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 Sx = 210 MPa, Sxy = 150 MPa. Sey 5 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.
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: Figure Q2 shows that state of stress at a point within a loaded body consists of a combination of…
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Q: For the state of stress given below, a) Determine principal stresses and principal planes b)…
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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: A same circular plate with radius of Ro-560mm and thickness of h=7.42mm is considered here again.…
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Q: Q2) Enumerate variuos scenarios/cases of non-uniform stress distribution in solids. Explain with the…
A: Solution:
Q: The state of stress at a point in a member is shown on the element. Suppose that σx = -50 MPa , σy =…
A: σX=-50MPaσy=-120MPaζxy=-30MPa All stresses are compressive Formula for shear stresses:-…
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: The principal stresses at a point across two mutually perpendicular planes are 70 MN/m2 tension and…
A: Mohr's Circle
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: 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: Consider the plane stress element shown in representing the state of stress at a material point. If…
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Q: Consider a point in a structural member that is subjected to plane stress. Normal and shear stress…
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Q: - The state of plane stress at a point is shown on the element in Figure below. Represent this state…
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Q: The principal stresses at a point across two mutually perpendicular planes are 70 MN/m2 tension and…
A: Given:- σx=70 MN/m2σy=50 MN/m2τxy=30MN/m2θ=30° To find:- The magnitude of the normal, tangential,…
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: Q3/ Using Mohr's circle find out the principle stresses and the maximum shear stress and the stress…
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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: Q.1) For the state of stress shown below, use stress transformation equations to determine the…
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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…
Q: The stresses shown act at a point on the free surface of a stressed body. Normal and shear stress…
A: Given that, Normal stress in x-direction, σx=80 MPa,Normla stress in y-direction, σy=-40 MPa,Shear…
Q: At a point in a component, the state of stress is shown on the element below. Assume that the stress…
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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 stresses on an element are o, = -300 psi and o „=-600 psi. Find the maximum shear stresses on…
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Q: The state of stress at a point under plane stress condi- tion is o = 20 MPа, о, = 50 MPa and t = 20…
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Q: The strain rosette shown was used to obtain normal strain data at a point on the free surface of a…
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Q: Determine magnitude of the stresses acting on plane inclined at an angle 0 = 30°, where the vertical…
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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: [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: The stresses shown act at a point on the free surface of a stressed body. Normal and shear stress…
A: Given: Applied stresses are: Sx = 80 MPa, Sy = 40 MPa, and Sxy = 75 MPa Angle is β=51∘.
Q: For the element shown below, determine: 1- The principal stresses and the maximum in-plane shear…
A: A perpendicular force applied on a body per unit area is referred to as stress. There are three…
Q: Consider the 2-D state of stress shown below. Using the provided scales graph the Mohr's Circle for…
A: Solution: All the parts have been answered below with necessary explanation:
Q: Consider the following plane stress state: Oх- 40 MPа, дy- 30 МРа, Тҳу— 20 MРа ссw Calculate the…
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Q: At a point on the flat surface of a member, load-stress relations give the following stress…
A: GIVEN: σxx=100 MPaσyy=0σzz=100 MPa τxy=20 MPaτxz=0τyz=20 MPa To find the principle stress σ2 and its…
Q: 2. For the state of plane stress given, determine the principal planes, the principal stresses and…
A: givenstress in x direction σx=100MPa tensile stress in y direction σy=-60MPa compressive shear…
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…
Q: For the loading shown on the L-shaped part, determine the state of stress at points a, b, and c.…
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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: The stress components at a point in a plate are o, = 70 MPa, oy = 50 MPa, z= 30 MPa, ơy = 10 MPa,…
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Q: At a point in a given material the three dimensional state of stress is given by ox oy oz = 10 MPa…
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Q: Q2) Look at the Mohr Circle and find (the scale is 1 cm-10 MPa) 1. Normal and shear stress at points…
A: Since we only solve upto three subparts at a time, we will solve the first three. Please specify the…
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: 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: At a point in a piece of elastic material, direct stresses of 92 MN/m2 tensile and -49 MN/m2…
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Q: For horizontal flexural member AB, determine the principal stresses and the maximum shear stress…
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Q: Mohr's Circle The major and minor principal stresses acting at a point are 80 psi compression and 20…
A: A) To Draw : The Mohr's circle for this stress combination. Given: The major principal stress…
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- -27 A square plate with side dimension of 2 in. is subjected to compressive stress a and tensile stress The stresses on element A oriented at angle ?? x1=45° aresy1= 75 psi. tx1y1= 275 psi. . Find the state of stress on the element lilt is rotated clockwise to align the x3 axis with the horizontal x axis.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 polyethylene liner of a settling pond is subjected to stresses ax= 350 psi. a = 112 psi. and = -120 psi, as shown by the plalte-stress element in the figure part a. Determine the normal and shear stresses acting on a seam oriented at an angle 01300 to the element, as shown in the figure part b. Show these stresses on a sketch of an element having its sides parallel and perpendicular to the seam.At a point on the surface of an elliptical exercise machine, the material is in biaxial stress with t = 1400 psi and trv = —900 psi, as shown in the figure part a. The figure part b shows an inclined plane aa cut through the same point in the material but oriented at an angle ft Determine the value of the angle 6 between zero and 90° such that no normal stress acts on plane aa. Sketch a stress clement having plane aa as one of its sides and show all stresses acting on the clement-18 through 7.3-22 An element in plane stress (see figure) is subjected to stresses o, a., and (a) Determine the principal stresses and show them on a sketch of a properly oriented element. (b) Determine the maximum shear stresses and associated normal stresses and show them on a sketch of a properly oriented element. 7.3-18 a=2I50kPa, ay=375kPa.Txy.=-460kPa
- Solve the preceding problem for an element in plane stress on the bottom surface of a fuel tanker (figure part a); stresses are sx= 105 MPa, sy. = 75 MPa, and ??xy= 25 MPa. Determine the stresses acting on an element oriented at an angle ?? = 40° from the x axis, where the angle is positive when counterclockwise. Show these stresses on a sketch of an element oriented at the angle ??.A brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded in biaxial stress by normal stresses r and cry. (sec figure). A strain gage is bonded to the plate at an angle 4 = 350 If the stress o is 10,700 psi and the strain means used by the gageise = 390 X 106.whatisthcmax- imum in-plane shear stress (Tr, ),. and shear strain (>‘ ).? What is the maximum shear strain (y ) in the x-: plane? What is the maximum shear strain (y ).. in the y-r plane?.4-2 An element in uniaxial stress is subjected to tensile stresses sx= 57 MPa. as shown in the figure. Using Mohr’s circle, determine the following. (a) The stresses acting on an clement oriented at an angle 0 = 33° from the x axis (minus means clockwise). (b) The maximum shear stresses and associated normal stresses. Show all results on sketches of properly oriented elements.
- 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).-18 through 7.4-25 An clement in plane stress is subjected to stresses a,, ay., and axy. (see figure). Using Mohr’s circle, determine (a) the principal stresses and (b) the maximum shear stresses and associated normal stresses. Show all results on sketches of properly oriented elements.An element on the top surface of the fuel tanker in Problem 7.2-1 is in biaxial stress and is subjected to stresses a = -48 MPa and ay = 19 MPa, as shown in the figure. Using Mohr’s circle, determine the following. (a) The stresses acting on an clement oriented at a counterclockwise angle ?? = 25° from the x axis. (b) The maximum shear stresses and associated normal stresses. Show all results on sketches of properly oriented elements.