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…
A: Modulus of elasticity represents the property of the material and also represents the relationship…
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?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.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.
- 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.= 2-Consider a 45° off-axis tensile test coupon. Three strain gages attached as shown below are reading el 0.00647, 2= -0.00324, and 3 = 0.008095 at stress level of ox=100 MPa. Determine the off-axis modulus of elasticity Ex the off-axis major Poisson's ratio vxy and coefficient of mutual influence of the second kind nxy,x 2 √²-01-² y 45° €2 0₂4.1: 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◦ = -850.10-6