The principal strains are given as εp1 = 620 με and εp2 = -490 με, and...
The principal strains are given as εp1 = 620 με and εp2 = -490 με, and the angle of rotation from the x-y coordinate system to the principal-stress coordinate system is θp = -20° for a point in a body subjected to plane strain. Assume εx > εy. Use Mohr’s circle to determine the normal strain εx.
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The principal strains are given as
εp1 = 620 με and
εp2 = -490 με, and...
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.
A point of the material subjected to plane strain has strains: εx = 120×10-6, εy =...
A point of the material subjected to plane strain has strains: εx = 120×10-6, εy = 70×10-6 and γxy = 80×10-6. The modulus of elasticity and poisson's ratio of the material is E = 210 GPa and ν = 0.3 respectively. Determine the normal stress along the x axis σx = Answer MPa (rounding to two decimal places).
For the given state of plane stress, calculate the strains on each faces. (E=200 GPa, G=70...
For the given state of plane stress, calculate the strains on
each faces. (E=200 GPa, G=70 GPa, and v=0.3). a) Calculate the
principal strains and angle ?? at which it occurs. b) Calculate the
maximal shear stress in the plane and angle ?? at which it occurs.
(Hint; You can construct Mohr’s Circle for strain transformation
with the same rules as we constructed in stress
transformation)
80 MPa 40 MPa 50 MPa
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 strain rosette shown was used to obtain normal strain data at a point on the free surface of a machine component. Given the values εa= -185 με, εb= -150 με, εc= 55 με, E = 10,800 ksi, and v = 0.33...
The strain rosette shown was
used to obtain normal strain data at a point on the free surface of
a machine component. Given the values εa= -185 με, εb= -150 με, εc=
55 με, E = 10,800 ksi, and v = 0.33,
determine
(a) the stress components σx, σy, and τxy at the point.
(b) the principal stresses and the maximum in-plane shear stress at
the point; on paper, show these stresses on an appropriate sketch
that indicates the orientation...
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)
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...
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...
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...
Please work the problem out rather than copying someone else's answer. The other post's answer wa...
Please work the problem out rather than copying someone else's
answer. The other post's answer was wrong and I don't understand
this practice problem
The strain rosette was used to obtain normal strain data at a point on the free surface of a machine part. The measurement are -1110 με. Poisson's ratio for this material is v 0.34. 1290 με, eb-2210 με, and Ec (a) Determine the strain components Ex, £y, (b) Determine the principal strains and the maximum in-plane...
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.
For the given state of plane stress, calculate the strains on
each faces. (E=200 GPa, G=70 GPa, and v=0.3). a) Calculate the
principal strains and angle ?? at which it occurs. b) Calculate the
maximal shear stress in the plane and angle ?? at which it occurs.
(Hint; You can construct Mohr’s Circle for strain transformation
with the same rules as we constructed in stress
transformation)
80 MPa 40 MPa 50 MPa
The strain rosette shown was
used to obtain normal strain data at a point on the free surface of
a machine component. Given the values εa= -185 με, εb= -150 με, εc=
55 με, E = 10,800 ksi, and v = 0.33,
determine
(a) the stress components σx, σy, and τxy at the point.
(b) the principal stresses and the maximum in-plane shear stress at
the point; on paper, show these stresses on an appropriate sketch
that indicates the orientation...
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)
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...
Please work the problem out rather than copying someone else's
answer. The other post's answer was wrong and I don't understand
this practice problem
The strain rosette was used to obtain normal strain data at a point on the free surface of a machine part. The measurement are -1110 με. Poisson's ratio for this material is v 0.34. 1290 με, eb-2210 με, and Ec (a) Determine the strain components Ex, £y, (b) Determine the principal strains and the maximum in-plane...
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