. a) Sketch each stress
state using a square stress element. b) Determine the principle
stresses at point A (no need to sketch the stress
element).
Problem 1: (25%) For the...
For the stress state shown, use Mohr's Circle to determine the following: (a) Principal stresses σ1 and σ2, the associated shear stress τx'y', and the element orientation θp. Clearly indicate magnitude and direction. (b) Maximum in-plane shear stress τmax,in plane , the associated normal stresses σx' and σy', and the element orientation θs. Clearly indicate magnitude and direction. (c) Absolute maximum shear stress τmax,absolute · Show all work using Mohr's Circle. If your drawings do not indicate that you used Mohr's Circle appropriately, you...
1. Sketch stress distribution in the cross-sections (defined by the dashed-lines) for the following loading cases. If there are both normal and shear stresses, sketch them separately. Also indicate the subscripts for each stress component you sketch, according to the given coordinate system. a) Uni-axial (2pts) b) Torsion (2pts) (for this case use cylindrical coordinate to determine the subscripts of the shear stress, axial direction x-axis, radial direction r, and circumferential direction e.) C) Transverse loading 1 (3pts) d) Transverse...
2. For the box beam with loading shown, (a) determine the state of stress in the x-y plane at points A and B and indicate on square differential elements oriented with x and y; (b) represent the state of stress on Mohr's circle for both points and identify the principal stresses and maximum in- plane shear stress; (c) show the principal stress orientation of the reference frame by rotating the square differential element for both points. 1200 lb 800 lb...
Use the Mohr circle shown on the right to answer the questions below. 20 B (a) Determine the state of stress (0.0, Ty) [ksi] depicted in the drawing of Mohr's circle. (b) Find the principle stresses (01. o:) [ksi) and the respective angles of principle stress (0.0,). (c) Calculate the maximum shear stress (Ima) [ksi) and the angles of maximum shear stress (0.1.0.). 20 40 60 01 σω) 20p --20 4 T|
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)....
Create stress mohr circle based on these values and determine
principal stress and maximum shear stress. Also describe the
loading condition that produced these data. Determine the strain is
present if stressx= 100MPa, stressy= -50MPa, stressxy= 30MPa.
Assume aluminum alloy
Hooke's Law The free-surface of a structure is in plane stress if gravity and other body forces are neglected. Because there are 3 unknowns (σ, oy, t»), 3 measurements are generally required in order to determine the stress or strain...
Please use the numbers provided in the problem
statement. Also, if you could show all formulas/equations used that
would be great! Thank you so very much!
Please use the numbers
provided in the problem statement. Also, if you could show all
formulas used that would be great! Thank you so very
much!
For vertical flexural member BD, determine the principal stresses o, i > ?p2) and the maximum shear stress ? as acting at point H as shown. Show these...
1. Use the following tited coordinate system to deduce the plane-stress t transformation equations: (40 pts) 2 dy d: dx Use the transformation equations to find and draw the principal stresses and maximum shear stresses and directions. (40 pts) 2. 50 MPa 30 MPa 100 MPa
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