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Q.2. Given the following stress state at a point, all in MPa, 0 = 100,0y =...
The state of stress at a point is given by [100 60 T 60 -50 0 (MPa) T 0 75 The yield stress in te...
The state of stress at a point is given by [100 60 T 60 -50 0 (MPa) T 0 75 The yield stress in tension is 350 MPa a. Find the value of T for a margin of safety of 0.12 according to the distortion energy theory of failure. b. For the value of τ found in part (a), what is the margin of safety according to the maximum shear stress theory of failure?
The state of stress at a...
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:...
Consider the state of stress in where Ty 36.7 MPa Solve the problem using the method...
Consider the state of stress in where Ty 36.7 MPa Solve the problem using the method of equilibrium. 60 MPa A 80 MPa 50 В Part A Determine the normal stress component acting on the inclined plane AB Express your answer to three significant figures and include the appropriate units. ? HA Value Units Request Answer Submit Part B Determine the shear stress component acting on the inclined plane AB Express your answer to three significant figures and include the...
Question 3 If the state of stress (in unit of MPa) at a point in a...
Question 3 If the state of stress (in unit of MPa) at a point in a body is given as follows Figure 1 95x + 2y, , 10x + 10y2: o, y2 + 2 + 50; y= x+yIya = 0, T determine the body forces to satisfy the equilibrium equations ºyº *) Determine the direction cosines at a point P (2,121 h) Determine the normal stress resultant stress and shear stress on the plane whose normal is 21.2) (6 Marks)...
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
Consider the given state of stress. Take X = 10 MPa and Y = 45 MPa....
Consider the given state of stress. Take X = 10 MPa and
Y = 45 MPa.
Determine the principal planes using Mohr's circle. a) The
principal planes are at − ° and °.
Determine the principal stresses using Mohr's circle. b)The
minimum principal stress is − MPa, and the maximum
principal stress is MPa.
Determine the orientation of the planes of maximum in-plane
shearing stress using Mohr's circle. c) The orientation of the
plane of maximum in-plane shearing stress in the first quadrant
is °....
Please use Mohr's circle to solve this problem. For the state of stress shown, determine the...
Please use Mohr's circle to solve this
problem.
For the state of stress shown, determine the value of Txy for which the maximum shearing stress is 79 MPa. (Round the final answer to two decimal places.) 70 MPa ty 120 MPa The value of w is ± MPa
0 The state of stress at a point in a body is specified by the following...
0 The state of stress at a point in a body is specified by the following stress components: = 110MPa = 60MPa , = -86 MPa 0 = 55 MPa Determine the principal stresses, direction cosines of the principal stress directions and the maximum shearing stress.
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
For the given state of stress, determine (a) the principal planes, (b) the principal stresses 0 MPa 35MPa 0 MP
For the given state of stress, determine (a) the principal planes, (b) the principal stresses 0 MPa 35MPa 0 MP
The state of stress at a point is given by [100 60 T 60 -50 0 (MPa) T 0 75 The yield stress in tension is 350 MPa a. Find the value of T for a margin of safety of 0.12 according to the distortion energy theory of failure. b. For the value of τ found in part (a), what is the margin of safety according to the maximum shear stress theory of failure?
The state of stress at a...
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:...
Consider the state of stress in where Ty 36.7 MPa Solve the problem using the method of equilibrium. 60 MPa A 80 MPa 50 В Part A Determine the normal stress component acting on the inclined plane AB Express your answer to three significant figures and include the appropriate units. ? HA Value Units Request Answer Submit Part B Determine the shear stress component acting on the inclined plane AB Express your answer to three significant figures and include the...
Question 3 If the state of stress (in unit of MPa) at a point in a body is given as follows Figure 1 95x + 2y, , 10x + 10y2: o, y2 + 2 + 50; y= x+yIya = 0, T determine the body forces to satisfy the equilibrium equations ºyº *) Determine the direction cosines at a point P (2,121 h) Determine the normal stress resultant stress and shear stress on the plane whose normal is 21.2) (6 Marks)...
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
Consider the given state of stress. Take X = 10 MPa and
Y = 45 MPa.
Determine the principal planes using Mohr's circle. a) The
principal planes are at − ° and °.
Determine the principal stresses using Mohr's circle. b)The
minimum principal stress is − MPa, and the maximum
principal stress is MPa.
Determine the orientation of the planes of maximum in-plane
shearing stress using Mohr's circle. c) The orientation of the
plane of maximum in-plane shearing stress in the first quadrant
is °....
Please use Mohr's circle to solve this
problem.
For the state of stress shown, determine the value of Txy for which the maximum shearing stress is 79 MPa. (Round the final answer to two decimal places.) 70 MPa ty 120 MPa The value of w is ± MPa
0 The state of stress at a point in a body is specified by the following stress components: = 110MPa = 60MPa , = -86 MPa 0 = 55 MPa Determine the principal stresses, direction cosines of the principal stress directions and the maximum shearing stress.
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
For the given state of stress, determine (a) the principal planes, (b) the principal stresses 0 MPa 35MPa 0 MP
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