The strain at a point is 780x10-s in the x, 400x10-6 in the y and -500x106 in the z direction. Determine the stress state if the Young's modulus is 10,640 ksi and v = 0.33.
Q: 2. A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet are 0.40 x…
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Q: The state of strain at a point on a wrench has components ϵx = 120(10-6), ϵy = -180(10-6), γxy=…
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Q: The strain at point A on the bracket has components P x = 300(10-6 ), Py = 550(10-6 ), gxy =…
A: Given data
Q: 3. A force P is applied to the rigid lever arm ABC as shown. The arm rotates counterclockwise about…
A: As per our guidelines we are supposed to solve only one question if multiple questions are asked .…
Q: The state of strain at the point on the spanner wrench has components of Px = 260(10-6), P y =…
A: Given data: Normal strain in x direction, εx = 260 x 10-6 Normal strain in y direction, εy = 320 x…
Q: The following piece is originally rectangular Determine the average normal strain that occurs along…
A: Consider the diagram of the given figure with proper dimensions as shown below, From the diagram…
Q: The strain at point A on a beam has components Px = 450(10-6), Py = 825(10-6), gxy = 275(10-6), Pz =…
A: Given data
Q: Determine the average normal strain that occurs along the diagonals AC and DB.
A: Consider the points A, B and C becomes A’, B’ and C’ as shown in the below figure. Evaluate the…
Q: The steel shaft has a radius of 15 mm. Determine the torque T in the shaft if the two strain gages,…
A: Write the given data:
Q: The strain gage is placed on the surface of the steel boiler as shown. If it is 0.5 in. long,…
A: Given data: Surface of the steel boiler l = 0.5 in. Elongation of gauge, Δl = 0.2 x 10-3 in. Boiler…
Q: A thin strip of rubber has an unstretched length of 15 in. If it is stretched around a pipe having…
A: The length of the thin strip is L = 15 in. The diameter of the pipe is d = 5 in. Let the stretched…
Q: The strain at point A on the pressure-vessel wall has components Px = 480(10-6), Py = 720(10-6), gxy…
A: Given: The normal strain in the vertical plane is PX=480×10-6. The normal strain in the horizontal…
Q: The load P produces an axial strain of –1,800 µɛ in post (2). Determine the axial strain in rod (1).…
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Q: What happens if the in-plane principal strains are of opposite signs? then theabsolute maximum shear…
A: Given: The maximum principal strain is ϵ1=ϵXY/2. The minimum principal strain is ϵ2=-ϵXY/2.
Q: The normal stresses at a point in a steel member are σx = 8 ksi, σy = -4 ksi, and σz = 10 ksi. Using…
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Q: The strain rosette shown has angles 0, = 0° (aligned with the x-axis), 0, = 60°, and 0, = 120°, We…
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Q: sions of the tee shape are b- 22 mm, d- 33 mm, and t 4 mm. After loads are app rmal strain of 410 He…
A: To find : calculate applied load P. Given; Eal=77 GPa cross section dimension of beam at different…
Q: Determine the lateral strain, in mm/mm, in the 5 mm diameter aluminum T6 rod when P = 8 kN. Use L =…
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Q: Determine the Poisson's ratio if the lateral strain is -0.1 and longitudinal strain is 0.4 Select…
A: Given data : Longitudinal strain is denoted by εL Lateral strain is denoted by εLt To find :…
Q: if the rod is subjected to a tensile load P = 6 kN, and has a diameter of 44 mm. if the modulus of…
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Q: The strain at point A on the bracket has normal components 300x106 and 440x106 in x and y…
A: GIven data: The strain along x-axis is εx=300×10-6 The strain along y-axis is εy=440×10-6 The shear…
Q: A single strain gage, placed in the vertical plane on the outer surface and at an angle 60° to the…
A: The force and moment on the strain gage can be shown as follows,
Q: Determine the Poisson's ratio if the lateral strain is -0.1 and longitudinal strain is 0.4 Select…
A: As per given question we have determine poisson's ratio
Q: A rigid steel bar is supported by three rods, as shown. There is no strainin the rods before the…
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Q: The state of plane strain on an element has components e,= Tay = 110(10 ). (Eigure 1) -480(10-6), e,…
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Q: The strain at point A on the bracket has normal components 400x10-6 and 550x10-6 in x and y…
A: Given Data: strain at point A=∈x=400×10-6∈y=550×10-6 Vxy=-650×10-6
Q: The strain at point A on the bracket has normal components 300x10-6 and 550x10-6 in x and y…
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Q: 10-9. The state of strain at the point has components of e, = 180(10“ ), e, = -120(10“), and y,y =…
A: Given: The strain along x-direction, εx = 180x10-6 The strain along y-direction, εy = -120x10-6 The…
Q: 3. A force P is applied to the rigid lever arm ABC as shown. The arm rotates counterclockwise about…
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Q: 3. Invert the plane stress form of Hooke's law and express the stress in terms of the strain…
A: Given data: poission's ratio=μElastic modulus=E Need to show the proof of given expressions.
Q: 7- The state of strain at the point has components in the X-axis = -210x10-6, in the y-axis =…
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Q: The state of strain at a point on the bracket has components of Px = 150(10-6), Py = 200(10-6), gxy…
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Q: PROBLEM 1. The state of strain at a point on an experimental aircraft wing has components, E. = 300…
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Q: The rigid beam is supported by a pin at A and wires BD and CE. If the load P on the beam causes the…
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Q: The state of strain at a point on a wrench has components E = 120(10-6), Ey = -180(10-6), Yzy=…
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Q: The strain at point A on the bracket has normal components 250x106 and 550x106 in x and y…
A: Shear strain is the ratio of the angle of deformation to the actual length of the object. ε=δL L is…
Q: The 60o strain rosette is mounted on a beam. The following readings are obtained for each gage: ϵa =…
A: Write the given data:
Q: 10–11. The state of strain on an element has components €x = -150(10-6), €, = 450(10-"), Yxy =…
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Q: The average normal strain and half the maximum in-planeshear strain is determined from the circle as…
A: In the Mohr's circle for the component under strains, the magnitude of the average normal strain is…
Q: The vertical steel rod has a constant diameter of 32 mm and a length of 400 mm. is hanged from a…
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Q: The steel shaft has a radius of 50mm. Determine the torque (T) applied to the shaft if the two…
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Q: The strain components ex = 466 µE, ey = -524 µe, and yxy = -646 µrad are given for a point in a body…
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Q: at A has coordinates (0, 0). If a load P acts on the ring at 3 becomes EAB = 0.02 in/in., and the…
A: data providedthe length of rod AB LAB = 5 in the length of rod Ac ,LAC = 8 in The normal…
Q: lever årm causes the arm to rotate clockwise through an angle of 3° about pin A. Determine the…
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Q: 6. Determine the lateral strain, in mm/mm, in the 5 mm diameter aluminum T6 rod when P = 8 kN. Use L…
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Q: Determine the Poisson's ratio if the lateral strain is -0.1 and longitudinal strain is 0.4 Select…
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Q: The 45° strain rosette is mounted on a steel shaft. The following readings are obtained from each…
A: Given data: Strain rosette of 45° angle is attached to the steel shaft εa…
Q: The bar has a length of 8 in. and a square cross-sectional area of 0.5 in. × 0.5 in. It is made of a…
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Q: The normal stresses at a point in a steel member are σx = 8 ksi, σy = -4 ksi, and σz = 10 ksi. Using…
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- An element of material in plain strain has the following strains: x = 0.001 and y = 0.0015. (a) Determine the strains for an element oriented at an angle = 250. (b) Find the principal strains of the element. Confirm the solution using Mohr’s circle for plane strain.An element of material in plain strain is subjected to strains x = 0.0015, , y . = -0.0002, and xy = 0.0003. (a) Determine the strains for an element oriented at an angle = 20°. (b) Determine the principal strains of the element. Confirm the solution using Mohr’s circle for plane strain.Solve the preceding problem if the plate is made of aluminum with E = 72 GPa and Poisson’s ratio v = 0.33. The plate is loaded in biaxial stress with normal stress sx= 79 MPa, angle Ø = 18°, and the strain measured by the gage is e = 925 × 10-6.
- A solid spherical ball of magnesium alloy (E = 6.5 × l0-6 psi, v = 0.35) is lowered into the ocean to a depth of 8000 ft. The diameter of the ball is 9.0 in. (a) Determine the decrease ?d in diameter, the decrease, ?V in volume, and the strain energy U of the ball. (b) At what depth will the volume change be equal to 0.0324% of the original volume?An element of material in plain strain is subjected to shear strain xy = 0.0003. (a) Determine the strains for an element oriented at an angle = 30°. (b) Determine the principal strains of the clement. Confirm the solution using Mohr’s circle for plane strain.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.
- Assume that the normal strains x and y , for an clement in plane stress (see figure) are measured with strain gages. (a) Obtain a formula for the normal strain x in the : direction in terms x , y and Poisson’s ratio v. (b) Obtain a formula for the dilatation L’ in terms of x , y and Poisson’s ratio v.- 7.2-26 The strains on the surface of an experiment al device made of pure aluminum (E = 70 GPa. v = 0.33) and tested in a space shuttle were measured by means of strain gages. The gages were oriented as shown in the figure. and the measured strains were = 1100 X 106, h = 1496 X 10.6, and = 39.44 X l0_. What is the stress o in the x direction?The state of strain at a point on a wrench has components E = 120(10-6), Ey = -180(10-6), Yzy= 150(10-6). Use Mohr's circle to solve the Part A problem. Determine the in-plane principal strains.
- 7- The state of strain at the point has components in the X-axis = -210x10-6, in the y-axis = 355x10-6, and in the x-y plane equations to determine the equivalent in-plane strains ( er,y.and Yx'y') on an element oriented at an angle -710x10-6. Use the strain-transformation of 55° counterclockwise from the original position.4.1: Unit elongation in three directions at a point a,Since Ꜫa = 120.10-6 Ꜫb = -320.10-6 Ꜫc = 650.10-6, find the unit elongation in the I - I direction. Draw the mohr circle of the Strain state. Answer = Ꜫ45◦ = -850.10-6Determine the change in length, width and thickness of steel bar which is 4m long, 30mm wide and 20mm thick and is subjected to an axial pull of 30 kN in the direction of length. Take E = 200 GPa and poison's ratio of 0.3. Also determine the volumetric strain and change in volume.