Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical planes at the point are shown. Assume stress magnitudes of Sy = 210 MPa, Sy = 150 MPa. Sy Construct Mohr's circle for this state of stress on paper and use the results to answer the questions in the subsequent parts of this GO exercise.
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Q: 2.2. The stress at a point is defined by the components Oxy =7 ksi, oyy=10 ksi, Ory =-20 ksi. Sketch…
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Q: Current Attempt in Progress Mohr's circle is shown for a point in a physical object that is…
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Q: A member is subjected to a major stress of 110 MPa (tensile), minor stress of 40 MPa (compressive)…
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Q: Mohr's circle is shown for a point in a physical object that is subjected to plane stress, Each grid…
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Q: In relation to Mohr's Circle which shows the relationship between normal and shear stress, at what…
A: we already know that the principal plane or maximum…
Q: 4 ksi The state of plane stress at a point is shown on the element. (a) Draw Mohr's circle neatly to…
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Q: 7. The state of stress of an element is given. Determine its principle plane by the specialized…
A: Given Data⇒ σx=24 MPa (Tensile)σy=-38 MPa (Compressive)ζxy=38 MPa
Q: Determine the equivalent state of stress if an element is oriented 20° clockwise from the element…
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Q: Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses…
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Q: The state of plane stress at a point with respect to the xy-axes is shown in Fig. (a). Using Mohr's…
A: Calculated the principal stress and principal planes, maximum in-plane shear stress and calculated…
Q: 10 MPа 4 ksi 10 MPа 4 ksi 10 MPа 2 ksi
A: Mohr circle is a graphical method to determine principal stresses. It's plotted on a graph between…
Q: Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses…
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Q: 2. At a point in a brocket, the stresses on two mutually perpendicular planes are 180 MN/m?…
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Q: Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid…
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Q: For the given state of stress below, 1- determine the principal stresses, the in-plane maximum shear…
A: here, for first part use the principal stress and max. shear stress equation. for 2nd and 3rd parts,…
Q: For the shown element, what are the principal stresses and their orientations (ew, cew), draw the…
A: (a) To find: The principle stress and the orientation of principle stress Given: The stress in…
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Q: Mohr's circle for an element is shown, each grid is 5 MPa square. A rotated plane through the…
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Q: QITHE state of plane stress at a point is represented by the stress element below: A. Draw the…
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Q: Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid…
A: To study the given mohr's circle and determine the given stresses.
Q: (tensile), minor stress of 40 MPa (tensile) along with a counter clockwise shear stress of 30 MPa.…
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Q: Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid…
A: Given: The size of grid square, x = 500 psi
Q: or this 2D state of stress. stresses, the maximum in-plane shear al stresses acting at this point.…
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Q: [I'wo forces are applied on the beam shown below. (a) Determine the normal and shear stresses point…
A: convert lb to kN 500 lb = 2.24 kN 400 lb = 1.78 kN convert inc to mm 1 in = 25.4 mm 10 in = 254 mm…
Q: QI/ For the state of plane stress shown below, construct a Mohr's circle and determine (a) the…
A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…
Q: Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid…
A: GIVEN :Mohr's circle : Which represents the stresses at a point in an object, that point is…
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Q: a) Determine the equivalent normal-stress component ox' on an element at the same point oriented 45°…
A: Given:σy=-430KPaζxy=-300KPa
Q: QLESTION FOUR Demo dimensional state of stress for a point on a given structural component is given…
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Q: Given the stress cube below, represent the Mohr Circle, demonstrating the steps following: a)…
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Q: 3. Listed below is a combination of stresses acting at a point and referred to axes x and y in an…
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Q: Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid…
A: Given data as per question Each grid slide=16 MPaFor a point in a physical object that is subjected…
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Q: The state of stress at a point for a given reference xyz is given by the following array of terms :…
A: INTRODUCTION: The maximal stresses acting inside the component and their position must be known for…
Q: Determine (a) the principal stresses, and (b) the maximum in-plane shear stress and the associated…
A: Givenσx=-23ksiσy=18ksiτ=7ksi
Q: 50 MPа B 80 MРа 80 MPа A 25 MPа 50 MPа
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Q: Explain the method of representing the combination of normal and shear stresses acting on any plane…
A: Let us take an incremental stressed element from any member.
Q: Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid…
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Q: Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid…
A: We can answer the first part because it is already has 3 unknowns so we will answer the part (a).…
Q: (a) The plane stress at a point with respect to x-y-axes is shown in Fig. Q1(a). By using…
A: according to the given details:
Q: In 2D XY-plane-stress analysis, how many stress components you need to calculate. Please write/show…
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Q: Given sigma x=100 MPa, tau xy=50 MPa, determine stresses at an angle 30 degrees CW from x-axis.
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- A thin square plate in biaxial stress is subjected to stresses ?? and ??., as shown in part a of the figure. The width of the plate is h = 12.0 in. Measurements show that the normal strains in the x and v directions are s = 427 × 10-6 and s = 113 × l0-6, respectively. With reference to part b of the figure. which shows a Iwo-dimensional view of the plate. determine the following quantities. (a) The increase .d in the length of diagonal Oil. (b) The change . in the angle between diagonal Oti and the x axis, (c) The shear strain y associated with diagonals Oil and cf(that is. find the decrease in angle ced).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.2. At a point in a brocket, the stresses on two mutually perpendicular planes are 180 MN/m? (tensile) and 70 MN/m2 (Compressive). The shear stress across the planes is 65 MN/m2. Find the following by Mohr's Circle method and compare with Analytical solutions: (i)The Normal stress on a plane making an angle of 50° with the plane of first stress. (ii)Shear stress on the plane (iii) Maximum shear stress (iv) Resultant stress and it's direction. (v) Major and minor principal stresses.
- To determine the normal and shear stresses on the indicated plane, we must first determine the orientation of the inclined plane relative to the x face of the stress element. Determine the magnitude of the counterclockwise angle between the x face and the inclined plane. Assume Sx = 170 MPa, Sy = 105 MPa, Sxy = 85 MPa, and ß = 65°. Sx Sxy В Sy Answer: 0 = 25 X O'(a) Construct Mohr's circle for an element in a uniaxial state of stress (b) Use this Mohr's circle to derive the equation for the normal stress On and shear stress En on the n-face. The equations should depend on Ox and θ (c) Use the Mohr's circle to determine the planes on which the maximum shear stress acts. Sketch a properly oriented maximum-shear-stress element and indicate the normal and shear stresses acting on its faces. Ơn nt o, Note: for (b), the angle θ is between 0 and 90° and is positiveThe stresses acting on element A in the web of a train rail are found to be 'X (MPa)' tension in the horizontal x-direction and 'Y (MPa)' compression in the vertical y-direction. Also, shear stresses of magnitude 'S (MPa)' act in the directions shown in the figure. Draw Mohr's circle for the state of stress. Determine the stresses (Ox', Oy' and Txy') acting on an element oriented at an angle 'D' from the horizontal Show these stresses on a sketch of an element oriented at this angle X=45MPA,Y=150MPA,S=52MPA,D=-40 Degree
- Calcuate Torsion From Point A to Point C and Bending from Point A to Point B and from 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 inIn an elastic body system, a point has the following state of stress components, Ox= 16 kPa, Oyy = 12 kPa, Oz = 4 kPa, Txy = 4 kPa, Tz = 8 kPa, Tyz = 2 kPa. Without using Mohr's circle calculate: (A) The principal stresses (01, 02, 03) (B) Based on the principal stresses, calculate the maximum shear stress (Tmas) Construct Mohr's circle for XY plane, and determine the following: (C) The stress components with respect to ab axes which are inclined at 0 =45 to the XҮ ахes. (D) The magnitude of the maximum shearing stress and associated normal stresses. (E) For Mohr's Circle drawingCalcuate torsion From Point A to Point C, Calcuate 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 in
- Problem 2: A state of plane stress at a point on the surface of a structure consists of the following stress components: Ox = 18 ksi, oy = 24 ksi, and Txy = 15 ksi. Note that the stress components act in the directions shown on the element below. Ox Txy 24 ksi бу 18 ksi 15 ksi (a) Draw a complete Mohr's circle for this stress state. Clearly label the X and Y faces, the center C, and the radius R. (b) Using Mohr's circle, determine the stress components Ox, Oy, and Txy on an element rotated 25° counter-clockwise from the original element shown. Label all of these quantities on the circle. (c) Show all stresses from part (b) on a properly oriented stress element. Be sure to include all stress components acting on the element.1. For the two cases i.e. (a) 2D and (b) 3D shown below, find the principal stresses, maximum shear stresses and directions by using Mohr’s circle. Support your answers with diagrams. 41 GOMPa 60MPR Txy=40MPA 40MPA (a) (b)Consider the plane stress element shown in representing the state of stress at a material point. If the magnitudes of the stresses are such that ox 210 Pa, oy = 110 Pa, and = - Txy = 70 Pa, calculate the magnitudes of principal stresses oj and 02, and the maximum shear stress, Tmax, generated at %3D this material point. (a) Record here the the positive of the two principle stresses. (b) Record here the the negative of the two principle stresses. (c) Record here the the maximum shear stress. Tyz Oy