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The rectangular steel plate below measures 1 m x 0.5 m x 10 mm. Assume that...
Question 1 The cylindrical pressure vessel shown has an inside diameter of 625 mm and a...
Question 1 The cylindrical pressure vessel shown has an inside diameter of 625 mm and a wall thickness of 5 mm. The cylinder is made of an aluminum alloy that has an elastic modulus of E = 70 GPa and a shear modulus of G-26.3 GPa. Two strain gages are mounted on the exterior surface of the cylinder at right angles to each other; however, the angle θ is not known. If the strains measured by the two gages are...
Please answer this question A rectangular plate of dimensions X = 290 mm and Y =...
Please answer this question
A rectangular plate of dimensions X = 290 mm and Y = 100 mm is formed by welding two triangular plates (see figure). The plate is subjected to a compressive stress ox of 4.5 MPa in the long direction and a tensile stress Oy of 13.5 MPa in the short direction. Using Mohr's Circle (2 points for the correct drawing); determine the normal stress ow acting perpendicular to the line of the weld and the shear...
2. 20 points: A plate of ductile cast iron [E = 200 GPa, v=0.38, alpha =...
2. 20 points: A plate of ductile cast iron [E = 200 GPa, v=0.38, alpha = 5.2x10degC) has a width a = 397 mm, a height b = 266 mm., and a thickness t = 33 mm. As shown in the figure, the plate is constrained between two rigid, perfectly smooth surfaces at an ambient temperature of 40°C. The plate is compressed by a constant normal stress Ox = 250 MPa. Assume that plane-stress conditions exist. Rigid Rigid (a) Determine...
Question 3 Not yet answered A rectangular plate of dimensions X = 275 mm and Y...
Question 3 Not yet answered A rectangular plate of dimensions X = 275 mm and Y = 150 mm is formed by welding two triangular plates (see figure). The plate is subjected to a compressive stress ox of 4 MPa in the long direction and a tensile stress oy of 12 MPa in the short direction. Marked out of 5.00 V Flag question Using Mohr's Circle (2 points for the correct drawing): determine the normal stress ow acting perpendicular to...
alem1s aonsalpn A rectangular plate is subjected to a plane stress state with principal stresses: σ,-67...
alem1s aonsalpn A rectangular plate is subjected to a plane stress state with principal stresses: σ,-67 MPa and σ,--23 MPa. The first principal stress acts in the x-direction and the second principal stress acts in the y-direction. The in-plane dimensions of the plate are given below. The out-of-plane dimension is 20 mm. The plate is made of material with E 200 GPa and v 0.30. Answer the following questions. a) What is the maximum in-plane shear strain Vmax in the...
3. A [0/90]s graphite/epoxy laminate is subjected to a tensile normal load of 1N/m in the x- dire...
3. A [0/90]s graphite/epoxy laminate is subjected to a tensile normal load of 1N/m in the x- direction (the direction parallel to the fibers in the 0° ply). Assume the thickness of each ply is 5 mm and use properties of unidirectional graphite/epoxy lamina from the table. a) Calculate the resultant strains of the laminate b) Calculate the global stresses in the laminate c) Calculate the principal stresses (stresses in material directions) of the top layer. Typical Mechanical Properties of...
A rectangular plate of dimensions X = 265 mm and Y = 100 mm is formed...
A rectangular plate of dimensions X = 265 mm and Y = 100 mm is formed by welding two triangular plates (see figure). The plate is subjected to a compressive stress o of 4 MPa in the long direction and a tensile stress Oy of 14.5 MPa in the short direction. Using Mohr's Circle (2 points for the correct drawing); determine the normal stress ow acting perpendicular to the line of the weld and the shear stress tw acting parallel...
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...
Question 2 I (a) Using a 459 strain gauge rosette placed on a mild steel structure,...
Question 2 I (a) Using a 459 strain gauge rosette placed on a mild steel structure, the following strains were established from the measurements taken:£x = 75x10", Eyy =-115x10-6 = 210 10-6 and Yxy yy (i) Determine the corresponding normal stresses Ox and and shear stress txy. For mild steel, use Young's modulus E= 205 GPa , Poisson's ratio v=0.3 and shear modulus G = 78.8 GPa. [6 marks] (ii) Using the values obtained in (i), determine the principal stresses...
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),...
Question 1 The cylindrical pressure vessel shown has an inside diameter of 625 mm and a wall thickness of 5 mm. The cylinder is made of an aluminum alloy that has an elastic modulus of E = 70 GPa and a shear modulus of G-26.3 GPa. Two strain gages are mounted on the exterior surface of the cylinder at right angles to each other; however, the angle θ is not known. If the strains measured by the two gages are...
Please answer this question
A rectangular plate of dimensions X = 290 mm and Y = 100 mm is formed by welding two triangular plates (see figure). The plate is subjected to a compressive stress ox of 4.5 MPa in the long direction and a tensile stress Oy of 13.5 MPa in the short direction. Using Mohr's Circle (2 points for the correct drawing); determine the normal stress ow acting perpendicular to the line of the weld and the shear...
2. 20 points: A plate of ductile cast iron [E = 200 GPa, v=0.38, alpha = 5.2x10degC) has a width a = 397 mm, a height b = 266 mm., and a thickness t = 33 mm. As shown in the figure, the plate is constrained between two rigid, perfectly smooth surfaces at an ambient temperature of 40°C. The plate is compressed by a constant normal stress Ox = 250 MPa. Assume that plane-stress conditions exist. Rigid Rigid (a) Determine...
Question 3 Not yet answered A rectangular plate of dimensions X = 275 mm and Y = 150 mm is formed by welding two triangular plates (see figure). The plate is subjected to a compressive stress ox of 4 MPa in the long direction and a tensile stress oy of 12 MPa in the short direction. Marked out of 5.00 V Flag question Using Mohr's Circle (2 points for the correct drawing): determine the normal stress ow acting perpendicular to...
alem1s aonsalpn A rectangular plate is subjected to a plane stress state with principal stresses: σ,-67 MPa and σ,--23 MPa. The first principal stress acts in the x-direction and the second principal stress acts in the y-direction. The in-plane dimensions of the plate are given below. The out-of-plane dimension is 20 mm. The plate is made of material with E 200 GPa and v 0.30. Answer the following questions. a) What is the maximum in-plane shear strain Vmax in the...
3. A [0/90]s graphite/epoxy laminate is subjected to a tensile normal load of 1N/m in the x- direction (the direction parallel to the fibers in the 0° ply). Assume the thickness of each ply is 5 mm and use properties of unidirectional graphite/epoxy lamina from the table. a) Calculate the resultant strains of the laminate b) Calculate the global stresses in the laminate c) Calculate the principal stresses (stresses in material directions) of the top layer. Typical Mechanical Properties of...
A rectangular plate of dimensions X = 265 mm and Y = 100 mm is formed by welding two triangular plates (see figure). The plate is subjected to a compressive stress o of 4 MPa in the long direction and a tensile stress Oy of 14.5 MPa in the short direction. Using Mohr's Circle (2 points for the correct drawing); determine the normal stress ow acting perpendicular to the line of the weld and the shear stress tw acting parallel...
Question 2 I (a) Using a 459 strain gauge rosette placed on a mild steel structure, the following strains were established from the measurements taken:£x = 75x10", Eyy =-115x10-6 = 210 10-6 and Yxy yy (i) Determine the corresponding normal stresses Ox and and shear stress txy. For mild steel, use Young's modulus E= 205 GPa , Poisson's ratio v=0.3 and shear modulus G = 78.8 GPa. [6 marks] (ii) Using the values obtained in (i), determine the principal stresses...
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),...
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