2 -1 o =|-1 2 1 -1 2 -1 Find (a) Principal stress (b) Principal directions (c) Invariant
Q: For the state of plane stress shown in Figure-1. below; a) Draw Mohr's circle, b) Find the maximum…
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Q: Q4/ The corner of a 0.4m_ 0.3m 9.2 m cubic element is displaced to point C, whose coordinates are…
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Q: A very thin rectangular plate (see figure (a)) is subjected to a biaxial plane stress state (σx,…
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Q: A solid disc rotating with maximum velocity V and having Poisson's ratio is u, then the maximum…
A: A solid disc rotating with maximum velocity v,then maximum tangential , radial stress develops(c) At…
Q: At a point on the free surface of a machine part (E = 214 GPa, G = 83 GPa), the state of the stress…
A: Given:σx=-30 MPaσy=15 MPaζxy=25 MPaθ=-25°
Q: Rod AB is fixed at side A with a length of 500m and a diameter of 20m. On side B, the rod…
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Q: 2. Assume the plane stress state: ơ1 = 50, 02 = -250, T12 = 150 (all stresses in MPa). 2.1. Sketch…
A: σ1=50MPa σ2=-250MPa τ12=150MPa To Find Mohr's Circle Principal stress and their direction Maximum…
Q: Stress Transformation & Mohrs Circle Consider a stress point in a structural member that is…
A: Given data: σx=60 MPaσy=90 MPaτxy=30 MPa Need to determine the principal stresses and maximum shear…
Q: Q1// An element in the boiler is triaxially stressed, the stresses distribution is given by (see…
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Q: For the plane stress case in the figure, a) the direction in which the normal stress is zero, b)…
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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: 1. A thin rectangular plate a = 20 mm x b = 12 mm (see figure below) is acted upon by a stress…
A: Given: To find: (a) The change in length of diagonal ACb) The shear strain, Yxv, along the length of…
Q: Estimate the normal stress (on) and shear stress (t) on the inclined plane as shown in the below…
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Q: x, y
A: The state of stress at a point is used to define different stress developed on three mutually…
Q: the direction where the normal stress is zero
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Q: If o, = 20 ksi, o, = 10 ksi, and ty = 30 ksi, what is the absolute maximum shear stress for the…
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Q: 3. An element in a strained body is subjected to a tensile stress of 100 MPa and a shear stress of…
A: When an amount of force act on an object, then the force has the tendency to change the shape of the…
Q: At a point in a given material the three dimensional state stress is given by ox = oy = oz = 10 MPa…
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Q: At a point on the free surface of a machine part (E = 214 GPa, G = 83 GPa), the state of the stress…
A: Given:σx=-30 MPaσy=15 MPaζxy=25 MPa
Q: 4. The state of stress at a point, for a body in plane stress, is shown in the figure below. If the…
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Q: The principal stresses at a point are : 40 MPa, 30 MPa and - 20 MPa. Calculate per unit volume the…
A: We know the main stresses at a place are known to be 40 MPa, 30 MPa, and -20 MPa. Total strain…
Q: Define the term parabolic shear-stress distribution?
A: Shear stresses in Beams: Consider a rectangular beam of width w and height h. The shear stress in…
Q: . An element in the boiler is triaxially stressed, the stresses distribution is given by (see Figure…
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Q: At a point in a strained material, the intensities of normal stresses on two planes at right angles…
A: Find the principal planes and principal stresses also find maximum shear stress.
Q: Find the shear stress about the neutral axis if V = 2000K.
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Q: て。 しx 6*
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Q: For the plane stress case in the figure, a) the direction in which the normal stress is zero, b)…
A: Given data: σx =7 N/mm2 σy =7 N/mm2 τxy =24 N/mm2 Need to determine the the direction in which the…
Q: At a point in an elastic material under strain, the stresses on the three mutually perpendicular…
A: Given: Normal tensile and shear stress on one plane are 60 N/mm2 and 40 N/mm2. Normal tensile and…
Q: 4-Find the stresses in each direction, also find the change in volume of the block of dimension 110…
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Q: acting on a very small member are shown in the figure. a) The greatest shear stress theory b) Find…
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Q: 934. If an element is subjected to the state of stress shown in Fig. P-934, find the principal…
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Q: If o, = 30 ksi, ơy = 20 ksi, and Txy = 10 ksi, what is the maximum in-plane shear stress in ksi? %3D
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Q: 4. For an element subjected to stresses of x= 70 ksi y=-15 ksi xy=30 ksi SAH: (a) Draw Mohr's…
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Q: A very thin rectangular plate (see figure (a)) is subjected to a biaxial plane stress state (σx,…
A: Given- εxx = 2.85x10−4 εyy = −1.90x10−4 E = 70 GPa = 70 x 103 MPa σz = τxz = τyz = τyx = 0
Q: An element in plane stress is subjected to stresses: o, = 85 MPa, o, = -30 MPa, and y = 32MPA, as…
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Q: M13.6 Principal stresses from rosette data scenes Ea -200 με %3D Eb = 200 με Ec 500 με 30° 30° Ex…
A: Given: “Since you have posted a question with multiple sub-parts, we will solve first three…
Q: The state of plane-stress at a point is given by σx = -200 MPa, σy = 100 MPa and txy = 100 MPa The…
A: Data given- σx = -200 MPa, σy = 100 MPa txy = 100 MPa
Q: Construct a Mohr circle using below information and label it appropriately. Using Iohr circle, find…
A: givennormal stress in X direction σX=150Mpanormal stress in Y diretion σY=100Mpasheer stress at XY…
Q: [4] In thin walled sphere, the wall is subjected to A. Hoop stress only B. Longitudinal stress only.…
A: 4. In thin walled sphere, the wall is subjected to A. Hoop stress only B. Longitudinal stress…
Q: Question: Find schematically the normal and shear stresses in the plane when the element in the…
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Q: ssume oz = 500, oy = 300, Tzy = 250, Oyicld = 350. Answer the following questions. Click here for…
A: Given Data⇒ σx=500 MPaσy=300 MPaζxy=250 MPa
Q: 5 -1 -1 If ɛ ij= -1 4 0 then principle strain values is -1 0 4 Ɛ; = 5,2,6 .1O E=3,2,6 .1I O Ej…
A: εij = εxxγxy2γxz2γyx2εyyγyz2γzx2γzy2εzz = 5-1-1-140-104
Q: A state of stress at a point A is given by σx = -75 MPa, σy = 122 MPa, and τxy = -3.75 MPa. Which of…
A: Given σx = -75 MPa σy = 122 MPa τxy = -3.75 MPa
Q: For the plane stress case in the figure,a) The direction in which the normal stress is zero,b)…
A: When an element is applied normal and shear stresses the resultant stresses can be expressed in…
Q: The isotropic material is subjected to the stress as shown in the figure and has elastic behavior.…
A: Given that, σxx=1 MPa,σyy=2 MPa,σzz=-3 MPa,τxy=0,τyz=0,τzx=1 MPa, Writing the formula for…
Q: For the plane stress case in the figure, a) The direction in which the normal stress is zero, b)…
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Q: When a steel rod below is subjected to torque (T = 1 kN · m) and bending moment (M = 4 kN m)…
A: Given data: The magnitude of torque is T = 1 kN.m. The magnitude of the bending moment is M = 4…
Q: state of the stress is illustrated in the figure below. For the given plane stress condition…
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Q: A shaft with a cylindrical cross - section is subjected at the same time to a torsional torque T =…
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- -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. aSolve the preceding problem if the norm al and shear stresses acting on the element are sx = 2100 kPa, sy= 300 kPa, and txy= -560 kPa, and the seam is oriented at an angle of 22.5° to the clement.The hollow drill pipe for an oil well (sec figure) is 6,2 in. in outer diameter and 0.75 in. in thickness. Just above the bit, the compressive force in the pipe (due to the weight of the pipe) is 62 kips and the torque (due to drilling) is 185 kip-in. Determine the maximum tensile, compressive, and shear stresses in the drill pipe.
- 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.The shear stresses t in a rectangular beam arc given by Eq. (5-43): in which Fis the shear force, / is the moment of inertia of the cross-sectional area, /lis the height of the beam, and i] is the distance from the neutral axis to the point where the shear stress is being determined (Fig. 5-32). By integrating over the cross-sectional area, show that the resultant of the shear stresses is equal to the shear force V.-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
- At a point on the web of a girder on an overhead bridge crane in a manufacturing facility, the stresses arc known to be x = —4300 psi, a = 1700 psi, and r = 3100 psi (the sign convention for these stresses is shown in Fig, 7-1). A stress clement located at the same point in the structure (but oriented at a counterclockwise angle 0, with respect to the _y axis) is subjected to the stresses shown in the figure {b, r», and 2100 psi). Assuming that the angle 8Xis between zero and 90°, calculate the normal stress trA, the shear stress ta, and the angle BvThe 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.-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.
- A fire extinguisher tank is designed for an internal pressure of 825 psi. The tank has an outer diameter of 4.5 in. and thickness of O.OS in. Calculate the longitudinal stress, the circumferential stress, and the maximum shear stresses (out-of-plane and in-plane) at the outer surface of the tank..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.Define the term parabolic shear-stress distribution?