Given is the following stress tensor (values in MPa): 48 ay = ( ) Oij -4 62 culate the magnitudes of the principal stresses and the failure angle (0).
Q: The major and minor principal stresses are 3 MPa and -3MPA respectively. The maximum shear stress at…
A: Given data : Major principal stress=3 MPaMinor principal stress=-3 MPa
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Q: Principal stresses:σ1=31.69 MPa σ2=−30.56 MPa Maximum in−plane stress: σmax=31.69 MPa
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Q: The point A in the following plot represents: A or 0.5 -180 -90 90 180° -0.50, Graph of normal &…
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Q: of the shear stress from cartesian to spherical coordi ynamics of the tensor on a spherical…
A: Spherical coordinate system is prefered when it is needed to represent in spherical geometry.
Q: y 3D The state of stress at a point is given by oxx = -93 MPa, ayy = 69 MPa, ozz = 58 MPa, oxy = 0…
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Q: 10) For Newtonian fluids, the relation between the shear stress and the rate of deformation (du/dy)…
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Q: Thickness = 15 mm Find the stresses developed at point A 100 mm A ta 70 mm 180 mm 30 50 mm 500 N
A: Given: The thickness, t = 15 mm The width, b = 70 mm
Q: What is the magnitude of the having a radius of curvature o tensile stress of 140 MPa is ar 4.
A: 4. Given Normal stress = 140 MPa Crack length, a = 3.8 x 10-2 mm Radius of…
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A: (a) To find: The moment about x- axis. Given: The load in x direction is Px=14 kN. The load in y…
Q: a) The principal stresses for the given stress tensors. b) The directions of principal stresses. Г18…
A: For solution refer below images.
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Q: Sketch the distribution of shear stress across the diameter of the blood vessel.
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Q: 1. (a) If the displacement field is given by u kxy, u, = kxy, u, 2K(x + у)z where k is a constant…
A: u= ux= kxy v= uy= kxy w= uz= 2k(x+y)z Normal stress along X axis and X direction= εxx= du/dx= ky…
Q: 1: The inner and outer diameters of the pipe is 50 mm and 75 mm, respectively and it is made of cast…
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Q: the state of stress at a point can be described by óx=36 MPa and Txy= 17MPa a second coordinate…
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Q: Find the major principal stress, average normal stress and maximum shear stress for the following…
A: From the given Mohr's circle σx=80 MPaσy=-20 MPa
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Q: Please simply sketch the shear stress diagram 0.5 in. 0.6 in. 0.d in. / 0.8 in. 0.2 in. 0.6 in. ||B
A: GIVEN: To Sketch the Shear Stress Diagram.
Q: 1) The state of stress at a point in a body relative the xyz coordinate system is given by: - 30 25…
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Q: D = E ALMANSI GREEN VENANT STRAIN RATE TENSOR STRAIN HAMEL STRAIN TENSOR TENSOR
A: Yes it correct relationship that - 1. Strain rate tensor = green venant strain tensor
Q: 1) The state of stress at a point in a body relative the xyz coordinate system is given by: - 30 25…
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Q: Consider a state of stress given by O= 4 Ory = -2 Oxy = 4 Use Mohr's circle to determine the stress…
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Q: 0. A pressure vessel containing gas at 250 psi has an outer diameter of 12 inches and a thickness of…
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A: Given Data⇒ σx=500 MPaσy=300 MPaζxy=250 MPa
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A: INTRODUCTION: The maximal stresses acting inside the component and their position must be known for…
Q: Please find the question attached.
A: given: The value of principle stresses are 10 MPa , -10 MPa and 30 MPa for the given matrix.
Q: The stress tensor for a three-dimensional system for some x, y z axis system is 1. 30 20 -15] 30 MPa…
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A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…
Q: The stress tensor in MPa for a three-dimensional system for some x, y z axis system is 20 40 -30 40…
A: Given Data:Stress tensor in MPa of a three-dimensional system 2040-30403025-3025-10 σx=20 MPa, σy=30…
Q: Q#2: Explain the absolute maximum shear stress. Construct Tresca's hexagon by explaining all the…
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Q: (a) Summarize the stresses as they act on an element on the top surface of the pipe at point H with…
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Q: write the dimension (interms of MLT) of rate of shear strain: a. M° L°T -1 b. M' L-1 T-1 O. M1L-1 T2…
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Q: element is subjected to the stress shown on the 2D elemen according to the maximum energy of…
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- The state of stress on an element of material is shown in the figure. Calculate the unit volume change of the element if the stresses x and y. are -20 ksi and 10 ksi, respectively. Assume E = 10,600 ksi and v = 0.33.‘7.3-11 The stresses on an element are sx= -300 psi and sy= 600 psi. Find the maximum shear stresses on the element and show them on a sketch of a properly oriented clement.The stresses acting on a stress element on the arm of a power excavator (see figure) are ax= 52 MPa and txy= 33 MPa (sec figure). What is the allowable range of values for the stress if the maximum shear stress is limited to = 37 MPa?
- The stresses acting on an element are x= 750 psi, y= 600 psi, and xy = 400 psi. Determine the principal stresses and show them on a sketch of a properly oriented element.An element in plane stress on the fuselage of an airplane (figure part a) is subjected to compressive stresses with a magnitude of 42 MPa in the horizontal direction and tensile stresses with a magnitude of 9.5 MPa in the vertical direction (sec figure part b). Also, shear stresses with a magnitude of 15.5 MPa act in the directions shown. Determine the stresses acting on an element oriented at a clockwise angle of 40g from the horizontal. Show these stresses on a sketch of an element oriented at this angle.The stresses on an element are sx= 1000 Psi. sy= 500 psi, and txy= 350 psi. Find the stresses acting on an element oriented at an angle 0 = 250. Show these stresses on the rotated element.
- The strains for an element of material in plane strain (see figure) are as follows: x = 480 ×10-6. y = 140 × l0-6, and xy = —350 x 10”. Determine the principals strains and maximum shear strains, and show these strains on sketches of properly oriented elements.A strain rosette (see figure) mounted on the surface of an automobile frame gives the following readings: gage A,310 × 10-6:gage B,180 × l0-6; and gage C. -160 × 10-6. Determine the principal strains and maximum shear strains, and show them on sketches of properly oriented elements.The normal and shear stresses acting on element A are 6500 psi, 17,300 psi, and 2900 psi (see the figure b for Problem 7.2-5). Determine the maximum shear stresses and associated normal stresses and show them on a sketch of a properly oriented element.
- -26 A rectangular plate of dimensions 125 mm × 75 mm is subjected to tensile stress sy= 67 kPa and compressive stress a. If it is known that the normal stress along the diagonal t—t is ??t= -6.57 kPa, find stress ??y on element A. aCalcuate Shear and Bending From Point A to Point B and Point A to Point C. Draw a FBD from point A to point B and another for point A to C indicating what stresses are been calculate. Use the stress tensor and stress cube to Indicate what forces are acting at point A. Force apply at point B is 70lb Distacen from Point A to B is 12 in or 1 feet long Distacen from Point A to C is 3 in Handle diameter 0.625 inConsider the following plane stress state: Ox=30 MPa, y= -60 MPa, Txy= 30 MPa cw Calculate the following: 1. The coordinates of the center of the Mohr's circle C The location of the center of the Mohr's circle Cis ( 2. Principal normal stresses (01, 02) The principal normal stresses are σ₁ = 39.08 3. Maximum shear stress (7) The maximum shear stress is 54.08 MPa. 4. The angle from the x axis to 0₁ (p) The angle from the x axis to 0₁ (p) is -16.85 5. The angle from the x axis to 7 (s) The angle from the x axis to T (s) is 28.15 6. The radius of the Mohr's circle The radius of the Mohr's circle is 54.08. ✰ MPa. MPa and 02 = -69.08 MPa. O -15 MPa, CW CCW O MPa).