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A. A set of displacements for a deformable body are given as a = 2x -...
Part A - Question 3 (Total Marks for Part A - Question 3:20) A steel beam...
Part A - Question 3 (Total Marks for Part A - Question 3:20) A steel beam in an industrial structure is part of a complicated frame that was difficult to analyse. Using a rectangular strain gauge rosette, the actual strains at point A have been recorded while being subjected to test loads. It is necessary to determine the normal stresses and shear stresses in the actual beam subject to the test loads to check whether the stresses assumed in the...
4) At a point in a stressed body, the strains, related to the coordinate set xyz,...
4) At a point in a stressed body, the strains, related to the coordinate set xyz, are given by 100 600 600 -200 1150 400 1501 400 u -350 Determine (a) the strain invariants; (b) the normal strain in the x' direction, which is directed at an angle of 8 = 45° from the x axis; (c) the principal strains €, €2 and €3; and (d) the maximum shear strain. (20 points)
Each line in Table 1 represents a set of data corresponding to a given plane stress...
Each line in Table 1 represents a set of data corresponding to a given plane stress condition. The first three columns are strains (in microstrain) obtained using a three-element rectangular rosette. The final two items are material properties. For a selected set of data, determine the following: (a) The principal strains (b) The principal stresses (c) The maximum shear stress (d) Principal directions referred to the axis of gage a Also, sketch the following (e) Mohr's circles for stress (f)...
End of Semester 1, 2018 STEN2002 Civil Engineering Materials (Total Mark for Question 4: 18) Part...
End of Semester 1, 2018 STEN2002 Civil Engineering Materials (Total Mark for Question 4: 18) Part A - Question 4 7 complicated frame that was difficult to analyse Using a rectangular strain gauge rosette, the actual strains at point A have been recorded while being subjected to test loads. It is necessary to determine the principal stresses and shear stresses in the actual beam subject to the test loads to check whether the stresses assumed in the design of the...
Problem 3. The strain at point A on a pressure vessel wall has components Ex 480(10%...
Problem 3. The strain at point A on a pressure vessel wall has components Ex 480(10% and γχ,-650(106) Draw Mohr's circle and determine a) the principal strains at A in the x-y plane b) maximum shear strain (25%) Figure: 10-PO24
P13.017 (Multistep) The principal strains are ep- 4 5 με, εμ2- 905 με, and - 20.50...
P13.017 (Multistep) The principal strains are ep- 4 5 με, εμ2- 905 με, and - 20.50 for a point in a body subjected to plane strain. Construct Mohr's circle and use it to (a) determine the strains єх, ey, and ray. (Assume Ex > Ey) (b) determine the maximum in-plane shear strain and the absolute maximum shear strain (c) draw a sketch showing the angle 0p, the principal strain deformations, and the maximum in-plane shear strain distortions.
An existing steel beam is in use in a building.
An existing steel beam is in use in a building. Using a rectangular strain gauge rosette, the actual strains at point A have been recorded while being subjected to test loads which simulate crowd loading. It is necessary to calculate the principal stresses to check whether the beam is safe for its current purpose (ie: assess whether the stresses determined are less than the maximum permissible stresses) Figure 4: Strain gauge rosette location and recorded strains In this case it is reasonable...
Consider the given state of plane strain. εx = +60μ, εy = +240μ, γxy = -52μ Use Moh...
Consider the given state of plane strain. εx = +60μ, εy = +240μ, γxy = -52μ Use Mohr's circle to determine the orientation and magnitude of the principal strains. (Round the final answers to one decimal place.) The orientations are θb = ° θa = ° The magnitudes are εa = μ εb = μ Use Mohr's circle to determine the maximum in-plane shearing strain. (Round the final answer to one decimal place.) Use Mohr's circle to determine the maximum...
The measured strain values at point Q are as follows: Ea = 40(10), Eb = 980(10),...
The measured strain values at point Q are as follows: Ea = 40(10), Eb = 980(10), &c = 330(10) 1) Calculate the strain components Ex, Ey and Yxy at point Q. 2) Calculate the stress components Ox, Oy and Txy at point Q. 3) Determine the principal stresses at point Q, using Mohr's circle. The Young's modulus E = 200 GPa, shear modulus G = 76.9 GPa, Poisson's ratio v= 0.29. 《 s,
1. 4. A material is subjected to two mutually perpendicular strains 350 x10-6 units and -...
1. 4. A material is subjected to two mutually perpendicular strains 350 x10-6 units and - 50 x 10-6 units together with an unknown sheer strain, if the principal strain in the material is 420 x 10 units. If E - 200 GN/m? - 0.3, determine the following. a. a) Magnitude of the shear strain b. b) The other principal strain C. c) The direction of principal strains axes d. d) The magnitude of the principal stresses 1. 5. For...
Part A - Question 3 (Total Marks for Part A - Question 3:20) A steel beam in an industrial structure is part of a complicated frame that was difficult to analyse. Using a rectangular strain gauge rosette, the actual strains at point A have been recorded while being subjected to test loads. It is necessary to determine the normal stresses and shear stresses in the actual beam subject to the test loads to check whether the stresses assumed in the...
4) At a point in a stressed body, the strains, related to the coordinate set xyz, are given by 100 600 600 -200 1150 400 1501 400 u -350 Determine (a) the strain invariants; (b) the normal strain in the x' direction, which is directed at an angle of 8 = 45° from the x axis; (c) the principal strains €, €2 and €3; and (d) the maximum shear strain. (20 points)
Each line in Table 1 represents a set of data corresponding to a given plane stress condition. The first three columns are strains (in microstrain) obtained using a three-element rectangular rosette. The final two items are material properties. For a selected set of data, determine the following: (a) The principal strains (b) The principal stresses (c) The maximum shear stress (d) Principal directions referred to the axis of gage a Also, sketch the following (e) Mohr's circles for stress (f)...
End of Semester 1, 2018 STEN2002 Civil Engineering Materials (Total Mark for Question 4: 18) Part A - Question 4 7 complicated frame that was difficult to analyse Using a rectangular strain gauge rosette, the actual strains at point A have been recorded while being subjected to test loads. It is necessary to determine the principal stresses and shear stresses in the actual beam subject to the test loads to check whether the stresses assumed in the design of the...
Problem 3. The strain at point A on a pressure vessel wall has components Ex 480(10% and γχ,-650(106) Draw Mohr's circle and determine a) the principal strains at A in the x-y plane b) maximum shear strain (25%) Figure: 10-PO24
P13.017 (Multistep) The principal strains are ep- 4 5 με, εμ2- 905 με, and - 20.50 for a point in a body subjected to plane strain. Construct Mohr's circle and use it to (a) determine the strains єх, ey, and ray. (Assume Ex > Ey) (b) determine the maximum in-plane shear strain and the absolute maximum shear strain (c) draw a sketch showing the angle 0p, the principal strain deformations, and the maximum in-plane shear strain distortions.
The measured strain values at point Q are as follows: Ea = 40(10), Eb = 980(10), &c = 330(10) 1) Calculate the strain components Ex, Ey and Yxy at point Q. 2) Calculate the stress components Ox, Oy and Txy at point Q. 3) Determine the principal stresses at point Q, using Mohr's circle. The Young's modulus E = 200 GPa, shear modulus G = 76.9 GPa, Poisson's ratio v= 0.29. 《 s,
1. 4. A material is subjected to two mutually perpendicular strains 350 x10-6 units and - 50 x 10-6 units together with an unknown sheer strain, if the principal strain in the material is 420 x 10 units. If E - 200 GN/m? - 0.3, determine the following. a. a) Magnitude of the shear strain b. b) The other principal strain C. c) The direction of principal strains axes d. d) The magnitude of the principal stresses 1. 5. For...
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