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4) At a point in a stressed body, the strains, related to the coordinate set xyz,...
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...
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...
18 pts total 10.3-4. A 60-degree rosette has the given strain gauge measurement values. Determine a,b,c)...
18 pts total 10.3-4. A 60-degree rosette has the given strain gauge measurement values. Determine a,b,c) normal strains in x & y directions and xy-shear strain, d) average normal strain, e) maximum physical shear strain (not the radius in Mohr's circle), and f) maximum principal strain. You entered/3pts > = Normal strain in X-direction & (LL inlin) You entered/3 pts > = Normal strain in Y-direction &y (L inlin) J'ou entered/3pts > = Shear strain in XY-plane Yay (L inlin)...
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...
Question 4 0.5 points Save Answer Strain gage is a device that senses the strain of...
Question 4 0.5 points Save Answer Strain gage is a device that senses the strain of the structure. The property of the strain gage that is used to correlate with the strain to be measured is ductility electrical resistance yield strength Odensity Question 5 0.5 points Save Answer Shown in the figure below is a solid cylinder. The x-axis is along the longitudinal direction. The angle is measured with respect to the x-axis, positive if counterclockwise, t.e. towards the y-axis...
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...
The figure on the left below shows a stress block (plane strain condition is assumed, z...
The figure on the left below shows a stress block (plane strain condition is assumed, z axis is not shown here). Its components as well as the material properties are, • 0,= 10 MPa . O, is currently unknown • Txy = 30 MPa • Young's Modulus E = 150 GPa • Poisson's Ratio V=-0.25 • Note: Poisson's Ratio is negative Rotate the x-y axes in the anticlockwise direction by 45° (as shown in the figure on the right below),...
The state of stress at a point on a body is given by the following stress...
The state of stress at a point on a body is given by the following stress components: 0 = 15 MPa, Oy = -22 MPa and Try = 9 MPa Matlab input: sx = 15; sy = -22; txy = 9; 1) Determine the principal stresses 01 and 02. 1 = MPa 02= MPa 2) Sketch the principal stress element, defined by the rotation @pl. y Enter the rotation @pi (-360º < Opl < 360°): Opl = Add stress components:...
Example: 1.2 A wrench is made of steel (E=210 GPa, v=0.3) with elastic constants of strain...
Example: 1.2 A wrench is made of steel (E=210 GPa, v=0.3) with elastic constants of strain components for a state of plane stress at a critical point in the structure are calculated as 6, 50 x 10 = -75x10* 1 = 150 x 10"rad. a) Determine the complete strain and stress matrices in this state of stress, b) Determine the in-plane state of stress with rotating current coordinate system an angle of 45 degrees clockwise by applying either the transformation...
A cylindrical tank holding oxygen at 5000 kPa pressure has an outside diameter of 500 mm...
A cylindrical tank holding oxygen at 5000 kPa pressure has an outside diameter of 500 mm and a wall thickness of 10 mm. It has been determined that a critical point on the tank is subjected to the tensile stress of 465 MPa in x-direction, compressive stress of 350 MPa in y-direction and shearing stress of 600 MPa. By using Mohr’s Circle; Sketch the plane stresses element for the critical point. Determine the principal stresses and their locations. Determine the...
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...
18 pts total 10.3-4. A 60-degree rosette has the given strain gauge measurement values. Determine a,b,c) normal strains in x & y directions and xy-shear strain, d) average normal strain, e) maximum physical shear strain (not the radius in Mohr's circle), and f) maximum principal strain. You entered/3pts > = Normal strain in X-direction & (LL inlin) You entered/3 pts > = Normal strain in Y-direction &y (L inlin) J'ou entered/3pts > = Shear strain in XY-plane Yay (L inlin)...
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...
Question 4 0.5 points Save Answer Strain gage is a device that senses the strain of the structure. The property of the strain gage that is used to correlate with the strain to be measured is ductility electrical resistance yield strength Odensity Question 5 0.5 points Save Answer Shown in the figure below is a solid cylinder. The x-axis is along the longitudinal direction. The angle is measured with respect to the x-axis, positive if counterclockwise, t.e. towards the y-axis...
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...
The figure on the left below shows a stress block (plane strain condition is assumed, z axis is not shown here). Its components as well as the material properties are, • 0,= 10 MPa . O, is currently unknown • Txy = 30 MPa • Young's Modulus E = 150 GPa • Poisson's Ratio V=-0.25 • Note: Poisson's Ratio is negative Rotate the x-y axes in the anticlockwise direction by 45° (as shown in the figure on the right below),...
The state of stress at a point on a body is given by the following stress components: 0 = 15 MPa, Oy = -22 MPa and Try = 9 MPa Matlab input: sx = 15; sy = -22; txy = 9; 1) Determine the principal stresses 01 and 02. 1 = MPa 02= MPa 2) Sketch the principal stress element, defined by the rotation @pl. y Enter the rotation @pi (-360º < Opl < 360°): Opl = Add stress components:...
Example: 1.2 A wrench is made of steel (E=210 GPa, v=0.3) with elastic constants of strain components for a state of plane stress at a critical point in the structure are calculated as 6, 50 x 10 = -75x10* 1 = 150 x 10"rad. a) Determine the complete strain and stress matrices in this state of stress, b) Determine the in-plane state of stress with rotating current coordinate system an angle of 45 degrees clockwise by applying either the transformation...
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